diff --git "a/data/dm_maths/full_data/1580_11255.jsonl" "b/data/dm_maths/full_data/1580_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1580_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the common denominator of (-1)\/(-15)*((-1286)\/(-8) + -2) and 101\/152?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 7 = -4*a - 7, 0 = 5*z + a - 7. Suppose -2*l + 0*l = 2*r - 10, z*r = -l + 13. Which is bigger: r or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 7 - 61 = 0. Let s be 72*(4 - 27\/12)*1. Calculate the highest common factor of s and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 10:30 PM?\nAnswer: 11:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m + 3. Let a be r(-3). Let o(j) = 4*j + 4. Let p be o(-2). Let n = 0 + -2. Put p, n, a in increasing order.\nAnswer: p, a, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.54 - -0.06. Let t = -0.196 + 11.496. Let o = t - 11.5. Which is the nearest to 1\/4? (a) o (b) n (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2b5c (base 15) in base 6?\nAnswer: -111040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a factor of 752309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, w: 1, a: 1, z: 4, g: 1, x: 9}. Give prob of picking 1 a, 1 t, 1 g, and 1 w.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*o + 0 - 2\/11*o**2.\nAnswer: -2*o**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 48 - 62. Let b = 791 - 776.32. Let t = b + h. Round t to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 5 (c) -0.3 (d) -0.2 (e) 0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6474.0114 - 6535. Let x = 61 + s. What is x rounded to 3 decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 + (-558)\/183)*82\/(-3). Let d = 3380\/427 - g. Find the common denominator of d and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-11 + 11 + 1 + 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.6 - 0.57. Let u = -0.0299977 + x. What is u rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-408)\/(16\/4) + -4. Let d = l + 116. Calculate the smallest common multiple of 20 and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from jjn?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of -1\/10*r**5 - 7\/12*r**4 + 25*r**2 - 5*r - 4\/3*r**3 + 0. Suppose g(o) = 0. Calculate o.\nAnswer: -4\/3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5136?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 AM and 7:13 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 0 - -2 - (-15 + 10)) + -6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(2\/35)\/(y**(2\/23)\/y) assuming y is positive.\nAnswer: y**(781\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 3 - (22 + -23). Sort 3, 2, 8, t.\nAnswer: 2, 3, t, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 1 = 2*b. Put 0, -15, b in increasing order.\nAnswer: -15, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/80 and -103\/88790.\nAnswer: 710320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -18 (c) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -8296*h - 2945074. What is l(-355)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.26949 rounded to 1 dp?\nAnswer: 25.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 912?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -915\/2 - -460. Let j = -0.3 + 0.2. Which is the biggest value? (a) o (b) -4 (c) j (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 36511 and -131 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26 and 56758?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 996 divided by -249\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 1837160533?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-4 + -3)) + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -20. Is i < -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*-6*(sqrt(121) + sqrt(121) + sqrt(121)*1 + sqrt(121) - sqrt(121)))\/(-1*sqrt(11)*2 + sqrt(1331)*2 + sqrt(11)))**2*6.\nAnswer: 9504\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of 0 + 1\/12*u**4 - 2\/3*u**3 + 1\/60*u**5 - u**2 + 0*u. What is the units digit of o(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -251949476 - -206.947.\nAnswer: -251949269.053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 (base 4) in base 10?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -3*z + 2, 0 = 2*f + 5*z - 17 - 7. Let g(c) = -f*c + 0 + 0. Let p(t) = 6*t - 5. Let w(l) = 21*l - 18. Let n(r) = 18*p(r) - 5*w(r). Give n(g(m)).\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -8*u**2 - 24166*u - 216842. Determine n(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 753*t - 1398. What is c(2)?\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-1*sqrt(171)*-1 + (0 + (1 + sqrt(171) - sqrt(171)) + sqrt(171))*2)**2*-3.\nAnswer: -4629 - 108*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7364030191 to the nearest integer?\nAnswer: 1946","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 119559*-0.094\nAnswer: -11238.546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 6. Let p = 11.36 - 7.36. Which is the second smallest value? (a) 0.5 (b) p (c) u (d) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219 is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 38667557 to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 249, 962, 2151, 3816, 5957, 8574?\nAnswer: 11667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - k + 525 = 0. Suppose 2*c - 174 = -4*d, -5*c + k = -3*c + 3*d. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) -0.3 (c) 0.2 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 240*z - 4*d = 238*z - 34, 0 = z - 4*d + 31 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -51626 + 82029. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3*f**4 + 62*f**3 - 1013*f**2 - 2512*f + 3468. Let q(d) = -8*d**4 - 187*d**3 + 3040*d**2 + 7537*d - 10404. Let j(o) = 4*q(o) + 11*v(o). Factor j(l).\nAnswer: (l - 34)**2*(l - 1)*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5021*m**3 - m**2 - m - 59792?\nAnswer: 15063*m**2 - 2*m - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12676\/310562)\/((-4)\/(-49)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-1485)*6*3.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.796 + -0.044. Let b = x + 0.8399963. Round b to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 323*s - 110*s - 107*s + 56 - 103*s to q + p*s and give q.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -6918809.112 rounded to the nearest one hundred?\nAnswer: -6918800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1507 + 506 + 2084*f - 84 wrt f.\nAnswer: 2084","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2 + 3*z**3 - 2*z**3 + 1 - 2 - 2*z. Is p(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 d when three letters picked without replacement from xdkkakaaaau?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 5*y - 45 = 0. Let p = y + 18. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/sqrt(2))\/sqrt(4) + sqrt(5) + sqrt(5) + (sqrt(5) + -1)**2 + -1 - (sqrt(5) + (sqrt(20) - sqrt(40)\/sqrt(2))\/sqrt(4) + sqrt(125)*1).\nAnswer: -5*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 573 a factor of 42422055?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/4))**(-4\/13))**39 assuming l is positive.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of -13\/110*s**5 + 3\/22*s**4 + 16\/11*s**2 - 3*s + 0 + 2\/165*s**6 + 40\/33*s**3. Find r such that v(r) = 0.\nAnswer: -1, -1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19 + 34 - 60 + 13 + 2*c + 22*c**3 as x*c**3 + h + g*c + b*c**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 + 9*q - 3. Let u be s(8). Suppose 2*a = 4*a - 3*y + 18, 0 = 4*a - u*y + 32. Let d(h) = h + 4. Let k be d(a). Does 2\/9 = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -16467403 and -123?\nAnswer: 16467280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/4 - 5\/10. Suppose x = u + 2*x - 6, 5*x - 10 = y. Suppose 5*j = 3*t - 48, 0 = -9*j + u*j. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 267 + -455. Let a be (m\/235)\/(14\/180*-4). Find q such that 4\/7 - a*q + 20\/7*q**2 - 6\/7*q**3 = 0.\nAnswer: 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51, -1, -453.\nAnswer: -453, -51, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 264 or 263?\nAnswer: 264","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + p + 7*a - 13236 = 0, -3*a = p - 2660. Calculate the smallest common multiple of 20 and p.\nAnswer: 13180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18181 times -0.367?\nAnswer: 6672.427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 4 = 4*l + 2, -5*m = 3*l - 12. Let k(v) = -10*v**2 + 7*v - 6. Let x be k(m). Which is greater: -76 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 2478?\nAnswer: 2478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3743281*f*g - 9428560*f with respect to g.\nAnswer: -3743281*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16464017 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-510)\/714 - (-75409)\/7?\nAnswer: 2, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + -0.1. Let y = -36.5 - -37. What is the nearest to 0.1 in y, j, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 - -15. Suppose -2*b + b - 5 = p. Let d = 5 + b. Solve d = 4*g - 2*n + 3*n + 24, -5*g - 5*n - 45 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.146 minus 15.9?\nAnswer: -15.754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1167 and 14393.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 156006168?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 6 = 2*n. Let k = n + 16. Suppose -5*v + 43 = -2*g + k*g, 29 = 4*v + 5*g. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 10:20 PM?\nAnswer: 10:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-4\/13)*v\/(v\/(v\/v**20)) assuming v is positive.\nAnswer: v**(-251\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a millimeter in micrometers?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 101, 106, 113, 122?\n\"Answer: c**2 + 2*c + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/(-8))\/((-30)\/220). Solve 4*v = -4*a + 7*a - 11, a = 5*v + t for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h + 1. Let k be o(1). Let v be 0 - ((-12)\/k - -2). Suppose -v*q - 2*q = -48. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 4*k - 4*k = 5*k, 4*k = -5*s + 37 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 697? (a) 3\/4 (b) 3 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.01 (b) -5 (c) -1819941\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oooo when four letters picked without replacement from ooooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/962? (a) -4 (b) -5 (c) 5\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1053629?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 5 + 4 + -2 + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 101 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r**2. Let q(s) = -2244*s + 18662. Give q(n(y)).\nAnswer: 4488*y**2 + 18662","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28983.\nAnswer: 3, 9661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 AM and 7:16 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that f**3\/2 + 708*f**2 + 29315*f\/2 + 13950 = 0.\nAnswer: -1395, -20, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 7*b**2 + 6*b - 12. Let c be i(7). Let y be (48\/c)\/(2\/5). Let h(n) = y + n - 2*n - 8 + 5. Determine h(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*r**2 + 3*r**2 + 3*r**2 + 7*r**2 - 5*r**3 wrt r?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 40 + -40. Which is smaller: o or 1\/54?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5049330, -5049331, -5049332, -5049333?\nAnswer: -5049334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 60*y**6 - 4*y**2 - 1 - 3 - 27*y**6 wrt y.\nAnswer: 3960*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02978782 to four decimal places.\nAnswer: -0.0298","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -3*x**2 + 10*x. Let d(g) be the third derivative of -g**5\/60 - g**3\/6 + 12*g**2. Let j(l) = -4*d(l) + p(l). Calculate j(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) -0.13 (c) -0.1 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**2 - 307498365*x.\nAnswer: -5*x*(x + 61499673)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -243 + 1704\/7. Let y = 45 + -50. Sort -0.1, b, y in decreasing order.\nAnswer: b, -0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16199 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 99 or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 10) in base 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of 2*f**4 - f**2\/2 - 1. Suppose k = -4*s - 46, s - 32 = 3*s + 5*k. Let t = -10 - s. What is u(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -183945073, -367890149, -551835225, -735780301?\n\"Answer: -183945076*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(152) - ((2*sqrt(152)*1 - sqrt(152)) + sqrt(152) + sqrt(152))) + sqrt(152))*-1)\/(4*sqrt(800)*-2))**2.\nAnswer: 19\/6400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 546789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 + 12*h + 436. Suppose 18*s + 17*s = 9*s. Does 40 divide c(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16629 + -427264.\nAnswer: -443893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5389 = -653639*u + 653322*u for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 398 a factor of 2954354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33)\/(((-9)\/(-36))\/((-2)\/8))*145\/435?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -5. Suppose t - i*t + 25 = 0. Suppose 13 - 3 = t*y. Solve 0 = -y*l - 3*x + 5 + 4, 5*x = -2*l + 11 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {b: 1, r: 3, v: 2, c: 1, o: 7, a: 4}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -3590\nAnswer: 3590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 - 32*i - 10. Let v be p(-30). Calculate the highest common factor of v and 575.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -47806602\/11 + 1541952085\/352. Let h = y - 34494. Calculate the common denominator of h and -55\/28.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/4 (b) -4 (c) -57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1208*a + 305*a - 3 + 3 - 118*a as f*a + b and give f.\nAnswer: 1395","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 9. Suppose -w*f = f - 25. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 0 = -3*a + 4, -3*r = 4*a - 15. Let b(c) = 4*c**2 + c. What is b(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/((-100)\/(-5)) + (-6)\/(-8). Is -3\/71 greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.64 to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dudod. Give prob of sequence do.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a decade in months?\nAnswer: 1740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 169.6 * -0.04.\nAnswer: -6.784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + 7434\/(-234) + 15.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 200464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (3 - 3 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153 = -79*f - 113*f + 423 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -964.8, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -186985.7 rounded to the nearest 1000?\nAnswer: -187000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -5\/6 (b) 10 (c) -2\/5 (d) -0.3 (e) 4 (f) -365\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.7, 2, 4\/371 in increasing order.\nAnswer: -1.7, 4\/371, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 1:32 PM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(13\/2)*o**(-16) assuming o is positive.\nAnswer: o**(-19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52175976?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 75*g + 822 + 78 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/m**(-2\/5)))**(-9\/5)\/((m\/(m\/(m\/m**(-5))))\/(m\/m**(-1\/4))) assuming m is positive.\nAnswer: m**(-403\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8525 + (-19 - (-60)\/5)?\nAnswer: 2, 4259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate z**3 + 3*z**2 - 3055*z - 66373 with respect to z.\nAnswer: 3*z**2 + 6*z - 3055","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -3*u**3 + 25*u**2 - 51*u + 3. Let v be s(5). Suppose 2*g - 6 = 0, -5*g = 5*y + 113 - 23. Let p be (-6)\/y + 10\/14. Is v < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 374 and 109769?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.8 - -65.2. What is d rounded to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of -2*k**3\/15 - 8*k**2\/5 - 32*k\/5 + 4. Let a(i) = 0. Calculate i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = 5*l + 22, -n + 9*l - 4*l = -32 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 80 + -74. Let r be (-14 - -8)*(-2)\/c. What are the prime factors of (2\/r)\/((-7)\/(-1036))?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 808386 is divided by 5733?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010 + 1000?\nAnswer: 11010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 71 + 6*v**3 - 71 + (-2*v + 2*v - v**2)*(4*v - 4*v - v) to c*v**3 + m*v**2 + f*v + a and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + 52*x**2 - 2736*x + 122076. What is o(48)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4587, -5736, -6885, -8034?\n\"Answer: -1149*y - 3438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -3*p + 12, 22*k - 24*k = 8*p - 34 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + 1*(-3 + 5). Suppose 3*q - 4*o - 19 = 0, -1 = 3*q + g*o + 16. Let v = 0.51 - 0.11. What is the closest to q in v, 0, 0.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16912*r + 1 - 16912*r - 42*r**2 - 357*r**2 to the form l*r + d + u*r**2 and give u.\nAnswer: -399","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-84)\/20 - (17\/2 + -10)\/((-90)\/(-72)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10101 (base 2) in base 5?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2150968*l + 5420866 wrt l.\nAnswer: -2150968","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: 21 (base 5) to base 14\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 = -4*y + 90. Suppose y = c - 3*p, 0 = 2*c + c - 3*p - 108. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 5, -4, -0.218 in ascending order.\nAnswer: -4, -0.218, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.4 + -2.4. What is the smallest value in -5, x, -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -4*x + 3*a - 411, -4*x + 5*a = 823. Let j = -203 - x. Solve -22 + 6 = j*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6325*r**4 - 623*r**2 + 2*r.\nAnswer: -151800*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 47 - 182. Is 58 a factor of l\/180 - 1862\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 59347, 59348, 59337, 59308, 59255?\n\"Answer: -m**3 + 8*m + 59340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -33.06 to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + ((-18)\/99 - (-157)\/(-55)). Sort -1\/5, -38, -4, i in ascending order.\nAnswer: -38, -4, -1\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.24*-0.08\nAnswer: 0.0992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 0*z = 1. Does 2 divide 3 + (2 - z)*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5513.551ml to litres.\nAnswer: 5.513551","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.24 + 1.14. Let q = -5.1 - h. Let f = -7 + 9. Which is the fourth smallest value? (a) q (b) -0.5 (c) -7\/4 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*m - 87 = -7*m. Suppose -4*h + m*k = -1770, -k = -h - 0*h + 442. What is the hundreds digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 5 - (251 + -279).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - -4. Suppose 5*l - h = 3. Is 4 a factor of 63\/(-6)*l\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00199624174 to 7 decimal places.\nAnswer: -0.0019962","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = -4 + 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/2 and (-974)\/90 - (-22)\/99.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of 167*x**5\/5 - 143*x**2 - 343. What is the second derivative of h(k) wrt k?\nAnswer: 2004*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -30*w. Let p(r) = -330*r**2 + 4*r. Calculate x(p(c)).\nAnswer: 9900*c**2 - 120*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*w = -22*w + 14. Put 1, w, 1474 in descending order.\nAnswer: 1474, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28 - (2 - (-10 - -4))) + 0.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 12012100210001112?\nAnswer: 12012100210001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -93*q**2 - 47*q - 31. Let j(v) = 46*v**2 + 21*v + 14. Give 11*j(k) + 5*x(k).\nAnswer: 41*k**2 - 4*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/2*((-12880)\/(-69))\/(-10)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r**3 + 5*r**2 - 3*r + 2. Let k be w(-3). Solve 12 - 16 = k*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 5 (b) 7 (c) -68 (d) -13 (e) 111\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, i: 1, r: 1, q: 1, s: 4}. What is prob of sequence rqi?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(833) + 0)**2 + -4 - sqrt(833) - sqrt(833))*1.\nAnswer: -14*sqrt(17) + 829","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 235434613?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k**2 - 5. Let m(j) = j**2 + 2. Suppose -43*b + 39*b + 20 = 0. Give b*m(s) + 2*x(s).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -32*p - 49. What are the prime factors of c(-6)?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1301825, 2603616, 3905409, 5207204?\n\"Answer: c**2 + 1301788*c + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/1528 and 43\/16.\nAnswer: 3056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -336909736, -673819471, -1010729206, -1347638941, -1684548676, -2021458411?\nAnswer: -2358368146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 5*n = 2*l + 3, 3*n = -5*l + 24. Suppose -3*y - 5*d + 37 = 0, 4*d = -1 - l. Solve 6 + y = 4*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35 (base 15) to base 4\nAnswer: -302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/3, 26, -0.3, -0.5, 4, -18.1, 1\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -294841*l + 602447*l - 295800*l to the form x*l + f and give x.\nAnswer: 11806","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-30)\/(-8) - 6\/(-8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53104\/1137 equal to 47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-441)\/108 - -4)\/((-7)\/14).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (11\/44)\/(9 + (-1255)\/140). Solve 56*r = 63*r + p for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13281?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g + 1 - 1 - 29*g**2 + 32*g**2.\nAnswer: 3*g**2 + 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 70 - 50. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1461.11 and 121247.\nAnswer: 119785.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -419.3 + 402. Let w = 17 + m. What is the biggest value in w, -3, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.09 - 392076029.3\nAnswer: -392076029.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3700\/1036 - (-11)\/(-3)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 8*a = 12. Let u be a\/12 - (-63)\/12. Which is smaller: u or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 a factor of 16201152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 23*v + 22 = -25*v, 2*v - 8 = -2*u. Solve -u*c + 17 = -4*f, 3*f - f = -4*c + 24 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*s**5 - 5430*s**4 - 896234*s**3 - 30981186*s**2 - 90149876*s - 15372096 = 0.\nAnswer: -59, -3, -2\/11, 368","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.03368828 to three dps.\nAnswer: -1.034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(1088) + -3 - (sqrt(1088) - -1*-1*sqrt(1088)) - (2*(-1 + sqrt(1088)) + sqrt(1088) + -2*sqrt(1088)*2))**2.\nAnswer: -192*sqrt(17) + 4388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -545 + 246. Let o = d - -295. Which is the third smallest value? (a) 3 (b) o (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2 + 204777404*k - 5241723148622402.\nAnswer: -2*(k - 51194351)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 2*n**2 - 4*n + 1. Determine d(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11538770.\nAnswer: 2, 5, 163, 7079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -176141930 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1417 - -1422.808. Let x = 0.192 - 0.2. Let k = w + x. What is k rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 9 - 6 = 0. Let x(j) = 2*j. Let z be x(m). Suppose 4*n - 352 = -4*d + z*n, 0 = 4*n - 8. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 9*b**2 + 17*b + 12. Let x(f) = 4*f**2 + 8*f + 6. Let u(l) = -3*m(l) + 7*x(l). What is the units digit of u(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -441 in -74, -2, -0.01, 2\/3?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 6:20 PM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*m**5 - 6308*m**4 - 51*m**3 + 55*m**2 - 2*m + 5834 wrt m.\nAnswer: 180*m**2 - 151392*m - 306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/41 or 0?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 3*j + 6512, 0*j - 5*j - 19536 = -3*a. What are the prime factors of a?\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.15 - -0.65. Let x = -1.9873 + -0.0127. Which is the nearest to -0.1? (a) -6\/5 (b) o (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -25*j + 486. Let g be i(19). Let m(f) = -f**3 + 10*f**2 + 13*f - 16. Determine m(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of f**4\/4 - 4*f**3\/3 + 3*f**2\/2 + 2*f - 4. Let w be g(3). Suppose 0 = 5*l - w*l - 24. Solve 2*u = -0*u - l for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 0)*(-k - 2*k + 4*k)*(451*k**2 + 33*k**4 - 11*k**4 - 450*k**2).\nAnswer: 22*k**5 + k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, i: 1, d: 1, t: 1, s: 1}. What is prob of sequence idpd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -16*x. Let l be r(-2). Let m = -2 + l. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 - 4 + 5)*(-38*j + 117*j - 21*j) + (-1 - 1 + 4)*(j + 5*j - 3*j) to the form d*j + c and give d.\nAnswer: 528","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -398, -1403, -3078, -5423, -8438, -12123?\nAnswer: -16478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of -541*y**4\/8 + 16*y**3\/3 + 2*y**2 - 2. Is x(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 47 + -6?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -2*a**4 + 2*a**3 + 6*a**2 - 2*a - 4 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -c**9\/15120 - c**8\/8400 + c**7\/4200 + c**6\/1800 - c**3\/3 - c. Let g(u) be the second derivative of j(u). Factor g(q).\nAnswer: -q**2*(q - 1)*(q + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 2088 = -q - 3*n, -3*q + 6256 = -5*n. What are the prime factors of 3*(-5)\/(-75) + q\/15?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 26.1718 to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*j**5\/8 + 24*j**4 - 30*j**3 - 48*j**2.\nAnswer: -3*j**2*(j - 4)**2*(9*j + 8)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20022 + 1210020010212?\nAnswer: 1210020101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 0*w - 3*v + 10, 4*w - 3*v = -8. Let k(o) = -o - 8. Let l be k(-9). Let z(i) = l + i**2 - i + i. What is z(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (62*t + 31*t + 7*t)*(-2*t**2 + 2*t**2 - 2*t + 2*t**2 + 3).\nAnswer: 200*t**3 - 200*t**2 + 300*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/12 in 0.4, 29, 0.5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*j + 4*c = -146*j + 24, 0 = 2*j - 3*c + 11 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1382 + 1383. What is the greatest common divisor of g and 886?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 + 11*o - 10. Calculate l(-11).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 1294\/(-22))\/17. Let b be 14 + -18 - 4\/(-11). Let d = v + b. Which is smaller: d or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of 3*p**2\/2 + 9*p - 239. Let q(t) = -2*t**3 + 2*t**2 - t + 1. Let g be q(2). Let v(i) = -i - 2. Determine g*v(n) - 2*r(n).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1076901.15500354 + -1076915.855. Let q = 14.7 + u. Round q to 7 dps.\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9095650 or 9095564?\nAnswer: 9095564","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 AM and 4:38 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 221020 - -11002212210101?\nAnswer: 11002220201121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.012372462 rounded to five decimal places?\nAnswer: 0.01237","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/40820 and 139\/10225410.\nAnswer: 20450820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.044037 to 3 decimal places.\nAnswer: 0.044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 3*b - b)*(-4*b + 3*b + 3*b).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 + 5*o**2 + (0*o - 3*o + 5*o)*(-6*o + 26*o - 23*o) in the form t*o + q + b*o**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = -8*l + 50630 - 50570 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 31*g - 10 = -29*g, -5*y + 20 = -4*g. Let w(j) be the third derivative of j**4\/6 - j**3 + j**2. Let z be w(y). Which is smaller: -33\/5 or z?\nAnswer: -33\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(3\/4))**(26\/3))**(-2\/43)*(((o*o**(-2\/5))\/o)**(6\/11))**(-43) assuming o is positive.\nAnswer: o**(21473\/2365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/((-63)\/28))\/(1 - (-30)\/140*-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x + 1. Let z(o) = -o**2 + 7*o - 5. Let c = -4 + 5. Let l(d) = c*z(d) + 3*q(d). Suppose -b = 2*j - 3*b - 14, b + 1 = -2*j. Calculate l(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3 + 4*s - 5 + s**2 + 3*s. Let b be l(-8). Let k be (-1 - 1)*b\/(-6). What is the highest common divisor of 4 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, e: 2, f: 3, a: 4}. Give prob of sequence feve.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -4*t**2 + 3115*t + 100603. Give r(-31).\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 187\/1830 and 8\/305.\nAnswer: 1830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.623329mg to grams.\nAnswer: 0.003623329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 38969912*i + 88. Let m be c(1). Round m to the nearest 1000000.\nAnswer: 39000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 5579*z + 44684. Give v(-8).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of 3*z**5\/20 - z**3 - 2*z. Let q(o) = 2*o**3 - 5*o. Let a(d) = 4*q(d) - 3*y(d). Find the second derivative of a(w) wrt w.\nAnswer: -6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2*d - 18 = 0, -2*a - 11 = -a + 5*d. Let q(w) = 4*w + 5 - a - 2. Let s be q(2). Solve -3*g + 10 = 2*f - s*f, -2*g = -5*f - 10 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/14)\/k)\/k)**(-1\/36) assuming k is positive.\nAnswer: k**(3\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46013?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 162*a**2 + 212*a**2 + 1 + 155*a**2 + 360*a**2 in the form x + b*a**2 + g*a and give b.\nAnswer: 889","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 4 + 11 = 0, 22 = -f + 4*y. Let z(l) = l + 12. Let a be z(f). Let t be 6\/45*(-2)\/a. Is 0 less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 25*c - 80*c + 2 + 1. What are the prime factors of s(-2)?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-14)\/(-49))\/(1\/(2 - -12)). Suppose 274*u + 24 = 262*u. Which is the third smallest value? (a) -0.4 (b) 2 (c) j (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of 5\/6*k**3 + 0 + 1\/6*k**4 - 3\/2*k**2 + 17*k. Is 12 a factor of y(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**2 + 5557*s**3 - s**2 - 5555*s**3.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -6. Suppose 4*b = 4*l + 12, -4*l - b + 32 = 9. What is the fourth smallest value in -2\/5, r, l, 0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -553*x**3 - 540*x**3 + 243*x**3 - 267*x**3.\nAnswer: -1117*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 + 6*w + 2. Let a be y(-6). Let d(b) = 4*b**3 + b + 1 + 3*b**2 + 0*b - a*b. Let u(j) = j**3 + j**2 + 1. Give d(h) - 3*u(h).\nAnswer: h**3 - h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 4) to base 6\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1018067 and 94.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*(4 + 21\/(-2)). Differentiate -74*v**3 - 25*v + d*v - 11 + 12*v with respect to v.\nAnswer: -222*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 32150454 and -4.07.\nAnswer: 32150449.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 q when four letters picked without replacement from gqgtgtgggtttqgggqx?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 217109.\nAnswer: 199, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -5. Suppose -3*i - 29 = -4*v + 44, i = v - 19. Suppose -4*c + v = -2*w, 5*c - w + 0*w - 23 = 0. Solve 5*u + g - t = -c, 4*u = -4*g for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 110086200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -2 (b) -2\/29 (c) -0.7 (d) 0.024 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37 - -22. Suppose r + 0*r - 5*p + 15 = 0, 0 = 3*r + 2*p - 40. What is the remainder when y is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -41*i**3 - 5*i - 8. Let g be q(-3). What is the tens digit of (g\/8*-1)\/((-6)\/24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 783102833 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((((sqrt(288) - ((sqrt(288) + -1 + sqrt(288) + sqrt(288) - sqrt(288) - sqrt(288)) + 1) - sqrt(288)) + 3)*5)**2 + 1).\nAnswer: -10800*sqrt(2) + 44556","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/583, 6\/13, 1\/11?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61577.02l to millilitres.\nAnswer: 61577020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*y**3 - 4216*y**2\/5 - 40304*y\/5 + 89056\/5 = 0 for y.\nAnswer: -22, 46\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -5*p**3 - 5*p - 3. Determine z(-2).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -28.7 >= 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (14\/8)\/(6\/(-72)). Let l = 69 - b. Let v = l + -60. Calculate the greatest common factor of v and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22*r**2 - 12*r**5 + 22*r**2 + (7*r - 2*r + r)*(3 - 3 - 1)*(-91*r + 90*r - 4 - 2*r**4 + 0*r**4 - 2 - 2*r**4 + 2 + (3 - 3 - 2*r**3)*(0*r + r + r)).\nAnswer: 36*r**5 + 6*r**2 + 24*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 87 and 30?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -7*n + 1. Give w(-6).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, 0.2, 0.13, -377?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 12*b - 1. Let c(f) = 55*f - 5. Let i(y) = c(y) - 4*z(y). Suppose -19*k = -25*k - 18. What is i(k)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of 2*f**7\/7 - f**6\/3 + f**5\/10 - f. Factor h(w).\nAnswer: 2*w**3*(2*w - 1)*(3*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 731*m**2 - 417*m**2 + 1029*m**2.\nAnswer: 1343*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2 + 168*h - 890.\nAnswer: 2*(h - 5)*(h + 89)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -7225386.3 to the nearest ten thousand.\nAnswer: -7230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31406.3994 + -31412. Let t = 5.65 + a. What is t rounded to three decimal places?\nAnswer: 0.049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-24)*-3*5)\/((-11)\/((-924)\/(-35))).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z. Let v(t) = -221*t**2 + 4. Let u be -46 + 52 + 20\/(-2). Let l(n) = 2*n**2 + 1. Let w(f) = u*l(f) + v(f). What is b(w(o))?\nAnswer: -458*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(117)*1 + -3) - ((-1*sqrt(65)*2)\/(-1*sqrt(15)\/sqrt(3)))**2.\nAnswer: -55 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.283 less than -1235?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -53963.\nAnswer: 26981.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1759591 divided by -31?\nAnswer: 56761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.084932135 to 2 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1167027\/10 - 116565. Let s = k - 138. Suppose -1 - 2 = d + h, -4*d + 2*h + 12 = 0. Is d > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 4*s - 4*c, 46*c + 7 = -3*s + 47*c for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m, -19*m + 15*m + 1 = -4*j + 1. Let y be ((-3)\/(-2) + -1)*-22. Sort y, 5, j in descending order.\nAnswer: 5, j, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 63 and 183.\nAnswer: 3843","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 + 77 = -r - 4*k, 1 = -3*r + 2*k for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 6 = -2*g + 3*o, 5*o - 10 = -3*g. Suppose z + 4*z - 60 = g. Let p = z + -7. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of -9*a**5\/20 + 17*a**4\/4 - 5*a**3\/2 - 75*a**2\/2 - 353*a. Determine k so that h(k) = 0.\nAnswer: -1, 5\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -730010, -730045, -730080, -730115?\n\"Answer: -35*f - 729975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(3*(-1*sqrt(110)*-3 + -2*sqrt(110)*5))\/((5*(-2*sqrt(90) + sqrt(90)))\/sqrt(9)*-5))**2.\nAnswer: 43659\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - -2)\/(1\/3). Suppose 3*k - f = 6. Let w(q) = -q + 0*q + 2*q - 4. What is w(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 4*y = 0, -5*j + 6*y - 2*y = -36 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s + s**2 - 2*s + (2*s - 6*s - 2*s)*(-19*s - 888 + 888) + 2*s**2 + 0 + 0 in the form g*s**2 + c*s + d and give g.\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6956557 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*b - 26 + 24 = -33*b + 85*b - 26*b, -q - 9*b - 14 - 6 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 7:10 PM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 57 + -28 - (-95 - -21)\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of 3*u**8\/56 - u**5\/5 - 9*u**2\/2 - 18. Let g(m) be the second derivative of s(m). Find the third derivative of g(i) wrt i.\nAnswer: 1080*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 3. Let a = -35 + 36.7. Let t = n + a. Which is smaller: t or 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of 301*f**6\/40 + f**4\/12 + 98*f**3\/3 + 4*f**2 - 137*f. What is the second derivative of h(d) wrt d?\nAnswer: 5418*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 - 9*j + 1. Let c be p(9). Suppose 4*b - 6*b - 4 = 0. Let v be (c\/(-12))\/(b\/4). Which is bigger: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + 0. Suppose 143 = -2*o + x*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of p**3\/6 - p**2\/2 - 2*p + 587. Let u(s) = 2*s**3 + 5*s**2 - 3*s + 3. Calculate 3*r(g) + u(g).\nAnswer: 2*g**3 + 5*g**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w. Let u(z) = -655*z. Give u(b(n)).\nAnswer: 655*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3203 + -3?\nAnswer: 3200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 - 5*d**2 + 4*d - 4. Let c be (-34)\/(-9) + (-4)\/(-18). Suppose -3*y + 13 = w, 0*w + c*w = 2*y + 10. Determine k(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 13) + 28 + 1 + 0.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127048 + 254096 - 633*s**2 - 127048.\nAnswer: -633*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16908364 and 235774.\nAnswer: 118358548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ioio. What is prob of sequence ooi?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17 and 493.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 10:52 PM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 0) + -8 + 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.073 times 1?\nAnswer: 4.073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-25)\/20)\/5)\/((-9)\/(-24))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 565*r - 50880 + 11330 = 0 for r.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -266818 - -117933639\/442. Find the common denominator of v and 29\/6.\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1629 - 1621. Solve c + 3*g + a = 0, -4*c + 9*g + 12 = 10*g for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - ((-1 - -25) + -14)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1933, -3951, -6047, -8221?\n\"Answer: -39*s**2 - 1901*s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22955 by 97.\nAnswer: -22955\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21038 is divided by 21010?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 AM and 12:27 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*v**2 + 9 - 10 + 2 + (-6*v + 3*v + 2*v)*(-v + 0*v + 0*v) as b*v**2 + m*v + a and give b.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -25846, -103392, -232628, -413548, -646146, -930416?\n\"Answer: b**3 - 25851*b**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/188545 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of 4*h**2 - 2*h + 3. Let n be i(1). Solve n = 2*p - 4 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -0.4 (c) -0.28 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 164117266 by -1.\nAnswer: -164117266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -5 + 5*(sqrt(1300) - -1*-2*sqrt(1300)))**2.\nAnswer: 1000*sqrt(13) + 32600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3440 - 3.\nAnswer: -3443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 at most 31\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3 + 0 + x)*(5 - 4 - 3) as y + o*x and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/68*(-4 - 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 723, 715, 697, 663, 607?\nAnswer: 523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -6. Let t(y) = y**3 + 12*y**2 + 2*y + 30. Let x be t(-12). Put x, -1\/5, w in decreasing order.\nAnswer: x, -1\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -923, -908, -867, -788, -659, -468?\n\"Answer: 2*j**3 + j**2 - 2*j - 924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -x, -5*l - x = -6*l + 16. Let k be 3\/8*2*l\/(-21). Which is the nearest to 1? (a) -1 (b) -2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40 divided by 498\nAnswer: -20\/249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.93 + 0.07. Let l(q) = q**3 + 3*q**2 - 6*q - 4. Let b be l(-4). Suppose -b = -v - v. What is the third biggest value in -2, y, v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7910.35293 to 0 dps.\nAnswer: -7910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214*k + 206*k = -128 for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(4\/3)\/(b**(-1\/3)*b))\/(b*b*b**(-4\/9)\/b*b*b*b**(-5\/4)))\/(b\/(b\/(b*b**(-6\/11)*b))*b\/(b**(2\/5)\/b))**(-3\/14) assuming b is positive.\nAnswer: b**(31\/1980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.84426954799 minus 0.3?\nAnswer: 2.54426954799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -13*h + 10. Which is the nearest to h? (a) -25 (b) -2\/7 (c) -4 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1469 - 1467. Solve 4*f - 20 = -5*p + 8, -p = -f - r for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104886?\nAnswer: 2, 3, 5827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**4 + t**5 + t**4 + (-2*t - 2*t**2 + 2*t)*(0 + t**3 + 0) + (5 - 5 + t)*(-4*t**4 - t**4 - t**4).\nAnswer: -7*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 - 10*j + 17. Calculate the smallest common multiple of g(9) and 58.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4284\/7038)\/(18\/2070).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8196.\nAnswer: 2, 3, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -3 (c) 4 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2 - 1 + 0 + 41*s + 7. Is j(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -93*b + 159. Let r be w(2). Is r greater than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-19 - 31 + 15)*(9*y - 65*y**2 + y + 66*y**2) to o + u*y + r*y**2 and give r.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (75\/40)\/(18\/(-40)) + 4. What is the second smallest value in j, 0.1, -1\/82?\nAnswer: -1\/82","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -64740, -129478, -194216, -258954, -323692?\n\"Answer: -64738*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*p + 4*p + p - 3*p + 3*p**4 + 5*p**3 + 2*p**2 in the form q*p + a*p**4 + v*p**3 + z*p**2 + t and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/5)\/(1691\/445)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4290*n**2 + 4292*n**2 - 8580*n**2 + 6.\nAnswer: 2*n**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**4\/9 - 158*j**3\/9 + 340*j**2\/3 - 96*j.\nAnswer: 2*j*(j - 72)*(j - 6)*(j - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 12*d + 2. What is r(-2)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1 + 4.223974?\nAnswer: 3.123974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1094*i**2 - 453 + 73*i + 907 + 266*i + 60*i**2 - 453 wrt i?\nAnswer: -2068","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (23 - -1)*(-807)\/1076*21\/(-9)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 6*h - 132. Suppose -111 = -4*w + 3*o - 45, -81 = -3*w - 3*o. Give j(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 176 + -164. Solve -d*l - 1 = -11*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-8)*a**(-15))\/(a*a\/a**(-2))**(-3\/43) assuming a is positive.\nAnswer: a**(-977\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 938 + -922. Solve -4*w + s - 12 = 0, -2*s = -3*w - 3*s - l for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 561, -2844, -0.3.\nAnswer: -2844, -0.3, 561","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from viivvkivxxvv. What is prob of sequence vvv?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 4 = 44. Let s - 10*s**3 - 3*s - 10*s**3 + r*s**2 - 12*s**3 = 0. What is s?\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 1. Let c(h) = -h + 10. Let m(f) = c(f) - 6*o(f). Let l be -39*2*5\/30. Let i(v) = v**2 + 14*v + 13. Let k be i(l). Determine m(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.106415 from -0.2.\nAnswer: -0.306415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) 4 (c) -0.3 (d) -1\/4 (e) -41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s**3 - 12*s**2 + 31*s. Suppose -5*l = -l + a - 219, -2*a = -6. What is the smallest common multiple of l and p(4)?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 907583051*a**2 + 155356510*a?\nAnswer: 1815166102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-84)\/(-182)*(-39)\/(-12)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1)*r*r*r**2*r)\/((r*r\/(r*r\/(r\/(r*r*r**(2\/7))*r))*r)\/(r*r**(-2)))*(r**(3\/7)\/r*r*r**(2\/3)\/r*r)**(-1) assuming r is positive.\nAnswer: r**(25\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -371*v + 962. Determine d(3).\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -18.7 and -1546773.\nAnswer: 28924655.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33 and 9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6131 and 0.350055.\nAnswer: -6130.649945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55532239, 55532241, 55532243?\nAnswer: 55532245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*u**2 - u + u)*(0 + 0 + 213600*u - 13041*u**2 + 38604*u**2 - 213600*u) as s*u**2 + j*u**3 + g*u + h*u**4 + y and give h.\nAnswer: 102252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8699427817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 5:35 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/11 - 11854*x\/11 + 11832.\nAnswer: 2*(x - 5916)*(x - 11)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3561035 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**4 - 4*h**3 + 4*h**3 + (0 + 2 - 4)*(5*h**4 - 5*h**4 - 4*h**4) + 0*h**4 - h**4 - h**4.\nAnswer: 4*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/54, -3, -0.4, -0.05875, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - o + f - 12, -o + 3*f = 10. Let m = o + -1. Let i(s) = s. What is the remainder when i(2) is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 653072 and 272?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-625)\/100)\/(125\/(-600)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 128612 - 257169\/2. Determine g, given that -185*g**3 - 125*g**4 + 1 - c*g - 120*g**2 - 63\/2*g**5 = 0.\nAnswer: -1, 2\/63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 44, 217, 594, 1247, 2248?\n\"Answer: 12*x**3 + 30*x**2 - x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 4*f**2 + 12. What is q(7)?\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 2 + -36 + -4 + 8?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 342015 - -102.\nAnswer: 342117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 98 = -0. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67880023?\nAnswer: 67880023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3580 - -3583. Let u(q) = 2*q**2 + 4. Let i be u(4). Solve -4*d + 32 = f*r, 4*r + 3*d = -d + i for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 y when three letters picked without replacement from {o: 1, y: 4, v: 5, s: 8}.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -6404 (base 14) to base 2\nAnswer: -100001101100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**(1\/5))\/(m*m**7*m*m)*m\/(m**(2\/5)\/m)*m**5)**(2\/19))**(20\/3) assuming m is positive.\nAnswer: m**(-104\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2907899 + -3?\nAnswer: 2907896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 366 or 3661\/10?\nAnswer: 366","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.034171*23\nAnswer: -0.785933","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 240 = 4*c - 3*n + 266, 3*c - 3*n + 21 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((7\/(-2))\/((-357)\/(-68)))\/((-6)\/75)?\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -236740*v**3 + 1216*v**2 - 608*v + 304. Let r(a) = -3881*a**3 + 20*a**2 - 10*a + 5. Determine -304*r(y) + 5*w(y).\nAnswer: -3876*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.5 (b) 6 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*i + 24*i + 20*i + (3*i + 3*i - 2*i)*(0 - 3 + 1).\nAnswer: 28*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 - -18. Let a be ((-404)\/(-6) - -4) + (-10)\/(-15). Suppose a = i*d - 96. What are the prime factors of d?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35 + -32.8. Let n = -10334.62469905 - -10336.8247. Let x = b - n. Round x to 7 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/(sqrt(8)*2))\/(4*sqrt(9)\/sqrt(3)).\nAnswer: sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151669529?\nAnswer: 11, 17, 811067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (104\/3 + 2)*534. Suppose -4*z = 2*h - 10886, 4*h - 5*z - w = 2231. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15700.9 to the nearest one hundred.\nAnswer: 15700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 + 11*x. Let q be r(-11). Suppose -5*w + 41 + 4 = q. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30045 * -1779.9.\nAnswer: -53477095.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/6 + -1)*3\/(-20)*388\/97?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oboo when four letters picked without replacement from {z: 7, u: 8, b: 1, o: 4}.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-2) + (-39)\/(-26). Suppose 4*m - 17 + 5 = j. Suppose -3*s + m*d = -2442, 6191 - 2126 = 5*s - 4*d. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 263\/5 - -1 - (-60)\/150. Let j = -47 + r. Suppose -4*w + 2*w = 10, 2*h - j = w. What is the highest common factor of 1 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*q - 84*q + 3*j + 25 = 0, -q = 2*j + 2 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -16793, -134323, -453317, -1074503, -2098609?\n\"Answer: -16788*w**3 - 4*w**2 - 2*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t**2. Let y(k) = -2*k**2. What is 4*h(l) - 5*y(l)?\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 46544305\/236 + -197222. Find the common denominator of g and -23\/24.\nAnswer: 1416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -360, -610, -990, -1494, -2116, -2850?\n\"Answer: x**3 - 71*x**2 - 44*x - 246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1316\/3 + 438. What is the smallest value in s, 0.1, 22\/13, 0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -733 + 1?\nAnswer: -732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5\/3, 406, 3, -3, 1\/8 in descending order.\nAnswer: 406, 3, 1\/8, -5\/3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -39*p + 16*p**2 - 17*p**2 + 0 - 3 + 5 - 1 as y*p + o + w*p**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1501 + -9101. What is m rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-1\/7)*o**(-7))\/((o\/((o\/((o*(o\/o**(1\/3))\/o)\/o))\/o)*o*o)\/o)**(-2\/9)*(o*o**(-4)*o)\/o*o**1*(o\/(o\/((o**(-2)\/o)\/o)))**(20\/13) assuming o is positive.\nAnswer: o**(-34217\/2457)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 3.224.\nAnswer: -3.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*m + 12. Suppose m*i = 5*v - 22, 9 = i - 4*i. Suppose v*o + 0*o - 12 = 0. Calculate the lowest common multiple of o and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (588\/16)\/7*70*(-36)\/378?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 210, 151, 96, 45, -2?\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3965068862?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/((-9)\/(-24)*4*(-24)\/18)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of 1\/30*r**4 + 2\/3*r**3 - 2\/75*r**5 + 0 + 0*r - 3*r**2 + 7\/1800*r**6. Let d(g) be the first derivative of y(g). Factor d(m).\nAnswer: (m - 2)*(7*m - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 18\/25, -13\/3, 5, -6 in decreasing order.\nAnswer: 5, 18\/25, -1\/5, -13\/3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -x**5 + 97217*x**4 + 9*x**2 + x + 32 wrt x?\nAnswer: -60*x**2 + 2333208*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 70051, 70052, 70055, 70060, 70067, 70076, 70087?\n\"Answer: b**2 - 2*b + 70052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(180)*5 - (6*(sqrt(320))**2 + sqrt(5) + sqrt(5))).\nAnswer: -11520 + 168*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) 390 (b) 3 (c) -5 (d) 4 (e) -2\/9 (f) 4\/9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 486 and 642006?\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 8 = -c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -38*m - 1 - 28*m + 1 as n + q*m and give q.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 526273?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 + -111.65394053?\nAnswer: -82.65394053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -524886, -1049776, -1574656, -2099520, -2624362, -3149176?\nAnswer: -3673956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 67.9 + -68.199. Let b = g + -3.701. Let a = 2876\/7 - 412. Put -3, b, a in descending order.\nAnswer: a, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*s**2 + 84*s**4 + 105*s**4 - 4*s**3 + 3*s**2 - 191*s**4 - 3 - 6*s + 2*s**2 in the form r*s**4 + k*s**2 + y*s**3 + f*s + d and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 - -0.4439.\nAnswer: 5.4439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 146271, 146272, 146285, 146316, 146371, 146456, 146577?\n\"Answer: i**3 - 6*i + 146276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -874439 - -4?\nAnswer: -874435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 11 * -8.4\nAnswer: -92.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 t, and 1 m when three letters picked without replacement from ktkzamz.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 124 - 123.4. Let g = c - 0.1. Let r(s) = -3*s**2 + s + 1. Let y be r(-1). What is the closest to 0.2 in y, g, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8\/3? (a) -0.8 (b) -2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 440, 1, 4\/5, 1\/4, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -64 - (-35 - (59 - 25)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1143*v + 4295 = -1138*v. What is v rounded to the nearest 10?\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 60*i**2 - 24*i**2 + 10 - 31*i**2 - 9*i. What is the tens digit of b(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4163 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one ninth of a day in seconds?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 107 = 3*l + 528, 3*n = 3*l + 603. Let h = -210 - l. Let i(r) = 19*r + 1. Let a(t) = 10*t + 1. Determine h*a(f) + 3*i(f).\nAnswer: 7*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(24\/(2 - -2))*-1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 + 5*n**2 + n + 1. Let d be m(5). Let r be -2 + (-1)\/(0 - 1). Let p(z) = -2*z**3 - 2*z**2 - 7*z + 6. Let v(x) = -x + 1. What is d*v(b) + r*p(b)?\nAnswer: 2*b**3 + 2*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 1075 = 4*h. Suppose f = -4*f - 5*c + h, -f = -5*c - 13. Does 4 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (36\/225)\/(2\/(-35))*-410. Find the first derivative of 50 + 1135*y**2 - 232 - s*y**2 + 5*y wrt y.\nAnswer: -26*y + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -115 + 419. What is the third derivative of 8*c**3 + g - 304 + 6*c**2 + c**4 wrt c?\nAnswer: 24*c + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(-2\/19)*y)\/y)\/((y*y\/(((y**(-2)*y)\/y*y*y)\/y))\/y))**(-1\/5)\/(((y\/((y*y**2)\/y))\/y*y)**(8\/5)*(y*y**(1\/3))**(1\/16)) assuming y is positive.\nAnswer: y**(1981\/1140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54169 and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bgbttobbtottbbbbbt. What is prob of sequence obgo?\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 8 + 27. Suppose -3 = -2*n - v. Which is bigger: n or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h - 4. Let d(p) = -18*p**2 + 109*p - 4. Let y(b) = -d(b) + 3*s(b). Determine y(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 z when three letters picked without replacement from zurubzzz.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 132242473?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m**2 + 3*m. Let r(b) be the third derivative of b**5\/60 + b**4\/24 - 6*b**2. Let j(s) = k(s) - 3*r(s). Let x(q) = 2*q. Calculate j(x(h)).\nAnswer: -20*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11448 + 11448 - 21*a**3 - 7955*a + 19*a**3 to the form d*a**3 + f + x*a + z*a**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/1283773 or 0?\nAnswer: -4\/1283773","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-2 + 0\/(-2)). Let k be (-11)\/(-6) - (-2)\/(-1). Is k less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2461*u**5 + 3*u**4 + 4*u**3 - 11*u**2 - 267*u + 161 wrt u.\nAnswer: 147660*u**2 + 72*u + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -9. Let r = i + 5. Let j = 1 + r. Is -1 equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 407 + -411. Put -15, -3, h, 3\/5 in decreasing order.\nAnswer: 3\/5, -3, h, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 145*r**3 - 5*r**2 + 13*r + 11. Let o(j) = -73*j**3 + 3*j**2 - 7*j - 6. Give -3*c(s) - 5*o(s).\nAnswer: -70*s**3 - 4*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-26)\/(-22) - ((-272)\/(-44) + -6). Let a be 142\/4 + -1 + y\/(-2). Suppose -s + a = -4. What are the prime factors of s?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -5*b**3 + 2*b**2 + 221*b. Let l(z) = 11*z**3 - 5*z**2 - 441*z - 1. What is 5*g(y) + 2*l(y)?\nAnswer: -3*y**3 + 223*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/10 and 31\/193?\nAnswer: 1930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 265916?\nAnswer: 2, 7, 9497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**9*s\/s**(-2\/11))\/((s**(-3\/4)*s)\/s)**50 assuming s is positive.\nAnswer: s**(1049\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 31*p + 27*p - 636 = 0, 2*p = -4*r + 848. What are the prime factors of r?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -437\/2 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(0 + ((-8)\/(-212))\/(-2)). Suppose -g = j - 2*j. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1297 - 158.4297. Let d = -159 - y. Let i = 0.2 + -0.4. Do d and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 12, c: 6}. What is prob of picking 4 y?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 986644 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (126\/24)\/(-7)*((-1595)\/(-40))\/(-11) and 43\/900.\nAnswer: 7200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-5)*5\/2)\/(4200\/(-5600))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -7 (b) 13 (c) 0.2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.045 (b) -4 (c) 0.4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*-2)\/(92\/(-230)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 19\/15 + 8\/20 + 9\/9. Factor -p*n - 1\/3*n**4 + 10\/3*n**2 - 1\/3*n**3 + 0.\nAnswer: -n*(n - 2)*(n - 1)*(n + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/12 - ((-714)\/56 + (6 - -7)). Let b = 11 - 9. What is the closest to -2\/29 in 12, a, 4, b?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + (-5)\/(-10)*2. Let f be 6 + q + 0 - 5. What is the smallest common multiple of 12 and f\/1 - -3 - -4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, x: 6}. What is prob of sequence axax?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3.193 in 0.7, -1\/6, 5, 0.3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19350562 to the nearest integer?\nAnswer: 4399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*o - 11 = -101 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**4 - y**4 + 0*y**4 + (y**3 + 4*y - 4*y)*(y + 4*y - 3*y) - 3*y**3 + 3*y**3 + 2*y**4 - 2*y**4 - y**4 + y**4 + 3*y - 3*y - 6*y**4.\nAnswer: -5*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -7 + 1288\/23 + -38?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h + 1. Let d be l(-5). Let c = d - -17. Is 2 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -42*x. Let u(y) = -2*y. What is l(u(b))?\nAnswer: 84*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 304 and 149416?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3068256 - 0.3.\nAnswer: 3068255.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.04 and -173.\nAnswer: -172.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1209 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 836 and 114.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, -3, 0.52?\nAnswer: 0.52","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s. Let h(n) = 752483*n. Determine h(u(z)).\nAnswer: 752483*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 3.1. Let t be ((228\/40)\/(108\/90))\/(2\/(-24)). Which is bigger: t or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.29 + 0.29058. What is o rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.04, -1, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 757, 1761, 2765, 3769, 4773?\nAnswer: 5777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-16))\/(d\/d**(-32)))\/(d**(2\/19)*d)**(1\/5) assuming d is positive.\nAnswer: d**(-1541\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2*o + 6 = 0, 2*i + 0*o - 12 = 4*o. Suppose -3*d - 12 = -0*d. Let y be (2\/d)\/(-1 + 0). Which is greater: i or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 - 13*d + 25. Let v be r(10). Is v\/5 - 13*-50 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/((i**3\/i)\/i)*i\/(i*i**1)*(i\/i**(2\/15))\/i*i\/((i\/(i*i\/i**(-2\/3))*i)\/i) assuming i is positive.\nAnswer: i**(23\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -3 + -2*sqrt(1539))**2*-1 + (sqrt(1900) + 1 + (1 + sqrt(19) - sqrt(19))*6 - sqrt(190)\/(-1*sqrt(40))).\nAnswer: -6150 + 93*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**8*g)\/(g\/(g\/(g**(-6\/11)\/g))))\/(g*g\/(g*g**(-1)*g)*(g\/g**(-6))\/g) assuming g is positive.\nAnswer: g**(50\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28 + 10. Let r = -17.931 - n. What is r rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*m - 44*m = 299 - 329 + 795 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of -5\/6*t**3 + 5\/12*t**4 - 1\/20*t**5 - 3\/2*t**2 - 5*t + 0. Give o(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31\/39667 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2 + 170\/70 + (-14)\/63 and 31\/45?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168039 (base 13) in base 7?\nAnswer: 4522323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 128448 and 864.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 2506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 17*a. Let h(s) = 10*s**2. Let g(z) = -3*z**2 - 1812*z + 1812*z. Let t(f) = 7*g(f) + 2*h(f). What is t(k(m))?\nAnswer: -289*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*v + 7*v. Solve 5*a + 0*a = 5*s, -s + 2*a = v for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12 and 89?\nAnswer: -1068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 3) to base 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 628510.\nAnswer: 2, 5, 62851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 23 + 337 = 6*x - 14*s - 31*s, -3*x - 16 = 2*s for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of 0*i**2 - 19\/5*i**5 - 11*i + 0*i**3 + 0*i**4 + 6. Differentiate g(y) with respect to y.\nAnswer: -76*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*h**2 - h**2 + h**2 + (-2*h - 1 + 1)*(4 + 2*h - 4).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.012190037 to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*w + 43 - 94 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of -8*c**4 + 944*c**3\/3 - 233*c**2 + 58*c + 107. Factor t(m).\nAnswer: -2*(m - 29)*(4*m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirty-three fifths of a millennium?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1416*d**5 + 1309*d**2.\nAnswer: 84960*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.537 - -0.063. Let w = d + 0.4. Which is the third smallest value? (a) 1 (b) w (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235497590 to the power of 1\/2, to the nearest integer?\nAnswer: 15346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -74.3 and 0.5.\nAnswer: -37.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(208) + (sqrt(208)*-1 - sqrt(208)) + -4 - (4 + (2*sqrt(208) - sqrt(208))))*6)**2 + -5 + -2.\nAnswer: 4608*sqrt(13) + 32251","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 497 = -5*j - 0*v, -8 = -2*v. Let l be (-2 + 3)*5 + 0. Suppose -j - 3 = -l*q. Calculate the lowest common multiple of 12 and q.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a**3 - 3*a**2 - a - 2. Let c(w) = 2*w**3 - w - 1. Let i(z) = z**2 - 4*z - 6. Let h be i(5). Let r be c(h). Is s(r) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 20 = -5*a - 0, 5*a = -20 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 108.4947 microseconds?\nAnswer: 0.1084947","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 68 + -572. Let h = 507 + a. Solve h*l = -j, 0*l - 1 = l for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 86\/5 + -268\/15. Put 0, 1, -5, t in descending order.\nAnswer: 1, 0, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1102201001 (base 3) to base 2.\nAnswer: -110111000111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 5 = 5*m - j, 5*j = 5*m - 5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 0)*(48 - 2*k + 4*k - 108).\nAnswer: -12*k + 360","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -82 < -2356\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 61*f**2 - 43*f - 336. What are the prime factors of d(-8)?\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 667*b = 771*b - 53022632. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.1, 7, 4, -0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 8*z + z**4 + 2*z**2 - 9*z**3 - 2*z**2 - 2*z**2 + 11*z**3 in the form g*z + p*z**3 + b*z**4 + q*z**2 + k and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 54 = -6*s + 4*s, -3*s + 81 = -3*h. What is the first derivative of s - 12 - 6*o**2 + 4*o**2 + 10*o**2 wrt o?\nAnswer: 16*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of -1\/2*w**4 - 2*w**2 + 5\/3*w**3 + 1 + 6*w. Let j(c) be the first derivative of s(c). Factor j(r).\nAnswer: -2*(r - 1)*(3*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62319*h + 6572 = -62213*h for h.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -11, -19, -27, -35, -43, -51?\n\"Answer: -8*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*i + 6000 - 2508. Suppose -292*k + i*k = -2959. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12461 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -14*(2 + 1)*(-998)\/1497\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 23*o + 239. Give z(-10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 6, w: 7}. What is prob of sequence wwm?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from jejeee?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*c**4 - c**2 + 11*c - 5*c - 3*c**3 - 5*c - c**4 in the form b*c + g + p*c**3 + v*c**2 + n*c**4 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363) + 4 + 0 + sqrt(363))**2.\nAnswer: 176*sqrt(3) + 1468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 27625*g + 16016*g - 4122*g + 6481*g. Let x be p(3). Round x to the nearest ten thousand.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -282200.\nAnswer: 282200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 3) in base 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 4:58 AM?\nAnswer: 3:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 1821 = 6*m + 2245, -2*m - g = 136 for m.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 7420394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14155 + 14159. Sort -4, i, 1, 5, 1\/4 in ascending order.\nAnswer: -4, 1\/4, 1, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, z: 3, g: 5}. Give prob of picking 1 g and 2 z.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 80.9565 millennia?\nAnswer: 8095.65","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 95945000 to the nearest one million.\nAnswer: 96000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -68?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fnnn. What is prob of picking 1 f and 1 n?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/(-20) - (-188)\/20. Is 4 a factor of (-3 - -82) + (-20)\/h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -3*p + 17, -5*l + 2*p = -2*p + 21 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 13 = -27. Let g be 383\/j + (-6)\/48. Calculate the common denominator of 55\/6 and 252\/g - 4\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(98)*-2 + 2*sqrt(98) + 4 + (sqrt(98) - 3*sqrt(98))*6 + (sqrt(98) - (sqrt(98) + 0)) + 1 + 2)**2.\nAnswer: -1176*sqrt(2) + 14161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 115*w - 920. Let k be h(8). Suppose -64 = -5*m + 36. Solve 5*s - s + m = k for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22\/93, 3, -5\/2, 783, -4, 1\/3 in ascending order.\nAnswer: -4, -5\/2, -22\/93, 1\/3, 3, 783","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + (-2 + 3 + -2*sqrt(117) - (sqrt(117) + (sqrt(117) + (-2*sqrt(117) - sqrt(117)))*-3)*5))**2 + 1.\nAnswer: -444*sqrt(13) + 160178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 190*i**2 + 12*i + 44. Let b be q(-19). Suppose 0 = -7*o + 4*o - 3*l - b, 0 = 2*o - l + 45598. Round o to the nearest 1000.\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30 - 37.7. Let l = 0 - j. What is l rounded to zero decimal places?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 672a77a + -3?\nAnswer: 672a777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0.4, 3, -3\/5, -0.1832?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 11 = -z, 814*q - 809*q + 50 = 10*z for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7054*o + 35511 + 9996 = -553*o for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l - 14427 + 14448 - l.\nAnswer: 2*l + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -295, -598, -901, -1204, -1507?\n\"Answer: -303*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -1. Suppose 153*a + 364 + 248 = 0. Sort -1, -5, z, a.\nAnswer: -5, a, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 16016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1427\/5 + -285. What is the fourth smallest value in 0, 0.2, s, -131?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((-6*sqrt(147)*1 - (sqrt(147) + 4 + -1 + sqrt(147))) + 5) + -3)**2.\nAnswer: -7280*sqrt(3) + 235369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 6*o = 4. Let s(w) be the second derivative of -1\/6*w**4 + 0*w**o - w + 0*w**3 + 0. Let v(m) = -4*m**2. Determine s(v(j)).\nAnswer: -32*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 5*c = 35, 5*x - 4*x - 4*c + 13 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1093769, 1093791, 1093825, 1093871, 1093929?\n\"Answer: 6*y**2 + 4*y + 1093759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 5:39 AM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1770 smaller than 2\/493?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of -468*l**3 - 1099*l + 1325. Find the first derivative of b(o) wrt o.\nAnswer: -2808*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 7*j = 5494, -4516 = -2*o + 4*j + 6502. Does 74 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.7? (a) 3 (b) 2\/21 (c) -27 (d) -13\/99 (e) -0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -966?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 2*t = 51 - 17, -4 = 2*x + 4*t. Let z = x + 15. What is the remainder when 25 is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, -3, 3, -4 in descending order.\nAnswer: 3, -3, -4, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, 32, 135, 342, 689, 1212, 1947?\nAnswer: 2930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 241 + -3140134?\nAnswer: -3134343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/49, -2, 9, 6\/5 in increasing order.\nAnswer: -2, 2\/49, 6\/5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*a + 28 + 20 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/54)\/(77190\/(-5976))\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 + -19. Suppose 12 - 54 = -i*c. Calculate the greatest common factor of c and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2758.9461 to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 241 - 97. Suppose 0*b - 16*b = -k. Let c(t) = 2*t - 69 + t**3 + 134 - 71 - b*t**2. Determine c(9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30044011 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of -b**6\/120 - 3*b**5\/10 + 7*b**3\/6 + 2*b**2 + 15*b. Let f be s(-18). Solve 0 = -f*r + 8*r - 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 4*f + 77 = 0, -4*z - 4*f = -2*z + 46. Let b = z + 91. Is 10 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -144.37 + 137.3608. Let b = -0.1392 - i. Round b to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 550788221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 16*i - 55 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + -10. Let g = 13265 - 13268. What is the nearest to g in h, -2\/9, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 999\/11 + -91. What is the fourth biggest value in -4, g, -0.5, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 4*t - 4, -x - 272*t = -273*t + 5. Which is the nearest to -1? (a) -2\/5 (b) 5\/4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 t when two letters picked without replacement from zkkzkztkkzzkzk.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23848?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -9. Let t(n) = 14*n**2 - 5*n - 13*n**s + 3*n + 0*n. What are the prime factors of t(6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z + 1. Let d(y) = 75*y - 4. Let s(c) = -3*b(c) - d(c). List the prime factors of s(-1).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 60*x - 54*x - 828. What is the highest common divisor of 345 and x?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.2 (b) -4\/3 (c) 8.3 (d) -0.3 (e) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 37, 4, 5 in decreasing order.\nAnswer: 37, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 18*x**3 + 16*x**4 + 9 - 59*x**3 + 4 + 4*x**4 + 8*x**2. Let s(a) = -10*a**4 + 20*a**3 - 4*a**2 - 6. Let f(t) = -13*s(t) - 6*u(t). Factor f(g).\nAnswer: 2*g**2*(g - 1)*(5*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*i + 8*i + 5*r, i - 3*r = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -740, -1895, -3844, -6587, -10124, -14455, -19580?\nAnswer: -25499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((sqrt(153) + sqrt(153) + sqrt(153) + sqrt(153)*2 + sqrt(153) + sqrt(153))\/sqrt(9))**2 + sqrt(170)\/(sqrt(20)\/sqrt(2)) + -1)*-4.\nAnswer: -3328 - 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 2 + -1 - 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 19*z**2 + z. Let c be h(1). Let f = c - -8. Is (120\/f)\/(3\/21) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23414160 divided by 1470\nAnswer: 15928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4427\/15 + 295. Which is the second smallest value? (a) -0.3 (b) 2 (c) 2\/15 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 651065701*p. Let w(s) = -s. Give w(j(m)).\nAnswer: -651065701*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 768 (base 15) to base 13\nAnswer: 9b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-570)\/(-110) - (12 - 7).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -50 + 52. Solve -6*s + t*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2 - 1 - 2. Let s(a) = a + 3. Suppose z + 5 = 2. Let q(x) = z*s(x) - 8*t(x). Give q(5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 13*r**2 - 16*r - 17. Let h be o(-14). Let t = -8 + h. Solve g - 1 = 3*v - 2, -3*g = -t*v - 3 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 8:36 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9874789706 + 9874789693.4992105034. Let h = r + 0.0007876466. Let p = h - -12.5. Round p to seven dps.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 2)*(-1 + b + 1)*(-3*b + 2*b + 3*b)*(0*b - 7*b + 2*b).\nAnswer: -30*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 3624*r - 3627*r - 6, 4*d = -2*r - 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 - 21*d + 17. Let i be (-3 + 21)\/(12\/(-8)). Let g be h(i). Suppose 2*p + 2*u - 712 = 0, -p + g + 243 = -3*u. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 36741.74ml?\nAnswer: 36.74174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-20))\/((-11)\/55). Suppose s = x + 4*x + 16, 3*s - 6 = x. Sort x, m, 6 in increasing order.\nAnswer: x, m, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3087 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 5 - 3 - 2*c**2 + 4*c**2 - 2*c**2 - 8*c**2 + 0*c**2 + 5*c**2 - 3*c**2 + (-c**2 - c**2 + 4*c**2)*(2 + 2 + 0) in the form d + i*c**2 + t*c and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = y - 417, 3*v = 5*v + 4. What are the prime factors of y?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -479842*i**2*j**3*m**2 - 117*i**2*j*m**3 - 149*i*j**2*m**2 - 18*j**3*m**3 - 424*j**3*m**2 wrt i.\nAnswer: -959684*j**3*m**2 - 234*j*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**(-1\/15)*t)\/t)\/t*t*t*t**(1\/4))**(-2\/9) assuming t is positive.\nAnswer: t**(-131\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 5*a = -n + 10, -5*n + 73 = 2*a. Suppose -21*f - 341 + 26 = 0. Let m(k) = -k**2 - 19*k - 33. What is the remainder when m(f) is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11073781711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 431756 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -0*b - 10, 5*b = -4*v - 18. Let g(l) = -6*l + 7. Let a(y) = -y + 1. Let s(z) = v*g(z) + 14*a(z). Let u(f) = f. Determine s(u(j)).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d = -d - 30. Solve 6 = d*a + 21 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-18)\/12) + (50\/165)\/1?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sawau. What is prob of picking 1 s, 1 u, and 2 a?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/16 + 1330\/2800.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 509*n = -1603*n + 18784 + 20168 + 70872 for n.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 10 = -10. Let l be m\/6*75\/10. Which is the closest to -1? (a) -4\/5 (b) -3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 AM and 12:28 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + 1366913?\nAnswer: 1366909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -178, -146, -126, -124, -146, -198?\nAnswer: -286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 94 = 1834. List the prime factors of u.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s + 2668 = 11*s. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35.1 + -35.4. Sort -2\/9, z, 1\/4, 2\/13.\nAnswer: z, -2\/9, 2\/13, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 30737060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by -1538994.\nAnswer: 5\/769497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 3*o = 82, o + 33 = b + b. Let g(x) = -x - 3. Let h be g(-5). Solve -5*i + h*r = -16, i + 6 = 3*r + b for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (918 + -908)*(-6 - 1002\/(-60)).\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 2*t - 52 = 0, 3*u = 5*u - 4*t - 62. Calculate the remainder when ((-21)\/14)\/((-3)\/7 + 930\/2268) is divided by u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -r. Solve 5*c - 12 - 8 = r for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 13.6639234357 and 0.9.\nAnswer: 14.5639234357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 1\/5*n + 1\/5*n**3 - 1\/5*n**2 + 1\/5*n**4 = 0. Calculate n.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 175068+-0.3\nAnswer: 175067.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ak when two letters picked without replacement from {i: 5, k: 1, r: 3, a: 1, m: 3}.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-28859)\/(-10) - 9\/9. Let f = -2888 + r. Calculate the common denominator of f and -59\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1134 and 130032.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 10873 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3112391 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 41987355 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -7*a - 12. Let k(t) = 4*t + 6. Let l(d) = 5*k(d) + 3*x(d). Let y be l(-9). What is j in 1 + 5\/4*j**2 - 4*j + 7\/4*j**y = 0?\nAnswer: -2, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*x + 2*x**2 - x**2 - 5*x**3 + x**3 - 2*x**2 in the form g*x**3 + n*x**2 + q*x + k and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 858977 to the power of 1\/3, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3. Let l(c) = -10*c**3 + c**2 + 2*c. Let p(t) = -t**3 + t. Let x(r) = -l(r) + 2*p(r). Calculate x(s) + 5*z(s).\nAnswer: 3*s**3 - s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.456 rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (5 - 12 - -8) + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1112300 - 131113?\nAnswer: -1310013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -688198*x. Let g(q) = -16*q**2. What is s(g(z))?\nAnswer: 11011168*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1223 - -1225. Solve -4*c + y + 11 + 9 = 0, c - 12 = z*y for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 3 - (-3 - -8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-6)*-1)\/((-9)\/(-135))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3153 in -2\/3, -16\/9, -64, -1\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.16 - 0.19. Let q = 0.13 + g. Let l = -1 + 0.9. Which is the nearest to l? (a) q (b) 2\/15 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - x + 3)*(-13*x + 512 - 1094 + 520) as c + b*x + t*x**2 and give b.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3 - 3 = 0. Suppose -d + 5 = -o*d. Which is bigger: d or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27.56 * 1.3941\nAnswer: -38.421396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*t - 3*t + t**2 + 2*t + 0*t to h + m*t**2 + j*t and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + -7. Let g = -11 - j. Solve g = 2*n - 3 + 13 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 9 = 5*c, 102*l = -3*c + 98*l - 12. Let w(a) be the first derivative of -1\/12*a**4 + 1\/30*a**5 - 5 + c*a**3 + 0*a + 0*a**2. Factor w(p).\nAnswer: p**3*(p - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - 2*m**2 + 2*m + 2. Let x be n(0). Suppose a + 3*u + 5 = -u, -x = a + u. What is the lowest common multiple of (-184)\/(-32) + a\/(-4) and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -4*v - 5*v + 3*v. Let b(l) = -l - 10*l + 3*l**2 + 11*l. Give b(a(q)).\nAnswer: 108*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 4*u = 10 + 13, u = -3*h + 11 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 136730051*s**3 - 46326561*s**2 + 1?\nAnswer: 820380306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/((-312)\/12)*15\/45?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000041929903 to 6 decimal places.\nAnswer: 0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -26587 and -0.0755219.\nAnswer: -26587.0755219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5765*y**2 + 130990*y + 285040 = 0 for y.\nAnswer: -2, 28504\/1153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**3\/4 - 4859*g**2\/2 + 3266173*g - 1031649554 = 0 for g.\nAnswer: -10946, 614","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -46*h**3*v**2*w - 2*h**3*v + h**3 + 6*h**2*v**2*w - 4*h**2*w + 93*w wrt v.\nAnswer: -92*h**3*w + 12*h**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1242641, 1242643, 1242645, 1242647, 1242649, 1242651?\n\"Answer: 2*v + 1242639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*f - 20 = -20*f. Suppose 0 = f*c - 85 - 480. What are the prime factors of c?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 6 + 10 = 0. Let y(c) = 4*c - 1. Let l be y(h). Solve 0 = j + z, -4*z - 27 = -l*j - 2*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*r - 90 = -57*r. Solve -2*k + 5 = -k, -r*c + 4*k = 26 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 5*z - 80, -z + 0*z + 19 = 2*w. Let m = 42 + z. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 3:59 AM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 times -20.4?\nAnswer: -1.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1128719857.\nAnswer: 43, 26249299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 4*t - 4*i + 860, 5*i = t + 196. Let d be 133 + 43\/(-8) + (-81)\/t. Which is smaller: 129 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 22\/(-11) - -1*2. Let s be (21\/4)\/((-110)\/(-16) - 2). Let i = s - -28\/143. Which is bigger: i or x?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002098282 to six dps.\nAnswer: -0.002098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z = 586 - 631. What is the second derivative of 34*t + 4*t + 2*t + 2*t**2 + z*t**3 wrt t?\nAnswer: 30*t + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13544029\/36 or -376222?\nAnswer: -13544029\/36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1513153 * 51\nAnswer: -77170803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/2 + (-3)\/(-1). Suppose 5*c + 4*h - 10 = 18, -c + b*h = 6. Find the third derivative of 4*j**c + 2*j**2 + j**4 - 4*j**4 wrt j.\nAnswer: 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5068267 (base 9) to base 11\nAnswer: -1586583","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of -2*n**2 + 1\/210*n**7 + 0*n + 0 + 0*n**4 + 1\/30*n**5 + 0*n**3 + 0*n**6. What is the third derivative of p(x) wrt x?\nAnswer: 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**4)**(-20)\/(v\/(v**(-7)\/v)*v*v*v*v*v**6*v*v))**21 assuming v is positive.\nAnswer: v**(-2541)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*v**2 - 9 - 15*v**2 + 23*v**2 to the form m*v**2 + d + z*v and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of -2*w + 0*w**6 - 1\/3*w**3 + 0 + 0*w**4 + 1\/6*w**7 + 0*w**2 + 0*w**5. What is the second derivative of q(d) wrt d?\nAnswer: 140*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 10*w - 1. Let z(f) = 2*f + 5*f**2 - f + 2 + 4. Calculate the remainder when z(3) is divided by q(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 0)*(17*d + 7*d + 1 - 17*d).\nAnswer: -21*d - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.94388 to 2 dps.\nAnswer: -5.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17\/42 + 2\/21. Let a(n) = -n**2 - 25*n - 48. Let x be a(-23). What is the nearest to w in x, 0.1, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 20 = 52. Suppose -2*m = 3*y - q, 0*y = 3*m - y - 76. Suppose -3*b - 2*b = 3*g - 40, -3*g = -3*b + m. Solve -p - b = -3*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 4:27 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15563, 31127, 46691?\nAnswer: 62255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*o - 21*o + 10*o + 1 + 7*o.\nAnswer: 3*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*h + 5*h - h)*(5 - 1 + 2) + (2*h - h - 3*h)*(0 + 1 + 1) + 1 - 1 - h in the form b + j*h and give j.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29948439?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1965230097 to the nearest integer?\nAnswer: 44331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -210.2 - -210. What is the second biggest value in h, 5, -63?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, z: 1, a: 1, t: 1, w: 1}. What is prob of picking 1 a, 1 t, and 1 z?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -70 - -118. Suppose -5*b - 3*q = -60, 4*b - 26 - 30 = -4*q. Suppose -4*x = -s - 237, 2*s - b = -s. What is the highest common divisor of m and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2214b2 - 1b?\nAnswer: -221511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 2*c - 19 - 6, 2*c - 4 = -2*m. What is the tens digit of m + 13 + -1 + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 339776 is divided by 443.\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.4 - -0.8. Let p = f + -0.7. Let j be 3 - (0 - 10*3\/(-6)). What is the nearest to -1 in p, -0.5, j?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/1573 and -12\/10439?\nAnswer: 114829","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 y when two letters picked without replacement from {y: 7, m: 2, j: 6}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**17)**30)**(-38) assuming j is positive.\nAnswer: j**(-19380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84170024 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 151*i - i**3 - 50*i - 56*i + 7*i**2 - 54*i - 23. Is n(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 53*j**2 - 15726*j + 11243. Determine p(296).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u**2 - 10*u + 12. Let o be f(4). Suppose -16 = -o*w, 14*a - 18*a - w = -860. Which is greater: 215 or a?\nAnswer: 215","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-8))\/(-1)*-1*-4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 83188.88 millennia in decades?\nAnswer: 8318888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -3*a + 3*b, -19 = -18*a + 20*a + 5*b. Find the first derivative of 288 - 602 + 16*f**4 + 272 - f**a wrt f.\nAnswer: 64*f**3 - 3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 304439115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 16 = -16. Let g(t) = 2*t - 11. Let d(c) = 3*c - 16. Let y(w) = u*g(w) + 5*d(w). Determine y(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s - 22 = 38. Suppose 349 = w - s*k - 79, -4*w + 1775 = k. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t + 3. Let j(l) = -6783. What is j(c) - u(c)?\nAnswer: -c - 6786","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 128 and 39296?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = s - 70764, -34*s - 141508 = -2*n - 31*s. Calculate the greatest common divisor of n and 116.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - 3\/(((-81)\/144)\/3)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110435 (base 6) in base 12?\nAnswer: 541b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6227066 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 1658 divide 610359540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27 + -353\/13. Let t = 0.118 - -59.382. Let f = t - 60. Put f, -0.11, a in increasing order.\nAnswer: f, a, -0.11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.0137 in 0.4, -1, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i**3 - 148 + 148.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 4 = -19. Let m be ((-42)\/35)\/(2*1). Let z = -2 + 4. Which is the second smallest value? (a) z (b) r (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63167 rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*q + 3177 + 3017 - 3094 = -4089 for q.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 11859, 11848, 11827, 11790, 11731, 11644, 11523?\n\"Answer: -f**3 + f**2 - 7*f + 11866","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.4 - -0.6. Let o = c - 0.1. What is the nearest to -1 in 2\/9, 3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4122380 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -546 + 546 - 2*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - 10. Suppose n*s + 30 = 10*s. What is the units digit of (28\/s)\/(6\/9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7 + (9 - 4186\/168) and -59\/441.\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q + 5*p + 6, 2*q - 224 = 5*p - 203 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q**2. Let y(f) = -5 + 3 + 2 - 7*f. Give a(y(m)).\nAnswer: 98*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3788035 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (-2 + 1)) + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2782*q - 2746*q + 5524*q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -312, -287, -230, -129, 28, 253?\n\"Answer: 2*i**3 + 4*i**2 - i - 317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30771098*p**2 + 30771098*p**2 - 22*p**3.\nAnswer: -22*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 68 and 2.\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 73.9914 + -73.5914. Let s = -1\/163 + -315\/1793. What is the nearest to -3\/5 in -0.5, s, m, -0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 65635 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*s**2 + 18*s**2 + 4*s**2.\nAnswer: -17*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43206 = 16*h + 3*h. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1853)\/(2398\/(-22))*(-20)\/5.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 7*u - 1. Let v(h) = 6*h - 2. Let l(o) = 4*v(o) - 3*x(o). Let d = -1 + -9. Let g(m) = -2*m + 3. Give d*g(a) - 6*l(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2387312?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 42. What is the common denominator of ((-4)\/80*202)\/1 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 26112809 + 2?\nAnswer: 2611280b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 + 56*y + 159. What is i(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*c - 0. Suppose 0 = -c*o - 3*o. Solve a - 4 = -o*a, -2*t = -4*a + 14 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21386, 21596, 21808, 22022, 22238, 22456, 22676?\nAnswer: 22898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5856, -3016, 4658, 19572, 44132, 80744?\n\"Answer: 401*m**3 + 11*m**2 - 6268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from akwknddaakzwwkakkkdw. Give prob of sequence nkkk.\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 30\/(-4) - (-3)\/(-6). Let y = g - -2. Let r be (2 + 52\/y)*(-48)\/20. Is 16 <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*o + 308 + 36 = -268. Calculate the highest common divisor of o and 31041.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98672 - 3*y**2 + 4*y**2 - 98652.\nAnswer: y**2 + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 441*g + 3977. Calculate v(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (1710 - 1970)*(-2)\/8\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 804 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*(2 - 2 - 3*c**2) + 21*c**2 - 25*c**2 + 2 + 1.\nAnswer: -10*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -0.25, 0.045, -26, -1\/13?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 499*c**2 - 1514*c**2 + 500*c**2 + 518*c**2.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - -32628022.\nAnswer: 32628021.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 10*w - 5. Let m be s(2). What is the highest common factor of 45 and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and (55\/(-15))\/((-2)\/6).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10100021 - 20200?\nAnswer: 10002121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1641\/11 + -149. Let l(z) = z**3 - 6*z**2 - 2*z - 22. Let k be l(7). Which is bigger: k or i?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 600?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -18 - 16 - 798*h - h**2 + 797*h + 34. Let a(t) = -t**3 + 5*t**2 - 3*t - 3. Let j be a(3). Let f(b) = -b**2 + 4*b + 8. Let x be f(j). Determine w(x).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 81.7 and 5.835?\nAnswer: 75.865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4395173 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(10\/50 + (-39)\/45). Suppose 0 = c*a + 5*a. Solve -2*t - 3*k - 28 + 5 = 0, a = 3*t + 5*k + 37 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*r + 551*r = -524*r - 104*r - 2184 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 5 = -5*y. Suppose r + 4 = y*r. What is the remainder when 2 is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-210)\/21*136\/34.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(1\/4)*b**(2\/15) assuming b is positive.\nAnswer: b**(23\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of -q**5\/60 - 7*q**4\/24 - q**3 - 2*q**2. Let n be -12 - ((-240)\/50 + 2\/(-10)). Give m(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 2:42 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24.7 + 24.7. Put -4\/7, -4, v, 7 in increasing order.\nAnswer: -4, -4\/7, v, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(1\/4))**(-10\/7)*(d**(1\/2)*d)**(-21))**40)**27 assuming d is positive.\nAnswer: d**(-240840\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 117, 433, 937, 1617, 2461, 3457, 4593?\nAnswer: 5857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 17 = -5*v + 4*r, 5*v = 4*r - 11. Suppose -g = 5*g. Suppose -3*b = -o + 11, 4*o - b + g*b - 11 = 0. Calculate the remainder when o is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-2)\/(-5))*(-142912)\/(-12320)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 0 - 4)*(208*h - 287*h + 179*h) to d*h + c and give d.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -1690*z**2 + 5954*z**2 - 1297*z**2 in the form r*z**2 + i + c*z and give r.\nAnswer: 2967","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 470 and 8270?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5711, -5720, -5743, -5786, -5855, -5956?\nAnswer: -6095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 63\/10, -1.52, 0.3?\nAnswer: -1.52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 y when two letters picked without replacement from {d: 8, y: 1, n: 6}.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 3:24 AM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 67, -1, 1, -166 in descending order.\nAnswer: 67, 1, -1, -166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 19*j**2 - 35*j + 3. Calculate i(17).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, -5, 0 in decreasing order.\nAnswer: 47, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.4 + 4.4. Let a = c - 3.999922. Round a to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2052063?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/2 - 825*s**2\/2 + 226875*s\/2 - 20796875\/2.\nAnswer: (s - 275)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88.91131 days to hours.\nAnswer: 2133.87144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-182)\/(-78))\/(14\/36)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c + 2. Let l be -2*(-3)\/3 - 8. Let b(p) be the third derivative of p**4\/24 - p**3\/3 - 36*p**2. Let o(s) = l*y(s) - 7*b(s). Give o(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.72 - 0.24. Round m to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 7:29 AM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b. Let f(a) be the third derivative of a**7\/420 - 7*a**4\/24 + 11*a**2. Let i(d) be the second derivative of f(d). What is v(i(m))?\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3\/5 - 96*d\/5 + 256\/5.\nAnswer: 2*(d - 4)**2*(d + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -3 + 6*r**2 - 14*r**2 + 3. Let q(m) = 2. Let l(j) = -j + 3. Let v(x) = -2*l(x) + 3*q(x). Calculate y(v(p)).\nAnswer: -32*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a. Determine s(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 3*p = -14, -5*s + 161 = -p + 173 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1041\/10 + -205\/2. Suppose 0 = -2*n - 2*n - 3*d + 2, 5*n + 3*d - 4 = 0. Suppose 2*h + n*h = 8. Is h not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**4 - 20064*p**3 - 37740384*p**2 - 31550961024*p - 9891226281024.\nAnswer: -4*(p + 1254)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27086?\nAnswer: 2, 29, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**3 + 494045*i**2 - 988095*i**2 + 494050*i**2.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35963?\nAnswer: 35963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-575)\/3335*(-2)\/10)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 18*a = 15 - 127, 4*a = 17*l - 15*l for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18\/21 + 108\/70. Let v = -5 - -7. Is v at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1500, 1508, 1528, 1566, 1628, 1720, 1848?\nAnswer: 2018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -829 + 826 - (-2 + -5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 2*r + 8, -6*d + 3*r = -d - 12. Let y(w) = w**2 - 5*w + 1. Let q be y(6). What is the closest to d in q, 0.4, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46\/(-483)*(-6)\/(-14)*(-28)\/12?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -6547*b - 294615. What is z(-45)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -3*p - 18, -5*t = 2*p - 0*p - 58. Suppose -15 = -2*s + 1. Calculate the remainder when 136\/t + (-8)\/(-20) is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.023, -2\/7, -8, -43\/287, 2 in decreasing order.\nAnswer: 2, 0.023, -43\/287, -2\/7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 PM and 7:58 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 2:21 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -27084300 rounded to the nearest one hundred thousand?\nAnswer: -27100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 - -17. Let z be 5 + v + 1\/1. Suppose c = -3*x + 41, -3*c + 149 = z*x + 19. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 2:45 PM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-1)*f*f)\/f**(-7)*f**3*f\/(f\/f**(-1\/2)) assuming f is positive.\nAnswer: f**(23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -523*p = 5617 + 3946 - 2241 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (b - 24*b + 5*b)*(437*b**3 + 1142*b**3 + 139*b**3) - b**4 + 0*b + 0*b to r + y*b**3 + p*b**2 + i*b**4 + m*b and give i.\nAnswer: -30925","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**3\/8 - 561*k**2\/8 - 47187*k\/4 = 0.\nAnswer: -107, 0, 294","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70\/12 + -1 + -5.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 0. Suppose -2*o - 4*m = 20, 5*o + 20 = m - h*m. Solve -a + 5*j - 11 = -o*a, 3*j + 3 = 3*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -783, -779, -773, -765, -755, -743?\nAnswer: -729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from syzrdzrssrrsysry. What is prob of picking 3 s and 1 z?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -5*d**3\/6 + d**2 - 6*d + 6. Let s(c) be the first derivative of u(c). Determine s(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 230 a factor of 80499310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by ((-70)\/15 + 5)\/(4\/240)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121326228 is divided by 1002696.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -6*z - 41. Determine l(-1).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/((-3 - -4)\/25). Solve -2*f + m = -7*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - w**2 - 3 + (1 + 24 - 8)*(2*w**2 + 4*w - 4*w).\nAnswer: 33*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a minute in seconds?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c**2 - 2*c. Give j(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 59 + -64. Let n(q) = 2*q**2 - 2*q - 17. Let g be n(m). Suppose -g + 16 = -3*o. Sort o, -4, -2.\nAnswer: -4, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((8\/(-12))\/(-2))\/(-1)*((-190800)\/20)\/(-53)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = g + 5*h, -2*g + h + 11 = -g. Suppose 2 - g = -2*i. Is 626\/i + 1\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -57125829\/38266 + 79254\/53. Let d = q + 1\/361. Let z = -2\/95 + -5601\/190. What is the common denominator of d and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 + 437681317?\nAnswer: 437681316.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2.3 (b) -0.017 (c) -1147\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of s**8\/840 - s**7\/105 + 7*s**6\/300 + s**5\/150 - 2*s**4\/15 + 4*s**3\/15 + 10*s**2. Determine x so that y(x) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of 1\/5*b**5 + 0*b**3 + 0 + 13*b**2 + 1\/6*b**4 - 1\/10*b**6 + 46*b. Find the third derivative of d(p) wrt p.\nAnswer: -72*p + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1*(sqrt(425) + (sqrt(425) + sqrt(425) + sqrt(425)*-1 + 4 - sqrt(425))) - (-5 + 2 + 1*sqrt(425)*-1))**2.\nAnswer: 60*sqrt(17) + 1709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 - 31*a - 5. Let p be o(-30). Let i be 3\/15*(p + -10). Suppose -27 + 3 = -2*f. Solve -f = 6*u - i*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/5, -3\/11, -4\/3, -1\/4?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, j: 1, p: 1, n: 2}. What is prob of sequence pnn?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6619*f**5 - 15185*f**2*g**2 + 127*f*g + 7*f - 2850*g**2 - 1 wrt f?\nAnswer: -132380*f**3 - 30370*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b + 6. Let n be h(-6). Suppose -3*p + 476 = 4*z, 3*z - 352 = -p - n*p. Suppose -64 = -5*f + z. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/18)\/((-41)\/(-6098)). Let a = -111\/41 + z. What is the common denominator of 29\/9 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -5*n - 14. Let v be z(-4). Let y be (-2)\/7 + v*(-36)\/224. Which is the second smallest value? (a) 2 (b) y (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -4, -0.2, 0, -1, -1489?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47 + -45. Let g be ((-6)\/(-3) - -4)\/u. Solve -1\/3*o + 1\/3*o**g + 1\/3*o**2 - 1\/3*o**4 + 0 = 0 for o.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5584 + 2665. Round n to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*f - 200 = -31*f for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -31269, 2\/3, -0.15 in ascending order.\nAnswer: -31269, -0.15, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 5*m**3 - 343*m**2 - 6777*m + 474707. What is q(68)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 208 divided by 41233?\nAnswer: 208\/41233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, d: 1, b: 1, p: 6, q: 1, r: 5}. What is prob of sequence qppr?\nAnswer: 5\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -36*v - 4. Let a be j(1). Let i = 42 + a. Solve -4*g + 7 = z - 2*z, -4*g - 2*z - i = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2 - 178*r**3 + 177*r**3 + 2*r + 3*r. Let d be 5\/(-2)*(-30)\/(-25). Give l(d).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18915880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 279 divide 57949253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -13*w. Let j(o) = -772835*o**2. Calculate y(j(h)).\nAnswer: 10046855*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1616952, 6467808, 14552568, 25871232, 40423800?\n\"Answer: 1616952*t**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -7*x**2 + 3*x - x**2 + 10*x**2 + 2*x + 1 - 5*x**2. Let m be p(1). Solve 4*g = 19 - 7, -m*s = -2*g + 15 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2037 - -2045 - (89 + -3 - -3)?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 PM and 2:03 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**3 + 187*m**2 + 130*m + 3447. Calculate r(-93).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 185202 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 15*g - 1. Let j(y) = 7*y**2. Calculate j(f(v)).\nAnswer: 1575*v**2 - 210*v + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 611513833 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 104 - -115cb?\nAnswer: 116d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of -2*w**6\/15 - 19*w**5\/5 + 20*w**4\/3 - 2157*w. What is j in y(j) = 0?\nAnswer: -20, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37847, -41622, -45383, -49124, -52839, -56522?\nAnswer: -60167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(76) + 1 + sqrt(76))*-6 + -2 + (sqrt(1900) + -2 + sqrt(1900))**2 + 2)*-5 + 1.\nAnswer: -37959 + 640*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-3\/14)*k)\/k**(1\/40)*(k**1)**(-1\/39))**(5\/13) assuming k is positive.\nAnswer: k**(8027\/28392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 - 57*z + 315. Calculate p(5).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1912806, 1912809, 1912814, 1912821, 1912830, 1912841?\nAnswer: 1912854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -0.1 (c) 2 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-3850)\/(-30) + 92\/(-69) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/4*2*-4. Solve -b = -g + 1 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1849?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of 0*r**3 + 0 + 1\/24*r**4 + r**2 + 0*r. Let z be i(6). Let h(t) = -t**3 + 5*t**2 + 6*t + 1. What is h(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 882 and 6350596?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -61 or -9619?\nAnswer: -9619","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 172 in -4, -30, -8\/3, 13, 1?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 2*r + 16 = 0, 9 = -16*u + 13*u - r. Let q(k) = -2 + 2*k**3 + 2*k**2 - 3*k - k**3 - k**2. Calculate q(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 - 160*x + 4008. What is u(22)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2341475790 a multiple of 1586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 2:24 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.456 - 4.4560001597. Round m to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/2300 and -11\/71760.\nAnswer: 358800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 18 = 3*o. Let u = -16 - o. Let f(z) = -14*z - 10. Is f(u) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 968\/24 + 6\/9. Let k = -39 + a. Let w(p) = -2*p**3 - 4*p**2 + 2*p + 2. Let x be w(-3). What is the highest common factor of k and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of -1\/10*q**5 + 0 + 3\/2*q**4 - 32*q + 0*q**2 + 0*q**3. Factor m(h).\nAnswer: -2*h**2*(h - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1113 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k + 4. Let a be m(0). Suppose -4*u = 5*f - 22, -a*u + 0*f = -4*f - 4. Suppose -u*q + 50 = 2*q. Is q a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 3*d**2 + 95*d - 5. Let u(x) = 2*x - 72. Let m be u(20). Is 9 a factor of b(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 1014*o + 8309. Let y be u(-8). Suppose 3*l - 286 - 1019 = 0. Suppose -5*r - 4*b + l = 0, 4*r - 6*r = -3*b - y. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(1 - ((-1263)\/(-315) - 3)). Let p(f) be the second derivative of 0*f**5 + a*f**6 + 5*f + 1\/7*f**2 + 0 - 1\/21*f**4 + 0*f**3. Factor p(z).\nAnswer: 2*(z - 1)**2*(z + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttyfhatht. Give prob of sequence ah.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 + 4.8972.\nAnswer: 5.2972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2721 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*k**4 + 173*k**2 - 19*k - 109205 with respect to k.\nAnswer: 12*k**3 + 346*k - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 301376?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of y**7\/140 + 23*y**6\/40 + 77*y**5\/8 + 225*y**4\/4 + 12547*y**2. Factor f(t).\nAnswer: 3*t*(t + 5)**2*(t + 36)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5668, -4, 9\/97?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6666792 is divided by 65?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + 3 - (-2 - (1 - 4)). Which is the smallest value? (a) -5 (b) p (c) -0.2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 742, 725, 702, 673, 638, 597?\n\"Answer: -3*x**2 - 8*x + 753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 11.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 64, 59, 54?\n\"Answer: -5*r + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - 977?\nAnswer: -981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 2\/5 (c) 763 (d) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 400806*i**4 - 9*i + 37475.\nAnswer: 4809672*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 7) + -8 - -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9508 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(4\/3*-12)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2692, 2697, 2700, 2701, 2700, 2697, 2692?\n\"Answer: -q**2 + 8*q + 2685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 1 + 50*f + 233*f - 57*f.\nAnswer: 226*f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 h when four letters picked without replacement from syhhsshsssshhsssssss?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 15*(-52)\/(-11232)*12\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8388339?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 721726.\nAnswer: 2, 360863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**5\/2 + 92*j**4 - 4331*j**3\/2 - 12608*j**2 - 15810*j = 0. Calculate j.\nAnswer: -3, -2, 0, 34, 155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21874 is divided by 277.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 32*v**3 + v**2 + v - 1. Let d(q) = -5*q**2 + 196*q - 227. Let n be d(38). Calculate m(n).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 a when two letters picked without replacement from vvccacc?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2*o + 3 = 0. Let t = -33.1 + 33. Let j = -2.9 + 3. What is the closest to j in -0.4, t, o?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22436*h**2*j**4 - 37*h**2*j**2 - 2235*h**2 - 2*j**4 + 6*j**3 wrt j?\nAnswer: -538464*h**2*j - 48*j + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 7*j = -970. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -497 and 0.01438?\nAnswer: -7.14686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 22 and 26766.\nAnswer: 26788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 5*n + 10 = 0, 16548 = -4*w + 5*n + 16558 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2143 - -2293. Calculate the remainder when 896 is divided by p.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -5 (b) -0.2 (c) 0.4 (d) -6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 513273 to the nearest integer?\nAnswer: 716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**3 + 2*i**3 + 4*i - 4*i - 2*i to the form x + o*i**3 + b*i + k*i**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 25*x + 24*x + 10 = 0, 4*o - 16 = -4*x. Suppose t - 3 = 0, 110362 + 271850 = -o*y + 4*t. Round y to the nearest 10000.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -28 - -16. Let o = 24 + k. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/(-4))\/((-10)\/16*2). What is the biggest value in a, -4, 0.8, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.6732515 micrometers?\nAnswer: 0.0006732515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (820\/20*(2\/(-10))\/((-61)\/(-305)))\/(-1)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5160438, 10320867, 15481286, 20641689, 25802070, 30962423, 36122742?\nAnswer: 41283021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 472163 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -205 = -9*p - 32*p. Solve -2*s + 21 = -5*k, 1 = -3*k + p*s - 4 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 720, 2730, 6016, 10584, 16440, 23590, 32040, 41796?\n\"Answer: i**3 + 632*i**2 + 107*i - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 10 = 4*s - 0*u, -3*s - 21 = 3*u. Let n be (-22)\/s + 1\/(-2). Suppose 0 = 4*f - 5*j - 2 - n, 5*f - 30 = 2*j. Is 8 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -i**2*k - 190*i**2 - 26*i*k - i - 76342*k wrt i?\nAnswer: -2*i*k - 380*i - 26*k - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 836 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -647 + 741. Suppose 93*u = c*u - 4. Calculate the highest common factor of 1 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/(756\/240)*((-54)\/108)\/((-4)\/42).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 4:46 PM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-72)\/48*2\/(-3)*1. Let m(v) = 144*v**3 - 2*v + 3. Let t be m(a). Round t to the nearest ten.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 77, -0.2, 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -9, -2, 1, 0, 5 in increasing order.\nAnswer: -9, -2, 0, 1, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 n when two letters picked without replacement from {l: 1, n: 4, s: 3, u: 4, q: 2}?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 (base 8) in base 14?\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 5:26 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19 and 551?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwhwhwwwwhwwwww. What is prob of sequence wwwh?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of -l**3\/3 - 3*l**2 - l. Suppose 4*g + 28 - 8 = 0. What is a(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(4*((-9)\/6)\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 576 + 60142?\nAnswer: 60718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**2 - 4*i - 2. Determine r(-3).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of 49*u**4\/15 - 56*u**3\/15 + 8*u**2\/5 + u. Find g such that l(g) = 0.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9923 or -1\/2?\nAnswer: -9923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -153 - -458\/3. Which is the second smallest value? (a) -0.2 (b) j (c) 5 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 - -9. Let s = 10.2 + q. Let p = 0.3 - s. Which is the third biggest value? (a) p (b) -5 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**2 - 5*o + 2. Let v be x(3). Suppose -4*b = -5*a, -v*b + 0*a = -a. Let k(g) = 1 - 5 + 10*g + 5 + b. Give k(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5144?\nAnswer: 2, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 12*y**2 + 17*y - 27. Let b be d(-6). Suppose 6*s - b = 57. Calculate the greatest common factor of 100 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2 - 8127*p - 16266.\nAnswer: 3*(p - 2711)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 96 - -15. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1526308559.\nAnswer: 223, 6844433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/21 (b) -3\/2 (c) 74\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3919743?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.784 * -0.3\nAnswer: 0.2352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 270720, 542161, 813602?\n\"Answer: 271441*f - 721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 361 = -4*b - 54, -v + 5*b + 280 = 0. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -9*b**2 + 8*b - 2. Let f(a) = -4*a**2 + 4*a - 1. Let u(n) = 13*f(n) - 6*v(n). Let r be -5 - 7\/((-7)\/2). What is u(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + -0.962464549354.\nAnswer: 17.037535450646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 37198459933 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 72332, 289214, 650646, 1156628, 1807160?\n\"Answer: 72275*y**2 + 57*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -4*n + 21, 3*n - 12 = -3*s + 2*s. Suppose g = -s*g + 132. Is 11 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 70693836, 70693848, 70693874, 70693920, 70693992, 70694096?\n\"Answer: r**3 + r**2 + 2*r + 70693832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h + 8. Let q be z(5). Suppose -q = -s + 4*s. Let g = -2.6 - -3. Which is the nearest to s? (a) g (b) -2\/9 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4429*h + 8851*h + 941 - 4426*h to the form i*h + g and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 = -291*f + 974 + 843. What is the least common multiple of 18556 and f?\nAnswer: 55668","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -395 - -510. Solve 25*c + u = 2*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 + -12. Let l = q + -2.2. What is the second biggest value in l, -9, 2\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*l**5 - 50*l**4 - 15*l**3 + 60*l**2 + 20*l = 0.\nAnswer: -2, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12079*i**5 - 2*i - 5466 wrt i?\nAnswer: 241580*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**2\/6 - 3041500*d\/3 + 4625361125000\/3 = 0.\nAnswer: 3041500","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of 0*k + 1\/105*k**7 + 0 + 0*k**5 + 0*k**6 + 1\/12*k**4 + 4*k**2 + 0*k**3. What is the second derivative of p(n) wrt n?\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - 58072 = -118*n - 10*n. Calculate the smallest common multiple of 280 and n.\nAnswer: 4760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.173 + 3.173. Sort -1\/2, -0.69, b, -3 in descending order.\nAnswer: b, -1\/2, -0.69, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6113?\nAnswer: 6113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5*(sqrt(1584) + 0 + -4)*-6 + -2 + ((2*sqrt(1584)*-1 + sqrt(1584))**2 - (sqrt(1584) + 2*sqrt(1584) + -1)**2)).\nAnswer: -12795 + 432*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -1523*y**3 - 6*y**2 + 35*y - 8. Is q(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 481 and 92796?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 73994 or 1341?\nAnswer: 1341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 10\/41 (b) -30 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -2*z + 2, 5*o + 0*o = -z + 1. Suppose 4 = u - z. Suppose -5*r - 4*v + 2903 = 0, u*v + 382 = -5*r + 3282. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*2\/(-44)*((-162)\/(-306))\/((-270)\/(-60))\nAnswer: -2\/187","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vwmddv. What is prob of sequence wvd?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 3 = -3*k, -21 = -9*k - 93*g + 95*g for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of -a**7\/180 - a**6\/24 - a**5\/360 + 5*a**4\/24 + 2*a**3\/9 + 5*a**2 - 6*a. Suppose q(i) = 0. What is i?\nAnswer: -4, -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*f - 5150 = -473*f for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 214380 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by (-26)\/(-104) + 1 + (-55)\/(-4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55696 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208435 is divided by 23158.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-618)\/103 - 1171\/(-204) and 119\/48.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -33\/25645?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ual when three letters picked without replacement from aulaaualaulu.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 350216107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of -k**4\/12 - 5*k**3\/6 + 2*k. Let o be q(-4). What is the units digit of (2\/o)\/((-8)\/(-1136))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55\/(74360\/(-78))*-4.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 + f + 2. List the prime factors of b(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*x - l, -3*l = 4*x - 2*l - 9. Let m = -4 + x. Let d be -2 + 0 + 0 - m. Which is smaller: 1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4449 - 4449.1. What is the closest to 3 in p, 3, 3\/7, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 196\/102*108\/72 - 2\/(-17). What is the highest common divisor of b and 995?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3233185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 1. Suppose -3*b + 20 = 2*b. Suppose h + 3*o - 15 = -2*o, -9 = -b*h - 3*o. What is the second smallest value in 3\/2, p, h?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -4*u**4\/13 + 11326*u**3\/13 - 13436*u**2 + 213584*u\/13 + 1216512\/13 = 0.\nAnswer: -2, 4, 27\/2, 2816","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - (31 - -3)) + 57\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, j: 3}. What is prob of picking 1 o and 3 j?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - 1\/1 - 88. Let k = -64 - x. What is the remainder when k is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4264\/(-656)*(-36)\/585)\/(4\/1110).\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2606956?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - -0.184603365.\nAnswer: 0.084603365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.5 - 4.508. Let s = -0.0079789 - k. Round s to 6 decimal places.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 PM and 9:43 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 15, 7, 0, 113 in decreasing order.\nAnswer: 113, 15, 7, 4, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r**2 + 4 - 4 - 10*r**2.\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -117776000 to the nearest 1000000.\nAnswer: -118000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 13*n = 41, -4 + 39 = 5*v - 5*n + 15 - 15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/450*8*(-6)\/(-12)?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 74\/19017 and 39\/11496833.\nAnswer: 103471497","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0449542705 rounded to three decimal places?\nAnswer: -1.045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 502970 and 32441565?\nAnswer: 64883130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 18 (c) 25 (d) -16 (e) 0 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 604 - 2da?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m**2 - 2*m - 5. Determine b(-4).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 49 + -48. Let n = 1\/386 + -680\/1737. Find the common denominator of 524\/(-24) + q*4 and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k**(-10)*k)*k**(-5)*k*(k\/(k*(k*k**2)\/k*k))\/((k*k*k**(2\/15)\/k)\/k) assuming k is positive.\nAnswer: k**(43\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 696888 rounded to the nearest one thousand?\nAnswer: 697000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6832444 and 6412?\nAnswer: 916","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of 7*y + 0*y**2 - 1\/3*y**4 - 2\/15*y**6 + 0*y**5 + 0 + 0*y**3. What is the third derivative of c(i) wrt i?\nAnswer: -96*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h - z - 13, 237*z = 16*h + 235*z - 38 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 730*f + 393*f + 203*f - 46*f + 123*f + 33*f.\nAnswer: 1436*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 17\/(136\/(-16))*1\/8\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 2:32 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 12*m - 180 = 0. Let g(i) = 3*i + 33. Let q be g(m). Let l be (5 - 42\/6)\/(4\/q). What is l rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*1*sqrt(66))\/((sqrt(14)*2)\/sqrt(7)))\/(((sqrt(45)*-1)\/sqrt(3))\/(-2*sqrt(245))).\nAnswer: 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -93? (a) -3\/7 (b) 21 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) -1\/2 (b) -8 (c) -78 (d) -3 (e) -2\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1280 + -1283. Let w(s) = -s - 5*s**2 + 4*s**2 - 7 + 9. Calculate w(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.046, -140 in ascending order.\nAnswer: -140, -0.046, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -6*d**2 + d - 4. Let w(n) = n**3 - 11*n**2 + n - 7. Calculate 5*v(q) - 3*w(q).\nAnswer: -3*q**3 + 3*q**2 + 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, e: 2, g: 1, l: 7, n: 1, k: 2}. What is prob of picking 1 n and 1 l?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/6*1746\/(-3104)\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 5199.9 to the nearest 100.\nAnswer: 5200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -4 + 4 - 5*j. Let n be x(-1). Let z be -2 + 1 - (0 + 4). Sort -4, z, n.\nAnswer: z, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 240532.\nAnswer: 2, 60133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 34) + (6 + 2 + (0 - 2) - 15)\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 118162, 118153, 118148, 118153, 118174, 118217, 118288?\n\"Answer: q**3 - 4*q**2 - 4*q + 118169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) + sqrt(252)*1)\/sqrt(4)*-4.\nAnswer: -24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 8:47 AM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 4*h = -5*h - 5*h. Let q(x) be the third derivative of -1\/20*x**5 + 1\/6*x**3 + 0 - 1\/4*x**4 + h*x + 9*x**2 + 1\/120*x**6. Calculate q(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/48 and 59\/25424124?\nAnswer: 101696496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15912 + 15914. Factor 10\/9*b - 8\/3*b**c + 4\/9.\nAnswer: -2*(3*b - 2)*(4*b + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*-2*sqrt(133))\/(sqrt(1008)*1))**2.\nAnswer: 19\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7027 + -63241\/9. Suppose 4\/9 - x*q - 2\/9*q**2 = 0. What is q?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 618237 - 21?\nAnswer: 618216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1528, 1526, 1522, 1516, 1508?\nAnswer: 1498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31\/(465\/270)*(-6)\/(-63)?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -1657*q**2. Let u(d) = -3*d**2. Give x(u(o)).\nAnswer: -14913*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*s - 533 - 259. Is 12 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 AM and 10:06 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 5*u - 14*u)*(0*u**4 - 2*u**4 + 3*u**4)*(4 - 4 + 2).\nAnswer: -16*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*b**5 - 3*b + 94*b**5 + 0*b + 5 - 17 wrt b?\nAnswer: 1680*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from ddbdssusdddd.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4872417 and 5.\nAnswer: -24362085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of x**3\/3 - 7*x**2\/2 + 8*x - 1. What are the prime factors of c(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 44\/(-22)*(0 - -1). Let r be (769998 - 4\/(-1)) + g. What is r rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -5*m**2 - 19308*m + 38644. What is u(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3 - 341490*v**2 + 9717951675*v.\nAnswer: 3*v*(v - 56915)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -204 + 199. Let i be (m\/(-6) + -1)*-4. Which is the smallest value? (a) i (b) -26 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5.5038? (a) 0.18 (b) -2 (c) -1\/49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 291 is divided by 54.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 503*q - 502*q + 2 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6897? (a) 0.2 (b) 3 (c) 5 (d) -7\/51 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06382 rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 + 1. Let i be (-36)\/(-45)*5\/j. Let n = -0.1 - -0.6. What is the nearest to -1 in i, 4, n?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f - 2. Let p = -503 - -495. Let n(g) = 16*g - 3. Let w be n(2). Let i be w\/4 - (-2)\/p. Give k(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4163 or 4160?\nAnswer: 4160","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 264 + -184. Let g = o + -113. Let a = -13 - g. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 z when four letters picked without replacement from {j: 6, z: 2, r: 5}.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 201 = g + 30, -2*b = -5*g + 804. Calculate the remainder when g is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 41 - 24. Suppose -3*k + i = -10. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2105 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 24633?\nAnswer: 24630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 0, -12, 18.\nAnswer: -12, -1, 0, 1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 4*j = -820 + 216, 3*p + j = -461. Let t = 155 + p. Let s be -8*1 + (-10 - -12). Sort 1, s, t in increasing order.\nAnswer: s, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 17 = 4*n, g - 6 = -4*n + 7. Let l be (1\/3)\/(3\/27). Suppose -l*t + n = -2*t. Solve 0 + 9 = -t*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -374 - -554. Does 60 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one tenth of a kilogram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -x**3\/3 + 2*x**2 + x - 22. Let o be q(6). Let v be o\/1 + (-42)\/(-14). Which is smaller: v or -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x*x**0*x**(-2\/15)*(x**1\/x)**(-9) assuming x is positive.\nAnswer: x**(28\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.032 + -1.132. Let g = v + 6.1. Suppose 2*r - 6*r = 16. What is the closest to 2\/5 in g, -0.2, r?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -117 - -174. Suppose 32 = f - p. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 3)*(l - l + 2*l) + 0*l - 4*l + 5*l - 98*l - 111*l - 1 + 2.\nAnswer: -210*l + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 4*y + 5*j - 32 = 0, -y - j - 8 = 0. Let w be (y\/16)\/(2\/(-4)). Which is the closest to -1\/2? (a) 0.2 (b) w (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 185, 261, 341, 425, 513, 605?\nAnswer: 701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*i**2 - 125 + 2*i**2 + 2*i + 0*i**2 + 5*i**2 - 5*i**2 in the form z*i**2 + f + k*i and give f.\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 8. Let o be (-5)\/4 + (-62 - -63). Let j = 948\/11 + -86. What is the biggest value in o, z, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25)\/7*(243\/2430)\/(1\/6).\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 v, and 2 b when four letters picked without replacement from {b: 2, l: 7, v: 4}.\nAnswer: 28\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210*o = -25*o - 23342005. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20 in -13, 2\/21, -6.593?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 + 24. Let m = 39 - h. Suppose -8 = -4*u - 4*k, 6 = m*u - 3*k - k. What is the highest common factor of 14 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 1 + 4)*(0*c + c - 2*c)*(c - c + 8*c**3).\nAnswer: 16*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*a + k + 99 = -80*a, 5*a - k - 55 = 0 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*y**2 + 18*y**2 - 4*y**2 + 17*y**3.\nAnswer: 17*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.5 + -1. Let x = -1\/311 - 24562\/2177. Let o = x + 653\/56. Which is the third biggest value? (a) 1 (b) o (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -351.5 + 352. Which is greater: -1\/4 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*w**4 - w**4 - 2*w**4 + (-2*w**2 + 3*w**2 - 2*w**2)*(0*w**2 - 4*w**2 + 2*w**2).\nAnswer: 4*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/4)\/(2\/(-12))*-1.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o**2 - 3*o**2 - 2*o**3 + (-7 - 4 - 13)*(5*o**3 - 2*o**3 - o**3) + o**3 + 1 - 1.\nAnswer: -49*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 5 (b) -27818 (c) -0.4 (d) -3 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*j = 5*z + 42, 97*j - 3 = 3*z + 98*j for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 135772238?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 + 83*v - 41. Is m(51) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -79*b - 968 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 450309 rounded to the nearest one thousand?\nAnswer: 450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = 5*j - 173. Is 15 at least as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28023 - 16983 + 57444 + a.\nAnswer: a + 12438","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 101084720*g**2 - 43435386*g?\nAnswer: 202169440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8405.977 + 8391. Let m = c - -15. Let l = m - 0.0183. Round l to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3798304*o + 2145270.\nAnswer: 3798304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 13 = -2*d + 9*r, -3*r - 3 = 3*d. Solve d*h - 23 = -13 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**2 + 15*v + 26*v + 3*v**2 - 51*v.\nAnswer: v**2 - 10*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 (base 7) in base 3?\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -0*v. Suppose v*a - a = -12. Is 6 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1401, 3, 4, -47 in descending order.\nAnswer: 4, 3, -47, -1401","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8954745609 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.0271 * -0.1\nAnswer: 0.00271","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 108, -1\/3, 0, -5\/4, -3\/2 in increasing order.\nAnswer: -3\/2, -5\/4, -1, -1\/3, 0, 108","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 7. Let w(l) = -1. Let n(y) = y**2 + 2*y + 4. Let c(u) = n(u) + 6*w(u). Let i be c(-4). Solve -3 = -2*d + f, k*f = -4*d + i + 21 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -99\/20, 3, 4, -2.6?\nAnswer: -99\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, m: 12, h: 3}. What is prob of picking 1 i and 2 m?\nAnswer: 33\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*u**3 - 162*u**3 + 90*u**3.\nAnswer: 7*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 16, 4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 PM and 11:40 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 5*f = 6. Factor l**4 - 4*l**4 - l**5 + 21*l**2 - 3*l**f - 22*l**2.\nAnswer: -l**2*(l + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6904*k**3 + 6902*k**3 - 1 - k**2 + 3 + 29*k in the form z*k**2 + u + r*k**3 + v*k and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 421739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -26*j**2 - 172*j - 114. Let h(v) = -5*v**2 - 34*v - 23. Let k(b) = -16*h(b) + 3*q(b). Let x be k(-13). Solve -c - 7 + 12 = x for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 655325407?\nAnswer: 11, 23, 229, 11311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a - 123 = -147 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2. Let q(a) = 299*a. Give q(t(u)).\nAnswer: -299*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*s + 2*s - 22 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 21, 111, 357, 837, 1629, 2811, 4461, 6657?\n\"Answer: 13*s**3 - s + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 2*a - 3*v = -6, -5*v = 3*a. Suppose a*p - 2 = 8. Solve -9*q + 22 = p*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17190bb (base 12) in base 2?\nAnswer: 10010001011001001001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 129 and 143118?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/659880 and 7\/72?\nAnswer: 659880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 145*t**2 + 138*t**2 + 145*t**2 - 431*t**2.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28 - 28. Suppose 0 = -c*x - 4*x. Sort x, -0.4, -2\/3.\nAnswer: -2\/3, -0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1082662?\nAnswer: 2, 7, 17, 4549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 225026.\nAnswer: 2, 59, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -9, 5, -19, -52, 2, 3.\nAnswer: -52, -19, -9, 1, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -2819.\nAnswer: -4\/2819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 28*y + 1. What is the remainder when n(2) is divided by (3\/(27\/18))\/(-1) - -14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -155452*m**3*s**2 - 786*m**2*s**2 - 9*m**2 wrt m.\nAnswer: -932712*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 357744 divided by -119248\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p + 46. Let x = 80 + -64. Let q(w) = 3*w - 10. What is the remainder when y(x) is divided by q(10)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (57 + 10 - -1 - 6 - (2 + 9))\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 4. Let a(l) = l**2 - 5*l - 7. Let y be a(6). Sort -2, d, y in descending order.\nAnswer: y, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214*x - 211*x = 3*u + 38514, 0 = -5*u + 30. List the prime factors of x.\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.68? (a) 10 (b) 2\/3 (c) 5 (d) 4 (e) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/5)\/(4\/(-10)). What is the derivative of -21*v - 3 + 4*v**k + 21*v wrt v?\nAnswer: 8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -0.31125?\nAnswer: -2.68875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 19 - 13 + 0*b**2 + b**2 - 912*b**3 - 2*b - 8. Is j(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 divided by 396.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 - 53 = -4*m. Let o(i) = i**3 + i**2 - 7*i + 1. Let w be o(-3). Solve -4*d - w*l - m = d, 4*l = -d - 9 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 + 19*w + 42. Let q be z(21). Let c be -1 - (q - (-44)\/(-4)). Let j(i) = -i**3 - 8 + 2*i**3 - 3*i + i**2 + c. Give j(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-174)\/225)\/(-29))\/((-26)\/156).\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + 4*g**2 - 6*g - 3. Let h be i(-5). Suppose x - 1 - 6 = 0. Suppose -u + 2*q + 9 = 0, 4*q - 46 = -3*u + 11. Solve -h*j + u = -x*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -274*k**6 - 22*k**4 + 4*k**3 - 11*k**2 + 5*k + 55 wrt k?\nAnswer: -32880*k**3 - 528*k + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of 5*d**4 - 2*d**3\/3 - 5*d**2\/2 + 3*d + 42. Is w(3) a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(j\/(j**(-1\/3)\/j))*(j*j**(1\/7))\/j*(j\/j**(-3\/2))\/j**(1\/3))\/(j**(-4)*j*j*j**3)**(-1) assuming j is positive.\nAnswer: j**(125\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 5*b + 0*b = 75, u + 2*b = -18 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*(1 + 2 + 0). Let x = 0.2 + -0.2. Let m = x - -0.1. Which is the closest to 1? (a) m (b) -2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 336 and 9156?\nAnswer: 36624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1071*z = -1073*z + 84. Let w(b) = b**2 - b - 3. What is the remainder when z is divided by w(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 19738*c - 4046301. Calculate w(205).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*a**2*f**2 - 2*a**2*f*z - 5*a**2*z**2 + 2*a**2 - a*f**2*z**2 - a*f*z + z**2 wrt z?\nAnswer: -10*a**2 - 2*a*f**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2541 is divided by 111.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 20\/3. Let g = -4.15 + 3.8. Let m = g - -2.35. What is the biggest value in -2, l, 1\/2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1665*y - 542*y - 12623 - 1120*y + (-y - 2*y + 2*y)*(3 - 1 - 1) to s + v*y and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4522588?\nAnswer: 2, 7, 161521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -34*m**2 + 7*m*p**2*y - m*p**2 - m*p + 46*p**2 + 623*y wrt m?\nAnswer: -68*m + 7*p**2*y - p**2 - p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/3 + 5\/33. Let f = 0.37 - 9.87. Let o = -9 - f. Which is the third biggest value? (a) o (b) q (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + 10*h**2 - 10*h + 9. Let k be u(9). Suppose k = 3*a + a - 20. Solve 5*s - a = 3*j, -2*s + 23 = 4*j - 5 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -56366\/3 - -18790. Factor -2*u + 4\/3 - 2*u**2 + y*u**3.\nAnswer: 2*(u - 2)*(u + 1)*(2*u - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/39*-1 - (-290)\/26. Suppose -3 = 2*y - x, 4*m + y = 52. Let i(f) = -f**3 - 7*f**2 - 6*f + 4. Calculate the least common multiple of m and i(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rry when three letters picked without replacement from yybbxjbrjyrbjdjryyyy?\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/1*8\/6. Let w be 3\/(-12) - (-3)\/x. Let s be (-1)\/(2 + 45\/(-25)). What is the closest to 1 in 3, s, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 194616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8.39 + 8.09. Let i be ((-1)\/2)\/(2\/124). Let j = i - -61\/2. Which is the nearest to j? (a) -4 (b) 0 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-14)\/(-70)*(1 + -1). Suppose g = 77*o - 72*o - 15. Solve -3*x = o, 7 = 3*c - 2*x + 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 5*u**2 + 4*u - 1. Suppose 0 = d - 6 - 24. Let o = 7 + d. Calculate the remainder when o is divided by s(5).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143220 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.04212 and -1914983.\nAnswer: -1914982.95788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 183623149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiioo. What is prob of sequence oiio?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1067148659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (111 + 10 + 89)*(1 + 2*q**5 - 1) + q - q + 5*q**5.\nAnswer: 425*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0035594216 to five dps.\nAnswer: 0.00356","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.3763 + 0.8763. What is the nearest to -0.11 in 3, 5, 1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of -5*f**4\/4 + 2*f**3\/3 + 3*f**2\/2 + 2. Is i(-2) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1514 (base 11) to base 4\nAnswer: 132133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) 2\/99 (b) 0.4 (c) -2\/7 (d) -5\/3 (e) 77\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i - 4*i - i)*(0*i**2 + i**2 - 4*i**2) - i**2 + i**2 + 2*i**3 - 6*i**3 + 3*i + 7*i**3 - i.\nAnswer: 6*i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 226 + 10957?\nAnswer: 11183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-9\/4))\/(c**2*c))\/(c**15\/(c*c**(1\/5))) assuming c is positive.\nAnswer: c**(-361\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -3*t**2 + 4. Let i(q) = -1. Let h(b) = -4*i(b) - o(b). Let r(p) = -3*p. What is h(r(s))?\nAnswer: 27*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11479.\nAnswer: 13, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that f**5\/3 - 65969*f**4\/3 + 3428306*f**3\/3 - 40998970*f**2\/3 - 30848913*f - 16017831 = 0.\nAnswer: -1, 27, 65917","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 4*w = 316813, 0*w = -u - 5*w + 105598. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of -c**5\/20 - 11*c**4\/12 - 13*c**3\/2 - 45*c**2\/2 + 7*c. Factor n(g).\nAnswer: -(g + 3)**2*(g + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (65\/39)\/(13\/((-117)\/(-6)))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0027344 rounded to five dps?\nAnswer: -0.00273","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u + 6. Let a(f) = 6*f**2 + 2. Calculate -a(j) + h(j).\nAnswer: -6*j**2 - j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 + 20778\/(-36)*(-6)\/1. Let v = 5116 - s. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -479, -109\/6, 0.4, 0.\nAnswer: -479, -109\/6, 0, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -33 + 51. Let j be (-2)\/(-5) - 24\/(-15). Suppose -3*y - 5*n + 133 = 0, 0 = 2*y + j*n - 53 - 41. Calculate the remainder when y is divided by u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 5\/2, 4\/5, 28, -4.\nAnswer: -4, -0.4, 4\/5, 5\/2, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12978?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1323690.\nAnswer: 2, 3, 5, 44123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10073754 to the nearest integer?\nAnswer: 3174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 495\/396 + (-46)\/(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -943 - -943. What is the closest to s in -0.3, -1, 0.388, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = -0*f + 2*f. What is the closest to f in 4, 4\/5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 + 18. Let n = h - 1.9. Let u = 3.7 - -0.3. Which is the closest to -0.1? (a) u (b) -4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 9:59 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (756\/112)\/(12\/(-16)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*q + 15*q - 146 - 190 + 156 for q.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 42 + 32. Let h be (-18)\/c*(4 - -1). Suppose -7*l = -4*l - 3. Calculate the greatest common factor of h and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208*p + 425*p + 214*p - 2541 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -146543 and -146551 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2 + 55261810*z.\nAnswer: 2*z*(z + 27630905)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3114302 - 2214?\nAnswer: -3122021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 0*o - o)*((1 - 4 + 1)*(5 - 4 + 0) + 2 - 2 - 1 + 2 - 1 - 2)*((0 - 1 + 2)*(2 + 3 - 6) + 3 - 4 + 9).\nAnswer: 56*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*p = 2*k - 136, -144*p + 79*p + 70*p + 44 = 3*k for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 4 + 7 + -6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*c*j**3*o**2 - 1317*c*o**2 - 2*j**3*o**2 - 9*j**3*o + 12*o**2 wrt c?\nAnswer: -7*j**3*o**2 - 1317*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (-4 - (8 - 13))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1566)\/36*-12*(-10)\/180.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/5)*g)**(-6\/11)\/(g**(-3\/13)*g**(-3\/2)))**33 assuming g is positive.\nAnswer: g**(6021\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 + -2 + (-5)\/(-4) - 3. Factor -1\/4*o + q*o**2 - 1\/2.\nAnswer: (o - 2)*(o + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-148)\/144 - 1\/(-3)*(-36)\/54?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 14 + 1 - 7 + z + 80*z**3 - 3*z**2 - 7. Let x be w(1). Suppose -2*i = 2*a - 33 - x, 4*i = 12. List the prime factors of a.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -82 - -92.1. Let o = c - 10.5. What is the closest to 1 in o, -2, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3410 - 11032444?\nAnswer: -11041404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(112))*-3 + 4.\nAnswer: -12*sqrt(7) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n. Suppose -2*y - 6 = 4*q - 4, 5*y = 5*q + 40. Give b(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2288*w**3 - 2*w**2 + 79*w - 150. Does 208 divide d(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 204\/5*r - 288\/5 - 21\/5*r**2 = 0.\nAnswer: 12\/7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101000100 (base 2) to base 7.\nAnswer: 2303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-2 - -1) - (73 + -78)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -4, 2, 5\/14, -23.\nAnswer: -23, -4, -0.1, 5\/14, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a - 4*y + 14, 3*a - 10*y + 7 = -5*y for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of -4*i**3\/3 + 1. Let b(u) be the first derivative of 3*u**2 - u**2 + 6 - 3*u**2. Calculate s(b(d)).\nAnswer: -16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -527310, -527862, -528414?\n\"Answer: -552*g - 526758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-8)\/f)\/(f\/(f*f**41)*f)*(f**(-14))**50 assuming f is positive.\nAnswer: f**(-669)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 2 y, and 1 z when four letters picked without replacement from {r: 1, x: 7, z: 1, y: 3}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4950 and 495?\nAnswer: 4950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 39 = -19. Suppose 4*u = -3*n + 14, -5*u + 9*n = c*n. Let o(l) = -4*l + 3. What is o(u)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 + -8. Let n = y + 29. Calculate the lowest common multiple of n and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-66)\/(-4)*112\/6.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 458*o**3 + o**2 + 5*o - 10. Is 14 a factor of m(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 17\/4 (b) -2\/3 (c) 0.2 (d) -3 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 236 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -277473040 divided by -5\nAnswer: 55494608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11557099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/22 + (-62)\/(-22). What is the second derivative of -b**3 + 6*b**f + 3*b + 0*b**3 + 4*b wrt b?\nAnswer: 30*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(33\/(-187))*(-1)\/(-1). What is the highest common divisor of 119 and c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45226?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 398 = 3*o. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-24)\/(-5))\/((-16)\/(-20)). Solve 4*j = -2*s - 8, 3*j + k + 0 = s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + 7*s + 41. What is a(12)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -5*i + 1. What is the common denominator of c(8) and -1 + 17\/5 + (-17 - -14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 3 + 2)*(6 - 6 - 6*k + (-2*k + 0 + 0)*(-4 - 1 + 6)).\nAnswer: 56*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + (1 + sqrt(80) - sqrt(80))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 11:40 AM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*y + 5. Suppose t - 2*j = 5, 3*t - 9*j = -4*j + 11. Put t, y, -1 in increasing order.\nAnswer: t, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 178? (a) -73 (b) 1\/3 (c) -1\/19 (d) 1.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 PM and 11:35 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 4*u - 2. Suppose -12 = -4*d + 4*s - 0*s, 0 = -2*d - 4*s - 6. Let k be l(d). Solve 0 - 1\/2*a + 1\/4*a**k = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5900\/8)\/(-59)*96\/220?\nAnswer: -60\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -1 - 2 + 2171*j**3 - 4*j**2 + 7 - 2172*j**3. Calculate h(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -318. Is 19 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 8 = -p - 11, 0 = p - 1. Suppose -s + 5 = -4*f - 12, 4*f - d*s = -21. Let j = f + 9\/2. Which is the second biggest value? (a) j (b) -3 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -215 + 26 = -3*o. Suppose -2*z + 6 = -5*t + 111, 3*t - 3*z = o. Solve -3*b = -2*f - t, 3*f + 25 = 2*b - 2*f for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 130 = 133 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 781987936?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.13, 1, -2.2?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1520 and 646608?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*m**3 - 3\/2*m**2 + 3\/2*m**4 + 0 - m + 1\/2*m**5.\nAnswer: m*(m - 1)*(m + 1)**2*(m + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**2 + n**2 - 2*n**2 + 47272 - 47272 - 425*n**2 + (n - n + n)*(9 + 3 - 5)*(-n - 2*n + 0*n).\nAnswer: -445*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -14*r**3 + 17*r**2 + 225*r - 16. Let m be c(64). Round m to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*w**2 - 8*w**2 + 9*w**2.\nAnswer: 15*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 + 7 + 13)*(2*q - 6*q + 0*q) + (0 + 3 - 2)*(q - 5 + 5).\nAnswer: -135*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32\/347 + -147032\/1041. Let z = -140 - i. Let k(f) = 2*f - 10. Let u be k(7). What is the nearest to -2\/5 in 1\/6, z, u?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 3*l + 1. Let c(r) = -8*r - 3. Let u(n) = -n**2 + 8*n - 7. Let y be u(6). Let q be -16 + 5\/5*y. Determine q*f(a) - 4*c(a).\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/9*(-3)\/10.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8874 = 32170*m - 31996*m for m.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3049*m = 39350 - 216192 for m.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**5\/4 - 68337*b**4\/4 + 1167588891*b**3\/4 - 3502151667*b**2\/4.\nAnswer: b**2*(b - 34167)**2*(b - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 4*c - 4*g - 5693, 0 = -4*g - 20. What is the thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in six fifths of a millennium?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 428 and 432922.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 13*v**2 + 75*v - 1. Let x(u) = 4*u. Give f(x(d)).\nAnswer: 208*d**2 + 300*d - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -95 + 185. Does 30 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17 and 1517488.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 3051?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -396 + 1123*y - 505*y + 72 - 549*y. Is 80 a factor of j(22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3157752 and 116?\nAnswer: 3157752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*a - 2*a**3 - 21*a.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 5*k - 71 = 0, -2*t + 2*k - 1 = -43. Suppose 2*c = t - 3. Calculate the smallest common multiple of 22 and c\/2*(16 - 12).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -295 + 290 + -1 + -12?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -316 + 16*d**2 - 30*d**2 + 557 - 276 - d as m*d + n*d**2 + t and give t.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -48 - -46. What is the nearest to 1 in -1, z, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - -5 - 21) + (41 - 9)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 22*l + 10. Let a(m) = m + 1. Let c(f) = -20*a(f) + 2*g(f). Let o(b) = -b. Calculate o(c(z)).\nAnswer: -24*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -56*i + 10. Suppose 3*l = 56 + 22. Suppose 9*q + 1 = -l. Is v(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -135810887*d + 415427003 wrt d.\nAnswer: -135810887","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 48 = -2*x - 0*x, -4*x - 78 = -2*n. Let u(l) = 2*l + 44. Let f be u(x). Solve -4*b - 12 = -4*d, 25 = d + f*d + 5*b for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f**4\/4 - 7053*f**3\/2 - 4145394*f**2 + 63477*f\/2 + 149234427\/4 = 0. What is f?\nAnswer: -2351, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.59 + 0.49. What is the nearest to 1\/2 in 0.3, 0.1, i?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -20*a**2 - 32*a - 37. Let t(y) = -11*y**2 - 17*y - 21. Let l(d) = -6*m(d) + 11*t(d). Determine l(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 80, 88, 94, 98, 100?\n\"Answer: -s**2 + 11*s + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1907.3203 times -1?\nAnswer: 1907.3203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/4 + 516\/48.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -797*i**2. Let o(p) = -37291*p. Give u(o(x)).\nAnswer: -1108323088757*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1289, -2549, -3809, -5069, -6329?\n\"Answer: -1260*b - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*f - 6*f - 36 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 153*l - 153*l + 0 + 44*l**2 in the form z + h*l + a*l**2 and give a.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20360?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(78) - (sqrt(78)*-1 + sqrt(78))))\/(sqrt(60)\/(sqrt(30)\/sqrt(3))).\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 3*j = -8, 17 = x + j + 3*j. Let s be -161 + 1 - (x + 3). Let t be s\/(-14) + 10\/35. Calculate the greatest common factor of t and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 54 + -23. What are the prime factors of t?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*m - 726 = -m + 21*m - 264 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y + 1. Let t be o(-1). Suppose -t*s + 8 = -s. What is the remainder when s is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -360 at most as big as -364?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 18 + -aa?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c + 5*t = 4*c + 755, -4*c + 5*t + 595 = 0. Let u = 671 - c. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/6*(-305721)\/(-39). Is -2612 not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 5*s - 30 = 0. Let z(v) = -16*v + 4. What are the prime factors of z(s)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-6*(sqrt(112) - (sqrt(112) + (sqrt(112) - -2*sqrt(112)))) + sqrt(112))*3)**2.\nAnswer: 1819440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 201598?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -4*j**2 + 91*j - 26. Let v be z(17). Let d = -365 + v. Is -5\/43 at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*x = -68*x + 36. Suppose -3*o + 49 = x*z, -o = 2*z - 0*z - 23. Does 2 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - ((-3 - -5) + 0) - -8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (20*t + 11*t - 11*t)*(3681 - 3681 + 64*t) + 0*t**2 + 2*t**2 - t**2 in the form j*t**2 + s*t + a and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5698.\nAnswer: 2, 7, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + 5)*(2*j - 2*j + 4*j**2) + 2*j + j**2 - 2*j to the form c*j**2 + d*j + a and give c.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6399\/100 + 64. Which is bigger: 2\/5 or j?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 696479981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2\/57, -3, -12?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*w - 14689 + 2035 = 0. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - -1 - -1)\/1. Solve -2*g - 5 - 5 = i for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*r - 32 - 8. Let p(a) = -2*a**3 + 3*a**2 - 3*a + 1. Let t(d) = d**3 - 4*d**2 + 4*d - 2. Let v(o) = -3*p(o) - 4*t(o). Is v(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-114)\/(-152))\/(((-12)\/30)\/(3\/(-75)*-16))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -5*a - 7. Let r be 9\/(1\/2*-3). Let n(o) = o**3 - 59*o**2 - 320*o + 45. Calculate the remainder when n(64) is divided by v(r).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*o + 12*o - 18*o - o**4 - 49*o**3 - 2 + 0 as m*o**2 + t + u*o**4 + z*o + f*o**3 and give f.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 37\/8 (b) -1\/3 (c) 2\/145 (d) 0.057 (e) -0.3 (f) -2\/5 (g) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 3*a**2 + 3. Let x = -1 + 4. What is the units digit of g(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 6*u + 5.\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -552499 divided by -3.\nAnswer: 552499\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 9 - ((-14)\/(-70) + 10)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 + 49. What is the highest common factor of q and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*q + 1105 - 1111 + 0*q to the form w + z*q and give z.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 9 = n, 3*n + n = 20. Suppose o = -4*q + 3*s, -5*q + 1 = -4*s + 2. Is q at most -2\/67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 11:48 AM?\nAnswer: 6:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000157574012 to seven decimal places.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 12 = -v. Factor 1\/3*p**2 + 0 - 1\/3*p**v + 0*p.\nAnswer: -p**2*(p - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) + ((sqrt(187)*-1 - sqrt(187))*3 - sqrt(187)) - sqrt(187)*-2*-1)\/(-4*sqrt(66)\/sqrt(6) - -2*sqrt(1100)).\nAnswer: -sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 211.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -140341*p**3 - 6777 with respect to p.\nAnswer: -421023*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*p + 87*p = -103*p - 43*p - 3553 for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 141 - -3482?\nAnswer: 3633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1902095 + 10914649. Let w = 9012568.000022 - f. Let d = w - 14. What is d rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*m + 0*m + 2*m)*(-16 + 199*m + 31 - 15) in the form z*m**2 + r + h*m and give z.\nAnswer: 796","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.2, -5, -15.6 in ascending order.\nAnswer: -15.6, -5, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**3 - 4*l**2 + l + 7. Let d be t(3). Suppose -150 - 163 = 4*o + a, 0 = 2*o + 2*a + 152. Do d and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2026964 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2050 and 3680160?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-17)\/(-4) - (-1)\/(-4). Suppose -3*a = 3*q - 54, 0*q + 4*q = 2*a + 102. Suppose 0 = t*n - 41 - q. Solve r - 8 = j - r, 2*r + n = -5*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -222.16 - -2.\nAnswer: -220.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9813 - 9398. Solve 427*m - f*m - 60 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*m + 37*m - 157 = -4*f - 79*m, -5*m = -4*f - 23 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 10:55 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 192628747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 506.8 times 0.106?\nAnswer: 53.7208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -54*b**2 + 21*b - 21. Let c(k) = -11*k**2 + 4*k - 4. Let h(m) = m**3 + 24*m**2 + 43*m - 18. Let a be h(-22). What is a*o(n) - 21*c(n)?\nAnswer: 15*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and (-22)\/(-3)*(-6)\/(-4)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/(-15))\/((132\/(-6))\/110)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/140*(-1890)\/180*2\/((-2)\/5).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-28 + 6 - 8)*(k - 5*k + 7*k)*(-9 + 21 - 11) + (2 - 2 + 1)*(k - 3*k + k) as w + z*k and give z.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a - 18 + 25 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -208b97a (base 12) in base 10?\nAnswer: -6158254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2)\/(-8) - 9156\/(-48) is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4231 (base 6) to base 14.\nAnswer: 4c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8*c**2*p + 270*c**2 - 6304*p wrt c?\nAnswer: -16*c*p + 540*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - j**2 - j - 1. Let b be c(0). Let k = b + 4. Find the second derivative of 0*y**5 + k*y**5 - 5*y**5 - 3*y**5 - y wrt y.\nAnswer: -100*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -641490*y**2. Let w(p) = -p. Give w(z(l)).\nAnswer: 641490*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -v + 4, -a + 4*a - v = 14. Suppose -2*c = -8, 0 = 4*s - 3*c + a + 5. Solve q + 6 = s for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81025811 is divided by 1764?\nAnswer: 1763","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4688807?\nAnswer: 29, 161683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 9216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 67, 76, -23, -284, -761?\n\"Answer: -9*h**3 + 72*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*c = 6*c + 41, -4*c = 2*h - 22. Suppose -2*j + 0*q = -q - 70, j = -3*q + h. Calculate the greatest common factor of 22 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 48\/9 - 3\/9. Suppose -k*t = 5*x - 5495, -15*x = -2*t - 10*x + 2191. What are the prime factors of t?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 6*u + 363. Determine c(-64).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/160 and -3\/32?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -p**3\/7 - 67184*p**2 - 5643348*p\/7 - 16929936\/7 = 0.\nAnswer: -470276, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/8 of a kilometer?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 - 10*z**2 + 12*z - 12. Let h be k(9). Let m = 63 + h. Is 26 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.09213 + -3.90787. Put -4\/9, -0.2, -5, 2\/3, s in increasing order.\nAnswer: -5, s, -4\/9, -0.2, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -111 + -3?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 20 = x + i, 15 = x - 3*i. Suppose 9*t - 5*t = x. Suppose -7*v - 53 + 130 = t. Calculate the greatest common divisor of 88 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4091786?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 5) in base 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18.77 - 18.88. What is the nearest to 1\/3 in w, 0.5, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i - 4. Let t be p(3). Does 39 divide 115 + 5\/(5\/t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45800061.\nAnswer: 3, 23, 67, 9907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 12142.323 months?\nAnswer: 10.1186025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -61904\/1755 + 4928\/135. Let k = -29538 - -1536063\/52. Find the common denominator of p and k.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30218 - -1087919\/36. What is the common denominator of d and -53\/2724?\nAnswer: 8172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**3 - 347*i**2 - 882*i + 374. Give v(176).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000103989 to seven dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 884 - 884.2. Which is greater: c or 53\/6?\nAnswer: 53\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -5.5. Let x be (0 - -1)*(-4 - -2). Which is the closest to -0.1? (a) r (b) 3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - ((-9 - 0) + 18)) + -3 - 10.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 32, 32, 28, 20, 8, -8?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3 - 1\/3*m**3 + 1\/3*m + 2\/3*m**2.\nAnswer: -(m - 2)*(m - 1)*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -29*v**4 + v**2 - 273?\nAnswer: -116*v**3 + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 9, t: 7, a: 3}. What is prob of sequence ta?\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2*d - 3 - 4 = 0, -2*d = -4*p + 10. Let c(s) = -p + s**3 - 11*s**2 + 108*s - 94*s - 3. Is c(11) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -o**3\/3 - 11*o**2\/2 - 3. Let b be w(-11). Differentiate 3 + 3*l + 0*l + 2*l + b*l with respect to l.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/6 + (-98)\/(-42). Let q be (-13 + c)*(-5 - -4). Let m = -58 + 113. What is the highest common divisor of q and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -6 - (-51 + 77 + -71)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4588 = 11*k - 25301. What is the hundreds digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*(1 - 3)*(-27)\/(-12). Solve l = -2*l + z for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*c - 1511 = -4651 - 1060 for c.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 57*i - 4*i - 1408 + 719 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -52 + 47. Let l be ((-9)\/s + -1)\/((-18)\/(-1575)). Let b be -2 + 3 - (6 - l). Calculate the greatest common factor of b and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26781 and 21696?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w + 14. Calculate the remainder when 53 is divided by t(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 48, 89?\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 c when four letters picked without replacement from {d: 3, g: 1, c: 3, z: 3, r: 3}.\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6425, -6628, -6919, -7298?\nAnswer: -7765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 13 = -23. Calculate the remainder when 17 is divided by (o\/2)\/(2\/(-4)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 11 = -8*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 4*j + 64244 - 64260 = 0, 2*l + 4 = 4*j for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38 + -35. Suppose 0 = -2*o + c - 3, -c + 24 = 4*o + y*c. Solve 0 = 3*l + 8 + o for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -27*h + 108, v + 4*h + 0*h - 36 = -0*v - 0*v - 3*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 + 1)*(1 + 4 - 6)*(-c + 0*c + 2*c) to x*c + y and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*a + 5*a - 4*a - 1)*(2*a + a + a) as m + l*a**2 + z*a and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j = -6 + 38 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172 is divided by 92.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from szzrzvsszvsgszszrrzr. What is prob of sequence vr?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -230 + 1021003021?\nAnswer: 1021002131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j + 6. Let f be g(0). Suppose -3*d + 2*o = -1499992, -o + f*o = 20. What is d rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 2:41 PM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 0.2, -74\/5, -2?\nAnswer: -74\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -57 - -63. Let r(a) = 5*a - 1. Calculate the remainder when r(4) is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -114*a + 112*a. Find the third derivative of -2*b**3 + 2546*b**a - 2548*b**4 - 10*b**3 - b**2 + 21*b wrt b.\nAnswer: -48*b - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -4, -100.034?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5359 and 4429765477?\nAnswer: 5359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y**2 - 1596*y - 178360 = 0.\nAnswer: -91, 490","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*v**2 + 24*v**4 - 36*v**4 + 4*v**3 - 6*v + 4*v**5 - 2*v + 0*v**5.\nAnswer: 4*v*(v - 2)*(v - 1)**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6429*j - 6415*j = 0. Solve j = 129*l - 89*l - 160 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*b + 768 = 107*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 550 = 5*c, -6*c + 3*c = i - 330. What is the common denominator of (-10)\/8*(-2)\/(-25) and (-9)\/(-45) - (-303)\/c?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -5 - (33 - 43)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.887443239 rounded to 1 dp?\nAnswer: -3.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*t - 20*t. Suppose t + 4 = 2*n. Solve -7 = 3*c + n for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*v - 15048 = 78*v. Is 19 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c*m*n**2 - c*m*n - 19*c*m - 996*c*n + 18709646*n**2 - 125 wrt n?\nAnswer: -4*c*m + 37419292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39 - 23 - 47 - -22.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2 - 1885*y + 1884.\nAnswer: (y - 1884)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 6 = -3*w, w = 3*c + 4 - 14. Suppose -c*h + h = -84. What is the remainder when h is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71, -61, -51, -41, -31, -21?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -48895 (base 11) to base 6.\nAnswer: -1301220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.041 in -1\/4, 15, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 822*2\nAnswer: 1644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhrhrrrrrrh. What is prob of sequence hhhr?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3944*f**3*k**2 + 2*f**3*k + 72*f**3 - f**2*k**2 + 2*f - 147668*k**2 wrt f.\nAnswer: -23664*k**2 + 12*k + 432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttttvtvtt. Give prob of picking 3 t.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -175 divided by -5412123.\nAnswer: 175\/5412123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 30337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*5*(sqrt(143) - -2*sqrt(143))\/sqrt(11)*-2.\nAnswer: 180*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s - 18. Calculate z(6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**5 + 7*w**5 - 8*w**5 - 41 + 41 + 11*w**5 + (-w**2 + 3*w**2 + 0*w**2)*(w**3 - 2*w**2 + 2*w**2).\nAnswer: 10*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t**2 + 5*t**2 + t**2 - 6*t**2 + t**2.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 2:28 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 101\/1264398 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -133316 (base 9) to base 10\nAnswer: -81177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-90)\/4*1352\/24336.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 5*t - 16, o - 3*t - 24 = 4*o. Let r(p) = -7*p**2 - 5*p - 6. Let q(i) = -8*i**2 - 6*i - 7. Determine o*r(x) + 6*q(x).\nAnswer: x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3 - 145*y - 3 + 166*y - 1. Let s be i(1). Solve -f + s = -5*g, 4*f + 3*g + 2 = -33 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1438 is divided by 38.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6829802 to the power of 1\/2, to the nearest integer?\nAnswer: 2613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - (-14)\/6 - 0. Sort 2, 1\/7, -0.2, i in ascending order.\nAnswer: -0.2, 1\/7, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 234*v**3 - 7*v**2 + 13*v**2 - 230*v**3 - 6*v**2.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1024, -1035, -1062, -1111, -1188, -1299?\nAnswer: -1450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-242)\/330)\/(1\/15).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f**3 + 2*f**2 + 35*f + 87. Let s be a(-3). Solve 56*v + 2 = s*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -1\/2, -5, 3\/13?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2178255\/1001 - 23999\/11. Let a = -181105\/819 + m. Let q = 227 + a. What is the third smallest value in q, -3\/2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3134 - 3140. Let j(l) = -2*l**3 + 10*l**2 + 7*l + 7. Let b(c) = -c**3 + c**2 + 1. Let g(t) = 3*b(t) - j(t). Give g(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -410227843*r + 7080866 wrt r.\nAnswer: -410227843","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -29, -41, -59, -83, -113, -149?\n\"Answer: -3*o**2 - 3*o - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x**3 + 7*x**2 + x - 2. Let m be q(-3). Suppose -4*d + 102 = m*k - 5*k, -d - 2*k + 30 = 0. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/3 - 134542*x**2\/3 - 4524714656*x\/3 + 45260601760\/3.\nAnswer: -(x - 10)*(x + 67276)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f - 8*f - 67*f = -113050. Is f a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*p - 117 - 23 = 0 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w = 3*w - 52 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -38\/15 or -2?\nAnswer: -38\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*b - 53*b = 4*q - 4, 5*b - 23 = -2*q. Solve -2*w + g - 4 - q = 0, -4*g = -4*w - 16 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -62024 to the nearest one hundred.\nAnswer: -62000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -68\/183 and -26\/33.\nAnswer: 2013","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -0.06, -4\/7, 4, 0, 41\/14?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 10*w**2 - 2*w**2 - 5*w**2. Let a(c) = -5*c**2. Give u(a(x)).\nAnswer: 75*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47, -50, -53, -56, -59, -62?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2570*b**2 - 46*b**2 - 884*b**2 - 820*b**2.\nAnswer: 820*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -3 - (1 + -2)) + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 995*l - 52071 = 285*l - 311*l for l.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*z = -2*z - 91*z + 2387 for z.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 AM and 2:02 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 + 22. What is the third derivative of -8*d**3 + 7*d**2 + z*d**3 + 10*d**5 wrt d?\nAnswer: 600*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -7*q**2 + q - 2. Let u be 0\/(-2) + -15 + -3. Let i be 34\/9 - 4\/u. Let c be t(i). Round c to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3 = 5. Let i be 8\/(-60) - 94\/(-30). Solve c*h + q + 12 = 0, i*h = -h + 4*q - 12 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -1. Let p(o) = o**2 + o + 2. Let u be p(-1). Which is the nearest to 0.1? (a) y (b) u (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sw when two letters picked without replacement from {w: 18, s: 2}?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1368 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(20)*-1 + sqrt(5).\nAnswer: -sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91.87715 centuries to months.\nAnswer: 110252.58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -10171, -20348, -30525, -40702, -50879, -61056?\n\"Answer: -10177*g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 8.7806925.\nAnswer: -3.512277","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*i + 12*i + 72. What is the units digit of ((-10)\/i + 4)*94?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5670?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-104)\/(-22))\/1 + (-435)\/(-1595).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + -18. Let o = m + 15. What is the units digit of -1*o\/((-21)\/(-36))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) + -1*sqrt(110))*-6 - sqrt(110))\/(sqrt(70)\/(1*sqrt(7)))*-4.\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 442211?\nAnswer: 7, 11, 5743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 124850417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -48*z. Let k(d) = 215*d**2 + 3*d. Give k(p(c)).\nAnswer: 495360*c**2 - 144*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 8070.2 grams?\nAnswer: 0.0080702","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z + z + 4*z)*(-6*z + 0*z + 3*z) - z**2 + z - z + (0*z + 2*z + 0*z)*(-3*z - 3*z + 5*z) - 12*z**2 + 6*z**2 + 13*z**2.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000023737 to six dps.\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 AM and 5:23 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 5. Suppose -3*b = -i - 2. Let o(h) be the second derivative of 3*h**4\/4 - h**3\/6 - h. Calculate o(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 736 and 113888.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -5*h + 5*h + 3*h**2. Let k(f) = -27*f**2 + 24*f**2 + f**2. What is k(y(c))?\nAnswer: -18*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*sqrt(2736) - sqrt(2736)) + (sqrt(133)*2 + sqrt(133))\/sqrt(7) + -5*(sqrt(475)*2 + sqrt(475))*-2)*3)**2.\nAnswer: 1885275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k - 12. Let p be j(-8). Let q(l) = -l**3 + 7*l**2 - 7*l + 9. Let v be q(6). Solve -5*n - 25 = -0*x - v*x, 2*n + 10 = p*x for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-2)*(-15)\/6. Let y = a - 2. Suppose -40 = -s - y*s + 4*v, -3*s = 4*v - 58. Calculate the lowest common multiple of 18 and s.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - -4. Let w be (3 - 1)*1\/1. Suppose -w*d + 18 = -22. Solve -2*x + m*x + 4*n - 45 = 0, -d = -5*x + n for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 1147*o**2 - 6*o - 4. Let v be -1 + (-9)\/(-3) + (5 - 8). Is u(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 1234 = 3*q, -450*c + 446*c - 3*q = -4816. What is the least common multiple of 990 and c?\nAnswer: 10890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1021*q**2 + 1226*q + 205 = 0 for q.\nAnswer: -1, -205\/1021","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 52897 and 70425.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -5*r**5 + 945*r**2 + 36*r**3 - 980*r - 5*r**3 - 45*r**4 + 54*r**3 = 0?\nAnswer: -7, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-128)\/(-24))\/8)\/((-4)\/18)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -13427609, -26855227, -40282845, -53710463?\n\"Answer: -13427618*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 1\/312, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gh when two letters picked without replacement from lglglghghhlg?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*d - 23*d + 4 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -513558 divided by 6?\nAnswer: -85593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -908024, -907882, -907740, -907598, -907456, -907314?\nAnswer: -907172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/4)\/(20\/8)*-1.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of -137*n - 1\/60*n**5 + 2*n**2 + 1\/120*n**6 + 0 - 5\/24*n**4 - 1\/2*n**3. Determine h, given that z(h) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 67\/20 - 11\/4. Let v be ((-1)\/(-4))\/(6\/(-16)). Let r be -5*((-4)\/(-5))\/(-2). Which is the nearest to v? (a) k (b) r (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -66.99446 - -67. What is z rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 10. Let j = 47.1 - 44. Let i = j - a. Put -2\/9, i, 0.3 in descending order.\nAnswer: 0.3, i, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0034210537 rounded to 5 decimal places?\nAnswer: -0.00342","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/16098017?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 301828 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t + 76. Let v(r) = 5*r**2. Determine v(m(p)).\nAnswer: 20*p**2 - 1520*p + 28880","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*z**3 + 2697*z**2 + 114392*z wrt z?\nAnswer: 24*z + 5394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*(-2)\/(-4) + -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1\/7, -2, 3789, 2\/7, 2\/13, 2\/11, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2*a + 1 = 11, 3*p - 5*a - 26 = 0. Solve -p*l - 3*l = -20 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/5 - 92*n - 10580.\nAnswer: -(n + 230)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -15 (b) 0.5 (c) -3\/5 (d) 3 (e) 62\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**3 - 5*n**2 - 2*n**3 + 3*n**2)*(12*n + n - 3*n).\nAnswer: -40*n**4 - 20*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -90*u + 4947. Determine f(55).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 4*v**2 - 5*v - 15. Let x(c) = -c**2 - 17*c + 1047. Let r be x(25). Give o(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4492\/(-234707)*1*(-22)\/4?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1171030 and 210?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - 86*a**2 - 77*a + 857. What is the remainder when 21415 is divided by h(-85)?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of -v**4\/9 + 4*v**3 + 42*v - 2. What is l in b(l) = 0?\nAnswer: 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -22*j + 506. Let k be s(23). Let h(c) be the second derivative of k*c**3 - 1\/3*c**4 + 0*c**2 + 2*c + 0. Let n(v) = v. Calculate h(n(d)).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10984 (base 14) to base 12.\nAnswer: -1b3a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 265\/54 or 40.7?\nAnswer: 265\/54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (58*u + 49*u + 30*u)*(-5 - 1 + 0)*(-3*u**2 - 10*u + 10*u).\nAnswer: 2466*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143746 is divided by 389?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*d**3*h**2 + 8316*d**3*z**2 - d**2*h**2*z**2 - 579*d**2*h**2 - 3*d*h*z + 4*h**2*z**2 wrt d.\nAnswer: 24*h**2 + 49896*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7042 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of k**5\/25 + 2*k**4\/15 - 14*k**3\/15 + 8*k**2\/5 + k. Factor f(y).\nAnswer: 4*(y - 1)**2*(y + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - 3 - -2) + 4. Suppose -46 = -q*n + 317. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33134 is divided by 16565?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -4\/664688201?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*p - 2494 = -109*p + 422. Calculate the smallest common multiple of 474 and p.\nAnswer: 38394","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of 12*i**5\/5 + i**4\/12 - 4*i**3\/3 - 12*i. Find the second derivative of c(v) wrt v.\nAnswer: 288*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1600 and 2900.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 206 and 721257500.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -281*p = -287*p - 12 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2560.3 rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14045418?\nAnswer: 2, 3, 31, 25171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (15\/(-20))\/3 - 74\/(-8). What is the third biggest value in t, -2\/7, 2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 26180*n**2 + 22711*n**2 + 38*n - 38*n.\nAnswer: 48891*n**2 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -10272 times -12\nAnswer: 123264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = m - 4*m. Let j be 9\/(-6)*12\/m. Let l(z) = 8*z**2 - 4*z - 5. List the prime factors of l(j).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 188876.\nAnswer: 2, 23, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -4*z - o + 312, z - o = 86. List the prime factors of z.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 72823 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 0*c**2 + 0*c + 5\/3*c**3 + 5\/6*c**4 + 0 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190*q - 193*q = -t - 17, -54 = 2*q + 4*t for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 920*x**2 - 3*x. Let a(w) = -w. Give n(a(z)).\nAnswer: 920*z**2 + 3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of -181*p**6\/60 + 175*p**3\/3 - 278*p**2. Differentiate c(b) with respect to b.\nAnswer: -1086*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 12 = 2*k, -5*k + 2*j = -j - 31. Suppose -h = 3*i - 916 - 4459, 0 = 3*h - k*i - 16153. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/(-96)*-34 - (-10)\/(-12). Let p(r) be the first derivative of -15*r - 5\/4*r**4 + 8 - 5\/3*r**3 + 25\/2*r**c. Factor p(g).\nAnswer: -5*(g - 1)**2*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3209 * 1.\nAnswer: 3209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000082471 to six decimal places.\nAnswer: -0.000082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 AM and 9:54 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s - 17 = 18 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 129*b**2*c**3 + 15*b**2 + 2*b*c**3 - b + 19*c**3 + 33*c**2 wrt c?\nAnswer: 774*b**2 + 12*b + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 + 44*g + 77*g.\nAnswer: 121*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - 8. Let c = r + 9. Suppose 2*h - 70 = -3*w + 5*w, w + 2 = c. What is the remainder when h is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven quarters of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 204293406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (42 - 29) + (11 - 3 - (1 + 8 - 0))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -3*d**2 + 3*d - 14. Let y(q) = -q**2 + q - 7. Give -3*v(s) + 7*y(s).\nAnswer: 2*s**2 - 2*s - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (57\/(-133))\/((-5)\/5985)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-66)\/(-10) + 4\/10. Let h(t) = t**3 - 7*t**2 - t + 10. What are the prime factors of h(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -29 + 4. Let a be (-3)\/(-1) - (u - -3). Solve -2*b + a = 1 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 36642, -0.01?\nAnswer: 36642","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + 2. Let r(m) = 3*m + 24 - 2 - w*m + m**2. Is r(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 4 - 32 = 0. Let i be (-4)\/(-6)*(-3 + u). Solve 4*k - i = -3*q + 4*q, -20 = -5*k - 5*q for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2*s + 1838 = 0, 2046 = k + s + 212. What is the greatest common factor of k and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 - 2*o**2 + 13*o + 3. What are the prime factors of t(-6)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7959 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2617777 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -299*n - 2. Let s(f) = 33174*f. What is s(q(y))?\nAnswer: -9919026*y - 66348","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mcmmmammanncmcmm. Give prob of picking 2 a.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6437997\/32 or 201187?\nAnswer: 201187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**3\/a**(1\/5))\/(a**(-2\/9)\/(a\/a**(-5)*a)))**(2\/89) assuming a is positive.\nAnswer: a**(902\/4005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**(-6)*s))\/s)**(11\/2) assuming s is positive.\nAnswer: s**(55\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 99 - 456. Let w = t + 357.4. Let y = 7 + -7.6. Sort -1, -0.1, w, y in ascending order.\nAnswer: -1, y, -0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 4. Factor 5*y - 5*y**2 + s*y**2 - y**3 - 4*y.\nAnswer: -y*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -767 take away -22432?\nAnswer: 21665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.11, 137, 0.14?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 1:50 PM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-286)\/(-55) + (-12)\/(-15). What is the third derivative of -2*n**2 + 47*n**s - 42*n**5 + 21*n**5 + 23*n**5 - 109 wrt n?\nAnswer: 5640*n**3 + 120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13173473 (base 10) in base 3?\nAnswer: -220210021121102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*w + 16\/15*w**4 + 14\/15*w**3 + 4\/15*w**2 + 2\/5*w**5 + 0 = 0. What is w?\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 14*k. Let w(z) = -2752*z. Give t(w(o)).\nAnswer: -38528*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifteen quarters of a decade?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 4*k - 12 = 0, -3*w - k = -7*w + 3. Let v be 1\/(9\/6 - 1) + 0. Solve w = -v*n - 3*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 442\/(-515151)*-333 - ((-54)\/7)\/2?\nAnswer: 29\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 - -26. Let n be 38\/d*(4 - 0). Let p = 27 - n. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of f**7\/252 - f**6\/45 - f**5\/40 + 5*f**4\/36 + 2*f**3\/9 - 213*f - 120. Let s(v) be the first derivative of p(v). Factor s(h).\nAnswer: h*(h - 4)*(h - 2)*(h + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1420?\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 7 = 37. Let n = b + 2540. Let l = n - 15335\/6. Find the common denominator of -119\/12 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of -w**6\/360 - w**4\/8 - 2*w**3\/3 - 5*w**2. Let n(v) be the first derivative of j(v). Differentiate n(m) wrt m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppvv when four letters picked without replacement from {v: 17, p: 3}?\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3.078 from 4.\nAnswer: 0.922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18706 + 18713. Solve 0 = a*n + 48 - 69 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/4 - (-5)\/15 and -40\/21?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 3*u - 6, u + 2 = 2*u - w. Let g = 6 - u. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 3 + 63 = 0. Is a a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -92*p**2. Let l(w) = -479*w. Calculate l(c(b)).\nAnswer: 44068*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31194 is divided by 14882?\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (262 - 418)*1*(-5)\/60?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 - (46 + 62 - 42).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3 or -8.3?\nAnswer: -8.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 53956235 to the power of 1\/3, to the nearest integer?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -365 + 367. Suppose 3*h - 5400003 = -a, 0 = h - k*a - 0*a - 1799994. What is h rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000009004803 rounded to 6 dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 16) in base 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17445.2 + 17447.2. Let v be 353\/72 + 4\/18. Let t = v + -11\/2. Put m, t, 5 in increasing order.\nAnswer: t, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-1 + sqrt(1300))**2 - (sqrt(832) + sqrt(832)*2)**2 - (sqrt(52)\/(sqrt(12)\/sqrt(3)) + -2)) + -4.\nAnswer: -6184 - 21*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43864783?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(2\/(-12))*(-588)\/(-47628)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of -z**6\/360 - z**5\/20 + 3*z**4\/8 + 11*z**3 + 15. Let l(s) be the third derivative of k(s). Determine l(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 30, -50, -4, 0.18?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*b**2*d**2*i**2 - 8105*b**2*d**2*i + 5*b**2*d - 3*b*d*i**2 - 648*b + d*i - d wrt d?\nAnswer: -10*b**2*i**2 - 16210*b**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -32 - 43 - 43 + 160 - 41. Let d(j) = -9*j + 2. Determine d(v) - 4*z(v).\nAnswer: -9*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = 26 + 9. Let y = 17.5 + -21.5. Put y, -3\/7, -0.01, q in increasing order.\nAnswer: y, -3\/7, -0.01, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 3:43 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-3\/10)*a)\/a*a\/(a*a\/(a*a*a**(-4\/9)\/a))*(a*a*((a**(-2\/7)*a*a)\/a)\/a)\/(a\/a**(-4)))**13 assuming a is positive.\nAnswer: a**(-33007\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 979329435 to the nearest integer?\nAnswer: 993","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**9*a**(2\/3))**5*(a**(-4\/9)*a**(1\/9))**35 assuming a is positive.\nAnswer: a**(110\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10470 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 - 21*p**2 + 53*p. Determine r(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1998 - 1998 - a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -91, -96, -101?\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(1*(-5)\/(-15)). Let i(n) = -367*n + 80. Is i(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 637 + -636. What is the closest to 0.2 in 48, a, -2\/15, 4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of 0*c**4 + 0*c**3 + 0*c**5 + 0*c**2 + 13*c - 1\/28*c**7 + 0 + 1\/20*c**6. Let k(y) = 0. Calculate y.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/7 (b) 653629 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42 + -40. Let l = -822 - -832. Solve -3*g = 2*q, g = -z*q + 3*g + l for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 6:02 PM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*u**3 - u**3 + u**3)*(0 + 9 - 2)*(-5 + 5 + 2)*(-u - 5 + 5) - 1 + 1 - 3*u**4 as y*u + q + t*u**3 + h*u**4 + o*u**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 137934 and 6111?\nAnswer: 873","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3\/5 - 654*o**2\/5 - 71286*o\/5 - 2590058\/5.\nAnswer: -2*(o + 109)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 499 is divided by 72.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -39225 - -2?\nAnswer: -39223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 72871479817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.47 + -92847918793.\nAnswer: -92847918792.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 - 12*r - 29. Let j be z(14). Suppose s = -3*n, 2*s - 10 = n - 2*n. Let h(x) = -x**2 + 7*x - 4. Let c be h(s). Put -0.4, j, c in ascending order.\nAnswer: j, -0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -132 - -172. What is the greatest common divisor of 30 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10058829*f**2*r**2 - 3*f**2 + 432*f*r - 29*f + r + 6 wrt r.\nAnswer: 20117658*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16654 = 212*n - 6902 for n.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 5, 78\/19, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = 8*d - 2332. Let h = d - 11. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 19480 or -37612?\nAnswer: 19480","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 14. Suppose 5*h - p = 15. Suppose -2*w + h + 2 = 0. Solve -w*n = -2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/4906 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -161629446, -323258890, -484888334?\nAnswer: -646517778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27 and 15?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30) - sqrt(360)\/(sqrt(12)*-2) - sqrt(30))\/((sqrt(66)*-1 - sqrt(66))\/sqrt(11)))**2.\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35212 + -34918.11. Let q = -291 + z. Let w = 0.11 + q. Is 2\/9 <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 1556 + 534. List the prime factors of m.\nAnswer: 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a century?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -4*o - 8, i - 12 = 2*o - 2. Find the first derivative of i*k**2 + 0*k + 11 - 10 + 0*k wrt k.\nAnswer: 8*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -4 + -25 + (-6 + 14 - -5)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7597 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 5 - (-4 - -5 - -4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00745210779 rounded to five dps?\nAnswer: -0.00745","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 123950836812 - -7.093\nAnswer: 123950836819.093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t**2 - 21*t + 4. Let y be l(7). Find the second derivative of y - 8*f**2 + 4*f**2 + 2*f - 6*f**2 + 2 wrt f.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 7 = 4*y - 3*y, g + 28 = 4*y. Suppose p - 48 = -y. Is p a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmkm when four letters picked without replacement from mmmmmmmmkmkm.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -253*t = -5*q - 255*t + 33989, 3*q - 20385 = 3*t. Calculate the greatest common divisor of q and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14845 = -4*l + 14797 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 33 from -16075048588.\nAnswer: -16075048621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 25 = 5*w, -2*c = -w - 6 - 1. Suppose -j = -s - 6*j + 7, c*s = -5*j + 28. Let b = 10 - s. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -4*j**3 - j**2 - j. Let b be y(-1). What is the common denominator of 29\/3 and b - (3 - 156\/40)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 10) in base 8?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3000700?\nAnswer: 2, 5, 37, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 415 and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rvq when three letters picked without replacement from qacacqrvqrqa.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(7920) - sqrt(55))\/(sqrt(45)\/(sqrt(9)*1)) + ((sqrt(110) + 6*-2*sqrt(110))\/sqrt(10) - (sqrt(352)*-1)\/sqrt(2)).\nAnswer: -32*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -299\/4 - -75. What is the closest to 2 in k, -3\/2, -2, 13?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -634 and 933.\nAnswer: -591522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, 42, -7, -36 in decreasing order.\nAnswer: 42, 5, -3, -7, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1775.\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -7*n + 43. Suppose -z + 2 = 0, n*b - 31 = 4*b - z. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - 1254?\nAnswer: -1256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -0.5 (b) 3\/196 (c) 2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 3*n - 6*f + 21, -2*n - 14 = -6*f for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24 * -3.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68843133 divided by -9.\nAnswer: 7649237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2700 - 2699.5. What is the second smallest value in d, -5, -2\/7, 26?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*1)\/sqrt(9) - (sqrt(133)*1)\/sqrt(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 * 0.59\nAnswer: -0.0118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**2 + 14*s + 19. Let o be u(8). Put o, -2, 2 in decreasing order.\nAnswer: o, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/12*1\/18\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -143\/49, -5, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*55\/(-33)*3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 15*u = -17*u - 14*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.21*1.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1143*u**3 - 702*u**2 + 702*u**2 - 1509*u**3 + 3260*u**3.\nAnswer: 608*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (992\/40)\/(4\/20). Let j be -80*-1*(-15)\/(-10). Let w = o - j. Solve -v - 4 = -2*y, -v = 4*y + w - 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 11, g: 5}. Give prob of sequence kkg.\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*h**3 + 80992*h**2 - 101*h - 13056250 wrt h.\nAnswer: 6*h**2 + 161984*h - 101","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 + 17*x**2 - 15*x + 59. Let i be k(-18). Calculate the remainder when (i - 7)\/1*(-85)\/2 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 23 = -g, 4*g + 4*s = -s + 152. Find j, given that -49 - g + 16*j**2 - 4*j**3 + 92 = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 300 and 9060.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 432227 (base 8) to base 13.\nAnswer: 50a31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -222425404 to the nearest 1000000.\nAnswer: -222000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + (-1 - -2) + 1. Let k(s) = -4*s + 0*s - v - 3*s. Does 9 divide k(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/12 + (-34)\/12. Let c = -2 - b. Which is bigger: c or 2\/11?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430002.4g in milligrams?\nAnswer: 430002400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -18 + (-74 - (-51 - 19))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(275))**2*6.\nAnswer: 3300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1584)*-2*3.\nAnswer: -72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/24)\/y)**35\/(y*y*y\/y**(2\/27))**(-1\/7))**(-27) assuming y is positive.\nAnswer: y**(50083\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 30668.56l?\nAnswer: 30668560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.211917 + -0.611917. Let u = 0 - 0.1. Let f = 1.9 - -0.1. What is the second biggest value in u, f, 0.2, r?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, v: 1, l: 2, w: 1, b: 1, t: 1}. Give prob of sequence tbvh.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -60 - -296. Suppose -5*f + 4*x + 545 = 0, 2*f - x - k = -3*x. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -102 - -103. Let j be (-3 - -6 - h) + 2 - 0. Suppose -a = -5*f + 3*a + 958, -3*f = j*a - 562. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 5*k - 37018 = 0, 3*i - 27773 = 32*k - 33*k. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13287.8 hours to microseconds.\nAnswer: 47836080000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**3 - 6*a - 11523*a**2 + 11522*a**2 + 75*a**3.\nAnswer: 72*a**3 - a**2 - 6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = 58 + 8. Let k = m + -9. Suppose k*u + 0*u = 3*t - 6, -5*u = 0. Solve -2*n + g = t*n - 9, -3*n + 5*g = -28 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54, 144, 232, 318, 402, 484, 564?\nAnswer: 642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37 - 113\/3. Let i = -59219\/3 - -461179\/24. Let d = i - -523. Sort 0.2, j, 4, d in increasing order.\nAnswer: d, j, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -71378 in -3, 0.5, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 6*z**2 - 2*z + 12. Let y be b(6). Let m(c) be the first derivative of 3 - c**2 + 4\/3*c**3 + y*c. What is the second derivative of m(i) wrt i?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/17, -0.1, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -1 - 0) + 532\/(-190)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y**2 + 7*y + 25. Let i be f(6). Sort -37, -4, i in decreasing order.\nAnswer: -4, i, -37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1426879349, -2853758698, -4280638047, -5707517396?\n\"Answer: -1426879349*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11693\/2010 + -10\/67. What is the common denominator of 11 + 1900\/(-180) - (-88)\/(-54) and o?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 15\/7 - 27\/7*c - 6\/7*c**2 - 9\/7*c**4 + 30\/7*c**3 - 3\/7*c**5 = 0.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z + 8. Let o be k(5). Let r = 1 - o. Suppose -r*d - d = -76. Calculate the remainder when 34 is divided by d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 353 - 248. Let n(q) = -12*q**2 + 10*q + 7*q**3 - 5*q**3 - 3*q**3 - 21. What is the remainder when f is divided by n(-13)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/((-6)\/(-14)) + (-7021)\/177)*-3. What is the highest common factor of j and 6272?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*s = -2489 - 38188. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 965766 and 91110?\nAnswer: 4828830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -16*c**2 - 2*c - 3. Calculate d(-1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -33*l**3 + 2*l + 1. Let n be w(-1). Suppose -10*d - 2 = -n. Suppose 4*m = 5*v + 379, -d*m + 5*v - 2*v + 285 = 0. Is m a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 19, 80, 183, 328?\n\"Answer: 21*k**2 - 2*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -24891*l - 19576 wrt l.\nAnswer: -24891","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10a (base 11) to base 7.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -43 + 49. Suppose -3*w - 13 + g = t, 2*t = w + 7. Solve 3*b - 20 = -t*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of -3058*q**3\/3 - 2773*q + 2268. What is the derivative of d(m) wrt m?\nAnswer: -6116*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10268*c = -1207*c + 262769 for c.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3139051529 to the nearest integer?\nAnswer: 56027","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 5*d + q = -5, 4*d + 3*q - 5 = 0. Let z(v) = d - 2 + v + 0. Let f(b) = -4*b**2. What is f(z(o))?\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 4*x + 13 - 29, -3*c = 3*x + 18. Let h(d) = -d**3 - d + 2. Let i(v) = -v**3 + 3*v**2 - 6*v + 4. Let k(j) = c*i(j) + 2*h(j). Factor k(n).\nAnswer: -n*(n - 1)*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-80)\/4*12\/(-15). Let z be 348\/(-32) - (-1)\/(-8). Let u(w) = -w**2 - 11*w + 5. Let i be u(z). Solve -i*n - d = 9 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 2:39 PM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5321, -10640, -15957, -21272, -26585, -31896?\n\"Answer: x**2 - 5322*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 11243?\nAnswer: -11301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190) + ((sqrt(190) + 2*sqrt(190) + sqrt(190))*-5 - sqrt(190)) - sqrt(190))*-5)\/((sqrt(3630)*-3)\/sqrt(3)).\nAnswer: -35*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 35 (base 7) to base 5\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/10 + (-69)\/(-45) + (-10)\/((-660)\/4334).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -522521, -0.4 in increasing order.\nAnswer: -522521, -4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -204.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 176462 to the power of 1\/2, to the nearest integer?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -5*d**2. Determine o(-2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2323712 + 0.3.\nAnswer: -2323711.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -344 and -5.\nAnswer: 1720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -133*h - 1081. Give d(-9).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 32, -1 in increasing order.\nAnswer: -1, 2, 3, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 101 + 75. List the prime factors of q.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of -o**4\/24 + 43*o**3\/6 - 2*o**2. Let u(i) = 9*i + 170. Let m be u(-21). Does 21 divide t(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44 - (20 - 31 - (10 - 4))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.052 - 0.748. What is the closest to v in -10, -0.2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -265.41 to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 + 6*x - 5. Let o be h(4). Let m = 35872 + -35821. What is the greatest common factor of o and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37 + -36.93. What is v rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -9. Let j be 5*(2 + (-1 - 0)). What is the third smallest value in t, j, 3\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) - (sqrt(108)*-1 + sqrt(108) + sqrt(108)))*-4*-5)\/((6*sqrt(216))\/(sqrt(441)*2)) + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1831 - 1834. Let p = -0.3 + 0.1. Which is the fourth biggest value? (a) 0.5 (b) p (c) 0.1 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1046686?\nAnswer: 2, 103, 5081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.7 in -0.1, -4, 14\/131?\nAnswer: 14\/131","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 3*i + 22 = 0, v - 8*i - 16 = 11 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-674)\/(-6) + (-8)\/168*-14 + -1. Solve 6*m + s - 154 = 0 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 5*w = 4969, 26*w - 27*w + 2 = 0. Is d a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of u**5\/24 + 4*u**3\/3 - 5*u. Let l(j) be the second derivative of a(j). Let i(f) = f**2. Determine i(l(w)).\nAnswer: 25*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 72 + -45. Calculate the remainder when 79 is divided by j.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 37181628 to the nearest 10000.\nAnswer: 37180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -41*q**3 + 777*q**2 + 40*q - 35. Give d(19).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qnq when three letters picked without replacement from qqcnqqqnqccnqnqcqnn.\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.29 in -4, 1\/7, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15612*h + 4*o = -15622*h + 60 + 20, 0*o + 3*o = -2*h + 5 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(26)*-1)\/sqrt(2))**2 + -3.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*h - 10*h - h**2 + 4*h + 3*h**2 to the form l*h**2 + y*h + r and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/10*2*(-12)\/12.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - -24?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 2*u - 1 = 0, 4*u = -0*u - 16 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five thirds of a week in hours?\nAnswer: 3080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a + 660 = 210. Is a < 46?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -515, -771, -1029, -1289, -1551?\nAnswer: -1815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00646817 rounded to 5 dps?\nAnswer: -0.00647","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + -17 + (492\/(-42) - -4).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 69.6\nAnswer: 6.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -10*u + 36. Solve 5*h + 12 = -u for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9613 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -9, -3, 14661, 0.1 in decreasing order.\nAnswer: 14661, 0.1, -1\/3, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 PM and 8:35 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 294 and 1882940.\nAnswer: 276792180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w + 180 = 3*w. Let z be -2 - (w\/(-5))\/(-3). Let c = -0.8 - -0.3. Put 0.1, c, z in decreasing order.\nAnswer: z, 0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/2*((-6)\/(-18))\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - g - 6 = -8, -2*g - 6 = -w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25\/2*(-33)\/15*-4.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a. Let n be z(1). What is the tens digit of 29\/2 + n\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.054, 1, -2\/5, 6\/11, -113, -3\/2?\nAnswer: -113","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/5 of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 12:36 PM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 32330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r + 26*r - 40 = 5. Let g(f) be the first derivative of f**3 - 4*f + 1\/5*f**5 + 5\/2*f**2 + r - 5\/4*f**4. Determine h so that g(h) = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -835.1446.\nAnswer: -4175.723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**3 - 2*k**3 + 2*k**3 + (0*k + 0*k + k)*(-k + 2*k**2 + k) - 21*k**3 - 170*k**2 + 170*k**2 as f*k + i*k**3 + w + g*k**2 and give i.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*(-2)\/20 - 25\/125. Solve w - 2\/7*y**2 + 0*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a meter in centimeters?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/1494027 and 121\/252?\nAnswer: 41832756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -275, -899, -1937, -3395, -5279, -7595, -10349?\nAnswer: -13547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/834 and -17\/21684.\nAnswer: 21684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 90 = 3*n - 61, n = 3*h + 69. Let g(r) = -4*r + 3. What is the remainder when n is divided by g(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 8, h: 7, n: 3}. Give prob of sequence hb.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 239556 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o**2 + 14*o - 1. Let g(y) = -y**2 + 14*y - 6. Let f(u) = -3*u + 2. Let k(j) = 3*f(j) + g(j). What is 11*k(a) - 4*l(a)?\nAnswer: -3*a**2 - a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -4*b**3 - 3*b**2 - 2*b - 1. Is 33 a factor of o(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1688220997041 - 176932.7512065002959. Let d = -176934.82 - n. Let g = -1.9 - d. What is g rounded to six decimal places?\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 375731 is divided by 25.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 18962 = -33*q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -5. Let r = -10 - -10. Suppose 0 = 6*n + 143 - 119. Sort r, n, p.\nAnswer: n, r, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of k**6\/960 + k**5\/480 - k**4\/96 + 887*k**2. Factor t(r).\nAnswer: r*(r - 1)*(r + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7225*f**5\/8 + 189591055*f**4\/8 + 1322395831*f**3\/8 + 1864212581*f**2\/8 - 5551769*f + 65585\/2 = 0. What is f?\nAnswer: -26234, -5, -2, 1\/85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) -11\/3 (b) 0.644 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1753417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-4)*(-6)\/18?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/64 and -93\/39136.\nAnswer: 78272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 20*r**2 - 18*r + 6. Let o(i) be the third derivative of i**5\/60 - i**4\/24 + 3*i**2. Let f(c) = 2*b(c) - 44*o(c). Factor f(s).\nAnswer: -4*(s - 3)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) -428 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, w: 1, d: 6, s: 3, h: 3}. Give prob of sequence hs.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12725 + 12742. Calculate the highest common divisor of 2771 and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that a**5\/6 + 1657039*a**4\/6 - 6628177*a**3\/3 + 6075835*a**2 - 13256373*a\/2 + 4971141\/2 = 0.\nAnswer: -1657047, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 50 = 3*j. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 73*x**2 - 2*x - 1. Let d be u(-1). Suppose -4*j = 2*j - 210. Let n = j - d. Round n to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 9) in base 2?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) -3\/7 (c) -129\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 71986, 143957, 215924, 287887, 359846, 431801, 503752?\n\"Answer: -2*k**2 + 71977*k + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 68 = p. Let n(y) be the first derivative of -y**3\/3 - 15*y**2\/2 + 30*y - 12. Calculate the remainder when n(-15) is divided by p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 21\/4, 1\/2, 5 in decreasing order.\nAnswer: 21\/4, 5, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**2 - 4*b**2 + 4*b**2 + (-2*b + 0*b + 0*b)*(0*b - b + 3*b) + b**2 - 5*b**2 - b**2 + (3 - b - 3)*(b + 0*b + b).\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, e: 19}. What is prob of picking 2 e?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - 111110120112?\nAnswer: -111110120120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -247 - -755. Let x = k - 502. Let f = -0.07 + 0.01. Which is bigger: x or f?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -1\/5 (c) 5 (d) 74 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -21, -0.2, -0.02 in ascending order.\nAnswer: -21, -0.5, -0.2, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (3\/2)\/(7\/322) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 186*b + 8000. Let d be v(-43). Determine t so that 0*t**d - 5\/3*t**3 + 0*t + 5\/3*t**4 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0017037 rounded to 4 dps?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 14 - (13 - 41 - -76)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 3*s**2. Let t(j) = -6872902*j**2. Calculate b(t(n)).\nAnswer: 141710345704812*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3\/17 - 298*n**2\/17 - 908*n\/17 - 608\/17.\nAnswer: 2*(n - 152)*(n + 1)*(n + 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*b + 0*b + 146*b**2 + 145*b**2)*(3 - 1 - 9) in the form f*b**2 + j + w*b and give f.\nAnswer: -2037","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p - 8 = -10*p. Suppose 7 = 4*y - 0*y + n, -p*n - 4 = 0. Let d(z) = -2*z**y + 3*z**2 + 49*z - 49*z. Let s(c) = 9*c. Calculate d(s(x)).\nAnswer: 81*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + 29*r**2 + 30*r + 56. Let s be d(-28). Let l(q) = -q + 12. Let k be l(s). Is k at least as big as -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of -5*a**3\/3 - 55*a**2\/2 - 50*a + 56. Find f, given that p(f) = 0.\nAnswer: -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 6*g**3 - 7*g**2 - 5*g + 6. Let y(z) = -5*z**3 + 7*z**2 + 4*z - 5. Let a(s) = 4*x(s) + 5*y(s). What is a(7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(896)*3 + sqrt(896) + sqrt(896) - sqrt(896))\/(sqrt(288)*3).\nAnswer: 8*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 387556441 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2229, 2306, 2369, 2412, 2429, 2414, 2361?\nAnswer: 2264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 53*k**2 - 241*k + 52. What is p(48)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 18901\/(-2952) - (-5)\/40 and 53\/177.\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -10 + 1. Let l(r) = r + u*r + 6 - r + r. Let n(q) = -176 + 2*q + 92 + 2*q + 89. Calculate 6*l(y) - 7*n(y).\nAnswer: -4*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50.91967*-2.3.\nAnswer: -117.115241","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of -k**4\/12 - 8*k**3\/3 - 13*k**2. Let r be o(-9). Let d(n) = -19*n**r + 37*n**2 - 20*n**2. Let l(q) = -q**2. Calculate l(d(i)).\nAnswer: -4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 7*g**2 - 3*g - 13. Let n(c) = -c**2 + c. Let r(f) = 6*n(f) + s(f). List the prime factors of r(-7).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 58235206*k**3 - 47120309*k**2 wrt k.\nAnswer: 349411236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/(-90)*21\/28)\/(4\/30)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 6*u**2 + 6. Let b(a) = 1. Let w be ((-7)\/8 - 0) + (-2)\/16. Let o(k) = w*f(k) + 8*b(k). Let r(s) = 2*s. Give r(o(p)).\nAnswer: -12*p**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 1 + (-309 - -306).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 1:19 PM?\nAnswer: 11:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 168139 and 3601?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73731716.\nAnswer: 2, 139, 132611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) -4\/3 (c) -0.4023\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**4\/3 + 462962*c**3\/3 - 11907485520*c**2 + 306268465795200*c - 306256558464000.\nAnswer: -2*(c - 77160)**3*(c - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 150665 (base 7) in base 5?\nAnswer: 1413103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 21 = -55. Let o be 168\/18*(-1 - 2). Let n = m - o. Is n a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 83*x**2 + 85*x - 592. Let g be o(133). What is g rounded to the nearest one hundred thousand?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4098 - 36832\/9. Which is the nearest to -0.1? (a) w (b) -1 (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/6, -0.01, -15, -8, 1\/5, -5, 4\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, 0, 33, 1718 in descending order.\nAnswer: 1718, 33, 3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6371499121?\nAnswer: 13, 19, 929, 27767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do 658 and 657 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 259? (a) 4 (b) -4\/29 (c) 80\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 3919.504 to the nearest 10.\nAnswer: 3920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 275, 231, 185, 137, 87?\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4a (base 15) to base 13.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 105 and 122610.\nAnswer: 858270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/60 and -3\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1535141*a**2*d*x**2 - 17*a**2*x + 16*a*d + 148*a*x wrt x.\nAnswer: -3070282*a**2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1054 and -270.\nAnswer: 784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.03885 + -0.33885. Let v be 6\/28 - (-1)\/(-2). What is the nearest to v in -6, 0.5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50 is divided by 34?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -3326*t - 2132. Is r(-16) a multiple of 172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 2*h**2 + 2*h - 3. Let r be 8*1\/(-3)*3. Let m = r + 5. What is o(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29923574 take away 26.7811?\nAnswer: 29923547.2189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/(-14) - 12\/(-42). Let n = r - -5. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 + 21. Suppose 4*v = 2*v + 12. Let a be 6\/(-9) - 14\/v. Sort -5, a, o in ascending order.\nAnswer: -5, a, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of -s**7\/42 + 831*s**5\/20 - 5*s**4\/12 + 43*s**3\/6 - s**2\/2 + 986*s. What is the third derivative of q(m) wrt m?\nAnswer: -60*m**2 + 4986","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (0 + -1 + (-2 - -6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/10? (a) -2.07 (b) 0.071 (c) -0.5 (d) -2\/7 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -5*t - 4. Let s(y) = 1. What is h(n) + 4*s(n)?\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1851.447 hours in milliseconds?\nAnswer: 6665209200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - (63 + -6)) + 28 + (-1 - -27).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 170918645 a multiple of 149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1033677536 to the power of 1\/3, to the nearest integer?\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9026, 9000, 8974, 8948, 8922?\nAnswer: 8896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 45062047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 57*s + 60*s - 3*s**2 - 117*s. Let q(r) = -14*r - 4 - 6 - 6*r + 10. Determine q(h(o)).\nAnswer: 60*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**4 + 3 - 3 - 62*q**4 + 12*q**4 + 448*q**4 + 2*q**4 - 4*q**4 + 4*q**4 + (q**2 - 3*q + 3*q)*(q**2 + 0*q**2 + 0*q**2) + 2*q + 4*q - 4*q**3 + q**4 - 4*q.\nAnswer: 404*q**4 - 4*q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*i - 4754*i**2 + 0*i + 4752*i**2.\nAnswer: -2*i**2 - 13*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -n - 20684, 0 = -4*n + n - 6. What are the prime factors of u?\nAnswer: 3, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -37410.7?\nAnswer: 149642.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6.3? (a) -2\/5 (b) -0.182 (c) 9 (d) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 37306 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3189*k**2 - 2 - 2*k**3 - 2063*k**2 - 1618*k**2.\nAnswer: -2*k**3 - 492*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -161397017014692 - 0.4.\nAnswer: -161397017014692.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m + m - m**3 + 3*m + 0*m**3. Suppose 0 + 2 = q. Suppose 5*j + 19 = b, 0 = -j - q - 3. Let l(c) = -c**3 + 5*c. Give b*l(g) + 5*a(g).\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -60858 + 108245. What is the ten thousands digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((0\/(-2))\/1)\/(18\/9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 426.111us to milliseconds.\nAnswer: 0.426111","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 10, w: 2, e: 3, q: 2, z: 2}. What is prob of sequence qzel?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = 17 + 127. Suppose x = -6*q + q + f, -4*x + 50 = -3*q. Suppose -15*o + 504 = -11*o - t, -3*t = 0. What is the greatest common divisor of x and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -9*s**2 - 4*s. Let g(p) = -18*p**2 - 9*p + 1. What is 2*g(t) - 5*x(t)?\nAnswer: 9*t**2 + 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h + 1014. Let s(p) = 1558*p - 779*p + 0 + 0 - 781*p. What is s(d(a))?\nAnswer: -2*a - 2028","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, g: 1, v: 1, b: 5, m: 1}. Give prob of picking 1 v, 1 g, and 1 m.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r = -10*r + 6. Suppose -w + 0*w = 2*s - 4, r*s + w - 7 = 0. Solve 6 = s*j - 6 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-14)\/(-10) - (-646)\/85. Solve 8*f + 1 = x*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9.509 - -4552.509. Let c = -4542.996441 + q. Round c to 4 dps.\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*s = 266*s + 456 + 2260 - 406 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2110 (base 9) in base 8?\nAnswer: -3014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32 + -31.8. What is the third smallest value in z, 2\/7, 0.1, 1\/3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -682 - -681.406. Let s = f + 0.794. Which is the closest to 3? (a) -3\/11 (b) 2\/5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 20 = -s - 3*s, n - 3*s + 15 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h - 12. Let r be z(6). Suppose 3*i - 4*l = -r*i + 153, 0 = 5*i + l - 278. What is the remainder when i is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/4853 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.98 - 0.02. Let v = -2.4 - g. Suppose 0 = -0*i - 2*i + 10. Which is the third smallest value? (a) v (b) 0 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155517 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -32\/11 or -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43*s**3 - 27*s**3 + 34*s**3)*(5 - 1 - 5).\nAnswer: -50*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 226 = -216 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -137 + (-44 - -5 - -228)\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1637, 986\/11, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l**2 + 3*l + 31. Determine u(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 7:40 PM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4831346117 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 16) to base 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 32504982 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1355142 rounded to 4 decimal places?\nAnswer: -0.1355","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, 2, 126, 4, 17 in descending order.\nAnswer: 126, 17, 4, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(133) - (-3*sqrt(133) - sqrt(133))))\/(-1*sqrt(7)*3))**2 + (3 + (sqrt(2299) - -3*(sqrt(2299) - (0 + sqrt(2299)))))*-4.\nAnswer: -44*sqrt(19) + 1792\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -221? (a) -2 (b) -2\/5 (c) 0.05 (d) 0 (e) -18\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 6*p + 59 = 0, -10 = i - 10689*p + 10688*p for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.95 + -1.39. Let j = w - -1.94. Sort 11, -0.5, j, 3\/7 in increasing order.\nAnswer: -0.5, j, 3\/7, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 + -14. Let c be (27\/(-18))\/(o\/8). List the prime factors of c\/(-18) + 6219\/81.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-28)\/(-8))\/((-3)\/(-2)). Which is greater: 2 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/4 and -12\/11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -s - 4, 4*s + 0*s = -3*b - 16. Let t be 4\/(15\/25*s\/6). Is ((-218)\/t)\/((-32)\/(-10) - 3) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/1)\/((-14)\/28*10)*25?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1*((-2)\/(-10))\/(16\/(-20))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 59101970?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -4 (b) -3\/4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(2\/(-10) - (-26768)\/133490) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3476*b**2 - 1872*b**2 - 1738*b**2 - 12*b + 5203 wrt b?\nAnswer: -268*b - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kq when two letters picked without replacement from jsvfvqkssksvvvskk.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/78)\/(131\/(-1703)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 122 and 305?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -265*x + 394 = -462*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 10*p + 330. What is the remainder when p is divided by 0 + 1 - (-2 + -12 + -5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19.47 - 0.47. Let f = r - 11. Let g = f - 7.982. What is g rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13345, -46516, -99495, -172276, -264853, -377220?\nAnswer: -509371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -66 - -40. Let f = -26.0013 - n. Round f to 4 dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34\/(-4)*(-16)\/8 is divided by (2 + (-2)\/(-2))*3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*l**2 + 61*l**3 + 4*l**2)*(-21 + 4*l - 6*l + 4*l) as q*l**3 + f*l + a + r*l**4 + c*l**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 5*h - 3*n, -39*n + 10 = 4*h - 34*n for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 657227 or 657230?\nAnswer: 657230","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7497247*q**3 - q + 3006174 wrt q.\nAnswer: -44983482*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of m**5\/90 - 5*m**4\/12 + 14*m**3\/9 + 783*m**2. Suppose f(x) = 0. Calculate x.\nAnswer: 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) + (sqrt(99) + sqrt(99)*4)*-2 + sqrt(99))*4)\/(-5*(sqrt(900) - -4*sqrt(900)) + sqrt(900) + sqrt(900)).\nAnswer: 16*sqrt(11)\/115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 - 22*l**2 - 45*l - 24. Let g be n(-20). Let v(s) = -4*s + 10*s + s + g - 14*s + 5*s. Let j(y) = -4*y. Give v(j(c)).\nAnswer: 8*c + 76","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5\/1)\/((-3)\/3). Let c be 2\/p*-5 + -700002. Round c to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 24 = u, -u + i = u - 12. Suppose -u*w = -9*w + 25. Suppose 0 = -5*r - 3*s - s + 11, 0 = -w*s - 5. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 13, 3, -1, 0 in decreasing order.\nAnswer: 13, 3, 0.5, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-22)*h)\/(h\/(h*h**(1\/30)\/h*h*h)))\/((h\/(h**(-10\/7)*h))\/(h\/(h*h\/(h**(1\/2)\/h)))) assuming h is positive.\nAnswer: h**(-2404\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - s**2 + 4*s - 6. Let p be x(-3). Suppose 0 = i + 3*a - p + 17, 4*i + 8 = 3*a. Suppose -2*m + 3*m = 2. Sort -17, m, i in decreasing order.\nAnswer: m, i, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 5 + 1 - -111*(-70)\/21*-39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(1372) + (sqrt(1372) + sqrt(1372) + -1 - sqrt(1372) - sqrt(1372)).\nAnswer: -3 + 14*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2345173.\nAnswer: 307, 7639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/5))**(2\/11)*(l*l**1*l)**(-1\/49) assuming l is positive.\nAnswer: l**(31\/2695)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n - 2. Calculate o(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30605 divided by -914.\nAnswer: 30605\/914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30572954*y**2 + 2*y + 1613290 wrt y.\nAnswer: 61145908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-96)\/(6\/1))\/(4\/(-12)). Suppose -x - 3*z - 2*z + 17 = 0, -2*x + u = -4*z. What is the remainder when x is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-2)*10*-6)\/((9880\/247)\/(-40))?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2063071\/72 + 28653. Find the common denominator of (-99)\/(40095\/900) - 1 and v.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162 is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 111 and 1246382?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9606778.\nAnswer: 2, 23, 208843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/((((g\/g**(-2\/19))\/g*g*g*g*g)\/g)\/g)*g)**(-17)*(g*g**(-15)*g*g)\/g**(-2\/23))**(-22) assuming g is positive.\nAnswer: g**(260766\/437)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 2:38 AM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (5 - (-2 - -4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*h**2 - 18*h**3 - 12 + 2*h - 17*h**3 - 7*h**2 + 11 in the form m*h**3 + r*h**2 + q*h + b and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 42\/5 of a microgram?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*9\/(-6))\/(15\/(-45))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.31906133 and 0.01.\nAnswer: 0.32906133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/45, -1\/4, -2\/15, 1\/160, -5 in descending order.\nAnswer: 1\/160, -2\/45, -2\/15, -1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-14904)\/(-42) - (-3)\/21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/637746 and 58\/81.\nAnswer: 17219142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 1.6, -1, -10\/796059 in decreasing order.\nAnswer: 1.6, -10\/796059, -1\/6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 629 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (-9 - (-8 - 1))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 4016 - 4*i**2 - 3*i - 4016 + 3*i. Let d(r) = 23*r**2. What is p(d(q))?\nAnswer: -2116*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 162*z - 18*z - 142*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 + -10. Suppose -b*m = -14 - 16. Find the third derivative of -a**m - a**6 - a**2 + 0*a**2 wrt a.\nAnswer: -240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7832000 to the nearest 100000.\nAnswer: -7800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -315 + 71 + 127 + 17*t + 117.\nAnswer: 17*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from yqsyyqsqysyyyksqyq.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of z**7\/42 - z**5\/2 - 313*z**3\/6 + 71*z. What is the second derivative of g(t) wrt t?\nAnswer: 20*t**3 - 60*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16089314, -16089310, -16089306, -16089302, -16089298?\nAnswer: -16089294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -545, -556, -567, -578, -589, -600?\n\"Answer: -11*u - 534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10656?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 37*v + 39*v - 71*v + (-13 - 6*v + 13)*(-1 - 4 + 3).\nAnswer: 17*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/15)\/((-690)\/48300).\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -170 + 172. What is the derivative of -1825*c + 1825*c - 5*c**2 - 56*c**h + 47 wrt c?\nAnswer: -122*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -2*z + 24. Suppose 8*c = 4*c - z. Let s = c + 15. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 14\/(-35) + 77\/5. Let c be 6\/k - ((-26)\/10 + 2). Let j be 5*(36\/20 - c). Solve 0 = 2*p - 2*r - 6, 2*p - 12 = -p + j*r for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.87, -0.2, 170, -2\/7, 5, -0.1, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 5*g - 3*t - 172, 5*t = 4*g - 155. Let s = 11 + g. What are the prime factors of s?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2 = 0, 3*h = 3*d - 0*h + 3. Let p(o) = o**2 + 5*o - 9. Let x(k) = k - 2. Let s be x(-5). What is the least common multiple of p(s) and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 253*u + 800*u + 111*u + 768*u in the form v*u + l and give v.\nAnswer: 1932","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - f + 285, 3*v - 3*f - 2*f + 297 = 0. Let g = -466\/5 - v. Factor g*r**2 + 2*r**3 - 4\/5 - 2*r.\nAnswer: 2*(r - 1)*(r + 1)*(5*r + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -3*a + q - 333, -5*a + 1677 = q. Suppose -4*i - 4*l = -a, i + 6*l = 2*l + 75. What is the units digit of i + (4 - 4) + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1255231381?\nAnswer: 1255231381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2554*b**2 - 897*b**2 - 858*b**2 - 799*b**2 + b**3.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*h**2 - 16*h**2 + 2 - 3 - 6*h**2.\nAnswer: -38*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m - 4*m - m)*(-4*m**2 + 3*m**2 + 2*m**2)*(-6*m**2 - 9*m**2 + 4*m**2).\nAnswer: 11*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**2 - 1 + 1)*(-3948560 - 42*k**2 + 272*k**2 - 8*k**3 + 3948553).\nAnswer: -16*k**5 + 460*k**4 - 14*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*i - 7*i + 10 - 84*i - 6*i + 15*i to the form f*i + j and give j.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/((-42)\/70*5).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 + 3*o - 2. Calculate f(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 205267?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 4*d + 2. Let v(q) = -6*q - 3. Let j(g) = -4*f(g) - 3*v(g). Calculate j(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -20, o + 28*v - 25*v = 23. Solve -o*w - 19*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -220 + 126. Let t = g + 202. Let z = -15 + 27. What is the highest common divisor of t and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 266, 320, 418, 554, 722, 916?\nAnswer: 1130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2922452858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -5, 520, -1, 3.\nAnswer: -5, -4, -1, 2, 3, 520","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1558036296 divided by 6\nAnswer: -259672716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = -127*c + 8710. What is the remainder when 6497 is divided by c?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20337493 to the nearest integer?\nAnswer: 4510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -71*m**2 - 3. Let l(u) be the third derivative of u**5\/60 + 50*u**2. Calculate l(v(h)).\nAnswer: 5041*h**4 + 426*h**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 4:16 AM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 30043, 29981, 29917, 29851, 29783?\n\"Answer: -u**2 - 59*u + 30103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 37*b - 114 - 256. Solve -n = -4*s + 2, -9*s + 3*n - b = -13*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 4*l. Let q = -196 - -200. Let m be (-2)\/(-10) + (-596)\/(-20). Let u be (m\/(-42) + q\/(-14))\/1. Calculate v(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6015 and 2915.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 145358079?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -22161, -44319, -66477, -88635?\n\"Answer: -22158*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4135 (base 6) to base 10\nAnswer: 923","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*a*r**3 - a*r**2 + 2*a*r + 9943*a - 635*r**3 - 92*r**2 + r - 11 wrt a.\nAnswer: -5*r**3 - r**2 + 2*r + 9943","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (24\/(-10) + 2)\/(171\/(-95)). Let b(d) be the first derivative of 0*d**2 - 2\/3*d + o*d**3 + 3. Let b(n) = 0. What is n?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -29a5c - 123?\nAnswer: -29b82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 130\/(-35) + 4 - 0\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 278758 - -86?\nAnswer: 278844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -26, -52, -80, -110, -142, -176?\n\"Answer: -s**2 - 23*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2, 2\/7, -0.05, 16.1, -536?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -140?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 5*l - l)*(-167*l - 3084853 + 3084853 - l**2).\nAnswer: -2*l**3 - 334*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20\/187, -0.1, -1\/4, -0.01, -3 in descending order.\nAnswer: 20\/187, -0.01, -0.1, -1\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 354 is divided by 96.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136637 is divided by 7539?\nAnswer: 935","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 11:53 PM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 76\/(-57) + (-500)\/(-6). Suppose s - 6 = -2*n, n + 77 = -s + g. Let l be 584\/(-36) + (-2)\/(-9). Sort 3, 4, l, n in descending order.\nAnswer: 4, 3, n, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 + -0.4. Let f be (1\/(-1 + 2))\/5. Which is the smallest value? (a) f (b) v (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = 4*y + 15, 5 - 2 = -2*y - 5*g for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 3*r**2 + 5*r + 12. Let f be s(5). Let p = 21 + f. Let v be ((-24)\/9 + 2)\/((-140)\/1785). Is p > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.12 - -0.12. Let i = 5 - 6. What is the biggest value in y, 1\/2, i?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37356 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -7 + 14*p - 39 - 2 + 29*p. What is the tens digit of s(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -214314 (base 8) in base 11?\nAnswer: -4a00a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1632321 + -2051687. Let y = 1135992 - q. Round y to the nearest 100000.\nAnswer: 4800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -2*c - 2*p, 5*c - 114 + 4 = 5*p. Differentiate c*x - 36*x + 15*x + 31 - 27*x**3 with respect to x.\nAnswer: -81*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1390 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 13\/38?\nAnswer: 13\/38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -351 or -102?\nAnswer: -351","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g. Let s be ((-3741)\/2494)\/((-29)\/11 + 1). Let p(b) be the third derivative of s*b**4 - 17*b**2 + 0*b**3 + 0*b + 0. What is t(p(l))?\nAnswer: 22*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bjdb. Give prob of sequence jbb.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9287? (a) -1\/4 (b) -1 (c) -185\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/6 - 65*n + 248168\/3.\nAnswer: -(n - 536)*(n + 926)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -5*m. Let d(z) = -6*z - 4 + 4. Determine w(d(x)).\nAnswer: 30*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -9*f + 1. Calculate the least common multiple of 14 and o(-1).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence urs when three letters picked without replacement from {m: 2, h: 3, r: 2, s: 4, u: 2}.\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2868 and 138?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112003202 (base 4) to base 2.\nAnswer: 10110000011100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 61*c**2 - 3*c + 13. Is b(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 4:21 PM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 27\/2 of a centimeter?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 j when two letters picked without replacement from {w: 14, j: 4}?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 206.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2396?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 883565699.\nAnswer: 157, 1327, 4241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2284101901 to the power of 1\/2, to the nearest integer?\nAnswer: 47792","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (3 - (-7 + 36 + -4)) - 0?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 4*h**2 - 3*h - 6. Let j(a) = 6*a**2 - 4*a - 8. Let z(f) = -3*j(f) + 4*l(f). Let q(s) = -26*s - 1. Determine z(q(n)).\nAnswer: -1352*n**2 - 104*n - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-6672)\/(-7))\/((-6)\/(-21))?\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*m - 38 + 23*m - 56*m.\nAnswer: -m - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 1385*w - 317. List the prime factors of f(3).\nAnswer: 2, 19, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5834895923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from jyyyvyvejjjjejjeye?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2819, -11289, -25407, -45173, -70587?\nAnswer: -101649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.059 + 0.901. Let q = k + 0.04. Which is smaller: q or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2325164 to the nearest 10000.\nAnswer: 2330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -27, 47, 231, 579, 1145, 1983?\n\"Answer: 9*z**3 + z**2 + 8*z - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/806208 and -55\/1536.\nAnswer: 6449664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69413*h - 69365*h + 138770*h.\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 230*(-68 - 13560\/(-200)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**4 + q**3 + q**2 - q + 11. Let n(j) = -23*j**4 + 3*j**3 + 138*j**2 + 122*j + 63. Let w(y) = 3*c(y) - n(y). Factor w(r).\nAnswer: 5*(r - 3)*(r + 2)*(2*r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 92047728 by -30682576.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 8.605675 millennia?\nAnswer: 8605.675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 263 - 257. Calculate the remainder when 66 is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/2 - -6 - 1. Let w be (-4)\/v*(142140\/(-92192) - -2). Let n = w - -54\/67. What is the common denominator of n and -33\/10?\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 402 is divided by -5*714\/(-35) - -13?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 7.1. Sort l, 0, 1 in descending order.\nAnswer: 1, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 259 + -257. Suppose -3 = -4*k + 9. Let f = -121 + 123. Solve f*p - 2*o + k = o, -1 = q*p - o for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 11:47 PM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 138, 458, 962, 1650, 2522?\n\"Answer: 92*c**2 + 44*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*(2\/(-3) + -1). Let a(j) = 4*j**2 + 12*j + 2. Let z be a(-3). Is (-58)\/(-2) - (d + z) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -29*x + 8*x - 2 + 4*x + 4*x + 16*x. Let q(i) = -i**3 + 3*i**2 + 3*i + 2. Let a be q(4). What is u(a)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 5*z = 10, 3*g - 5*z - 8 = 2. What is the fourth biggest value in -2\/11, 2\/17, g, 1\/17?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3003 (base 4) in base 13?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 20\/90*(-22)\/(-13706)*-21\nAnswer: -2\/267","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -35857 divided by -35?\nAnswer: 35857\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-8)\/((i*i**3)\/i))**(9\/7))**(2\/33) assuming i is positive.\nAnswer: i**(-6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 3. Solve a = j + j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12*1*(-33)\/2. Let w be ((-160)\/1)\/(12\/v). Round w to the nearest one hundred.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 37, 2, -3, -1\/30?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -597 - -596. Sort 3, 1, -80, s in ascending order.\nAnswer: -80, s, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: c447 (base 15) to base 3\nAnswer: 2002212211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 69 - (42 + -187 + 262).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 15 = 24. Solve i*k + 2 = -16 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4968, 4943, 4916, 4887, 4856, 4823, 4788?\nAnswer: 4751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z - 6*z - 5*z.\nAnswer: -14*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/1)\/(((-14)\/30)\/((-77)\/33)). Sort r, 231, -0.1, -3 in ascending order.\nAnswer: r, -3, -0.1, 231","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1951?\nAnswer: 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -1\/2, -2\/3 in descending order.\nAnswer: -0.2, -1\/2, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.3 + -0.3. Let v = c - 0.77. What is v rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 s when two letters picked without replacement from {e: 3, i: 4, s: 3, t: 4}.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -39074 - 41*y**2 + 39074 + 3*y + (4*y + 0*y - 2*y)*(2*y - 4 + 4).\nAnswer: -37*y**2 + 3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*m + 2*m**4 + 2 + 728*m**2 - 2*m - 719*m**2 to the form n*m**3 + g*m**2 + h + l*m + b*m**4 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 665\/703 - 11 - -10\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0554 to 3 decimal places.\nAnswer: 0.055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 16 + 9 + -1 + -1. Let r = u + -26. Let i = r - -38. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 127*q - 8646. Calculate r(51).\nAnswer: -2169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1017.4 - -1017.4. Let p = -29 + 56. Which is the third smallest value? (a) f (b) -2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uouuuuuuj. Give prob of picking 1 o and 3 u.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -378, -0.8, 2.4, 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 + 5*y + 236. Calculate h(-14).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 2478?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 1 = 2*o. Suppose 140*t + 3*d = 136*t + 34, 0 = 4*t - d - 42. Calculate the highest common factor of t and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of -4*m**3\/3 + 1. Suppose -q + 5*b = q - 29, 2*b + 12 = q. Let u(f) = f**2 - f**q - f**2. What is u(y(i))?\nAnswer: -16*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 3, 7030, 38, -2, 1 in increasing order.\nAnswer: -4, -2, -1, 1, 3, 38, 7030","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24)\/(sqrt(6)*3) + -3*sqrt(100))\/(-3*(sqrt(162) - (1*sqrt(162)*-2 - sqrt(162)))))**2.\nAnswer: 242\/6561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of z**4\/12 + 2*z**3\/3 + 3*z**2\/2 + 2*z. Let b be q(-4). What is the units digit of 2\/6 - (-26)\/b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/33)*((x*x*x**(-3\/7)\/x*x)\/x)\/(((x\/(x\/(x**(-1\/8)\/x)))\/x*x)\/x))\/(((x**(1\/4)\/x)\/(x**3\/x))\/((x**(-1\/6)\/x)\/(x**(2\/11)*x))) assuming x is positive.\nAnswer: x**(5837\/1848)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Work out 568 * 0.4.\nAnswer: 227.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*h, -3*h = d - 7 + 1. Are 15 and d equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1300) + (sqrt(1300) - (sqrt(1300) - ((sqrt(1300)*1 - sqrt(1300)) + 1))))*4)**2*-1.\nAnswer: -20816 - 320*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1050, 9, 2, -3 in decreasing order.\nAnswer: 9, 2, -3, -1050","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -35 in 0.2, -0.014, 2?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62974112 - -31898.88.\nAnswer: -62942213.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**2 - 16*b + 163. Determine d(-16).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/21 - 7243\/21. Do -1381\/4 and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 154 or 152?\nAnswer: 154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/((-234)\/(-6076)) - 2. Let t = 192\/13 - q. Let m = t + -92. Find the common denominator of m and -43\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -4*g + 38. Let t be n(10). Put -4, t, 21, -1 in ascending order.\nAnswer: -4, t, -1, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.023 and 1587.\nAnswer: 1586.977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 952898456 a multiple of 3046?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.3 and 5?\nAnswer: -6.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14108108882722*f**2 - 8*f**3 + 14108108882722*f**2.\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3156*u**3*y - u**2*y + 209*u*y + 2*u + 5*y wrt u?\nAnswer: 18936*u*y - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 126626507 to the nearest integer?\nAnswer: 11253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -13 + (5 - 0 - (23 + -9))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 645 + -645.1415. Let y = 601 + -601.0744. Let w = y - a. Round w to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 316*b + 3502. Let z be m(-11). Solve -z*y - 282 = -73*y for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**3 - 18*p**2 + 2*p + 18 = 0. Calculate p.\nAnswer: -9, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from {o: 11, i: 9}?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 - 3 - ((8 - (6 - (-1 + -2))) + 1)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6\/61 (b) -5 (c) 539 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 149742 and 708?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -86 - -90. Let f(l) = -l**3 + 4*l**2 + l - 3. Calculate f(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, u: 2, x: 3, n: 1}. What is prob of picking 1 u and 1 n?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6867*b + 2018*b + 1234*b + 1901*b = 190254 for b.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -6*b + 42. Let s be h(7). Solve 0 = -5*m - s*m - 20 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3093, -5463, -7833?\nAnswer: -10203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -73*r - 568. List the prime factors of x(-43).\nAnswer: 3, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yx when two letters picked without replacement from xxxxyxxxxxxxxxxxxxx.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = f + 1. Does f = -7\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 AM and 10:45 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, x: 3}. Give prob of picking 3 y.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7369008 and 8290134.\nAnswer: 66321072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - 8*u**2 + 12*u + 10. Let w be d(6). Suppose 0 = -14*y + w*y - 48. Let x(f) = f**3 + 15*f**2 + 4*f - 13. Is x(y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 7*y + 6 = 0, 4*w = -5*y + 657 - 639. Let r(f) = 4*f**2. Let h be r(-1). Suppose 0 = h*k - 3*k - 4. Solve w*u + 2*j = 4*j - k, 20 = 5*j for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - (-80)\/(-14) - (-12)\/(-42). Let i be o\/15*-5*3\/(-6). Is i != -2\/33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v - 4*v + 176. Is v a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/(-28)*6\/(-11)*3.\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*z - 7*z + 9. Calculate the greatest common factor of 9 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 12:23 PM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*q - 185*q - q.\nAnswer: -213*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p - 2. Let d be h(-5). Let b(g) be the second derivative of 1\/6*g**d + 2*g + 0*g**2 + 0. Let l(o) = -4*o. Give b(l(c)).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 477.1305 millilitres to litres.\nAnswer: 0.4771305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5422*y**2 + 1470*y wrt y?\nAnswer: -10844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a + 1. Calculate the remainder when 7 is divided by y(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - 5076\/15) + (-18)\/(-45). Let q be f\/3*(-5 - 49\/(-14)). What is q rounded to the nearest 10?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -95*w**2 - 4084*w + 52. What is b(-43)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 500 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5038728620?\nAnswer: 2, 5, 41, 59, 104149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 2*s + z = 38, -4*s = z + 76. Let b(j) = j**2 + 24*j + 100. Let g be b(s). Let w(n) = -10*n**2. Let o(v) = 30*v**2. Determine g*o(h) + 14*w(h).\nAnswer: 10*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 4*t - 16 = 0, t + 3 = -b + 10. Let o(w) = -w**3 - 4*w**2 - 2*w - 5. Let v be o(-4). Solve 0 = -v*u + b*n - 5*n + 24, -25 = -5*n for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34198457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s - 8 = 37. Suppose 2*f + 5*u + 2 + 13 = 0, -6 = s*f + 2*u. Solve f = -4*r - 5*t + 2*t + 19, -3*t = -3*r - 12 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 17*n - 1. Let w(p) = -9*p. Let q be (-41)\/82 - (-11)\/(-2). Suppose 2*i - 3*b + 4 = -33, -b - 6 = i. Let u(h) = i*w(h) + q*x(h). Give u(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*u**2 - 98\/5*u + 836\/5.\nAnswer: 2*(u - 38)*(u - 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -8 (b) -2\/9 (c) -0.164 (d) 2 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.04 + 4.96. Let t = 11 - s. Let u = -6 + t. What is the second biggest value in 3, u, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 610, 549, 490, 433, 378, 325?\n\"Answer: j**2 - 64*j + 673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -30 times -6.58\nAnswer: 197.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 10, 3, 8, 1600, -4, -2.\nAnswer: -5, -4, -2, 3, 8, 10, 1600","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of 5*i**4\/12 + i. Let j(g) be the second derivative of 0*g**2 - 26 - 3*g + 1\/3*g**3. What is j(u(x))?\nAnswer: 10*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12.77? (a) 0.3 (b) -2\/9 (c) 4 (d) -5 (e) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, d: 2, t: 6, l: 2, u: 1, x: 3}. What is prob of sequence ddhu?\nAnswer: 1\/16380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21.9 + -24.574. Let j = m - -0.034. Round j to 1 decimal place.\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ayf when three letters picked without replacement from {s: 4, a: 3, f: 4, q: 5, y: 3}.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -0.0803\nAnswer: 0.4015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40.006 - -40. Let p = o + -0.024. Round p to three dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 724570 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -5496*c - 32936. Calculate x(-6).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 5*t + 873 = 3*g, -2*g + 3*t = -453. Let z be g\/12 - (-4)\/((-8)\/(-3)). Solve 0*k + z = 4*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 0.4, 0.1639?\nAnswer: 0.1639","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 2 in descending order.\nAnswer: 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -14605, -14680, -14809, -14998, -15253, -15580?\n\"Answer: -f**3 - 21*f**2 - 5*f - 14578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**2 + 72*v + 13. Let y be h(-35). What is the remainder when y\/5*-1 - (-392)\/(-980) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 3) + (-8 - 1 - -18).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -7*d**4\/12 + 11*d**2\/2 - 2*d + 133. Let u(x) be the second derivative of y(x). Determine u(2).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 74190 and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/23 greater than 47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w + 3 = 3. Solve 0 = -5*l + 2*y - 0*y + 27, w = y + 1 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42 + 18 + (7 - -2) + -14 + 0 + -5\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 - -35 - (0 - 1). Suppose 5*d + 5*a = 55, -5*d + 54 = -d + 2*a. What is the greatest common divisor of w and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**0)**0 assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 + 19. Solve -3*h + 7 - 1 = d for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*x - 16*x + 10*x - 3*x**3.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(((-8)\/10)\/(-4)). Sort 5, 2, j in ascending order.\nAnswer: j, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173371.\nAnswer: 11, 15761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -424, -321, -220, -121?\n\"Answer: -h**2 + 106*h - 529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 50643727 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -265 * 12600\nAnswer: -3339000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13078324*q**3 - 20636*q**2 - 176*q wrt q.\nAnswer: 78469944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35991 and 168585843?\nAnswer: 3999","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**4 + 6 + 16*b**2 + 5 - 25*b**3 - 12*b**2 + 26*b**3 in the form n*b**2 + k + t*b + l*b**3 + q*b**4 and give k.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2892709604 to the power of 1\/3, to the nearest integer?\nAnswer: 1425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -0.142, 2\/15, -2\/5, 637?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**2 - 286416*s + 1145712 = 0. What is s?\nAnswer: -95476, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 137745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 53942653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(-3) - (4 + 0). Let v = 591 + -675. Which is the smallest value? (a) o (b) v (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = 5*r + 32, 3*r + z + 8 = -0*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -12*((-19)\/114)\/(6\/(-180)*2)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of -j**5\/105 - 19*j**4\/42 + 24*j**2. Factor h(b).\nAnswer: -4*b*(b + 19)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 378 and 84.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 10*y**2 - 4*y + 4. Let z(m) = 10*m**3 - 110*m**2 - 45*m + 45. Let t(x) = 45*u(x) - 4*z(x). Solve t(h) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/9 and 107\/629220.\nAnswer: 1887660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*d + 3*z + 1, 0 = d - 122*z + 130*z + 28 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s*s\/s**0*s*s))\/s*s*(s\/(s**(-12)\/s*s))\/s)\/(s*s*s\/(s*s**(-2\/3))*s*s)**(5\/2))**40 assuming s is positive.\nAnswer: s**(-320\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 - 3*f + 25. Let p be a(0). Let c = p + -22. Find the second derivative of 3*r + 2*r**5 + 3*r**2 - 3*r**2 + c*r**5 wrt r.\nAnswer: 100*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 58, 128, 216, 328, 470, 648, 868, 1136?\n\"Answer: f**3 + 3*f**2 + 54*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3*s = 27, -4*s + 11 = o + 14. Solve -o = m + 4*w, 0*w - 2*w = 3*m + 7 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((1\/(-4))\/((-40)\/160))\/((-78)\/962)\nAnswer: -37\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 97\/1 + (-151)\/((-31710)\/(-10080))\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x - 16 + 8, -2*d - 4*x = 38 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11786408 to the power of 1\/2, to the nearest integer?\nAnswer: 3433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2399*n*v**4 + 5*n*v**3 - 3*n*v**2 + 2134*n - v**4 - v**3 + v wrt v.\nAnswer: 57576*n*v + 30*n - 24*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -59*x**4 + 5*x**2 + 3*x**3 - 3*x + x + 58*x**4 + 0*x to t*x**4 + k*x**3 + d*x**2 + n + v*x and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -n - 8. Let r be (8\/n)\/(3\/(-45)). Suppose r*v = 2*v + 8. What is the highest common factor of 6 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 2*k - 6, 15 = 4*q + q + 4*k. Let f = 2068.5 - 2068. Sort q, f, 6 in ascending order.\nAnswer: f, q, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -117 + 121. Let z be m*(15\/10 - -7). Suppose 79 = 5*h - 91. Calculate the greatest common factor of h and z.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*c**2 + 2098436*c = 0.\nAnswer: 0, 524609\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 402*j**2 - 3044*j**2 + 1129*j**2 - 1377*j**2 - 1330*j**2 as o*j**2 + m*j + w and give o.\nAnswer: -4220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/5*(-70)\/28. Suppose -19 = -5*r - p*b, 2*r - 2*b = 3*b - 11. Find n such that 0 + 6\/7*n - 3\/7*n**3 - 3\/7*n**r = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 3*l + 8 = 0, -131*l + 4 = -130*l for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 31*n**2 + 214*n - 278. Calculate h(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, n: 1, s: 6, x: 1, q: 2}. What is prob of picking 1 q, 1 n, and 2 s?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + (1 - 2 - 2). Suppose 9*t - 5*t - 16 = k. Let d = -0.4 - 4.6. Which is the second smallest value? (a) d (b) t (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 7) + -2 - -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in 0, -1, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*b - 3 - 14*b + 10*b)*(-2*b**2 + 3*b**2 - 3*b**2)*(3*b - 16*b + 2*b).\nAnswer: -660*b**4 - 66*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (162\/(-56) + 3)*66 + 76 + -83?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 8*p + 2. Let g(x) = -7*x - 4. Determine 2*g(r) + 3*s(r).\nAnswer: 10*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 5, y: 14}. Give prob of sequence ooo.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -0.1 (c) -73 (d) 24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 488, 1941, 4364, 7757, 12120, 17453?\nAnswer: 23756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 1 + -1 + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 63031.6 + -83\nAnswer: 62948.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 t when two letters picked without replacement from edddvteetdeetjeteee?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 173 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33998, -136015, -306050, -544109, -850198, -1224323, -1666490, -2176705?\nAnswer: -2754974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1771*p**6 - 12*p**5 + 14925*p**2?\nAnswer: -212520*p**3 - 720*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 128753, 128379, 128005?\n\"Answer: -374*s + 129127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w = -20*w + 40 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2468355200?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 553*u + 18*u + 571 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 1, -5, 3\/4 in ascending order.\nAnswer: -5, 0.4, 3\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2780136529*d**2\/4 + 52727*d\/2 - 1\/4.\nAnswer: -(52727*d - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1740 and 435.\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 4*f**3 - 8*f**2 + f + 6. Let b(j) = 3*j**3 - 7*j**2 + 5. Let q(a) = 3*b(a) - 2*o(a). Give q(3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -371*a = -4*z - 367*a + 96, 5*z - 3*a = 132. What is the lowest common multiple of z and 1575?\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3498 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 336856 - -521?\nAnswer: 337377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 6*c**2 - 2*c**2 - 2*c**2. Let l(t) be the first derivative of 0*t**2 + 3 - 1\/3*t**3 + 0*t. Determine l(m(d)).\nAnswer: -4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, 0, -4, 53 in ascending order.\nAnswer: -5, -4, 0, 5, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14 or 53\/8?\nAnswer: 53\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 1766?\nAnswer: 15894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*u + 19*u - 3892 + 3889.\nAnswer: 10*u - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 22011364 to the power of 1\/2, to the nearest integer?\nAnswer: 4692","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/28 - (-8)\/14 - 4\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 6. Let t be 2*3*(-3)\/(-2). What is the units digit of t*z*1\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of -m**4\/36 - 1477*m**3\/9 - 2181529*m**2\/6 + 9*m + 221. Determine i, given that x(i) = 0.\nAnswer: -1477","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 300 = 41. Let n(c) = -c**3 - 3*c**2 + 8*c + 3. Let f(u) = u**2 - 5. Let d be f(0). What is the remainder when b is divided by n(d)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.15 + -5.1722. Round i to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33626078063 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 divided by -450.\nAnswer: -11\/150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 12:49 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*w**2 + w - w)*(7*w**2 + 0*w**2 - 2*w**2) + (-2*w**2 - 4*w**2 + 4*w**2)*(-w**2 + w**2 - w**2).\nAnswer: 12*w**4 + 10*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of 2*b**7\/105 - b**6\/5 - 4*b**5\/5 + 19*b**4\/3 - 14*b**3 + 1333*b**2. Determine i so that h(i) = 0.\nAnswer: -3, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132 + 4*g**3 - 132 - 35*g**3.\nAnswer: -31*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 6:49 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2874417972 to the nearest integer?\nAnswer: 1422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26*o**3*s**2 - 5*o**3 + 4*o*s**5 - 48*o*s wrt s?\nAnswer: 52*o**3 + 80*o*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -192881 greater than or equal to 65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -1. Suppose l - 3*r = 4*l + 12, -5*l - 15 = 4*r. Let d be (1 + l)*9\/108. Which is the closest to 2? (a) u (b) -1\/4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0661 - 250.732469\nAnswer: -250.666369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-57)\/1710*(-2)\/1*3.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70801908 divided by 23600636?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(85)\/sqrt(5)*1 - sqrt(1377)*2).\nAnswer: -17*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1 + (1 + 4*(sqrt(39)\/sqrt(3))**2 - ((sqrt(637) + -1 - sqrt(637)) + 3*sqrt(52)\/sqrt(4)))).\nAnswer: -9*sqrt(13) + 165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2946, 15647, 38100, 70305?\nAnswer: 112262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30*t - 100*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 6 = -4*y, -5*y + 12 = -3*y - 4*c. Let l(x) be the second derivative of 0*x**2 + x + 1\/6*x**3 + y. Let g(v) = 2*v. What is g(l(r))?\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 539*h - 6987. What is j(13)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 9 - 4 = 5*o, d = 4*o + 2. Sort 142, o, -4.\nAnswer: -4, o, 142","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -2354\/101 (c) 13 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 + l. Suppose -3 = 11*b - 8*b. Let y(c) = 6*c**3 + 15*c**2. Let g(o) = b*y(o) - 3*z(o). What is the third derivative of g(n) wrt n?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7350251*n**2 + 59927581 wrt n?\nAnswer: -14700502*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bs when two letters picked without replacement from {b: 1, c: 3, u: 2, s: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 519, -7 in decreasing order.\nAnswer: 519, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 439.7575g to nanograms.\nAnswer: 439757500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 75742028371 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 2*v + 8, -2 = -j + 3*v + 7. Suppose q - j*q = -1985. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 325*m + 40 = 329*m + 4*r, 2*r = 3*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9151.\nAnswer: 9151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 196204 and 543.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/10 of a micrometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23140807 and 631707?\nAnswer: 7261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -5*q + 24. Suppose l - q + 16 = 0. Let u = 4 - l. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of -155*f**2 - 1423. Let y(b) = 5*b**2. Calculate y(n(g)).\nAnswer: 480500*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -8\/5, -9, -3, -4\/7, 2\/5, 35.2 in decreasing order.\nAnswer: 35.2, 2\/5, -4\/7, -8\/5, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of (-1350)\/(-70) - (-2)\/(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00050508 to 5 decimal places.\nAnswer: -0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 9*h - 24 + 21 + h**2 - 9. Let b be k(-2). Factor -2\/5*f + 0 - 8\/5*f**4 - 4\/5*f**b + 14\/5*f**3.\nAnswer: -2*f*(f - 1)**2*(4*f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -13. Let h(x) = x**2 + x - 1. Let p(i) = 3*i**3 + 3*i**2 + 6. Let k(a) = c*h(a) + p(a). Factor k(q).\nAnswer: 3*q*(q + 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19*t - 81 - 40*t + 22*t + 2*t - 3 + 3 + (-1 + 1 + 2)*(-2 + t + 2) + 0 - t + 0 + 6*t + 7*t - 6*t.\nAnswer: 11*t - 81","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -274, -279, -294, -325, -378, -459, -574, -729?\nAnswer: -930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/1110 and -71\/1200.\nAnswer: 44400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3 + 284361*n**2 - 5119470*n.\nAnswer: 3*n*(n - 18)*(n + 94805)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 - 13*i - 14. Let k be v(14). Which is the nearest to k? (a) -6 (b) 0.1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 29 (c) -1 (d) -1.4 (e) -9\/10 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/(5\/(1335\/(-6))) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19*(-230)\/48450 - (-8)\/30.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j**3 + 2*j**2 - 10*j - 3. Suppose -3*l = -22 + 7. Let n be i(l). Suppose 6*x - 372 = n. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 7 and -18\/11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/359, 2\/11, 2 in ascending order.\nAnswer: -4\/359, 2\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 177 + -182. Put h, -2\/9, -3\/7, -10 in decreasing order.\nAnswer: -2\/9, -3\/7, h, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 b when three letters picked without replacement from {g: 2, v: 2, q: 2, b: 2, c: 5}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 155234627, 155234626, 155234625?\n\"Answer: -z + 155234628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + 11*k**2 - 20*k + 20. Let m be i(9). Suppose t - m = 84. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -2 + 9. Let r = 9 - w. Solve -r*n + 5*n = -15 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -10433421?\nAnswer: -10433411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 3*g + 2*g + 17, 27 = 3*l - 4*g. Suppose 0*f = -l*f + 110. What is the least common multiple of 66 and f?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -6823 and -6823 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + d + 3*t - 8 = 0, t = d - 4. Factor -f - f**2 - 3 + 3 + f**3 + 0 + f**d.\nAnswer: f*(f - 1)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -7*i - 13. What is a(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -120*g**2. Let h(u) = -2*u**2. Determine s(h(w)).\nAnswer: -480*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 74060167 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -4*u**3 - 24*u**2 + 5*u + 15. Calculate the lowest common multiple of t(-7) and 112.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4350?\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g + 1. Suppose 5*w = -5*c + 20, 5*c - 5*w = -w + 47. Determine x(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*l + 948 = 93*l. What are the prime factors of l?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bczjszzszjzshszcs. Give prob of sequence bs.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -40 + 44 + -12 - -6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j + 3. Let h(v) = -2*v - 14. Let i(m) = -3*m - 17. Let l(f) = 4*h(f) - 3*i(f). Determine -11*b(p) - 6*l(p).\nAnswer: 5*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*p + 194 + 198. Suppose 0 = 5*w - 3*w - 20. What is the remainder when p is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/2)\/r)**50\/(r**(1\/5)\/(r\/r**(-5))) assuming r is positive.\nAnswer: r**(-346\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v + 2. Suppose 13 = -q + 4*a, 0 = -3*q + 3*a - 22 + 1. Let b(o) = o + 34. What is the remainder when b(-15) is divided by k(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1951367?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-14)\/210 + (-1426)\/(-465). Let g be ((2 - 1) + -1)\/2. Solve 9 = -3*v - g*v - 3*b, -3*v = -a*b - 9 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1254 and 369336?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -4 - (-19 + 19).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 143167 + -143241.961. Let c = -75 - p. Let s = 0.439 + c. Sort 0.1, s, 3.\nAnswer: 0.1, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18 (base 15) to base 4.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18521, 37003, 55485?\nAnswer: 73967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -76479 (base 10) to base 2.\nAnswer: -10010101010111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(1 - (3 - 0)). Let g = 94.2 + -106. Let k = g + 12. Which is smaller: k or u?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 2*u = 2, -4*x = -3*x + 4*u - 14. Find s such that x + 122*s**2 + 2 - 5*s - 121*s**2 = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -11*l**7\/105 + 25*l**3\/6 + 9*l**2. What is the derivative of p(v) wrt v?\nAnswer: -88*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/(-6))\/(-1)*-11. Let b = r + -6. What is the nearest to -1\/4 in 2, 3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - 7*t**2 + 5*t + 6. Let l be k(6). Suppose 0*x - 4*x + 428 = l. Suppose 3*z = -29 + x. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 g when two letters picked without replacement from gxcgxxxgggg?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1335 + 30*j**2 - 1335 + j**2 + 1 - 1 + (6 - 2 - 3)*(0*j**2 - 2*j**2 + 0*j**2).\nAnswer: 29*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 4:44 AM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of j**4\/12 - 5*j**3\/6 + j**2 + 82*j. Let s = 4 - -2. Suppose s*z - 12 = 3*z. Determine f(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*28\/1 - (-5 - -5). Let g = -29 + t. List the prime factors of g*(9\/3 + -88).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, e: 1, g: 4, i: 4}. What is prob of sequence ey?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 146 - 206. Suppose 1863 = 4*t - q, 2*t + 0*q - 3*q - 939 = 0. What is the highest common factor of t and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 4 = m - 16, 15 = 2*m + j. Let n(o) = -m*o**2 + o**2 + 5*o**2 + 74*o + 6 - 81*o. Determine n(-9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(4\/13)*r**(-9))\/(r\/(((r*r*r*r**(-8)*r*r)\/r)\/r)*r**37) assuming r is positive.\nAnswer: r**(-672\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of -17*c**6\/30 - 3*c**3\/2 + 18*c. What is the second derivative of r(b) wrt b?\nAnswer: -204*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 29, 30, 33, 38, 45?\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 12:03 PM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 66 + (0 - (62 - 47))\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -645*m**3 - 640*m**3 + m - m**2 + 1275*m**3 + 1. What is the tens digit of q(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 298 a factor of 5219824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 3*c**3 + 13*c**2 - 7*c - 7. Let h be u(-5). Let o be (11\/2 + 1)*4. Let p = o + h. Solve -2 = -p*y + 2*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6, 4, 14, 24?\n\"Answer: 10*g - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25516 - 9616. Let z be x*-5*800\/4. What is z rounded to the nearest 1000000?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + 4*x**2 + 5*x. Let h be c(5). Let b be 3\/(9\/6) - h. Suppose b*r + 2 = 46. What is the remainder when 43 is divided by r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*c - 33*c - 72 = 0. Let u = c + 66. Does 15 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9339998*a**2 + 16*a - 11941?\nAnswer: -18679996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - x - 13 = 0, 4*x = -2*i + 1 - 3. Let z(d) = -2*d - 4. Give z(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m - 16*m = -38. Calculate the greatest common factor of 95 and m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-3*sqrt(35)*-2 + (sqrt(35) - (-2*sqrt(245) - sqrt(245) - sqrt(245))\/sqrt(7))))\/(sqrt(500) + sqrt(500)*-5 - sqrt(15)\/sqrt(3)*5).\nAnswer: -11*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**3 - 1190*c**2 + 2377*c - 1188 = 0. Calculate c.\nAnswer: 1, 1188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 2*q = 0, 5*v + 5*q - 7 - 23 = 0. Solve -2*j - 3*m = -2*m + 3, -v*m + 6 = j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -23*s - 66. Suppose -5*l + q = 94, -74*l + q + 20 = -75*l. Let h be i(l). Calculate the greatest common factor of 53 and h.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0\/((-6)\/3))\/1. Suppose -b + 3 - 1 = n, -x + b = -61. Does 8 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*i + 4*i + 4*i - 4*i.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.8893 to 1 dp.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 d when three letters picked without replacement from dmoommkgdmmukdo.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 179836?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 352?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 462444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 128191579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**4\/a)\/a)\/a)**12\/(a**(-8\/9)*a\/(a*(a*a**18)\/a*a*a)) assuming a is positive.\nAnswer: a**(296\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -6.91. Let z = o - 3.91. Which is smaller: z or -0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 + 11 - 522*i + 59*i as z*i + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2, 4, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3 - -0.7. Let f = y - -1. Which is the nearest to -1\/5? (a) -3 (b) -1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 2*i + 16. Suppose i*n + 4 - 28 = 0. Factor -4*m + 2 - 7*m**3 + 7*m + n*m**3.\nAnswer: -(m - 2)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 87357 and 7859?\nAnswer: 686538663","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3 + 2 - 3*z + 0. Let d be o(-1). Find the third derivative of 0*q**2 + 2*q**4 - 4*q**2 + 5*q**d wrt q.\nAnswer: 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*u + 142*u - 12 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136583652?\nAnswer: 2, 3, 43, 264697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 3:37 AM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -384352 + -22598139.\nAnswer: -22982491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-5) + (-170)\/350.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t**2 + 13*t - 14. Let h be d(10). Let v = -33 - h. Is 11 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 - 10*r - 800. Determine t(37).\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33370734?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 336780730313 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by 59.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 744*t - 240*t - 201*t - 163*t.\nAnswer: 140*t + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46.3 - 46.295739. Round n to four decimal places.\nAnswer: 0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6452, -6453, -6454, -6455, -6456, -6457?\n\"Answer: -f - 6451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -18, 0, 22?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 + 8*a. Calculate x(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 1)\/(-16*66\/(-4752))?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13806188 rounded to the nearest 10000?\nAnswer: 13810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 112 = -32*u, 2*m + 2*m = -3*u - 1155 + 1159 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -101*w**2 + 4. Let u(v) = -5*v**2 + 9*v - 3. Let k(t) = 17*t**2 - 30*t + 10. Let x(f) = -3*k(f) - 10*u(f). Calculate y(x(i)).\nAnswer: -101*i**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j**3 - 31*j**2 - 427*j - 4722. Give t(-13).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dxmlmskl. What is prob of picking 1 l and 1 m?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w + 2 - 5, 14 = -3*j + 2*w for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2083 - 4168 + 2092 - 6*a**2 to the form q + b*a**2 + v*a and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + 14*y**2 - 4*y + 16. Let w be j(0). Solve 2*b + 0*b = -g - 12, -3*b - g - w = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1022 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30170055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millimeter in micrometers?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j + 49. Let f be q(24). Let w be ((-19)\/57)\/(1\/(-6)). Sort w, f, 0 in descending order.\nAnswer: w, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5332 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*l + 3*l - 2*l)*(12 + 8*l**2 - 12) as f*l + v + s*l**3 + g*l**2 and give s.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 + 3 - 26*f + 28 - 5*f**3 + 27*f to g*f**3 + v*f**2 + p + c*f and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + 0 + 0 + -3. Put -4, a, 3 in increasing order.\nAnswer: -4, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of -m**3\/3 - 9*m**2\/2 + 38*m + 2. What is z(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 + h - 4. Let k be p(0). Let l = 18 + k. Let o = l + -2. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62312271 divided by 9541.\nAnswer: 6531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of 1\/20*s**6 + 0 + 3\/20*s**5 + 12*s + 3\/4*s**2 - 1\/4*s**4 - 1\/28*s**7 - 1\/4*s**3. Find u such that x(u) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 + (0 - (2 + 2)). Suppose c = -0*z - 4*z - 4. Let o = -0.1 - 0.1. What is the nearest to o in 5, z, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 10:42 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -507 smaller than -507?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -28 (base 11) to base 12\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -33*b + 161 - 167 - 159 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 103, 93, 83, 73, 63?\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -6*c - c**3 - 14 + 16*c**2 - 5*c - 4*c**2. Let w be r(11). Is 0 > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a century in decades?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 PM and 2:00 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -122 and -0.2035655?\nAnswer: 24.834991","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1166528 to the power of 1\/3, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 11. Let j = -539.5 + 540. Let u = -764 + 769. What is the second smallest value in -3.5, u, m, j?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 16 = 22, -11 = 4*z + 3*t for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/733371 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-557 - -572) + 6\/(-4)*(45 - 9).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**5\/15 + 6*j**4\/5 - 22*j**3\/5 + 14*j**2\/3 - 8*j\/5.\nAnswer: 2*j*(j - 1)**3*(j + 12)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.726 rounded to one decimal place?\nAnswer: 78.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 + d - 13. Let b(g) = 2*g**2 + 12*g. Let j be b(-6). What is p(j)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/921717 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*m + 221 - 5 + 99 = -89*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*(-33)\/(-6))\/((28\/4)\/(-14)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 AM and 12:30 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5144729 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -93.9 - -39.5. Let a = -9.4 - y. Let d = 44.999736 - a. What is d rounded to five decimal places?\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 823387298 to the nearest integer?\nAnswer: 28695","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/33 + (3 + 2 - (-6 + 13))?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 75.8 and -8.\nAnswer: -606.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -3 - 382*o + 770*o - 389*o. Let t(j) = -j + 2. Let r(y) = -h(y) - t(y). Give r(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*c**2 - 4*c**2 + 723*c + 2*c**2 - 722*c - 421 in the form a + t*c**2 + v*c and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 56.6 - 56.6. Let x = -113 - -115. Let z be (-2)\/(-28)*(-1 - 3). Which is the closest to z? (a) -3 (b) p (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -59.309 from -97263.\nAnswer: -97203.691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 36 = 3*w, 4*j + 36 - 104 = 5*w. Calculate the remainder when 40 is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/3 (b) -2903\/3 (c) 24\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r**3 - 2*r**2 - 2*r. Let q be y(2). Let o = 5 + -3. Let c = q - o. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 PM and 2:55 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 75*d**2 - 4*d - 53. Calculate k(3).\nAnswer: 610","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 equal to 1306?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 167 - 164. Suppose -k*x = -2*f - 12 + 1, 0 = -4*x + 2*f + 14. Solve 0 = -3*i - x - 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = -20 + 12 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3*n**2 - 4*n - 4. Let b(u) = -1. Let r(o) = -4*b(o) - d(o). Let m(q) = 4 - 3*q + 4*q**2 - 13 - 2*q. Give -6*m(s) - 7*r(s).\nAnswer: -3*s**2 + 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.36829 rounded to zero dps?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rmlyb. Give prob of sequence lyb.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -194, 6709, -41 in increasing order.\nAnswer: -194, -41, 6709","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3352010, -3351999, -3351988, -3351977, -3351966?\nAnswer: -3351955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.02 + 0.1. Let f = -0.02 - w. Let h = 0.4 - f. Which is the smallest value? (a) h (b) 2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 less than or equal to 81\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.2 (b) 17\/197502 (c) 3 (d) -3 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -213 - -318. Is 21 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(2\/3)*h**(6\/7))**19)**5 assuming h is positive.\nAnswer: h**(5035\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 4*g**3 - 6*g**2 - g - 6. Let i be ((-25)\/(-1 + -4))\/(1\/5). Let k = i + -24. Let o(h) = -h**3 + h**2 + h + 1. Determine k*w(t) + 6*o(t).\nAnswer: -2*t**3 + 5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5692781*u**2 - 2*u - 6329913 wrt u?\nAnswer: -11385562*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 2, -1079 in ascending order.\nAnswer: -1079, -14, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 4*s**2 - s + 2. Let i(h) = -7*h**2 + 2*h - 4. Suppose -16 = 8*p - 10*p. Let k = p + 3. Calculate k*g(a) + 6*i(a).\nAnswer: 2*a**2 + a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n + 4*n + 8 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 4. Let f be (-2*2)\/t + -2. Let l(u) = u**2 - 2. Let w be l(0). Which is the closest to f? (a) -3 (b) -1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.072 + 0.272. Let s be 36\/96 + (-2)\/48 + 0. Which is the closest to 0? (a) s (b) 31 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19642513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 63306.4 to the nearest 100.\nAnswer: 63300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = -2*v + 5*v. Suppose 3*z + v = 5*z. Calculate the smallest common multiple of z and ((-4)\/(-12))\/((-1)\/(-42)).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -p**3\/3 + 208*p**2\/3 - 3535*p - 7350 = 0?\nAnswer: -2, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = t - 11, -465*t + 2*f = -470*t - 14 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 19491+-398613\nAnswer: -379122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 1 = 3. Let c be -5 + -5 + 8 + -1. Sort c, j, 0.\nAnswer: c, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12297287?\nAnswer: 12297287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102 is divided by 47.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 344 and 1305002700.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 - g - 4. Suppose 6 = 3*i - 3. Suppose 3*z = 12, i*t + 30 = 5*z + 1. Let v(d) = -d**2 - 2*d - 5. Calculate t*u(p) + 2*v(p).\nAnswer: p**2 - p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 89.66 to 0 decimal places.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-8) - (-4)\/(64\/12). Let w be (z + 2 + -2)*0. Suppose 4*q - 9*q + 300 = w. Round q to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*r + 5. Suppose 12 = -r*j + 45. Let u = -33 - -66. Calculate the highest common factor of u and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -172*96\/8064*-14.\nAnswer: 86\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-9)\/6 + ((-195)\/30)\/(-13)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 AM and 8:43 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*n**2 + 14 + 2*n**2 - 31 - 26 to the form r + o*n**2 + b*n and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - 3 - (-3 + -12). Suppose -v + 3*i - 6 = -2, 5*v - q = -2*i. Does 15 divide (-6)\/v - (-288)\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -211?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4710 + -4080. What is the smallest common multiple of 81 and h?\nAnswer: 5670","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -1) + 9 + 48 - (-38 + 5 + 24)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4160, -0.2, -0.4, -1 in increasing order.\nAnswer: -4160, -1, -0.4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of 0*h**6 + 0*h**4 - 1\/70*h**7 + 31\/30*h**5 + 1\/42*h**8 + 0*h + 0 + 154*h**2 + 0*h**3. Find the third derivative of k(n) wrt n.\nAnswer: 480*n**2 - 72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -396, -395, -394, -393, -392, -391?\nAnswer: -390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/12*(4\/(-5))\/(-2).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 962 is divided by 40?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4334440 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + sqrt(2736) + -4)*-3 + ((2*sqrt(2736) + -5)**2 + sqrt(2736) - (sqrt(2736) + 3 + sqrt(2736) + -2 + sqrt(2736) - sqrt(2736))).\nAnswer: -36*sqrt(19) + 10896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from wwkwlmwkllwwl.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/16)\/(((-33096)\/(-448))\/197).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 86610 and 116750280.\nAnswer: 116750280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0021472 to five decimal places.\nAnswer: 0.00215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9074306237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8509690*o**5 - 5*o**2 + 54312.\nAnswer: -510581400*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/5 of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.65 minus 0.06?\nAnswer: -14.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111012011 + 21210102?\nAnswer: 202222120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*t**4 - 1805*t**3 - 9035*t**2 + 18905*t - 8050 = 0. Calculate t.\nAnswer: -115, -7, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6799 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -0.8. Let j = 21112\/94923 - 2\/10547. Which is the closest to s? (a) -0.2 (b) j (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 4. Suppose -5*b + 141 - 53 = m*l, -5*l + 100 = 5*b. Suppose 5*u = a - 45, 3*u - 7*u = 5*a - 80. What is the lowest common multiple of a and b?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1740 (base 13) in base 4?\nAnswer: -311220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11.9 + -1.8. Let j = h - -14. What is the closest to 0 in -5, j, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 11:29 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1004242132 (base 5) to base 9\nAnswer: -3725280","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 - -15.1. Let n = -0.5 - -0.2. Let d = n + 0.8. Put 2, d, p in descending order.\nAnswer: 2, d, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 129*l + 12. Let i be r(-4). Let u be i\/35*(-10)\/2. Let w = -2 + 11. What is the highest common factor of u and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - 5 - 0 - (0 + 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 7423 + 1288 = 5*r, 3*r - f + 3688 = 0. Let w = 1839 + r. List the prime factors of w.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-23)\/(138\/60) + 11 + 954\/(-837) and (-76)\/(-6)*(-1)\/(-42).\nAnswer: 1953","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12139701 is divided by 1668.\nAnswer: 1665","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2 less than 22808601570?\nAnswer: 22808601568.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 29762 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/(-18))\/(49\/28). Which is the second biggest value? (a) -14 (b) -1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of -385*z**2\/2 - 28*z - 39. What is the hundreds digit of x(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 1:52 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -575 + 1106. Calculate the highest common divisor of 9 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 9:26 AM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -183 divided by 3.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 767072.5 weeks to hours.\nAnswer: 128868180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 144, 409, 808, 1341, 2008?\n\"Answer: 67*t**2 + 64*t + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 247126*x + 674*x**2 + 93 - 247126*x with respect to x.\nAnswer: 1348*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, g: 4}. What is prob of sequence pgpp?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -486 + 5?\nAnswer: -481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 277 (base 14) to base 3.\nAnswer: 200102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -134, -142, -158, -188, -238?\n\"Answer: -g**3 + 2*g**2 - 7*g - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 4261 divide 1772568600?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -71, -115, -143, -155, -151?\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (0 + sqrt(720))*4.\nAnswer: 4 + 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of v**2 + 1. Let x(r) = r + 4. Let z be x(-3). Let i be h(z). Solve 5 = 3*w + i*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 0*h - 6 = 2*h, -3*q - 3*h = 18. Let m be (5\/10)\/((-1)\/(-3)). Let j = 35 - 69\/2. Which is the nearest to q? (a) m (b) j (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 1 + 0 - 235*s**3 + 43*s**3 + 4*s**2 to j + q*s**3 + b*s**2 + m*s and give q.\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10100100100110101 (base 2) in base 4?\nAnswer: 110210311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 42 + 2 = 0. Suppose 3*x = -w - 16, -3*w - m = -0*w + 2*x. What is the closest to 1 in 0.3, 0.4, w?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 3*n**2. Let d(i) be the first derivative of -44*i**3\/3 + 4*i + 4502. Determine d(q(r)).\nAnswer: -396*r**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.044 + -0.256. Which is the biggest value? (a) 5 (b) m (c) -2 (d) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2662*a**3 - 1331*a**2 - 1331*a. Let z(x) = -3*x**3 - x**2 - x. Determine 6*u(t) - 7986*z(t).\nAnswer: 7986*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 118 - -135. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 - 16*r**2 + 43*r - 8. What is c(13)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by 119846\nAnswer: 15\/119846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 544 and 2832?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 16) + -7 + 6 + (4 - 5).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away 130639?\nAnswer: -130638.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {w: 7, k: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1901\/912 - -70\/57. What is the common denominator of c and 77\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -84, -361, -952, -1965, -3508, -5689, -8616, -12397?\nAnswer: -17140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 556264 (base 7) in base 13?\nAnswer: 35941","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of 0*q**2 + 13\/20*q**5 - 1\/2*q**4 - 70\/3*q**3 + 61*q - 2. Find the second derivative of l(a) wrt a.\nAnswer: 78*a - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.188, -13, -11\/42?\nAnswer: -11\/42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -4, -0.5, 146, -1\/3, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l + 5. Let r be h(-11). Suppose c = 5*a + 4*c - 26, -3*a + 2*c = -r. Let v = 35 + -24. Solve x - 4*x + 2*q = -a, -4*x + v = -3*q for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, r: 15}. What is prob of picking 3 y and 1 r?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 14 = -2*z - 42, -2*z = -3*n - 7. Let r(o) = o**3 + o**2 - 12*o + 3. Let q be r(z). Solve 0 = -q*b + 4*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 AM and 4:54 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of i**3\/3 + 2*i**2 - i. Let k(f) = -2 + 2 + 8*f + 2 - 5. Let o(b) = b - 1. Let h(w) = -k(w) + 6*o(w). What is 3*h(m) + 2*t(m)?\nAnswer: -2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 0, -2.8, -3, -1\/3, 0.5.\nAnswer: -3, -2.8, -1\/3, 0, 0.5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -110082, -440362, -990828, -1761480, -2752318?\n\"Answer: -110093*t**2 - t + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -x*y**3 - x*y**2 + 561*x - 33*y wrt y.\nAnswer: -3*x*y**2 - 2*x*y - 33","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - (-4 - -1))*-2. Let m(t) = 3*t - 2*t - 2*t**2 - 5*t + t**3. Let k be m(3). Sort k, 4, n in decreasing order.\nAnswer: 4, n, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -241.8 + 241.8. Which is the nearest to -0.9? (a) x (b) 0.07 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 153 = -16*j + 132 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1971 - -1966. Which is the second smallest value? (a) 3\/16 (b) s (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -8*s + 10 - 4*s**2 - 3 - 2*s**4 - 1 + 42*s**3 - 34*s**3 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*d**3 + 133 + 36 + d**2 - 34 - 135.\nAnswer: 88*d**3 + d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 23801 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6*19.\nAnswer: -11.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 112 (base 4) in base 3?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 341 - 375c?\nAnswer: -341b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 643363.7mm to kilometers.\nAnswer: 0.6433637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -272, -1071, -2402, -4265, -6660?\n\"Answer: -266*b**2 - b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -5*s - 19. What are the prime factors of -4 - 2744\/(-12) - s\/(-9)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/((10\/5)\/(7\/(28\/(-104)))). Solve x*v - 81 = -159 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 62, 17, 6, 0 in ascending order.\nAnswer: 0, 6, 17, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6969?\nAnswer: 3, 23, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2168 rounded to 2 dps?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 3713?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g**2 - 13*g + 12. Determine w(17).\nAnswer: 369","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3533231, -3533213, -3533193, -3533171, -3533147?\nAnswer: -3533121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3, -54, -185, -432, -831, -1418, -2229, -3300?\n\"Answer: -6*c**3 - 4*c**2 + 3*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**4 + 1280*s**3 + 14880*s**2 - 17221120*s - 1105841920.\nAnswer: 5*(s - 116)*(s + 124)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5881 - -6096. List the prime factors of j.\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -333, -81, 335, 915?\n\"Answer: 82*t**2 + 6*t - 421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 3*o + 55 + 185, h + 3*o - 111 = 0. Suppose 4*d = h - 37. Calculate the lowest common multiple of d and 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**3\/2 - 35*n**2\/2 + 25*n.\nAnswer: 5*n*(n - 5)*(n - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -0.1 (c) 0.5 (d) -1\/112 (e) 4 (f) -30 (g) -4\/221\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-70998*i + 17*i**2 + 2 + 70998*i)*(2*i - 2*i + 2*i**2).\nAnswer: 34*i**4 + 4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 23695903 divided by 2154173\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + -2 + sqrt(832))*5*5)**2.\nAnswer: 20000*sqrt(13) + 522500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*k = -47*k + 88 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 p when three letters picked without replacement from oookopkkskpkkk?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 18 = m - 3*i, 2*i + 58 = 5*m. Let u be 5 - m\/15*123. What is u rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 9, y: 1, g: 2, o: 2, k: 2, s: 4}. What is prob of picking 1 g and 3 f?\nAnswer: 56\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -627*o**5 - o**4 - o + 13 wrt o.\nAnswer: -12540*o**3 - 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {h: 1, b: 1, c: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m - 447. Let b(y) = 128*y + 2. What is b(g(v))?\nAnswer: -256*v - 57214","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 78*f**2 - 38*f + 361. List the prime factors of h(-78).\nAnswer: 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1543 and 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.4 + 1879.5.\nAnswer: 1878.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2*z - 104680 = 0. Let m be (z\/4)\/((-21)\/6). Let j = m - -1863. What is the common denominator of -71\/2 and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 4*o + 38 - 16, -4*d + o + 37 = 0. Calculate the greatest common divisor of 250 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 10*u**2. Let o(z) = 2073*z**2. Give r(o(f)).\nAnswer: 42973290*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 6*f**2 + 6*f + 11. Let o be g(-7). Calculate the highest common factor of 45 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*1)\/sqrt(7)*2 - sqrt(44)\/(2*sqrt(4)*-3).\nAnswer: 13*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115702260?\nAnswer: 2, 3, 5, 1928371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of 42*r + r**3 + 57 - 45\/2*r**2. Suppose d(l) = 0. Calculate l.\nAnswer: 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-18))\/((-10)\/3*((-1785)\/140)\/(-17))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8593995203 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + y = -16, -2*y - 4 = u - 5 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + 10052?\nAnswer: 10051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.05, -110, 4\/3 in ascending order.\nAnswer: -110, -0.05, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 871727?\nAnswer: 871727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2730305?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from ddedzddddedzjeedddd?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of 10*o + 0 - 5\/48*o**3 + 1\/48*o**4 + 1\/8*o**2. Let v(m) = 0. What is m?\nAnswer: 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**8*i)\/i)\/i**(-2\/15))**(33\/4) assuming i is positive.\nAnswer: i**(671\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -2\/13, -24\/1169 in descending order.\nAnswer: -24\/1169, -2\/13, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 27, 227, 561, 1029, 1631, 2367?\n\"Answer: 67*x**2 - x - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-12) - (-14)\/3. Suppose 4*l + 5 = -2*j + l, -z*j = -4*l - 45. Let v(y) = -1 + 0*y + j + y. Determine v(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/3 + 1562*d**2\/3 - 520*d.\nAnswer: -2*d*(d - 780)*(d - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - z + 31 = 126, -5*z = -m + 43. Suppose -8*n - 7*n + 8*n + m - n**2 = 0. What is n?\nAnswer: -9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = 3*v, 3*v + 0*v = -y - 18 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 8:58 AM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3.3 * -3\nAnswer: -9.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -78*d + 54*d - 60*d - 588 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10141213005 - 1?\nAnswer: -10141213010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*o - 201 + 273 = 0. Let f(a) = -3*a + 1. Let h be f(-1). Suppose b - 5 = -h*t, -4*t + 3 = 4*b - 5. Calculate the least common multiple of o and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 3*f = -7, 30*l + 6*f - 4 = 25*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*x - 218 - 412. Let p(y) be the first derivative of y**4\/2 + y**3\/3 - y**2 - y - 1. Let v be p(2). Calculate the greatest common factor of v and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 + 4273?\nAnswer: 4208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 292*j - 176 + 355 - 181 as n + i*j and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2563*f**2 + 78*f + 2562*f**2 - 2*f**4 - 22*f**4 - 112*f + 111*f as k*f + i*f**4 + q*f**3 + u*f**2 + b and give i.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, t: 2, u: 1, c: 1, g: 1}. Give prob of picking 1 c and 2 t.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 18355 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/10*(4 + -29). Suppose 3*z = 6*z + 5*h + 52, l = -4*h. Let v = z - -26. Solve 3*k = -0*q + 5*q - v, -q + 5 = -k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x + 8. Let v(j) = -j - 9. Let b(o) = 6*g(o) + 5*v(o). Let m be b(0). Solve -8*u + m*u + 25 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**2 + 4*u**2 + 7*u**2)*((-u - 3*u + 2*u)*(5*u + 0*u - 3*u) + 4*u**2 - 2*u**2 - u**2 + 3 - 3 - 2*u**2).\nAnswer: -50*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.356147 litres in millilitres?\nAnswer: 4356.147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 1 + (-2 - -1) + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1946*j - 112*j**4 - 77*j**4 + j**2 - 2044*j wrt j.\nAnswer: -4536*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1539) - sqrt(1539))**2*-3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 16, o: 4}. What is prob of sequence mmm?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of m**6\/27 - 4*m**5\/15 + m**4\/2 - 1. Factor d(o).\nAnswer: 2*o**3*(o - 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1 + sqrt(180)))**2 - (((sqrt(5) + sqrt(80))*2)**2 + -2).\nAnswer: 192*sqrt(5) + 2398","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 104 - 88. What is the second derivative of -15*l**2 + 0 - 13*l - d*l**2 - 32 - 2*l**3 + 12*l wrt l?\nAnswer: -12*l - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, g: 3, y: 2, a: 1, c: 7}. What is prob of picking 2 y and 2 c?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-4 - 4)*-8 - (-720)\/(-135)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (9 - (-49 - -32)) + (9 - -6)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2919332917 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 79 + 24*s - 171 + 80 to b + d*s and give b.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*k = -36*k - 218. Let w = -16.2 + 14. Put 1, w, k in increasing order.\nAnswer: w, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 10. Find the third derivative of 10*o**2 + 1 - 4*o**2 + 2*o**4 - y wrt o.\nAnswer: 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/2 and 27\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3736 is divided by 624?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3650 is divided by 58?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 674 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a\/(a*a*a**11*a)*a)))\/a*a**(-5)*(a**(-1)*a)**(-6) assuming a is positive.\nAnswer: a**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.03*-317.736\nAnswer: -9.53208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 - 13. Let v be -2 - ((-10)\/18 - 1). Put 4, v, i in decreasing order.\nAnswer: i, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 314628, 314801, 314974, 315147, 315320, 315493?\nAnswer: 315666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence izh when three letters picked without replacement from tmzkzhikm?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -2, 1 in increasing order.\nAnswer: -2, 1, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2. Let j(x) = -3*x**2 + 5*x + 5. Let o(m) = 0*m**2 - 7*m**2 + 14 + 14*m - 5*m**2 + 4*m**2. Let t(g) = 14*j(g) - 5*o(g). Calculate t(z(v)).\nAnswer: -2*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 324 > 409?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12042407?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 1.3. Let h(c) = 2*c**2 + 33*c - 1. Let n be (-10 - -5) + 1 + -12 + 0. Let k be h(n). Is s at least k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -29, -1\/3, -0.3, -5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 14 = 3*p, -3*g - 6*p + 4*p - 9 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -22*d - 58. Let z(h) = -5*h - 134. Let j be z(-26). What is the remainder when 118 is divided by c(j)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23.347 + 23.367. What is the fifth biggest value in t, 4, 2, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + b + 8 = -3*b, v - 3*b - 6 = 0. Let r = -216 + 223. Let y = r + 18. Solve -5*a = -v*a + y for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -15*a**3 - 11*a**2 + 19*a - 55. What are the prime factors of j(-7)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -2*o - n, -5*o = -2*n + 11 - 1 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 268.3 + -280. Let r = d + 12. Which is the smallest value? (a) 5 (b) -2\/3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 7)*(-17 + 75 - 23)*(-o**3 + o**3 + 5*o**3).\nAnswer: 875*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/9, 0.2, -206, -1\/3, 0.10512?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.6 + -2. Let r = 29 + -40. Let c = r - -6. What is the second biggest value in a, 4, c?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -1. Let y = 17 + n. What is the highest common factor of y and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121 - 112 - 9 + 3*a.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 + 3)\/(0 - -1). Let l(j) be the third derivative of j**6\/60 + j**5\/15 + j**4\/8 + j**3 + j**2. Is l(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-91)\/(-3) - (-1)\/(-3). Let d be 4\/6 - (6 - 220\/30). Suppose d*o + o = i. Is o a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 + d - 12. Let k be z(-5). Let x(r) = -r**3 + 8*r**2 + 12*r - 3. What are the prime factors of x(k)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 11359, 0.4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 79164.87 micrometers in millimeters?\nAnswer: 79.16487","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 280 = -3*g, -g - 2*p + 96 = -p. Let c = g - 51. Solve -6 = -4*k - 5*w - c, -3*w = -2*k + 9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*j + 0*j**4 - 9*j - 2*j**4 + 4*j wrt j.\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(-2))\/((-4)\/208). Suppose -4*x + 26 + x**2 - 5*x**2 - u = 0. Calculate x.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 7) + -4 + -19 + 21.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -0*j - 3*j. Let n(d) be the second derivative of -5*d**4\/6 + d**3\/3 - d**2\/2 + 74*d. Give n(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32 + -33. Let y be (-3)\/(-9) + (-2 - 174\/(-18)). Which is the second biggest value? (a) y (b) -1\/9 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1385905?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/363 - 1064\/9075. Suppose -58*o - 4 = -59*o. Let w be (-65)\/39 + o\/6. Do w and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/10 and 415\/100 + (-1)\/4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 515483 (base 14) to base 5\nAnswer: 1200222110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((1*(sqrt(114)\/sqrt(6) - sqrt(19))*6)**2 + (sqrt(133)\/((sqrt(77)*2)\/sqrt(11)))**2).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1*307)\/((-1656)\/(-120) - 14).\nAnswer: 5, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/13 (b) -5\/2 (c) 4 (d) -59 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 5*u - 1577195 = 0, 2*u + 394302 = -80*i + 81*i. Round i to the nearest 10000.\nAnswer: 390000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than -0.9?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 6338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10007, 12, 417 in decreasing order.\nAnswer: 10007, 417, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 2*l**2 - 3*l**4 + 4*l**2 + 10*l**4 - l**2 to the form u*l**2 + q*l**3 + b*l + y*l**4 + m and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z**2 + 2*z - 14. Let a be r(0). Let w be ((-21)\/(-6))\/((-7)\/a). Suppose -w*k - 63 = -10*k. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventeen halves of a hour?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6330\/396 + -16 - (-2)\/11\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -26*x + 17. Let t be f(-1). Which is smaller: 1 or t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*a**3\/7 - 44*a**2 - 104*a\/7 = 0. What is a?\nAnswer: -1\/3, 0, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oououuloouuouu. Give prob of picking 1 l and 2 u.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 1, -8 in decreasing order.\nAnswer: 1, -2, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 7:07 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 46840943?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12331.5 + 0.172269.\nAnswer: -12331.327731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -137 - -139. Let i be (3*(-8)\/(-6) - -14) + o. What is the highest common divisor of i and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5039.\nAnswer: 5039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2 + -0.3. Let b = 16 + 0. Let c = b + -15.7. What is the second smallest value in a, -3\/7, c?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**2)**46\/(p**(-1\/4)*p**8*p))\/(p**8\/p*p*(p*p*p**3)\/p*p*p**(2\/3)*p**(-6)) assuming p is positive.\nAnswer: p**(907\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, 2, -4, -3.\nAnswer: -4, -3, 2, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 43124731 and 65956?\nAnswer: 1499","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 - 1. Let u(k) be the second derivative of 0 - 2*k + 3\/2*k**2. Suppose 37*w = 118 - 7. Determine w*x(o) + u(o).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -38.06 - -38. Which is smaller: 1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*a + 3*a**2 + 26*a - 97*a + 22*a.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -6*g**3 - 5*g**2 - 3*g. Let r(p) = -p**3 - p**2. Calculate 3*r(c) - w(c).\nAnswer: 3*c**3 + 2*c**2 + 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -0.1194?\nAnswer: -0.1194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5102, 9462, 13810, 18140, 22446?\n\"Answer: -c**3 + 4367*c + 736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 4*w + 2 = 0, i - 39 + 33 = 4*w. Solve b = -2*b + y - 16, y - 11 = i*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 4*m**2 - 4*m + 4. Let y be x(5). Suppose -5*t = -y*t + 44. Suppose 3*w - t*w = -1136. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 84 - 84. Suppose v*p - 12 = -2*p + 3*c, -4*p - 4*c = -4. What is the tens digit of ((-763)\/28 - -1)\/(p\/(-8))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 40 + 32)*(-3*x**2 + 25*x**2 - 10*x**2).\nAnswer: 828*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3361 or 0.2?\nAnswer: 3361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 2)*(-1 + 2*j**3 + 1) + 6*j**3 + j**3 - 2*j**3 + 8*j**2 - 2*j**3 - 3*j**2 + 39*j**2.\nAnswer: j**3 + 44*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 44 + -25. Let o = 58\/3 - s. Let w = 17 + -12. What is the closest to o in w, -5, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*b + 969*b**3 + 927*b**3 - 3 - 1886*b**3)*(-2 + 4 - 1).\nAnswer: 10*b**3 - 9*b - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -105, -260, -687, -1524, -2909, -4980, -7875, -11732?\nAnswer: -16689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/3 + 59*h**2\/3 - 164*h\/3 - 224\/3.\nAnswer: -(h - 56)*(h - 4)*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 36.498284.\nAnswer: -41.498284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -13758532 take away -8153?\nAnswer: -13750379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b**3 + b**3 + b**3 + b**3.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = 3*j - 4*g, g - 1222 = -2*j - 2437 + 1236 for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.02, -27, -0.08, -2622 in descending order.\nAnswer: -0.02, -0.08, -27, -2622","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 9*h**2 - 9*h. Let j be c(6). Suppose -l = -6*l + j. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.9176 take away 0.5?\nAnswer: 13.4176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 68\/625505?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 + 52*u + 277. Give t(-9).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.3835*10\nAnswer: -3.835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 2*v + 6, u - 3*v = -u - 2. Solve -u*k = 3 + 1 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 + (-10 - (24 + 20)) - (0 + 5)\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2 + 12152*x\/9 + 98368\/9.\nAnswer: -2*(x + 8)*(9*x - 6148)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 49 + -43. Let n(y) = y + 2*y - 3*y + k*y. Let p(g) = 2*g**2. Give p(n(a)).\nAnswer: 72*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -661.52099 rounded to the nearest ten?\nAnswer: -660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -7*z**3 - z**2 + 5*z + 6. Give s(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.79 - 0.39. Let s = p + -6.1. Let q = 0.7 + s. Put q, -2\/25, 2 in decreasing order.\nAnswer: 2, -2\/25, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = 3*y - 20. Differentiate 19 + 12*o - 36*o - 3 + y with respect to o.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 110, 543, 1718, 4007, 7782, 13415, 21278, 31743?\nAnswer: 45182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -3\/22 (c) -1 (d) 1\/5 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*d + d**2 - 8*d**2 - 9*d - 6*d**2 - 7*d**2 + 17*d**2.\nAnswer: -3*d**2 + 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/14 - (-74)\/(-14). Let v be -2*(-6)\/(-15)*h. Solve 10 + 0 = -5*n - 2*s, -4 = 2*n + v*s for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 77 + -47. Suppose -4*u + 10 = -w. Solve -r = 2*x + 1 - u, 0 = -2*x + 2*r for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -265 + 264.827. Let r = l - 0.027. Let y = 0 - -5. Sort r, y, 3 in ascending order.\nAnswer: r, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -23. Suppose 20 = 5*h - s. Does 6 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 20, 0, 7 in decreasing order.\nAnswer: 20, 7, 0, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1237*t + 23845 + 1405 - 1747 = 0 for t.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 6*i + 14. Let v be g(7). Let y(t) = 8*t + 100. Let a be y(-9). Calculate the highest common divisor of a and v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 394 is divided by 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (44\/33)\/((-2)\/(-3))*-1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5, 8, 47, 124, 251, 440, 703, 1052?\n\"Answer: 2*v**3 + v**2 - 4*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1656 divide 34843896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11962 - -12037. Which is smaller: -46 or l?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 551835?\nAnswer: 3, 5, 12263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + g - 13 = 0, -4*a - 4*g + 2 - 14 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 5*o = 3*v - 9, 4*v + 2*o = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -243898 - -243979. Suppose 0 = -3*h + 4*h - 238. What is the remainder when h is divided by w?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one eighths of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -4*n**4 + 53132*n**3 + 2238948*n**2 - 4637276*n + 2345200 = 0.\nAnswer: -44, 1, 13325","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (27\/18 - 109629\/126) + (-12)\/28. Let p(t) = 34286*t**3 - 869*t**2 - 869*t + 869. Let u(y) = -79*y**3 + 2*y**2 + 2*y - 2. What is s*u(i) - 2*p(i)?\nAnswer: 79*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-21 - -13) + -19.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4015 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3*n = 2*n. Suppose 0 = l + 2*c - 47, -3*l - l - 4*c + 180 = n. Let s = l + 2. What is the highest common divisor of 5 and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -3492*x**3 + 40*x**2 + 7580. Let d(f) = -1166*f**3 + 12*f**2 + 2527. Let j(g) = -10*d(g) + 3*o(g). Differentiate j(z) with respect to z.\nAnswer: 3552*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1749, 8021, 23339, 52227, 99209, 168809, 265551, 393959?\n\"Answer: 754*t**3 - t**2 + 997*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19 * 0.4.\nAnswer: 7.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/7 + 1943*l**2\/7 + 3865*l + 13503.\nAnswer: (l + 7)**2*(l + 1929)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.1 (b) -0.4 (c) -0.5 (d) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dx when two letters picked without replacement from dddxxdxxdddddddxdd.\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (400\/(-12))\/25*-1*6\/(-4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 98, 170, 232, 278, 302?\n\"Answer: -y**3 + y**2 + 76*y + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*a**2 - 402*a**3 - 6*a**2 - 3*a**2.\nAnswer: -402*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/((-90)\/(-1239)) + (-6)\/10. Let c = -29 + v. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 125975140 by -230.\nAnswer: -547718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of -3*w**5\/20 - w**4\/2 + 3*w**3\/2 - 38*w. Factor f(x).\nAnswer: -3*x*(x - 1)*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 0.066409.\nAnswer: -0.132818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128 - 88 = 172*a - 190*a for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n - 684 = -48*n. Let i be (2 - (-32)\/(-18)) + 2084\/n. Calculate the greatest common factor of i and 406.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 215*s**3 + 3*s**2 - 2*s + 9. Let l(r) = 644*r**3 + 8*r**2 - 6*r + 24. Give -3*l(f) + 8*y(f).\nAnswer: -212*f**3 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -811, -1266, -1731, -2212, -2715?\n\"Answer: -r**3 + r**2 - 451*r - 360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8896*z + 105126 = -428634 for z.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 63732773.\nAnswer: 1\/63732773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 10175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a microgram in nanograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -56*w**2 + 5*w + 6. Let h be i(-4). What is h rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 h when four letters picked without replacement from {z: 6, k: 3, e: 1, h: 4, s: 2}.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 3:10 PM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10705 divided by -42.\nAnswer: 10705\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -9*q + 405. Give i(45).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 6 = -4*x. Suppose 0 = -h + 6 - x. Suppose 4*s - 83 = -5*f, -2*s + 15 = h*f - 36. Is 13 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from mrmmrmm?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 24401 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 201210212110 (base 3) in base 4?\nAnswer: 1133030133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 5312086 in decreasing order.\nAnswer: 5312086, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/34 and (-1940)\/(-8)*2\/(-20).\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73673 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than -2869.4357?\nAnswer: -2869.5357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence adb when three letters picked without replacement from {i: 1, y: 1, b: 1, a: 1, d: 4}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((2*sqrt(204) - sqrt(204))\/sqrt(12) + sqrt(17)) + 5 + (sqrt(2448)*-1*2 - (1 + sqrt(2448)*1 + sqrt(2448))))**2.\nAnswer: -352*sqrt(17) + 32928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -25, -26, -25, -22, -17, -10, -1?\n\"Answer: o**2 - 4*o - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - -8) + -4 + -1 + 4. Suppose -w - 641 = -f, w - 16 = j*w. What is the remainder when f is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -7*j**3 - 2*j**2 + j - 1. Let c = -9 - -7. What is the tens digit of s(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 4*n - 12 = -15, a - 5*n = -18 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1713039 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 761179 is divided by 487?\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -3*u. Let n(j) = 8934*j. Determine n(a(d)).\nAnswer: -26802*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 9:10 PM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.203367 less than -267.365?\nAnswer: -267.161633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.958 + -0.042. Let o = 0 - -1.4. Let j = t + o. Which is the closest to 0? (a) -5 (b) 2\/3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20300201 + 10112323?\nAnswer: 31013130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + s**2 - s - 7. Let l(c) = -c**3 + 5*c**2 - 4*c. Let i = -3 + 7. Let f be l(i). Determine y(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + l = -0*l - 69, q = 5*l + 22. Suppose n - 6 = 26. Calculate the remainder when n is divided by q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + j - 804. Let n be (j\/3)\/((-2)\/(-15)). Round n to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(114)*-1)\/(sqrt(48)\/(sqrt(40)\/sqrt(5)))*-1.\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 556*a**4 - 1684*a**4 - 106*a**2 - 3010*a**4 + 3 wrt a.\nAnswer: -99312*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = 2*d - 128. Let g be d\/3 + 2\/3. Suppose 6*r - 3*r = g. What are the prime factors of r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, 0.6, 0.3, -2\/77, -6, 0.5, -0.1?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 1 + 2)*(0*t - t + 2*t + (t + t + 0*t)*(-1 + 1 - 3) - 12 + 12*t + 12) in the form y + x*t and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence shss when four letters picked without replacement from sshs?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of -23*d**2\/2 - 262*d - 128. Calculate the remainder when n(-12) is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 328083234, 328083228, 328083222?\n\"Answer: -6*f + 328083240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 15*x**2 - 4*x - 2. Let y(t) = 3*t + 49. Let s be y(-15). Suppose -5*c - 10 = 0, -2*h + 3*c + s = -0. Let w be f(h). Round w to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/3*2)\/(24\/(-2556)). Let u = y + 75. Calculate the remainder when 27 is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*t - 2*t + 3*t)*(-4*t + 3*t**2 - 288 + 288 + (-t - 2 + 2)*(1 - 1 - 2*t)) to b*t + y*t**2 + z*t**3 + n and give z.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.053 + 3.453. Let l = -3.4147 + m. Round l to 3 decimal places.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -255 divided by -67183\nAnswer: 255\/67183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*p + 0*p + 5*p)*(-1 + 0*p**2 + 2*p**2 - p**2) to the form b*p**3 + f + m*p + z*p**2 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.8361514 to one dp.\nAnswer: -7.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r + 0*r - 3*j = -118 + 145, 4*r - 84 = -12*j for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 3d2da?\nAnswer: 3d2d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -74322 and -74220 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(16\/(-48)*-1*3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-3) - (-2 - -1). Suppose -8 = -4*a + 4*d + 8, 5*d + 8 = k*a. Suppose 32 = a*i - 4*h, -3*h + 56 = 4*i - h. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**2 + 540. Let i be v(0). Suppose 16*h = 6*h + i. Calculate the remainder when h is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 92?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*z - 19772 - 12163. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 77*x**4 + 133 wrt x.\nAnswer: 308*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 PM and 11:31 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/298458 and -76\/687.\nAnswer: 68346882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.7, 1\/2, 2\/23, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 31125004 (base 6) in base 4?\nAnswer: 3123031330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 3*x + 2 = 0, 3*b - 13 = -4*x - 32 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/12)*n*n*n**(-1))**7*(n**(-7)\/n**(-7))\/((n\/n**(-7))\/(n*n*n*n*n**(2\/25)*n*n*n)) assuming n is positive.\nAnswer: n**(1649\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -1149.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, w: 12}. What is prob of sequence wo?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence el when two letters picked without replacement from ilvlevlwlwewlwlllel?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10.805 - -11.1. Let w = i + -0.39. Let v = w + 0.1. What is v rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1573 times -383?\nAnswer: 60.2459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-49)\/(-28) - 0)*(-150)\/1575?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2\/2 + 106077*s\/2 - 35383755.\nAnswer: 3*(s - 655)*(s + 36014)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2564, 2566, 2568, 2570, 2572?\n\"Answer: 2*d + 2562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 - 2849*k + 3. Let z(l) = -522*l. What is z(a(b))?\nAnswer: -522*b**2 + 1487178*b - 1566","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 39*q**2 + 6*q - 9. What is the tens digit of r(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 2*b + 2, 3*u + 5*b + 0 = 1. Let y be -4 - (-2 + (-3)\/3). Let o = y - -2. Is u <= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + b - 3*i = 1, 2*i - 11 = b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*y**2 - 1545*y**3 - 5*y**2 + 3065*y**3 + 1 - 3*y + 5*y - 1538*y**3 to d*y + f*y**3 + p*y**2 + w and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.6? (a) 0.3 (b) -76\/17 (c) 4 (d) -2\/7 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42)\/27 + (-83420)\/(-3870)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 22.93 in -22, -5\/3, -0.5, -7, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 - 1 + 0)*(1 - 2 + 3) - 2 + 0 + 1)*(-z - 4*z + 4*z)*(-15*z + 0*z - 3*z) + (0*z + 2*z**2 + 0*z)*(-2 + 0 + 1) as m*z + g*z**2 + r and give g.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**6\/(i*(i**(-15)*i*i)\/i)*(i*i*i*(i\/i**(-1\/2))\/i*i*i)\/i*i*i\/(i*i**(8\/5)) assuming i is positive.\nAnswer: i**(229\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2204*a + 7605. What is the units digit of b(-29)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 + 137*j + 2014. Calculate s(-17).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 532, 534, 536, 538, 540, 542?\nAnswer: 544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 - -72. Suppose 0*t - 5*t + 140 = -4*y, -10 = 2*y. What is the remainder when x is divided by t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -6*p + 8. Suppose 19*x = p*x + 565. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -218 = 4*y + g, 0 = y + 3*y + 4*g + 224. Does 4 divide 9\/(y\/(-42)) + 200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/4)\/(a\/(a**0\/a)))**(-19)\/((a**(2\/7))**(-7\/2)\/(a\/(a*a*a**(-1)))**(-36)) assuming a is positive.\nAnswer: a**(137\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 67462497 rounded to the nearest 10000?\nAnswer: 67460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(2\/43)*p**(-6)*p**(6\/19)\/(p\/p**(-1\/81)) assuming p is positive.\nAnswer: p**(-440080\/66177)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1116, -16, -2, -3.\nAnswer: -1116, -16, -3, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -93, -3, 1\/2, 3 in decreasing order.\nAnswer: 3, 1\/2, -3, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -107.5 - 0.5. Let i = q - -107.613. Round i to 2 dps.\nAnswer: -0.39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5724037?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 366 = -2*w, w - 4*y + 185 = -y. Let v = 199 + w. Solve -4*a = a + v for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/((-1)\/(2\/(-4))). Suppose -2*n = -2*h - 4, -n - 2*n + 4 = -4*h. Let p = n - w. Solve 0 = q + p for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -1. Suppose 9*t - 18*t + 243 = 0. Suppose -319*z = -310*z - t. Solve 2*b = 3*b - q*y - z, 4*y + 9 = 3*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 251 = -0*c - c - 4*f, 5*f - 25 = 0. Let v = c + 386. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -49633.82 (b) -5 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 62 + -62. Sort -1, -4, y, 2 in descending order.\nAnswer: 2, y, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 4*p + 10 = 0, -4*p - 22 = -5*n + 2*n. Let y be (-16)\/(-3)*(-48)\/(-32). Suppose -7*q + 20*q = y*q. Sort q, 1, n in increasing order.\nAnswer: q, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of 2*g**3\/3 + g**2\/2 - 2*g - 2. Let x = 8 - 6. What is the units digit of m(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 146 + -51. Does 11 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z**3 - 8*z**3 - z**3 + (-4*z**3 + 5*z**3 - 2*z**3)*(-179 - 171 + 909) in the form n*z**2 + o*z + d + a*z**3 and give a.\nAnswer: -566","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17628)\/(-124))\/(-13) + ((-126)\/31 - (-84)\/21)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/363 and (-4)\/11*245\/(-3528)*(-129)\/(-90).\nAnswer: 13068","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 0 + (-5 - (6 + -11)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1422684150 to the nearest 1000000.\nAnswer: 1423000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(-1)\/(-2)*(-475)\/(-75)*1?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16083 is divided by 945.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from ppppppppppcc?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - a - 20 = a, -2*a = 3*u - 45. What is the remainder when 77 is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 20*k + 91. Let g be q(14). Solve -2*h + 3*r = -g - 5, 6 = 4*h + 3*r for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 20 = -0*l - 6*l, 5*l - 12 + 14 = 6*l + 6 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 - 8. What is the units digit of (-6)\/a*-2*5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2522 - 2643 = -11*o for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1705097 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.6656254871 to five dps.\nAnswer: 2.66563","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42362?\nAnswer: 2, 59, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-11)\/33)\/(2\/12) - -8. Let f(x) = -2*x**2 + 5*x - 11. Let w(l) = -l**2 + 2*l - 6. Let u(i) = 3*f(i) - 5*w(i). Determine u(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/15 + 4*u\/3 + 22\/15.\nAnswer: -2*(u - 11)*(u + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 94 take away 146?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (9*2\/(-4))\/3. Let b = 3469 - 3468.9. What is the closest to -1 in 0.5, z, b?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d + 17. Let q = 27 - 34. Let l be r(q). Calculate the highest common factor of 168 and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 384 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180582 + 324334 + 576414 = -5903*s for s.\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23450 + 23452. Put -2, 25, -10, t in ascending order.\nAnswer: -10, -2, t, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*w**2 - 72*w**2 + 147*w**2.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 69*d**3 - 253*d**2 - 54*d + 10. Calculate r(4).\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 11 (b) 4 (c) -3\/8 (d) -190\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22411 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -114\/420881 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 1:58 AM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 AM and 6:28 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 6*u + 183*u + 368 = 0. Put u, -4, 1, 30 in ascending order.\nAnswer: -4, u, 1, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 30\/40 + ((-10)\/248 - 1). Let h = z + 19\/279. What is the closest to -1 in h, -1, 0.01?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2226901?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 108?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -117048.1 from 0.275157.\nAnswer: 117048.375157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 0*s + c - 6 = 0, 4*s = 2*c - 20. Let q(x) = x**2 + x - 1. What is the smallest common multiple of 3 and q(s)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 61 + -6. Let n = -55 + d. Suppose n = -3*g - 4*k + 99, -g + 132 = 3*g - 3*k. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16735580 + -7.6.\nAnswer: 16735572.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 47*c + 31. Let o be ((-3)\/(-6))\/(1\/4). Calculate the remainder when d(o) is divided by 33.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 45351190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**2 - 2*h**3 + 0 + 2 - 5*h**2 + 0 to the form f*h + l*h**2 + w + z*h**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 253067, 506140, 759213, 1012286, 1265359, 1518432?\n\"Answer: 253073*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 37 = -7*j - 5*l, 5*j - 5*l = -5 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15)\/35 - (-12)\/28. Suppose -3*g + z*g - 12 = 0. Sort 1, -3, g in decreasing order.\nAnswer: 1, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 74 = 8*w + 26. Solve 2*v - 32*y + 27*y = 18, -w*v + y = -18 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -3*s + 3. Let g = -20 + 14. Let m(c) = -3 + 3 - 4 + 4*c. Calculate g*j(h) - 4*m(h).\nAnswer: 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 0*z - 5*z = 0, -3*z - 13 = -5*b. Round b to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 814 = -7*v + 11*v + 2*r, -2*v + 416 = 4*r. Does 44 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -9, -13 in ascending order.\nAnswer: -13, -9, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 6, z: 7}. What is prob of picking 2 z?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 + 6. Let n(f) = -3*f**4 + 45*f**3 - 33*f**2 - 84*f + 18. Let s(j) = 3*b(j) - n(j). Find w, given that s(w) = 0.\nAnswer: -1, 0, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -275 - 3*s + 276 + 0*s. Let h(b) = -b**3 + 11*b**2 + 5. Let g be h(11). Suppose 16 = 5*d + 4*q - 5*q, 5*d + g*q = 40. What is j(d)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -9591311, -38365273, -86321875, -153461117, -239782999, -345287521?\n\"Answer: -9591320*j**2 - 2*j + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lwppwppwp. What is prob of picking 1 l and 2 w?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 134235 (base 6) to base 11.\nAnswer: 9536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3*n - 2. Let u be i(-2). Suppose x + u*z - 3 = 88, 5*x = 5*z + 355. Is 25 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + h - 100, 3*q + 11 - 48 = 4*h. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19306.\nAnswer: 2, 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.6 + 2.599. Let q = -10381 - -10387.799. Let s = l - q. What is s rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k**3 - k**2 - k + 2. Let r be h(-2). Is (6 - 0)*56\/r a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -61, 5, -2, 3, 49, -13.\nAnswer: -61, -13, -2, 3, 5, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/5, 5, 2\/9, 365414?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jnjw when four letters picked without replacement from {c: 4, y: 3, j: 3, g: 1, n: 3, w: 2}.\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*((f**1*f)\/f)\/f)**(-7\/10))**(-1\/10) assuming f is positive.\nAnswer: f**(7\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4366800254?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 - 10*y**2 - 14*y - 10. Let j(i) = i + 4 - 1 - 2. Let u(o) = -c(o) - j(o). Let t be u(-8). What is t rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2\/13, 0.17, 0.4 in decreasing order.\nAnswer: 5, 0.4, 0.17, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - -692662.\nAnswer: 692663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 8, 16*q - 13*q - 2*w = 268. Suppose -3*f = 0, -3*f + 100 + q = 2*b. Is b a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*x - 197 - 23. Calculate the common denominator of 50\/17 and ((-32)\/(-40))\/(x\/30).\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*f**3*z**2 + 234*f**2*z + 100*f*z + 19457131*z**2 wrt f?\nAnswer: -6*f**2*z**2 + 468*f*z + 100*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/90)\/((-57)\/((-26163)\/102)).\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (h + 0*h - 2*h)*(-h + 2*h - 3*h)*(102 - 63 + 66) as p + v*h**2 + k*h and give v.\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {t: 3, v: 1, n: 5, q: 1, p: 2, u: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 48\/28 + -1 + -1. Which is the closest to v? (a) -0.3 (b) 0 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 1171*c + 3 + 4.\nAnswer: 1171*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1918 - 1935.167. Round c to the nearest integer.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175) - sqrt(175)*-1*1)*-4*4)**2.\nAnswer: 179200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -59887100 or -59887099?\nAnswer: -59887100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -701 < -453?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -144 - -222. What is the remainder when g is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42536 + 0.08253\nAnswer: -42535.91747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/32 and 73\/124?\nAnswer: 992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1502 - 2432 + 1340)*(-2 + 4 - 3)*(1 + p - 1).\nAnswer: 2594*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-50)\/(-90)*(-3)\/5)\/((176\/36)\/11)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 97 - 489\/5. What is the third biggest value in p, -33\/2, 0.4, -0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/2)\/(-33*10\/440).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101*n**3 + 221 + 208*n**3 - 221 - 105*n**3.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -472? (a) 41 (b) -2 (c) -150\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-1)\/21*-3*((-12)\/12)\/(-6)?\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 21*f**2 - 100*f - 451. Let p(z) = 4*z**2 - 26*z - 90. Let w(r) = 4*b(r) - 22*p(r). Solve w(o) = 0.\nAnswer: -1, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -8708 and 0.01?\nAnswer: 8708.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 703753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 AM and 3:09 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1138, 2276, 3410, 4540?\n\"Answer: -2*u**2 + 1144*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, y: 1, t: 4, u: 6, d: 3, g: 1}. Give prob of sequence ud.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 3*o**2\/7 + 3*o + 36\/7 = 0.\nAnswer: -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -118.448 to the nearest integer.\nAnswer: -118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 4 - 17 = 0. Solve -b*v = -6, c - 5*v = -0 - 5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2784 and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 79*h + 46*h**2 - 43*h**2 - 40*h + 135*h as j*h + a + n*h**2 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 23*s. Let f(k) = 11*k. Determine f(x(z)).\nAnswer: 253*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 971018 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2432 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 68 - 96. Let w = x - -28. Is -53 greater than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 2:33 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 47431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 972541150?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f + 3*f - f + (f - 5*f - f)*(-2 + 3 - 3) + 2*f - 61 - 8*f + 5*f.\nAnswer: 11*f - 61","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + 3*sqrt(171) + sqrt(171) - sqrt(171))\/sqrt(9) - -3*4*sqrt(19).\nAnswer: 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7749 + -7745. Solve -61*f + 12 = -2*w - 60*f, -4*f = x*w + 12 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2586*p**2. Let b(c) = -18*c. Determine l(b(h)).\nAnswer: 837864*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3029*c - 2718 = 3482*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m + 30. Suppose 5*g = 5*p - 22 - 48, 0 = -2*g + 4. Is 9 a factor of j(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 637*z**3 + 8*z - 2 - 8*z + 0.\nAnswer: 637*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -44641965*a**3 + 1461284 wrt a.\nAnswer: -133925895*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 11, o: 6, g: 2}. Give prob of picking 4 o.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 580464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48192 - 74*q - 48194 - 505*q.\nAnswer: -579*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -2. Let y(w) = 4*w**2 - 1031*w + 6042. Let b be y(6). Sort 60, v, b in descending order.\nAnswer: 60, v, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -0.41.\nAnswer: 0.164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -190*d**3 - d**2 + d - 2. Give w(1).\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/9)\/((-12)\/126*1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -39 - ((-6448)\/91 + 31)\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 9) to base 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.062 * -0.22.\nAnswer: -0.01364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00189698298 to 6 decimal places.\nAnswer: -0.001897","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -x + 2, -r - r + 5*x - 13 = 0. Let l be (r - 2)\/((-15)\/60). Factor 16*t + 91*t**3 - 2 + 650*t**l + 529*t**3 + 184*t**2 + 2.\nAnswer: 2*t*(5*t + 2)**2*(13*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/5 of a tonne?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 2*n + 789 = 0. Let a = 430 - n. What is the remainder when a is divided by 1859\/66 + (-2)\/12?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -217 - -228. Suppose 0 = 2*f - 1 - 3. Suppose 82 = f*q - 0*q. Calculate the remainder when q is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 51 - 54. Are t and -7\/3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u**3 + 2*u**2 - u - 1. Suppose -4*w - 6 = -5*j, -20 = j + j + 4*w. Let q be d(j). Let l = q + -9. Solve 4*b = -0*b + l for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1509, -6, 16 in decreasing order.\nAnswer: 1509, 16, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.08, 1, -7 in ascending order.\nAnswer: -7, 0.08, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 + -22. Let n(a) = 8*a**2 - 7*a + 5. Let v be n(z). Let q = v + -16. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -89.012695 rounded to one dp?\nAnswer: -89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (14\/12)\/((-19)\/(-114)). Solve -4*u = -w - 1 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 281 divide 1880452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - 0. Let f be (-6)\/q - (-1)\/2. Let n be 15\/(-3)*2\/6*(-27)\/(-15). Sort n, f, -9 in increasing order.\nAnswer: -9, n, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4986 or 6629?\nAnswer: 6629","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -321282743590003 - 6\nAnswer: -321282743590009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u - 10. Let n be g(-8). Let p = 109 + -108.03. Let k = p - -0.03. Are k and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 55836*i + 140. Let x be v(10). Suppose -3*j - x = 2*j. Round j to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -315.\nAnswer: -1\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -46, -3, 5, 62, 4 in descending order.\nAnswer: 62, 5, 4, -3, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 54465 to the power of 1\/2, to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 f when three letters picked without replacement from ffffffuvf.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 625213343 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 14*v**2 + 152*v - 21. Let d be r(-11). Which is greater: 1390 or d?\nAnswer: 1390","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, i: 1, r: 7, p: 2, j: 2, q: 1}. Give prob of picking 1 t, 1 q, and 1 i.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8, -2, 1, -6, 2\/25.\nAnswer: -6, -2, -0.8, 2\/25, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 612.8945 years in months?\nAnswer: 7354.734","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2012 (base 9) to base 16\nAnswer: 5bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 19?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3601*i = 29584 + 13843 + 28593 for i.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5128213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 0. Suppose 2*v + 189 = -x*y + 3*y, 2*v + y + 199 = 0. Let q = -61 - v. Is 19 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 14) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/6*(-6)\/3. Let z be (-14064)\/(-28) + u + -3. Let h = -56445\/112 + z. Find the common denominator of 71\/22 and h.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71283.\nAnswer: 3, 23761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + -156a124?\nAnswer: -156a123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1525520 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/(6\/(-5)) - 0 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168 = -4*a - 2*q, -9 - 83 = -2*a - 3*q. What is the remainder when 157 is divided by a?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*(1 - -21)\/(-1). Let i(m) = -m + 10. Let c be i(8). Calculate the highest common factor of u and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of -t**7\/735 + t**6\/60 - 3*t**5\/35 + 5*t**4\/21 - 8*t**3\/21 + 5*t**2 - 158. Factor l(h).\nAnswer: -2*(h - 2)**3*(h - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 times 704?\nAnswer: -29568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -4*v - 7. Let i be w(-2). Let p = 6 + -3. Let d be -1 + 3\/p + 4. Solve 3*l - i = -2*a, 3*l = -d*a - 1 + 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1827715*z**2 - 339906*z**2 - 780908*z**2.\nAnswer: -2948529*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/3857 and 68\/305109.\nAnswer: 5797071","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14690, -29398, -44100, -58796?\nAnswer: -73486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25.22 + -0.22. Let r = -22.3 + c. Round r to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -604*w + 7080 = -1419*w + 638*w for w.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*c**3 + 3*c**3 + 6*c**3 - 30*c**3.\nAnswer: -9*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1460 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.52814 * -5.\nAnswer: -7.6407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3530054363.\nAnswer: 11, 29174003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8015*j - 4016*j - 3999*j - j**3.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4567 or 972991\/213?\nAnswer: 972991\/213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 4*m - 104938. Let q(s) = -53*s. Give w(q(j)).\nAnswer: -212*j - 104938","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (12494 + 20307 - 25443)*(n**2 + 3 - 3) as r*n + z*n**2 + o and give z.\nAnswer: 7358","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*u - 65 - 9 = -14, 5*m + 28 = -u for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 - 8*u + 11. Let t be c(-9). Suppose -t - 19 = l + 4*j, -2*j = -l + 9. Let v(g) = -73*g - 1. What is the tens digit of v(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - 1233?\nAnswer: -1240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11924?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -1) + -6 + 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g + 1. Let l(z) = -1. Let t(o) = 5*i(o) + 6*l(o). Let r be t(-1). Suppose -r*k = 31 - 79. What is the remainder when 22 is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 45*z - 54*z + 18 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*s + 13*s - 10*s**3)*(-672*s**2 - 957*s**2 - 590*s**2 + 22*s**2).\nAnswer: 21970*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 236795686 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 66 and 16456.\nAnswer: 49368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 44524*p + 12021478. Calculate c(-270).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/2)\/(-1)*(264\/32 + -9)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 15 - 15 + (-i + 2 - 2)*(4 + 1 - 4))*(0 - 2 - 4)*(1 + 2 - 2)*(1 + 4 - 3).\nAnswer: 48*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 91068463 divided by -4\nAnswer: -91068463\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 4) to base 5\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 118618?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of s**7\/105 - 2*s**6\/75 + s**4\/15 - s**3\/15 - s - 3. Let l(m) be the first derivative of u(m). Factor l(k).\nAnswer: 2*k*(k - 1)**3*(k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*s = -26*s - 39*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 - 3*m**2 + 2*m - 6. Let l be n(3). Let z(t) = 3*t**2 + 3 - 4*t**2 + l + 5*t. Calculate the remainder when 11 is divided by z(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 273\/637*(-7)\/(-146). Is v greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 + 0.19?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c. Let p(o) = -11*o**2 - 6*o + 60. Let y(a) = -12*a**2 - 8*a + 63. Let k(r) = -4*p(r) + 3*y(r). Give k(x(s)).\nAnswer: 72*s**2 - 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**3 + 3*v + 1. Let c(q) = 6*q**3 + 8*q + 3. Let z(w) = 6*c(w) - 17*o(w). What is the remainder when 41 is divided by z(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 57*k - 60*k + 14157. Does 39 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/42)\/(5\/((-35)\/(-2))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/5353395 and 58\/12491255?\nAnswer: 37473765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 - 6*i**2 + 10*i + 10. What is j(-7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d**3 + 0*d**3 - d**3)*(2 - d + 0*d - d).\nAnswer: -6*d**4 + 6*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181376.\nAnswer: 2, 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/6 - 0)\/((-115)\/(-23)). Let k(o) be the first derivative of -1\/16*o**4 + 1\/4*o**3 + 4 - 1\/4*o + 1\/8*o**2 - h*o**5. Let k(f) = 0. Calculate f.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -19 - (-13 + (8 + 1 - -10 - 7)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5298 and 36.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15529288 a multiple of 307?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2445849130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-4*sqrt(38)\/(sqrt(8) - 2*sqrt(8) - sqrt(2)).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 193941?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*w**2 + 10 + 32*w**2 - 63*w**2 to the form z*w + y + r*w**2 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**15\/(w*(w*(w\/(w\/w**(-2)))\/w*w)\/w*w*w)*w\/(w*(w\/w**(2\/5)*w)\/w)*w\/w**29*w assuming w is positive.\nAnswer: w**(-68\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(98) + sqrt(98) + sqrt(98)*-1 + -4 + sqrt(98) + 1 + sqrt(98) + -4 + sqrt(98) - -3*(sqrt(98) + 4 + 2*sqrt(98))))**2.\nAnswer: 22750*sqrt(2) + 414675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2317?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 1 + 13. Suppose p*y + 5 + 3 = 0. Put y, 2, 3 in increasing order.\nAnswer: y, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 242472 and 5684?\nAnswer: 344552712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j + 60 - j**4 - 28 - 37 - j**3 to i*j**4 + w*j**2 + x*j**3 + d + v*j and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 269010 is divided by 134493?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 245952?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iijm. What is prob of sequence mij?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -54070, -54452, -54834, -55216, -55598?\n\"Answer: -382*p - 53688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of d**6\/180 - 65*d**3\/6 + d**2 + 78*d. Let t(g) be the second derivative of v(g). Let z(x) = -5*x - 2. What is z(t(s))?\nAnswer: -10*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 5*n - 668 + 827 = 0, 3*m + 3*n = -90 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, 5, 8, -1, -29 in decreasing order.\nAnswer: 8, 5, 0, -1, -3, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -2*v, 4*g + g + 4*v = 12 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**3 - 3*b**3 - b**4)*(1 + b - 1) - 12*b**3 - 2*b**5 + 2*b**4 + 12*b**3.\nAnswer: -3*b**5 + 2*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 61425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of 5*l**4\/6 - 4*l**2 - 11*l. Differentiate g(q) wrt q.\nAnswer: 20*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v - 6. Let x be 52\/(-14) - 8\/28. Let c be y(x). Differentiate -4 + c - w**2 + 3*w**2 with respect to w.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 56485 + 8843. List the prime factors of a.\nAnswer: 2, 3, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 5087701580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 68 = 4*w. Suppose w = 2*d - 3. Calculate the smallest common multiple of 3 and d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {s: 11, j: 1}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o + 2*o - 4*o + (-1 + 1 + 2)*(3*o + 0*o - o) + o - 2*o - o + 9 + 4*o - 9.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 234 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 14*f**2 + 8*f. Let t(i) = -267*i**2 - 156*i. Let z(m) = -2*t(m) - 39*u(m). Let v(r) = 99*r**2. Calculate v(z(l)).\nAnswer: 14256*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 3 = 3*j, 2*c + 6 = -4. Suppose -j*u + 6 = -18. Let l = u + -7. Put 5, l, -2 in descending order.\nAnswer: 5, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -249\/35 - -32\/5. Let a = 33 + -35. Which is smaller: a or n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/2, -71, -5, 0.1?\nAnswer: -71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of u**3\/3 - 19*u. Let o(p) = -2*p**2. Determine o(t(b)).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of k**8\/21 + 34*k**7\/105 + 2*k**6\/3 + 4*k**5\/15 + 16*k**2. Factor a(p).\nAnswer: 4*p**2*(p + 2)**2*(4*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 500148?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4063*g - 4065*g + 0 - g**3 - 2 + 34*g**2 + (6*g - g - 3*g)*(-3*g**2 + 3*g**2 + g**2).\nAnswer: g**3 + 34*g**2 - 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20809343 or -20809341?\nAnswer: -20809343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4.684253 hours?\nAnswer: 281.05518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -151*r**5 + r**2 + 3*r - 89*r - 3*r**2 - 57*r wrt r?\nAnswer: -9060*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5604.9 - -5605. What is the fifth smallest value in x, 1, -5, 2\/25, 1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 17, 2.2, -0.06, 36?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 114331?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/4 (b) -3 (c) 2\/11 (d) 0.4 (e) 2\/45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 94153*c**2*j**3 + 106*c**2*j**2 - c**2*j - 3*c**2 - 21172*c*j + c + 4 wrt j?\nAnswer: 564918*c**2*j + 212*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x**2 - 13*x - 13. Let j be s(-5). Suppose j = -14*z + 12*z. Let t(o) be the first derivative of 3*o**4\/2 + o**2\/2 + 1. What is t(z)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2044, 2041, 2036, 2029?\nAnswer: 2020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(156)\/(1*sqrt(4)))\/sqrt(3) + 1.\nAnswer: 1 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (7\/(168\/(-12)))\/(-1). Which is the third smallest value? (a) 1\/6 (b) -0.13 (c) -2 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -13.325\nAnswer: -13.325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 - 25 = -8*l. Suppose -l*i + 87161 + 219439 = 0. Round i to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -2.1. Let t = -0.07 + 0.1. Let k = t - 2.03. What is the nearest to b in k, 1, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 5*q + 11 - 3, j + 3*q + 2 = 0. Is 10 - j*(-4)\/(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4\/5*x**4 + 41\/5*x + 36\/5 - 42\/5*x**3 + 1\/5*x**5 - 32\/5*x**2 = 0. Calculate x.\nAnswer: -4, -1, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of -b**5\/60 - b**4\/3 + 5*b**3\/2 + 309*b**2. Calculate k(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 787 - 4613\/6. Let t = 37\/2 - x. Factor 0 - 1\/6*c**3 + 1\/2*c**2 - t*c.\nAnswer: -c*(c - 2)*(c - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4 - 114*n**3 + 552*n**2 - 766*n + 327.\nAnswer: (n - 109)*(n - 3)*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 22933, 5, 2 in ascending order.\nAnswer: 2, 5, 22933","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 29b2bc (base 14) to base 3\nAnswer: 2201202221202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1\/2)\/((g*(g\/g**(1\/44))\/g)\/g) assuming g is positive.\nAnswer: g**(-21\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/116025880 and 69\/232051760.\nAnswer: 232051760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/9 (b) -5 (c) 222 (d) 0.06064\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 1. Let s(v) = 5*v**2 + 9 + 7*v - 2*v**2 + 3*v**2. Is s(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 + 29. What is the least common multiple of (-10537096)\/(-8284) - 2\/(-109) and z?\nAnswer: 2544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/812*29)\/((-5)\/(-720))?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.2 - -0.8. Suppose 3*s = 4*m + 29, 2*m = 3*s - s - 16. Let w = -7 + 6.6. Which is the smallest value? (a) w (b) m (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -3 + (-3)\/3 + (-4425)\/(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lqbqqlbq. Give prob of sequence lbb.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (5 + -5 + -3)) + -81 + -1 + -4?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1816 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 290.399 - -0.05678836.\nAnswer: 290.45578836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -2*c - 10, 3*w - 53 = -56 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + -10. Suppose -2*f + 1 = -4*y + 3*y, -v*y = -5*f - 5. What is the remainder when 5 is divided by f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 4715 = 14*d - 19*d, 3*d - 2*n - 2814 = 0. Is d a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 3738 - 16948. Suppose -530 = -8*d - w. Calculate the remainder when 85 is divided by ((-1)\/3)\/(-1 + (-260)\/d).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-12)\/(-60) + 188\/10 - 0 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 19 + 7. Solve 4*m = 4*g - 21 + 1, -4*m - i*g - 20 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1452409595.\nAnswer: 5, 7, 13, 271, 11779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3*h + 7. Let y(s) = 3*s + 6. Let f(a) = -6*v(a) + 7*y(a). Let z(m) = 7*m. Calculate f(z(n)).\nAnswer: 21*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 25, -2*d = d - 5*h - 13. Let v = d + 9. Solve 0*w + v*w = -25 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 + -3. Let k = -10 - -15. Suppose -2*o - 168 = -k*o. Calculate the greatest common factor of o and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24468 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/30*22\/44*5.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14 + -1230?\nAnswer: -1211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*(t\/t**(2\/9))\/t*t)*t**(14\/3)*t*t)\/(t**(-17)\/t**(-10)) assuming t is positive.\nAnswer: t**(116\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 + 4. Is 5\/(x\/(-16)) + 198*1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 8*i = 5*y, -5*i = -3*y. Sort -5, i, 1, 2\/3.\nAnswer: -5, i, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 7.210816 centuries?\nAnswer: 0.7210816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 3:26 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1939070 rounded to the nearest one hundred thousand?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/18353 or 111?\nAnswer: -5\/18353","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -328*u - 296*u + 1283*u - 335*u - 326*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 75 = -7*w. Let k = w + -9. Factor 7*o**2 + o + 0 - 2 - k*o.\nAnswer: (o - 1)*(7*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 242\/651? (a) 0 (b) 0.3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1021111111110 (base 3) to base 9.\nAnswer: 1244443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 0) + 24\/(408\/(-493))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43079, -3, -13, -6, -5.\nAnswer: -43079, -13, -6, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 12 = -2*b. Let s be (-2296 - 1) + 1 + b. What is s rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.2, 0.5, 1 in ascending order.\nAnswer: -5, 0.2, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2396 minus -360048670.46?\nAnswer: 360051066.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 41*0.1576291\nAnswer: 6.4627931","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*x - 20. Is 12 a factor of (-9)\/(-6)*20 + x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(-2*(-2 - -3)). Let -1\/5*i**2 + 0*i + l = 0. Calculate i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3*x + 107. Let q(u) = -4*u**2. Calculate i(q(d)).\nAnswer: -12*d**2 + 107","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 50309 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 21, 37, 53, 69, 85, 101?\n\"Answer: 16*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4622183?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l**(-2\/9))**19\/((l\/(l\/(l*l\/(l*l\/l**(2\/5)))))\/(l\/l**6*l)) assuming l is positive.\nAnswer: l**(1322\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-6)\/(-8))\/(-2 - (-548)\/272) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*g - 526 = 971 + 935 for g.\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1121.4 times -4\nAnswer: -4485.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 1 = 3. What is the nearest to -2 in 4\/3, -0.5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, q: 13}. What is prob of picking 3 g?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1136 - 13*k**2 - 19*k**2 - 859 - 27*k**2 wrt k?\nAnswer: -118*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 13*n**2 + 19*n + 20. Let a be u(-6). What is the highest common divisor of 34 and a?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5\/(-2) + 2)*-2. Let b(v) be the first derivative of -4*v**2 + 11. Determine b(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 139 = 5*y, -2*y = 3*t - 93 + 19. Let j = -3 - -19. Suppose -3*n + 4*n = j. What is the remainder when y is divided by n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/8 of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 27.4 and 4?\nAnswer: 109.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 + -34. Sort o, -1, 0 in increasing order.\nAnswer: o, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 850572310?\nAnswer: 2, 5, 7, 12151033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 10:16 PM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -6*((sqrt(1584) + (-5*sqrt(1584) - sqrt(1584))*2 - sqrt(1584))**2 + (sqrt(1331) - (1*(1 + sqrt(1331)) + sqrt(1331)))) + -5.\nAnswer: -1368576 + 66*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-46)\/((-1932)\/(-18)) + (88\/(-7) - 1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of 17*f**6\/24 - f**5\/60 - 8*f**2. What is the units digit of b(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 889?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/16)\/(2\/6).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 222 (base 3) to base 14\nAnswer: 1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 - n + n)*(-2*n - n + 0*n)*(5*n - 16 + 16).\nAnswer: -30*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 115\/9 + -4019\/342. Let b = -22 + 70. What is the common denominator of 4 + 4\/b*-23 and i?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ouv when three letters picked without replacement from udkcuvuvdocvdoo.\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6940 - -6945. Solve 15 = -d + j + 3*j, -27 = 4*d - a*j for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19721.77 + -19847. Round v to the nearest integer.\nAnswer: -125","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.46 + 0.06. Let i = -7.5 - -7.2. Let r = -15 + 17. Which is the second biggest value? (a) r (b) i (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/2)\/(18\/(-62 - -26)) + -64?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5257246*c + 15771786*c - 5257268*c - 5257269*c.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 89 + 68. Is 23 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -18*g**3 - 112*g**2 + 322*g - 220. Let t(x) = 4*x**3 + 22*x**2 - 64*x + 44. Let v(z) = -3*j(z) - 14*t(z). Factor v(n).\nAnswer: -2*(n - 11)*(n - 2)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2\/5 + 4209348*k\/5 + 1476550882092\/5.\nAnswer: 3*(k + 701558)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 2*i + 18, 0 = -2*r - 3*i - 6 + 17. Suppose 5*o - 595 = q + 772, 0 = -r*o - 2*q + 1102. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 51?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*p + 15 - 267*p - 123*p - 15.\nAnswer: -459*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7674521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 126 + 3*f - 72 + 88 + f + 188 in the form o*f + t and give t.\nAnswer: 330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2135 and 49717745.\nAnswer: 2135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -105460, -104781, -104102, -103423, -102744?\nAnswer: -102065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(2\/(-8)) - (-180)\/50?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8683335 by -15.\nAnswer: -578889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 20 = -4. Calculate the greatest common factor of 12 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0077728334 to five decimal places.\nAnswer: 0.00777","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 12.67 (b) -0.2 (c) 730 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -99892 divided by -221?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, 155011 in descending order.\nAnswer: 155011, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s + s - 88*s**3 + 85*s**3)*(-3*s + 3*s - 3*s).\nAnswer: 9*s**4 + 9*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 6\/7, -1, 6, 4, -0.3, -12?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 534 and 211682085.\nAnswer: 211682619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 + 0.87908.\nAnswer: 0.57908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 9*l - 6. Let k be u(4). Suppose 2*q - 5*g - k = 0, 9*g - 4*g + 10 = 0. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1496000 rounded to the nearest 100000?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 r when three letters picked without replacement from krrdkddkkkkddiddrd.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 112*k - 811. Calculate p(-5).\nAnswer: -1371","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of 0 + 11\/15*f**6 + 0*f**2 + 7*f - 1\/12*f**4 + 0*f**5 - 3*f**3. What is the second derivative of l(b) wrt b?\nAnswer: 264*b**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/(-1) - ((-3)\/(-3) + 0). Suppose -5*s + 1183 = 3*f, -s + h*f + 26 = -229. Suppose 11 = -3*j + s. What are the prime factors of j?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n**2. Let o(c) = c**2 - 1. Let u(i) = i**2 - 4. Let y(d) = 4*o(d) - u(d). What is b(y(r))?\nAnswer: -18*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11\/2 of a century?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 4*k + 27. Let y be n(-6). Factor 10*r**4 - 30*r**2 + 5*r**y - 9 + 1 - 35*r - 3 + 1.\nAnswer: 5*(r - 2)*(r + 1)**2*(2*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*k**4 + 57*k**2 - 154786*k wrt k.\nAnswer: 108*k**2 + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50882, 104863, 158844, 212825, 266806, 320787?\nAnswer: 374768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 113290?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**5)**(11\/2)\/(r*r**12*r**(-17)) assuming r is positive.\nAnswer: r**(63\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -194*g**3 + 3*g**2 - 5*g. Let y be h(-3). Suppose y = -5*b + 29*b. Is 22 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*g*s*y**4 + 20570*g*s*y**3 + 6*g*s*y - 4*g*s + 6*s*y + s + 2 wrt y?\nAnswer: -24*g*s*y**2 + 123420*g*s*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4276182514 rounded to five decimal places?\nAnswer: -1.42762","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (50 - (10 - 2)) + -45 + 14 + 11.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14133 (base 6) to base 7.\nAnswer: -6315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**13*p**(7\/4))\/(p**(4\/3))**(-3\/17))**(6\/13) assuming p is positive.\nAnswer: p**(3261\/442)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 60, 102, 118, 96, 24, -110?\n\"Answer: -2*b**3 - b**2 + 59*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*t + 4*u, t - 3*u = -4*u + 4. Suppose t*q = q. Let x be 3*-1*6*-1. Solve -3*z - 4*y - 20 = q, -2*z + y + x = -6*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2. Let c(g) = 28*g - 4. Let f = 297 - 295. Let i(x) = f*w(x) - c(x). Let a(t) = t**2. Calculate i(a(h)).\nAnswer: -28*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*b**5 - 333*b**4 + 3444*b**3 - 15582*b**2 + 24696*b + 7203 = 0 for b.\nAnswer: -1\/4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -8 + -4 - -4 - (-11 + 6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 - -64. List the prime factors of c.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 192 + -192.2. Let i = 3 - 2.9. Which is the second biggest value? (a) i (b) m (c) 5 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - 394*i**2 - 401*i + 2409. Let a = 77 - -34. Calculate the remainder when a is divided by w(395).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1089223190 rounded to the nearest 100000?\nAnswer: -1089200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16\/5 + 1\/5*n**4 - 8\/5*n**3 + 16\/5*n + 1\/5*n**5 - 8\/5*n**2 = 0. Calculate n.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01831 * 0.1\nAnswer: 0.001831","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 310377 to the nearest integer?\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/(20\/(-16))*(-4 - -9). Which is bigger: -8 or l?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 31 = -3. Suppose -5*b = -5*o, b - s*o = -2*o - 16. Suppose -b*u = -2*u - i - 20, -2*u - 4*i = 0. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -168*d**2 + 130*d**2 + 87*d**2 + (5 - 1 - 3)*(4*d**2 - d**2 - 4*d**2) + 0*d + 0*d + 3*d**2 + (-3*d + 3*d + d**2)*(0 + 3 - 2).\nAnswer: 52*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19\/3 - -79\/12. Let k = -6 + 5.6. Let x = 18 - 20. What is the closest to a in k, 1, x?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 5*u**2 - 2*u + 5. Let a be q(4). Let w be 1 + 1 - 35\/(-7). Calculate the greatest common divisor of a and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.608274 and 0.11?\nAnswer: 0.06691014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*q - 14*q - 1948. Let t = 1911\/2 + q. What is the common denominator of t and 57\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*(-1)\/2 + (-20 - (-29 + 13))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*v**2 - v**2 - v**2 + (-v - v + 0*v)*(5*v + 12*v - 27*v) - 17*v**2 - 8*v**2 + 5*v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 471426 is divided by 103?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 - 2*v - 2. Let h be (3\/(-6))\/(3\/(-30)). Let j(l) = l**2 + 4*l + 5. Let n(w) = h*o(w) + 2*j(w). What is the second derivative of n(f) wrt f?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 28\/(-252) - ((-4)\/(-36)*53 + -4). Put p, 6, -11, -5, 4 in descending order.\nAnswer: 6, 4, p, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 89013 = -2*t - 119455, 4*j - 5*t + 416954 = 0. Let q = 730819\/7 + j. Let p = -167 + q. Is p not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -57 - -134. Suppose -13 = -4*k - 4*j - r, -5*j = 3*k + 42. Let w = k - -43. Calculate the highest common divisor of w and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 5*t - 21, -5*m + 47 = 3*t + 12. Let r(g) = -13 - g + m*g**2 + g - 11*g. Is r(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-13706)\/(-2352) + 2\/(-7) and -53\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - v + 3*v)*(9066*v**2 - 1494522 + 1494522)*(4*v**2 + 0*v**2 - 3*v**2).\nAnswer: 9066*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-356)\/(-36) - (-9)\/81*(-2 + 3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6 - ((-1)\/(-1) - 1). Let i be 2\/p - 1\/3. Suppose -3*h = 5*l + 21, 3*l = 2 - 20. Solve i = -y + h*y - 10 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 304 and 326686?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 35315 and -629998.04.\nAnswer: -594683.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 6*u**2 - 6*u + 7. Let c be r(7). Let b be 15\/35 - (-22)\/c. Factor 2\/5*n**b + 4\/5*n + 2\/5.\nAnswer: 2*(n + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 - 21.0000325. What is k rounded to six dps?\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1300356124 by -2.\nAnswer: 650178062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -341 in 0.4, 1, -28\/11, -0.2, 7\/38?\nAnswer: -28\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -68 + 34. Let j be 2 - u\/6*-3. Let s be (-15)\/6*108\/j. What is the highest common factor of s and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 13*z**2 - 9. Let o(w) = -3*w**2 + 2. Let r(k) = -9*o(k) - 2*s(k). Let g be r(3). Let f(d) = d**2 - 7*d - 13. Give f(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 - 11*w + 13. Let h be m(17). Let v = h - 115. Solve v = 4*t - 8 - 8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8076634117.\nAnswer: 8076634117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 11501141?\nAnswer: 11501141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2518 - -2602. Calculate the remainder when q is divided by 49.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 5.414838 litres to millilitres.\nAnswer: 5414.838","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -500 divided by 25?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-126))\/((-436)\/5341)?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -2*f + 6126000, 34732994 - 4102994 = 5*r + f. What is r rounded to the nearest 100000?\nAnswer: 6100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2324?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 70889870 and 3658.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (38\/171)\/(245\/(-630))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2699.141 + 2699. Let d = 34 - 34.092. Let k = w - d. Round k to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3\/109 + -2057\/16350. Let d = i - -8\/25. What is the third biggest value in 4, -0.3, d?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-5 + sqrt(242)*-4 + -5)**2 + (sqrt(242) - 2*(sqrt(242) - (sqrt(242) + 0)) - 4*(sqrt(242) - (5 + sqrt(242))))**2.\nAnswer: -15246 - 3080*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + 49*x + 301. Let c be u(-42). Let j(p) be the first derivative of p**3\/3 - 2*p**2 + p - 2. Is 22 a factor of j(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -104*a**3 - 2*a + 15*a**4 + 101*a**3 - 545 - 10*a**4 + 608 in the form x*a**3 + q*a**4 + m + n*a + u*a**2 and give m.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 6*c**4 - 2*c**3 - 6*c**2 + 2*c. Let z(i) = 25*i**4 - 9*i**3 - 25*i**2 + 9*i. Let q(m) = -9*d(m) + 2*z(m). Find u, given that q(u) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/7))**(-18) assuming q is positive.\nAnswer: q**(36\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-58)\/(-667) - 19245\/(-69). What is the greatest common divisor of 63333 and s?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u = -13*u + 20. Suppose 387 = u*l + 72. Suppose 2*t = -t + l. Calculate the highest common factor of 7 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 682708787.\nAnswer: 682708787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, e: 3, m: 2, z: 1}. Give prob of sequence mkem.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242) + 4*(sqrt(242) + -2) - (-1 + sqrt(242) + -2) - (-4 + (sqrt(242) - 1*sqrt(242)*-3)))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 139440 and 511280.\nAnswer: 1533840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 90, 99, 110, 123, 138, 155, 174?\nAnswer: 195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, -1, 26, -2\/7 in descending order.\nAnswer: 26, 3, -2\/7, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 6*q = 2*q + 40, 2*q = 5*i - 70. Suppose -13*n + 9*n = -12. Suppose 24 = 3*r - 4*l + 3, -l = -n. Does r = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47, 60, 73?\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**3\/4 - 1053*w**2\/4 - 66296*w - 66033 = 0.\nAnswer: -638, -414, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 10 = 54*t - 58*t, -2*t - 2 = -2*m for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 949 and 2117?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(720) + 0) - sqrt(30)\/(sqrt(96)*1).\nAnswer: -145*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(4*x**4 + x**4 - 7*x**4) - 5*x**4 + 3*x**4 + 6*x**4 + (x**3 + 5*x**3 - 2*x**3)*(-5*x - 2*x + 3*x) + x**4 - x**4 + 2*x**4.\nAnswer: -12*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j + 7. Let g be i(-5). Differentiate -2*r**2 + 3 - 3*r**g - 8 wrt r.\nAnswer: -10*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/13 - 408*y\/13 + 410\/13.\nAnswer: -2*(y - 1)*(y + 205)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 7744, 213, 3, 13 in increasing order.\nAnswer: 3, 13, 213, 7744","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 5*-3*(-6)\/(-27)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 3*i + 50 - 7 = 0, v + i - 7 = 0. Let p(r) = -2*r + 12. Calculate p(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 + 18*j - 39. Let m be g(-20). Solve -2*n - m = 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 277*z + 8. Let v(y) = 279*y + 6. Let m(k) = 3*f(k) - 4*v(k). Let s(q) = -11*q. Give -4*m(w) + 105*s(w).\nAnswer: -15*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -256 = 51*i - 103. Sort -12, 5, i.\nAnswer: -12, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193 a factor of 214423?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 771 - 5400\/7. What is the nearest to 1\/3 in 0, k, 4, -1.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**1\/j**(-7)*(j\/j**(-2\/13))\/(j*j**(1\/8)))\/(j**0*j**(2\/29)*(j*j*j**(2\/9))\/(j*j\/((j**(-5\/2)\/j)\/j*j))) assuming j is positive.\nAnswer: j**(305035\/27144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 117 and 78?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 709 + -714. Let w(t) = -t**3 - 6*t**2 + 3. Let d be w(-6). Put -3, s, d in increasing order.\nAnswer: s, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2095594?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + -1)\/(3\/(-15)). Calculate the greatest common divisor of m and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 + -0.2. Let o = 304\/65 - 66\/13. Let f = 4 - 23\/6. What is the nearest to m in f, 5, o?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 + 85 + -28 + -15.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 3199*k**3 - 5*k**2 - 3*k + 8. Let o be v(-6). Let j = 1601138 + o. Round j to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a9893 + -177?\nAnswer: -1a9a5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 92\/12)*1\/(-5)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -19071*q + 3642559. What is t(191)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, -1\/176611, -4, -2\/11?\nAnswer: -1\/176611","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*r**5 + 46*r**5 - 14*r**5 + (0*r**2 + r**2 - 3*r**2)*(3*r**3 - 7*r**3 - r**3).\nAnswer: 47*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z**2 - z. Let i(m) = -m**2 - m. Let d(c) = c**3 + 9*c**2 - c - 8. Let p be d(-9). Suppose 4*q - 3*f = 2 - p, 4*q - 6 = -2*f. Give q*i(x) - o(x).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -312*k**2 - 311*k**2 + 626*k**2.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 240599 = -p, 77*p = -r + 73*p + 60131. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1715 * 3540\nAnswer: -607.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7366679, 14733365, 22100051?\nAnswer: 29466737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 53, 352, -3, 1, -4, 19 in increasing order.\nAnswer: -4, -3, 1, 19, 53, 352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 341 + -299. What is the highest common divisor of h and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of 0*x**2 - 1 + 0*x - 1\/3*x**3. Let g(k) = -3*k**2 + 3*k**2 - 2*k**2. Calculate a(g(d)).\nAnswer: -4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41059 divided by 1.\nAnswer: -41059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -41.69, -1\/2, 2, 5\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -95, 81946.\nAnswer: -95, 10, 81946","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -1378*s + 1597*s + 2072*s as m + x*s and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of 0*m**2 - 8 - 1\/25*m**5 + 0*m**3 - 1\/5*m**4 + 16*m. Let g(o) be the first derivative of p(o). Factor g(z).\nAnswer: -4*z**2*(z + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 15*k**3 + 20. Let d(t) = -76*t**3 - 100. Let q(o) = -3*d(o) - 16*z(o). What is the derivative of q(r) wrt r?\nAnswer: -36*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*s + 1712*s**2 + 1694*s**2 - 3407*s**2 + 16 to the form u*s**2 + c*s + h and give h.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uctt when four letters picked without replacement from cctcuhtcq.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(-4 - 18*s + 6 - s).\nAnswer: -38*s + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-11 - -8) + 38940 - (-50)\/(-5).\nAnswer: 7, 67, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 3:12 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 277781 to the power of 1\/2, to the nearest integer?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*f + 179 = -37*f - 126 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5655 and 2919865?\nAnswer: 1885","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 12 + 20 = 0. Let o = -5.7 + 6. Which is the smallest value? (a) g (b) o (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(17)*-2)**2 + (6*(2*sqrt(17))**2 - sqrt(17)).\nAnswer: -21*sqrt(17) + 501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1015650 divided by -16650.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/9 of a day in minutes?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(147) - (sqrt(147) + (sqrt(147) - (sqrt(147)*-1*-6 - sqrt(147)))) - (5*sqrt(147)*2 - sqrt(147)))*-5)**2 + -4.\nAnswer: -367504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of s**3\/3 - 11*s**2\/2 - 2*s + 2. Let l be f(10). Let t = l - -43. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101611523?\nAnswer: 13, 7816271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -174*i**2 + 528*i + 2. Calculate the least common multiple of 16 and t(3).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 6*r**2 - 15*r + 6. Let y(v) = 3*v**3 + 19*v**2 - 43*v + 18. Let b(l) = 11*s(l) - 4*y(l). What is b(-10)?\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f - 4. Let y be g(-6). Suppose 0*z - z = -y*m - 14, 0 = 2*m + 10. What is the third derivative of -8*c**4 + z*c**4 - 5*c**2 + c**4 wrt c?\nAnswer: -72*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 485*c**2 - 10 + 1328*c**2 + 525*c**2 + 0 - 335*c**2.\nAnswer: 2003*c**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of r**8\/14 + 7*r**4\/12 - r. What is the third derivative of h(f) wrt f?\nAnswer: 480*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n + 6*n = -112. Suppose 2*d - 23 - 69 = 0. Calculate the remainder when d is divided by n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64879.75ns to milliseconds.\nAnswer: 0.06487975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**4 - 228*d**2 + 448*d + 3234.\nAnswer: 2*(d - 7)**2*(d + 3)*(d + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of b**5\/40 + 7*b**4\/18 + b**3\/3 - 24*b**2 - 5*b. Suppose f(a) = 0. What is a?\nAnswer: -6, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, w: 4, d: 1, x: 2}. What is prob of sequence wwdx?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 + 6*t - 6. Let l be v(4). Let s(k) be the first derivative of -k**2\/2 + k + 3. Let c be s(l). Which is smaller: c or 1\/31?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*l**5 - 2*l**4 + 262635*l**2 - 713814*l?\nAnswer: 80*l**3 - 24*l**2 + 525270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -27.8, 8, 18\/19?\nAnswer: 18\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -8*c + 6*c. Let q be 4\/8 - 218\/c. What is the highest common divisor of q and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*u, -5*u + 1 = 5*s - 3*s. Let c be 4*(-2)\/s*30\/40. Solve 0 = -5*d - 20, -4*b - c*d - 4 = -d for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c52 (base 13) to base 9.\nAnswer: 2777","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -6 (c) -0.1 (d) -1\/51084\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2186 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51)\/sqrt(3)*-3 - (sqrt(1700) + sqrt(1700)*-2 - sqrt(1700) - sqrt(1700))**2)*-6 + (2 + sqrt(272))*5*-6.\nAnswer: -102*sqrt(17) + 91740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-10)*5\/(130\/(-26))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -49*q**2 - 3*q + 1. Let z(p) = -145*p**2 - 8*p + 3. Determine 8*i(l) - 3*z(l).\nAnswer: 43*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -6 (c) 119\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 + 23. Let k = 432655 - 432654. Let d = 0.24 + -0.2. Which is the closest to 0.1? (a) i (b) k (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 882301243.\nAnswer: 239, 599, 6163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of -m**4\/12 + m**3\/6 + m**2\/2 + m. Let y = 7 - 6. Let f be (y - 0)*(6 - 8). What is c(f)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 37*u - 3 - 1 + 38*u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o - 1. Suppose 0 = -3*b - r + 8, 2*b - 3*b - 4*r = -10. Let t = 1 - b. Let q = -5 - t. Give c(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -244, -960, -2152, -3820, -5964, -8584?\nAnswer: -11680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3188*j**2 + 2*j - 1673. Let s(d) = -3187*d**2 - 3*d + 1675. Let g(n) = -3*p(n) - 2*s(n). Differentiate g(y) wrt y.\nAnswer: -6380*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 89*v + 454?\nAnswer: 89","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 + 4*n**2 - n - 4. Let a(x) = -x**2 - x + 13. Let o be a(0). Suppose 5*d - o = -2*b, 0*d + 3*b = -d. Let v be s(d). Which is bigger: 1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -73758*n + 96698.\nAnswer: -73758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 954466869 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 - 3*g**2 - g. Let c be ((-12)\/(-8))\/((-1)\/2). Let j be r(c). Suppose 4*p = j*k - 32, 4*p + 41 = 4*k - p. Does 4 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -99685 and 0.3?\nAnswer: 99685.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5075*x**5 - 5215050 + 5215050 + (x - x - x**3)*(0*x + 0*x - x**2).\nAnswer: -5074*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in five quarters of a meter?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence akal when four letters picked without replacement from {k: 2, l: 1, z: 1, a: 3}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a kilogram in grams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*c**4 + 330*c**3 + 625*c**2 + 210*c.\nAnswer: 5*c*(c + 2)*(c + 7)*(7*c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -23177, -44894, -66613, -88334, -110057?\n\"Answer: -v**2 - 21714*v - 1462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 6*j**2 - 10*j - 2. Let d(m) = -m**3 + m**2 + 2*m + 3. Let u be d(3). Is q(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of t**5\/170 - t**4\/51 - t**3\/51 + 2*t**2\/17 + 5*t - 5. Factor d(r).\nAnswer: 2*(r - 2)*(r - 1)*(r + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 16\/8*(-2)\/(-4) + 1075. Let v = 1854 - j. What is the hundreds digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yvyiiv. Give prob of sequence iviy.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.355078 millilitres to litres.\nAnswer: 0.001355078","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 3*m**2 + 63*m - 300 = 0.\nAnswer: -25, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 - 65*q + 452. Give s(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 560 is divided by 21.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 5, 0.005, -7.77 in ascending order.\nAnswer: -7.77, 0.005, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2634940)\/957)\/413*(-54)\/(-5)?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 4\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6693599 divided by 55319.\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25263?\nAnswer: 3, 7, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 0, -5.\nAnswer: -5, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 - 8*q - 1. Let l(v) = -v**2 - 1. Let r = -22364 - -22363. Calculate r*i(s) + l(s).\nAnswer: -2*s**2 + 8*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - 8*y**2 - 8*y - 7. Let l be s(-7). Let q(i) be the third derivative of 3*i**2 + l + 0*i - 1\/24*i**4 + 2\/3*i**3. Give q(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.05*-46.95819\nAnswer: -2.3479095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) -2 (c) -2573\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 9*c**3 + 4*c - 4. Let t be (1 - 1\/(-2))\/(6\/4). Calculate the smallest common multiple of v(t) and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 294*x + 37 = -293*x, -4*d = 17*x + 1 for d.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1064 divided by 266.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -15 - 30 - -17)\/(-1 - 7)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -5*j**3 - 3*j**2 - j + 1. Let m(q) = -q**3 - 2*q**2 - q + 1. Let r(p) = 2*h(p) - 2*m(p). Let n(o) = 15*o**3 + 5*o**2. Give -4*n(t) - 10*r(t).\nAnswer: 20*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -1369*q - 130. Let g be m(14). Let l be 57924\/g - (-3 - 0). Which is greater: 1 or l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -7*q + 5*q. Let d(s) = 4*s**3 - 7*s**2 + 2*s + 5. Let g be d(q). List the prime factors of g\/12 + (-4)\/12.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 f, and 1 x when three letters picked without replacement from ffufuaoffxtfuatoua?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g = -g + 260. Which is bigger: 21 or g?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -590441, -4723420, -15941487, -37787186, -73803061, -127531656?\nAnswer: -202515515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 4 - 3)*(2 - 4 + 3)*(0*a + 3*a + 8*a) in the form i*a + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.62 and 138?\nAnswer: 138.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 2*p - 16077 + 2403, -p + 3*d = -6842. What is the hundreds digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 408\/52 - 4 - (-1 + 44\/52)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35\/6 + 13\/2. What is the closest to -0.1 in -0.06, p, -0.2?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 52*f - 56*f - 116, -2*f = 3*r - 134. Let q(j) = -j**3 - j - 2. Let n be q(-2). Is (-762)\/4*(r\/(-9))\/n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n - 3*n - 5*n + (2 + 3 - 3)*(2 - 2 + n) + (0*n - 2*n + 3*n)*(-1 - 3 + 3) - 1 + 1 - n.\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 56832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2059 and 355.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s + 5*s**2 + s**4 + 7*s**3 - 7*s**3 to the form i*s**3 + t*s**2 + x*s**4 + l*s + r and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 10:48 PM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 1, 3.9?\nAnswer: 3.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -11*u**2 + 2*u + 225. Let f(v) = 3*v**2 - v + 1. What is 5*f(m) + n(m)?\nAnswer: 4*m**2 - 3*m + 230","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10206714?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c, 0 = -2*q + 4*q + 4*c + 6 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gn when two letters picked without replacement from {g: 3, b: 1, n: 1, w: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(396)*2)**2 + 4.\nAnswer: 57028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - -1. Suppose -5*t + y*t = -55. Let m = t - 277\/5. What is the closest to 1 in 1, m, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6616?\nAnswer: 2, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 AM and 8:55 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 602172787, 602172788, 602172789, 602172790, 602172791?\n\"Answer: x + 602172786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kcc when three letters picked without replacement from cklkkkllkckklklkkkk.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4, -7, -12, -19, -28, -39, -52?\n\"Answer: -p**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 199562?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -228*x + 8. Let f(m) = 224*m - 9. What is -5*f(z) - 6*u(z)?\nAnswer: 248*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82 + -79 + (0 + -65 - (-2 - -3)).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 5*q + q**2 - 34 + q**2 - 5*q + 6*q + 3*q. Is 3 a factor of u(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 22*q**2 - 21*q - 458. Let m be o(-22). Solve 25*b = 22*b - 3*i + 18, 5*b = -m*i + 29 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 560 is divided by 35?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1183267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 22\/(-33) - (-19)\/(-3). What is the common denominator of ((-134)\/(-8))\/(d\/(-2)) and 43\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**2 - 5*b + 5*b + (405 - 406 + 25*b - 2*b)*(3*b - b + 0*b) - 8*b**2 + 32*b - 32*b to d*b**2 + y + f*b and give d.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 77\/(-35) + (-10 - -13). Which is the third smallest value? (a) i (b) 1\/61 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2614000 to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/5 (b) -119 (c) 0.3 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*h*x**5 - 23*h*x**2 - 19497271*h*x - 410*x**4 wrt x.\nAnswer: -140*h*x**3 - 46*h - 4920*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -7 - -4) + 1 + -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 20\/9, 329, 0.1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -34861677*x**6 - x**4 - 19010832*x**2.\nAnswer: -4183401240*x**3 - 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 32564 to the power of 1\/2, to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + j + 7*j = 0, 15*o + j - 5 = 12*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 - 20*p + 17. Let d be i(19). Let l = -398 + 2780\/7. Is d not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 4)*(-37 - 27 - 2)*(-5*u**4 + 4*u**4 + 2*u**4) + (-5*u**2 - 2 + 2)*(-u**2 + 2 - 2).\nAnswer: 71*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-282)\/(-90) + 11077\/(-1140) + (-2)\/(-8)?\nAnswer: -28\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 519662112, 519662113, 519662114, 519662115, 519662116?\nAnswer: 519662117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -c + 4. Let d(l) = -2*l**3 + l**2 - 2*l - 2. Let k be d(c). Solve -k*m = -0*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -60745, -1\/8, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68 and 1819.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-462)\/38)\/((-128)\/(-2560)). Is n equal to -243?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.055 * 44.\nAnswer: -2.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 + 2*v)*(-1 - 7 - 4) + 0*v + v + 0*v + 5*v + v - v)*(-6*v**4 + 12*v**2 - 12*v**2).\nAnswer: 108*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 37\/5 of a microsecond?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34635 and 8655.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 5*u = -18. Solve 2 = u*k - 4*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of 2*h**3\/3 + 1. Let j = 2 + -1. Let w(n) = -j + 2*n**2 + 1. Calculate w(c(f)).\nAnswer: 8*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -48, -52, -56, -60, -64, -68?\n\"Answer: -4*a - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 3\/2, -0.21, 42\/1201 in increasing order.\nAnswer: -3\/4, -0.21, 42\/1201, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -77 - -131. Suppose -2*c + 191 - 31 = 0. Suppose c + r = 2*x - 4*g, 0 = 3*x - 4*g - 211. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -482 - -494. What is the remainder when 42 is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-16)*8\/6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 - 6*h. Let u be d(8). Suppose -4*m = -u + 8. Suppose 3*q = -m*o + 142 - 1, q = o - 73. Does 9 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9053369?\nAnswer: 13, 696413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 18 = -5*v, 0 = 2*v + 3*g - 2 + 10. Let t = 207 - 206. Find the first derivative of -t + 2*z**2 - v*z**2 - 8*z**3 wrt z.\nAnswer: -24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**3 + 0*g**3 - 3*g**3)*(2 - 2 + 2*g**2) + 5*g**5 - g**5 - 2*g**5 + (-2*g + 3*g - 5*g)*(-57*g**4 + 38*g**4 - 47*g**4) + 5*g**5 - 2*g**5 - 5*g**5.\nAnswer: 260*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-16))\/((-1)\/((-1)\/(-2)*30))?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of k**4\/4 - 2*k**3 + 48. Factor z(w).\nAnswer: w**2*(w - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53139872, -53139862, -53139852, -53139842?\nAnswer: -53139832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 84, 0.1, 0.12, 1\/2.\nAnswer: -1\/5, 0.1, 0.12, 1\/2, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1533?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2343 is divided by 585.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z**2 + 4*z + 8*z**2 + 0*z**2 - 9 + z**2. Does 35 divide j(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 5*q = -115, 284*s = 281*s + q + 35 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16946943355 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-32)\/(-40))\/((-2)\/10). Let n(j) = -2*j**3 - 4*j**2 + 7*j + 1. What is the units digit of n(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -81758 divided by -6\nAnswer: 40879\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -4*q**2 + 11*q - 5. Let c(g) = 2*g**2 - 6*g + 3. Suppose 6 = 3*j - 0*j. Suppose j*p - 2 = 6. Let a be (-1)\/2*(-70)\/5. Give a*c(h) + p*t(h).\nAnswer: -2*h**2 + 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (51 - (-39 - -87))\/(-7*(-1 + 4)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 54 = -3*k. Let x = k + 21. Let l(q) = q**2 - 2*q - 1. Let g be l(x). Solve -2*s - 9 = -5*i, 11 = 5*i - s - g*s for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f = 1648 - 1781 for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 24, 435, -114, -2103, -6012, -12321?\n\"Answer: -80*l**3 + 971*l - 867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -166*l + 163*l + 264855. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 AM and 9:26 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/684 in 5, -1, -239?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -4, 11919708, 8?\nAnswer: 11919708","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 21 + 11. Let i = 8 + j. Solve -3*n - 45 = -4*k + 2*n, -i*k + n = -20 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)\/((-6*sqrt(32))\/sqrt(8)) + 0)**2.\nAnswer: 11\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4645785.\nAnswer: 3, 5, 19, 16301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, y: 3, z: 1}. Give prob of picking 1 y, 1 z, and 2 g.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -210, -427, -644, -861?\n\"Answer: -217*b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 2:46 AM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 12 = 0, -278*f + 283*f - 4*b = 109. What is the remainder when f is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -190, -891, -2190, -4195, -7014, -10755, -15526?\nAnswer: -21435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 5*p**2 + 3*p + 2. Let t be u(-4). Let q(h) = 6*h**2 - h**3 + 3*h + 5*h - 4*h + 7. What is the remainder when q(t) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 17. Solve 3*u = -2*u + 4*b - 30, -b = u - o for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8*(-1)\/(-1))\/2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 41*v**3 - 7*v**2 + 11*v - 7. List the prime factors of f(3).\nAnswer: 2, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 59473.018 + -59618. What is b rounded to the nearest ten?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 122.5 + -122.1. Let t = 0 - 5. Which is the second smallest value? (a) 5 (b) o (c) t (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 2\/21 (c) 5 (d) -1\/2 (e) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 51 + -31. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 184823?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r + 4 + 3*r + 2*r. Let p = -867 - -863. Calculate k(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, h: 1, t: 4, i: 1}. Give prob of sequence li.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -2*y**4\/3 - 28*y**3\/3 - 136*y**2\/3 - 260*y\/3 - 50 = 0.\nAnswer: -5, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do 7663 and 1.3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -44 - 104. Let q = i - -1777\/12. What is the biggest value in 0.1, q, -4\/9, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 434 is divided by 86.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.5824 - 28.4176. Put -0.03, -0.02, b in decreasing order.\nAnswer: -0.02, -0.03, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -4) + (3 - 8)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from {p: 15, o: 4}.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4917540360?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, n: 10}. What is prob of sequence dn?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135985 is divided by 1384?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 828883 and 49412.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + 34\/4*2. Suppose -2*n = 5*u - 133, -n - u = -50 - m. Suppose q + n = 5. What is q rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (765\/(-6545))\/(120\/44).\nAnswer: -3\/70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17306516?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -45*i - 46*i + 20*i - 1136 for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100 - 100022210221?\nAnswer: -100022211021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 0 - 5 = 0, -v + 453 - 465 = -t for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 173*x + 1909. What is c(-11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30230011302 (base 4) to base 10.\nAnswer: 3326322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 14*a**3 + 3*a**2 + 3*a. Let v(w) = 42*w**3 + 8*w**2 + 8*w. Calculate -8*c(p) + 3*v(p).\nAnswer: 14*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1996, 3993, 5990, 7981, 9960, 11921, 13858?\n\"Answer: -t**3 + 6*t**2 + 1986*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 364000 rounded to the nearest ten thousand?\nAnswer: 360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1584)\/(-108) + (-56)\/4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mg when two letters picked without replacement from {l: 8, m: 1, z: 7, g: 4}?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2620862494 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1992 by 2.\nAnswer: 996","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((2 + (5 + sqrt(80) + -1 + sqrt(80))*-1)**2 - (-5 + (1*sqrt(80))**2*-4)*-2).\nAnswer: -652 + 64*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 728 - 389. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145*w - 140*w = 800. Is 13 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - (-3 - 1*-2). Suppose 6*k - 6 = k - 3*f, -p*f - 15 = -3*k. Suppose -2*g + c - k*c = -14, 4*g + 2*c = 22. Solve -l = g*l - 15 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5330*k - 5697*k - 10958*k + 3687*k.\nAnswer: -18298*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z*z**(-5)*z)\/z))**0*z**2*z\/z**11 assuming z is positive.\nAnswer: z**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 73960, 3, 202 in increasing order.\nAnswer: 2, 3, 202, 73960","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 AM and 1:33 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -44212 - -2917897\/66. Let i = x + -5\/22. Let n be 1 + (-15)\/18*2. What is the closest to 0 in 3\/4, n, i?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 398*t + 6269. What is the units digit of n(52)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9543 + 39956 = k - 6217. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 12*b**2 - 5*b - 37. Let q be m(-9). Suppose 0 = 6*s + 8*s - q. What is the highest common divisor of 105 and s?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6976303 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 681, 1405, 2195, 3081, 4093, 5261?\nAnswer: 6615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 4*c + 5. Let r(i) = -4*i - 5. Let y(q) = 7*l(q) + 6*r(q). Let d(x) = x + 1. Let u(w) = -6*d(w) + y(w). Differentiate u(z) wrt z.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (7 - 15) + (-86 - -57)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5350781 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 0*d**3 + 54 - 3*d**3 - 3*d**3 - 69 wrt d?\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 59.3 - 59. What is the third biggest value in -1\/12, -4\/11, s, 1\/6?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*g - 54 = 42*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.015 + 0.015. Suppose -2*q = -0*q + 8. Which is the nearest to o? (a) -0.4 (b) q (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-3) - (-1 + 1). Let u(r) = 3*r - r**b + 7*r**2 + r**2. Let l(s) = 3*s**2 + s. Let j(d) = -5*l(d) + 2*u(d). Determine j(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of -w**5\/60 - w**2 + 2*w. Let r(h) be the first derivative of k(h). Let d(i) = -3*i. Determine r(d(l)).\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 24.31 and 79062?\nAnswer: 79037.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -20.3 and 32.8?\nAnswer: -665.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-50 - 47 + 38*h + 97)*(0*h**3 + 2*h**3 - 5*h**3).\nAnswer: -114*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 5\/6424806?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 101452 + -4?\nAnswer: 101444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -391762182 and 38.7?\nAnswer: 391762220.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence el when two letters picked without replacement from {l: 1, q: 11, e: 2}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 979, 1965, 2951, 3937, 4923?\nAnswer: 5909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32 - ((-18 - -17) + (-4 + 0 - -8))) + 10?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/29 and -19\/4?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 336\/(-13) - (7472\/36426 - 2\/39)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5*(0 + 1 + 0). What is the units digit of (-14)\/35 - 12\/j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(j\/j**(-10)*j))\/j**4*(j**(2\/3))**34 assuming j is positive.\nAnswer: j**(26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/6*3*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/12 and 19\/42.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 298.\nAnswer: 2384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mbebvtvcbmvvvbv. What is prob of picking 1 t and 1 c?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**2 - 14*o + 15. Let g be q(7). Let w be ((-102)\/4)\/(12\/(-72)). Let r = w - 33. What is the greatest common divisor of r and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + (-220)\/107 + 0. Let t = j - 112\/1819. Let l = 0.022 + -0.422. What is the closest to 0.1 in l, t, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 147 and 588?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 4831*n + 3. Let w(j) = -4829*j - 5. Determine 4*o(q) + 3*w(q).\nAnswer: 4837*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -76 - -379\/5. Let q = 7 + -7.4. Let r = q + 3.4. What is the closest to 2 in r, i, -0.3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 39 - 10*z + 20*z + 6*z - 18. Let i(p) = -5*p - 7. Give 7*i(y) + 2*w(y).\nAnswer: -3*y - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -165 + (2*15\/50 - 12\/20). Which is smaller: f or -158?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z**2 - 10*z + 3. Let l be n(5). Suppose -l*q + 3 = 33. What is the units digit of (-252)\/q*(9 - 4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 + 5*j - 11. Let k be n(9). Let z be ((-2)\/10)\/(6\/k). Let s = z - -4. Which is the biggest value? (a) s (b) -4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -3 - 58*j**2 + 145*j**2 - 80*j**2. Let t(u) = 3*u**2 - 2. What is 9*t(p) - 4*v(p)?\nAnswer: -p**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2530 and 137379?\nAnswer: 1373790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43992654?\nAnswer: 2, 3, 337, 21757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 3*u - 90, 0*u + u - 286 = -3*k. Suppose 20*w = 12*w + k. Is w a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from cggggggcggcggcggggg?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) - sqrt(204)*-4*2 - sqrt(204) - (sqrt(204) + -6*3*sqrt(204)))\/(-1*sqrt(1200)*3 - (-6*-2*sqrt(1200) - sqrt(1200))).\nAnswer: -5*sqrt(17)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**3 - 71735*g**2 + 430545*g - 645885.\nAnswer: -5*(g - 3)**2*(g + 14353)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 664 and -4012778.\nAnswer: -4012114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49*u**2 - 41896 - 3*u + 20947 + 20955 + 3*u**3 to the form l + g*u**2 + j*u + b*u**3 and give g.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 268321693 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (0\/1 - 2)\/(8\/(-68372)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, f: 5, y: 12}. What is prob of picking 1 n, 2 f, and 1 y?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qtttkkttttqktttktttq. Give prob of picking 1 q, 1 k, and 1 t.\nAnswer: 13\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1482 and 9594?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/6 of a century in months?\nAnswer: 3400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 424 = -0*b. What is the hundreds digit of (-64)\/(-40) + 2\/5 - b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - m = -2*j - 26, -5*j - 82 = m. Let q be (9\/6)\/((-6)\/j). Let l be 12\/(-3) + q + 10. Solve 3*g + 0*w - l = w, -5*g + 4*w = -5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 512 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -b768 (base 12) in base 9?\nAnswer: -30508","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, q: 3, z: 5}. What is prob of picking 1 q, 1 v, and 1 z?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*j - 95*j - 9317 = -203*j + 113*j for j.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 76\/(-133)*(-84)\/36?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 165720 divided by 30.\nAnswer: 5524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -5*f - 73195, 0 = 2*i - 5*f + 7*f - 36584. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-4))**(2\/37))**(-1\/30) assuming w is positive.\nAnswer: w**(4\/555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -137 - -77. What is the second biggest value in l, 5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m + 0*m + m + (-2*m - 4*m + 4*m)*(4 - 5 - 1) - 177*m + 415*m + 56*m + 201*m.\nAnswer: 500*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jbll when four letters picked without replacement from lbjl.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 21*o + 753. Let h be g(-28). What is the greatest common divisor of h and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, 5, 3, -1.\nAnswer: -35, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 5*d + 1. Let x(f) = f**2 + 2*f - 1. Let r be x(1). Let y be h(r). Let t = y + -5. What is the smallest common multiple of 5 and t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2849 is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s**2 + 34*s + 3. What is w(17)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - (-64)\/56) + 1777\/7. What is v rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 22*d**2 + 22*d - 14. Let b be (552\/(-120))\/((-143)\/(-165) - (-2)\/(-3)). What is v(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 195\/4 or -4\/7?\nAnswer: 195\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2680, 8346, 16998, 28636?\n\"Answer: 1493*a**2 + 1187*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r - 4. Let q be a(-3). Suppose -4*x - 4*u = 8, -25 + 0 = -5*u. Let t = q - x. Solve t*k = 4*k + 16 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 11*j + 10. Let m(f) = -31*f - 27. Let x(n) = 14*d(n) + 5*m(n). What is x(15)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-five halves of a litre?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2 + (sqrt(13) + sqrt(39)\/sqrt(3))**2 + (sqrt(91) + -2*sqrt(91)*3 + sqrt(91))\/sqrt(7).\nAnswer: -4*sqrt(13) + 55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-2*sqrt(2048)*-2 + 2*(sqrt(128)*3 - sqrt(128)))**2 + -2).\nAnswer: -51198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*k = -6*k. Suppose -4*f + 91 = 4*b + b, k = 4*f + 3*b - 101. What is the remainder when 81 is divided by f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -3*h**2 + 8. Let i be d(0). Which is the nearest to i? (a) 2 (b) -1 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -300230101 (base 4) to base 12.\nAnswer: -97501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (0 + -3 - (-3 - -1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2\/19, 1\/9, -18, -3\/10, -235, 2\/15?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 + 8. Let c be d\/4 - (-49)\/(-2). Let n = 41 + c. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*v + 0*v - 4*v)*(-v + 4*v - 2*v)*(-9145 - 11697 + 23586) to g*v**2 + j*v + k and give g.\nAnswer: -5488","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**2 + 5*i + 3. Let u be x(-3). Suppose 2*j = c + 10, -3*j + j - 3*c - u = 0. Let l(v) = 3*v**2 - 3*v - 2*v**j + 3 + 3*v**3 + v. Determine l(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*v**3 + 50*v**2 - 36*v + 327*v**2 - 6*v**3 + 70*v - 36*v + 24*v**5 wrt v.\nAnswer: 1440*v**2 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -543844571799.7 and 0.3.\nAnswer: -543844571799.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/21*(-14034482)\/65095?\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 4) to base 8\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -316787, -316761, -316695, -316571, -316371?\nAnswer: -316077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44*m**4 + 3*m - 1 + 59*m**4 + 8*m**2 - 107*m**4 to the form j*m**3 + p*m + l*m**4 + f + d*m**2 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 111*g - 1622 - 487. Solve 0 = -n + 4*j - 17, g*j = 5*n + 14*j + 25 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.08? (a) 0.097 (b) 5.12 (c) -3\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13928 - -8666. Let g = o + 8203. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12143 (base 6) to base 9\nAnswer: 2410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -71*a**3 + 110*a - 2. Let o(h) = 281*h**3 - 440*h + 9. Let w(j) = 9*d(j) + 2*o(j). What is the second derivative of w(i) wrt i?\nAnswer: -462*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2546)\/(-3886))\/((-120)\/(-580))?\nAnswer: 19\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 2. Let j be ((-2)\/(1 - -1))\/n. Is -2\/5 not equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4308 (base 9) to base 15\nAnswer: e12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 5728439 and 0.1.\nAnswer: 5728439.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5\/2 (b) -0.3 (c) -23 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g + 19. Let a be i(17). Does 6 divide 25 - -21 - (0 - a)*-2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**12)**7*(j**(-3\/8)*j*j)**23 assuming j is positive.\nAnswer: j**(971\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/9962 and -82\/175185.\nAnswer: 102658410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-4)*288\/42)\/(-60 - (-102935)\/1715)?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 5*t + 14184, -102*t + 9 = -105*t. What is the hundreds digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.6005 and 3.139 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8445193144?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22.7 - -33.7. Put -0.22, t, -3 in ascending order.\nAnswer: -3, -0.22, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of -c**4\/12 - c**2. Let h(x) = 12*x + 14*x - 28*x. Calculate q(h(w)).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6688554 (base 10) to base 7.\nAnswer: -110565105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 4, -3*d + 6*d = -t - 26. Let m = 8 - t. What is the smallest common multiple of (-2)\/6 + (-55)\/(-3) and m?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -3*b - 11 + 2, 4*b = -12. Suppose 5*h = c, h = u - 0*h - 4. What is the third derivative of 8*x**2 + 7*x**u + 0*x**2 - 3*x**2 - x**2 wrt x?\nAnswer: 168*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - 6*n**2 - n + 30. Let c be k(5). Solve c = -0*a - 5*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6300233 times -0.05\nAnswer: 0.031501165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-64067*a**2 - 2 + 64142*a**2 - 7*a**3 + 4*a**3)*(1 - 2 + 0)*(8 + 3 - 2).\nAnswer: 27*a**3 - 675*a**2 + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 y when four letters picked without replacement from {d: 7, y: 5, o: 1}?\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 30*q + 4. Let w be v(-8). Let b = -99 - w. Does 15 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 292*j + 204 + 51 + 37 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2*r + 4)*(5*r - 14*r - 4*r)*(8 + 8 - 8).\nAnswer: -208*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (45\/(-120))\/(2\/(-16976))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*i**3 - 2*i**3 + 3*i**3)*(4 + 3 - 6)*(-4 + 10 + 3) to k*i**3 + y*i**2 + g*i + t and give k.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 6*f**2 - 9*f + 7. Let d be x(5). Let m(o) = o**3 + 15*o**2 - 30*o - 119. What are the prime factors of m(d)?\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 5 (b) 22 (c) 16150\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*y + 4*q, 3*q - 5 = 2*y - 19. Which is the closest to 0.1? (a) -0.5 (b) 2\/11 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 4:49 AM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1835 + 835. Let o = -398 - w. What is the highest common divisor of 14 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - 20a2971?\nAnswer: -20a296a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3575428?\nAnswer: 2, 893857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 983077 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/57 in -0.4, -0.064, 5, 1?\nAnswer: -0.064","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1486?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1440 and 130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 7128 in ascending order.\nAnswer: -4, 5, 7128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197661 is divided by 2080?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -31*a**4 - 2*a**3 - 3*a**2 + 6*a + 7727. Let o(n) = 93*n**4 + 4*n**3 + 8*n**2 - 17*n - 23180. Let q(z) = 8*f(z) + 3*o(z). Differentiate q(r) wrt r.\nAnswer: 124*r**3 - 12*r**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*o - 32*o. Which is the nearest to -1? (a) 2 (b) o (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*s + 2*s + 0*s)*(-4 + 1 + 4) + 72*s + 98*s + 6*s)*((3*s - 6*s + 4*s)*(-3 + 2 + 0) + (-2 + 2 + 2)*(3*s + s - 3*s) + 3*s - 3*s + s + 0 + 0 + 3*s).\nAnswer: 890*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 1. What is the remainder when l is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w + 26. Let y(l) = 5 - l**2 - l**3 - 2*l + 0*l**2 - 2*l - 5*l**2. Let o be y(-5). What is the units digit of j(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1871976 or -1871972?\nAnswer: -1871972","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 8637 = -5*z, -2*z = -59*k + 64*k - 3451. Round z to the nearest 100.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/4*((-20)\/42)\/5\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 7*l - 10*l + 19*l + 1.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -1) + -11 + 3 + 16 + -25.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18942617 a multiple of 166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -773 times 1480.17?\nAnswer: -1144171.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a micrometer in nanometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x**3 - x**3 + 0*x**3 + 4*x**3.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3094 (b) 0.04 (c) 2\/69\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -470296476 divided by -6.\nAnswer: 78382746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of m**5\/60 - 7*m**4\/12 + 5*m**3\/3 - 7*m**2\/2 - 7. Let w(y) be the second derivative of c(y). What is the tens digit of w(16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 365578, 1458350, 3279636, 5829436?\n\"Answer: 364257*l**2 + l + 1320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - 130. Let n be 7\/((-14)\/(-4)) - (4 + r). Which is smaller: n or 142?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 5*i + 10, 2*i = -l - 10. Which is the second biggest value? (a) 1 (b) -0.5 (c) l (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 93 = -3*s + 377, -2*s - 5*f + 204 = 0. Suppose -76 + s = 4*i. Solve 3*g = 2*b - 14, b + g - 18 = -i*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -70251202\nAnswer: 140502404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23 + 23 + 40*d**3 + (-5*d + 0*d + 4*d)*(-372 - d**2 + 372) - d**3 - d**3 + 5*d**3 + (3*d + 2*d - 4*d)*(1 - 1 + d**2).\nAnswer: 45*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2208.77 + 8.77. Let g = i - -2198.817. Let q = -1.2 - g. What is q rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 849242 - 151993. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - 10*g**2 + 3*g + 7. Let j = 64 + -75. Does 31 divide d(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25 (base 6) to base 2\nAnswer: 10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -63003*i - 5. Let q(h) = 21001*h + 2. Let z(n) = -8*q(n) - 3*r(n). Let g be z(1). What is g rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201384 is divided by 196597?\nAnswer: 4787","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 758648717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11957 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -5 (b) 1\/2 (c) -0.125 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 - 6*v - 13. Let h be r(8). Suppose 4*u + 3*b + 2*b + 17 = 0, -h*b - 23 = -4*u. Solve 0 = -4*l - 3*f - 12, 2*f + 6 = -u*l + 7*f for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5.732095 micrometers?\nAnswer: 0.000005732095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*t = 43*t. Solve t*n - 3*w - 2 = n, -2 = n - 2*w for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1032)\/(-1204))\/(2*5\/(-14)). Does -1 = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 26828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjzjzz. What is prob of sequence jzzj?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 2 = -3*w + 5, 12 = 4*w - 4*u for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24328 is divided by 1216.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -20*s**2 - 6*s - 24. Let o(z) = 20*z**2 + 5*z + 20. Let l(k) = 6*o(k) + 5*p(k). Let n(c) = -c**2. Give n(l(m)).\nAnswer: -400*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 43297*u*v**4 + 127685*u*v**2 - u*v + v**5 - 1486*v**3 - 233*v**2 wrt v?\nAnswer: 1039128*u*v + 60*v**2 - 8916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 653*o + 32235. What is m(-48)?\nAnswer: 891","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 0*v**2 - v**3 + 3*v - 5*v - 1 + 4*v**2. Let x be z(3). Suppose 7*j - 4*j + 4*d = 80, x*j - 3*d - 25 = 0. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1538.724m in kilometers?\nAnswer: 1.538724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 523 minus 8565?\nAnswer: -8042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4968500 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gxyxgy. What is prob of picking 2 g and 1 x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from evvdevdeddvevdvdd. Give prob of sequence vev.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(3\/14)*n**(1\/30))\/(n*n*n**(-2\/5)*n)**(1\/44) assuming n is positive.\nAnswer: n**(871\/4620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -466005162 - -2?\nAnswer: -466005160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -9*k**2. Let v(b) = 2*b**2 - 45*b - 40. Let w(a) = 3*a**2 - 72*a - 60. Let o(i) = 8*v(i) - 5*w(i). Calculate h(o(d)).\nAnswer: -9*d**4 + 360*d**2 - 3600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 2*w - 64, w - 94 = -5*a - 14. Suppose 8*z - a = 6*z. Let s be (-130)\/(-4)*2 + -1. Calculate the greatest common factor of z and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1319355 divided by 263871\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - 6*o**2 + 9*o - 1. Let d = 0 + -7. Let b be y(d). Suppose 0 = -3*p - 25 - 23. Which is greater: p or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -3*p + 32. Let x be d(10). Does x = 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/55)\/((-504)\/(-55730)). Let u be (-178)\/(-396) + (-3)\/2. Let g = u - x. Calculate the common denominator of -57\/20 and g.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -18.33 from 12871423.\nAnswer: 12871441.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 144 - 147 - 2*t**2 - 2*t - 2*t**3 + 0*t**3. Let z be c(-2). Solve -z = 2*n - 3*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -76*z**4\/7 + 29116*z**3\/7 - 61052*z**2\/7 + 35060*z\/7 - 3048\/7 = 0.\nAnswer: 2\/19, 1, 381","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -408, -1940, -5872, -13404, -25736, -44068, -69600?\n\"Answer: -200*a**3 - 132*a - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*6*(3 + (sqrt(77) - -6*(sqrt(77) - 1*sqrt(77) - sqrt(77)))\/((sqrt(49) - sqrt(49)*-2)\/sqrt(7))*2).\nAnswer: -18 + 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 - 13*h + 24. Is o(16) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29 + 43. Let y = c - 13.996. Let r = y + -0.046. What is r rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a year?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/6 and 125\/4884.\nAnswer: 4884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 508\/(-4) - 3*1. Let t be (p\/4)\/((-5)\/10). Let i = -25 + t. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 PM and 10:46 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2686147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 29584 - 5595?\nAnswer: 23989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*m - 2*m + 5*m)*(-1 + 5 + 3) + 3 - 3 - 6*m to the form f + h*m and give h.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g - 9. Let w be i(-6). Suppose -4*x + 3*x + w = 0. Suppose l = -0*l + x. Solve 0 = a + j - 5, -l*a + 0*j + 12 = 2*j for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1327233 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13508434?\nAnswer: 2, 41, 257, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -2. Let z = 7.19 + -7.8. Let q = z + -1.39. Which is the third biggest value? (a) q (b) -2\/3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(80)\/sqrt(2)*-1)\/((sqrt(225) - (sqrt(225) + sqrt(225)*2))\/sqrt(5))*4.\nAnswer: -4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -3*i. Let p(t) = 24*t - 57*t + 31*t. Let f(s) = 2*s. Let o(z) = 3*f(z) + 2*p(z). What is a(o(w))?\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/15, 5, -51693, 7.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1348\/(-51898))\/((-8)\/11).\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 1434, -508 in decreasing order.\nAnswer: 1434, -4, -5, -508","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i - 179 + 177 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a microsecond in nanoseconds?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -814*h + 10 + 332 = -741*h - 680 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**4 - 2*r**4 + 2*r**4)*(287 + 1374 - 404 + 1 + 0 + 1 + (0 - 2 + 4)*(3 + 2 - 6) - 3 - 3 + 3).\nAnswer: -1254*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.4 (b) -5 (c) 11\/2 (d) -0.5 (e) 3\/113 (f) 1\/73\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -2*a + 26. Let g be 18\/4*52\/117. Suppose -3*c + 18 = 4*y, -a = -g*c - y - 6. Solve k + c = 0, -4*k + 0*k = -4*n + 8 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 + 9*g - 16. Let b be n(7). What is the smallest value in b, -3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 4:08 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 18 + -4*4\/(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.36 - -9.2?\nAnswer: -9.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 318833 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 5*v**2 + 2*v + 3. Let r be j(4). Let k(t) = -19*t**2 + 79*t. Let s(x) = 7*x**2 - 29*x. Let a(f) = -18*k(f) - 49*s(f). Calculate a(r).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83811 divided by 1?\nAnswer: 83811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + 4*q**2 + 3*q + 4. Let w = 15 - 15. Suppose 2*r + 14 = -2*z - 0*z, w = 3*r - 4*z. Calculate y(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*r = 15*r + 3740. Let o be ((-2)\/(-9)*3)\/(12\/18). Let l be -4 + (o - (-142)\/2). What is the greatest common factor of r and l?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3045, -3382, -4297, -6078, -9013, -13390?\n\"Answer: -48*i**3 - i**2 + 2*i - 2998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/76 and 107\/156.\nAnswer: 2964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + 0 + ((-12)\/(-1))\/1. Suppose -8 + v = o. Let k = -6 - -11. Solve -o*y + k = -20 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.1 (b) 0.7 (c) 0.5 (d) -3\/2 (e) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 3*h + 2*l, 0 = h - l + 3*l - 12. Does 14 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10131874549 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 2 + 1)*(22*l**2 + 13*l**2 - 50*l**2).\nAnswer: -180*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirteen eighths of a microgram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + 1163052500?\nAnswer: 1163052500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/3344 and ((-350207)\/118560 - (-3)\/1) + (-10)\/75?\nAnswer: 6688","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 - -12.3. Round h to zero dps.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/4)\/(9\/942687)*-52. Let x = -3923318 - u. What is x rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 6*r + 3. Suppose 3*o = -12, -3*a + 10 = 5*o - 3. Suppose 0*g - g + a = 0. What is the remainder when w(3) is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 459 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3 (b) 67 (c) -5 (d) -1\/238 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 78 + -80. Which is the smallest value? (a) t (b) 0.3 (c) 6\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 20 = -2*u. Solve 6*y = 2*y + u*m, 5*y - 41 = -4*m for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -71834081*s*y**3 - 97332*s*y**2 - 105*s - 2*y wrt y?\nAnswer: -431004486*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.062*-5\nAnswer: 0.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 0, -3953, 1, -4.\nAnswer: -3953, -4, 0, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -87 - -157. Round n to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*i + 4*i + 90. Let p = 9 + i. Calculate the highest common factor of p and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 141380305?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19.08 + -14.464. Round a to 1 decimal place.\nAnswer: 4.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-68.\nAnswer: -13.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 708 and 30.\nAnswer: 3540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13.542 + 14.242. Sort -4\/19, 9, h, 0.5 in increasing order.\nAnswer: -4\/19, 0.5, h, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c - 8. Let s be l(5). Let m be (-14)\/(-4) - s\/6. Let q = 5 + m. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.7, 4, 30\/13?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 294 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b2 - 45c1?\nAnswer: -4683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**5\/3 - 14*y**4 - 578*y**3\/3 - 434*y**2 = 0.\nAnswer: -7, -3, 0, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*g + g + 5*g.\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -1, -2287, -4\/7, -3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 668, 1275, 1886, 2501, 3120, 3743?\nAnswer: 4370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 701238 and 2190?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -6, -34, -88, -168, -274, -406, -564?\n\"Answer: -13*m**2 + 11*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x - 4*q = 11*x, x - 4 = 3*q for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -990 = -12*v + 3*v. Let u = v - 110. Let q be (0 - 5)*2\/(-5). Solve u = 4*d - q*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -3*p**4 + 5*p**3 + 25*p**2 + 17*p - 2. Let j(z) = -65*z**4 + 110*z**3 + 550*z**2 + 375*z - 45. Let i(m) = -2*j(m) + 45*n(m). Factor i(k).\nAnswer: -5*k*(k - 3)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/2)\/((-25)\/(-13525)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 147\/280 + 2*(-2)\/32.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8 + -1.271.\nAnswer: -0.471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g = 10*g. Find o such that -6\/5*o**3 + 0*o + 9\/5*o**4 + g + 0*o**2 - 3\/5*o**5 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, z: 1, b: 3, h: 5}. Give prob of picking 1 c and 1 h.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 57.59567 centimeters?\nAnswer: 575.9567","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 13, 42, 81, 136, 213, 318?\n\"Answer: x**3 - x**2 + 25*x - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s + 5*q + 34 = -9, 2*s + 5*q = -19 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, -21, -3, 2, 30, 11 in ascending order.\nAnswer: -21, -4, -3, 1, 2, 11, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*u**2 - 14*u**2 - 29*u**2.\nAnswer: -53*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 57549517 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 51871*o*s**3 + 5*o + s**2 + 7*s + 6 wrt s.\nAnswer: 311226*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -631785*a + 631672*a - 3147 - 3746 = 0 for a.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, u: 1, i: 6, e: 1, c: 1, r: 3}. What is prob of picking 3 r?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*t = -48*t + 3011. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 233016 and 3436986.\nAnswer: 13747944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of -225\/13*h**2 - 1\/78*h**4 - 10\/13*h**3 + 0 - 32*h. Factor f(i).\nAnswer: -2*(i + 15)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -342071.670057 - 2443.334543. Let q = 344558 + u. Let y = q - 43. Round y to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/((-1512)\/(-60)))\/((-6)\/(-24)).\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 218 (b) 0.2 (c) -1\/1600\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 3*q - 10. Let g be q*(-2)\/(-1)*2. Solve 4*k = g, -4*c + 4*k + 2 = -6 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18532 is divided by 169?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -570 divided by 57\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in six fifths of a millennium?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 4739000 to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 208 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/823669 or -1?\nAnswer: -1\/823669","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -4900*n - 2. Let j(v) = 167*v - 4. Give j(l(i)).\nAnswer: -818300*i - 338","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 798613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 445 + -445. Solve g = 3*u + 12 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 101136 and 50208606.\nAnswer: 1806","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-h**3 - 9 + 5*h**3 + 8)*(2 + 17 - 1) as n + v*h + i*h**2 + q*h**3 and give q.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 5733?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000270188531 rounded to 5 dps?\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1230 and 840.\nAnswer: 34440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 327612, 327613, 327614, 327615, 327616, 327617?\n\"Answer: j + 327611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 1961 + 7007 = h, 3*h - 26982 = -r. Is h a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1179, -1176, -1159, -1122, -1059?\n\"Answer: w**3 + w**2 - 7*w - 1174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, c: 2, q: 5}. Give prob of picking 1 z and 3 q.\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + 7*h**2 + 9*h - 7. Let z be p(8). Let r = 5 - 2. Let l = r - -2. What is the closest to z in 3\/2, -0.5, l?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -1, -24 in descending order.\nAnswer: -0.2, -1, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 5 + -1*sqrt(1216) + -2)**2*-4.\nAnswer: -4864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 5\/2, -51?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 895489 and 133?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2176119 or 2176128?\nAnswer: 2176119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -6. Does 6 divide 14 - (-4)\/(4\/a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.02 + -0.207. Let r = 0.387 + k. Which is the second smallest value? (a) -11 (b) 4\/9 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*n + n + 0*n)*(-2 + 3 + 1)*(-4 + 2 - 8)*(-4 + 5 - 3 - 4 + 2 + 1 + (1 - 5 + 5)*(-2 + 1 - 1)) as k*n + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1113 (base 10) to base 5\nAnswer: 13423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7585 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 < 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -104310420 (base 5) to base 16.\nAnswer: -71183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -284 in decreasing order.\nAnswer: 4, -5, -284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*o + 4*d, -2*o - 80 = -7*o + 4*d. Solve -g - o = 3*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(5) + 0 + -4 - sqrt(5))*-4)**2.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 + 13024237*d - 65121210.\nAnswer: (d - 5)*(d + 13024242)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 4*c + 28 = 0, h - 4*h - 22 = -2*c for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2027.66 and 1820?\nAnswer: 3690341.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*h = -45*h - 13*c + 230, 2*h = -3*c + 108. Let q(y) = 88*y**2 - 3*y - 3. Let x be q(-3). Calculate the greatest common divisor of x and h.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29309 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4494, -4482, -4456, -4410, -4338, -4234, -4092?\n\"Answer: g**3 + g**2 + 2*g - 4498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1024509*d**3 - d**2 + 7248*d - 22 wrt d?\nAnswer: -6147054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 x when three letters picked without replacement from {t: 3, o: 3, x: 2, v: 5, s: 2}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 778582500?\nAnswer: 2, 3, 5, 103811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d - d - 2*d + (-4 + 2 - 3)*(3 - 1 + 0)*(3*d + d - 5*d + (2 + 1 - 1)*(-d + d - d)).\nAnswer: 29*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 1241 = -4*x + 63, 0 = x + 3*g - 336. Calculate the greatest common divisor of x and 1188.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -94.1, -328?\nAnswer: -94.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + 0. Suppose 4 = -3*g + q. Solve o = -g*o + 12 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/1964 and 56\/9.\nAnswer: 17676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1162 rounded to two dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*o**2 + 15 + 0 - 26*o**2.\nAnswer: -83*o**2 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 9:29 PM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -10. Let u be (q + -1)\/((-4)\/(-168)). Let o = u + -9. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43530 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.726 - 0.026. Let q = u - 18.7. Let c = 14.9993 + q. Round c to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -129368.\nAnswer: -3\/129368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to -8\/47931?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 4*k = 4263 + 2602, -3*t + k = -4126. What is the remainder when t is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of 3 + 0*a + 0*a**2 - 2\/3*a**3. Let b(d) = -1450*d + 2899*d - 34*d**2 - 1449*d. Give v(b(n)).\nAnswer: -2312*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in -1\/2, -0.2, -0.3, -8\/5?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*o + o**2 + 12*o - 3*o - o**4 in the form x*o**2 + s + n*o**3 + z*o + v*o**4 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 12:18 PM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 266453 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 - 9*d + 15. Let t be v(-9). Calculate the remainder when 373 is divided by (141\/t)\/(2\/10).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1198 - -1507. Calculate the greatest common divisor of o and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 516617133 to the nearest integer?\nAnswer: 802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -231 (base 16) to base 7\nAnswer: -1431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -a + 24. Suppose 2*t + 147 = 187. Suppose 188 = a*r + t. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y + 1. Let c(v) = 3. Let b(t) = -c(t) + 3*x(t). Let k(o) = 4*o. Give -6*b(h) + 4*k(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 445 and 309987.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2668*o - 37163 = 5525 for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -310, 93, -1, 2\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1770912 and 429?\nAnswer: 1770912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -4730 not equal to 3148?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 244327247?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of -y**7\/840 - 7*y**6\/720 + y**5\/12 + 2*y**2. Let p(a) be the third derivative of i(a). What is the tens digit of p(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/(sqrt(132)\/(sqrt(11)*3)).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1394, 1424, 1476, 1562, 1694, 1884?\n\"Answer: 2*d**3 - d**2 + 19*d + 1374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 158, -4, -5, 1, 0.\nAnswer: -5, -4, 0, 1, 3, 158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17389 + 34774 + 6106*p - 17384 to the form j + w*p and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11202002 (base 3) to base 6.\nAnswer: -24002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/9)\/(4\/18). Let z(r) = 2*r**3 - 7. Let h(k) = -6*k**3 + 21. Let q be -738 + 741 - (-3 + (-2)\/1). What is f*h(v) + q*z(v)?\nAnswer: -2*v**3 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 - 2580*k - 38918. Calculate v(-15).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2968 - 482 = -138*s. Which is smaller: s or 276\/11?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 3*f**2 - 2*f + 9. Let g be j(5). Suppose 0 = -g*x + 204*x - 35. Which is the third biggest value? (a) 0.2 (b) -3 (c) x (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2576153 to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3\/9)\/(3\/(-63)))\/(9\/18).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 318885 by 3.\nAnswer: 106295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 215, 119, 23?\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 10*s. Let q(p) = 3*p. Let d(o) = 21*q(o) - 6*w(o). Let j(v) be the second derivative of -v**3\/6 + 12*v - 1. Give j(d(t)).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9039.265 centuries in years?\nAnswer: 903926.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -8*m**2 - 12*m - 4. Let j(w) = -3*w**2 - 4*w - 1. Let s(b) = -11*j(b) + 4*v(b). What is the remainder when 26 is divided by s(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 255105537?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 4 + 9*v - 9*v + 11*v + 4. Let c be 12 - (-4 + 4 + -9 + 16). Let x(t) = -12 + 5 + 7*t + 12. What is c*z(y) - 8*x(y)?\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4985 - 3063. Is x a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 - 9377*l - 93665. Calculate n(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4872681 to the power of 1\/2, to the nearest integer?\nAnswer: 2207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36869643 to the nearest integer?\nAnswer: 6072","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 259739766?\nAnswer: 2, 3, 11, 13, 19, 47, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 3*y - 25, 15 = -5*y + s - 4*s. Which is bigger: 3 or y?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/678 and -59\/12.\nAnswer: 1356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 241265?\nAnswer: 241261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i**3 + 5*i**2 - 6*i - 4. Let a be k(-4). Let p be (-4)\/18 - -4*a\/(-18). Let f(r) = 3*r - 8. Determine f(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2455231 (base 6) to base 14\nAnswer: 361b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 + -28. Suppose d - g*j - 13 = -4, 5*d - j = 90. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 o, and 2 r when four letters picked without replacement from {k: 3, x: 2, o: 4, r: 2}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 - 5*p + 5*p)*(244 - 466 + 222 + 5734*p).\nAnswer: 11468*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21074800 and 96350?\nAnswer: 864066800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-22)\/4)\/(-11) - 10\/4. Let p(w) = -18*w**2 + 5*w + 5. Let x be p(i). Let k = x + 151. What is the highest common factor of 37 and k?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13204212 (base 6) in base 4?\nAnswer: -1222202300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of 4\/3*k**3 + 64*k - 48*k**2 + 5 + 4\/5*k**5 + 6*k**4. Factor l(m).\nAnswer: 4*(m - 1)**2*(m + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -5*a**2 + 8. Let y(z) = -8*z**2 - 2 - z**2 + 2 + 15. Let x(i) = -7*d(i) + 4*y(i). Give x(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 2:21 AM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3203 + 5?\nAnswer: 3210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2423 - 2415. Which is the smallest value? (a) o (b) 2 (c) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4340223 and 3370.\nAnswer: 43402230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*z + 2*z. Let h = 6 + 12. Let v be 6\/h*(1 + -1). Solve -3*o + o - 8 = 2*r, v = z*r + o + 4 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/6)\/(2\/(-15)). Let g = l - 2. Solve g = 4*p + 11 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 11*u**2 - 3*u + 1. Let d(r) = 17*r**2 - 4*r + 1. Let i(a) = 5*d(a) - 8*o(a). Let t be i(2). Let h be (5 - t)*(-2)\/(-4). Which is smaller: 0.1 or h?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2024 (base 12) in base 16?\nAnswer: -d9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -484301927*p**3 + 1637061*p**2 + 3*p + 44 wrt p.\nAnswer: -2905811562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8956.\nAnswer: 2, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 43, -183, -6, -5, -4 in decreasing order.\nAnswer: 43, -4, -5, -6, -183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 + (8 - 13) - -3. Solve 2*j + 3 = -c*h + 5*j, 4*j + 14 = -5*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2 = 20. Let q = t - -29. Suppose -52 = -5*w + 4*w. Calculate the remainder when w is divided by q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09796 times 0.14?\nAnswer: 0.0137144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 - -12. Let z = r + -9. Let k be (-5)\/(-25) + z\/(-10). Solve -5*c + w - 15 = 0, c - 3 = k*c + 4*w for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.13 + 24.13. Let p = 27 - a. Sort p, 1, 3\/4.\nAnswer: 3\/4, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4357.316 to the nearest integer.\nAnswer: -4357","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h + 10. Let o be y(-8). Let r be 7\/2 - (-3)\/o. Let x(l) = l**3 - 5*l**2 + l + 1. What is x(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*t + 7*t = 6*t. Suppose 6*f - 4*f - 16 = 0. Solve -j - j - f = t for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*o + 6*o + 82 = 100 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 10 + 6 = 4*g, -2*p = -2*g - 12. Let l(i) = 69*i**2 + 2*i + 1. Let c be l(g). Suppose -2*j - 2*j = -c. Solve 3*n - j + 2 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5946055?\nAnswer: 5, 691, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + 35*t**2 - 35*t + 43. Determine a(-36).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-z - z**3 + z)*(z - 6*z + 2*z)*(1 - 21 - 2) in the form x*z**4 + u*z + d*z**2 + a*z**3 + m and give x.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {z: 4, w: 6}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 355, 367, 379?\n\"Answer: 12*p + 343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 10}. Give prob of sequence ssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k**3 + 3781940*k**2 - 715070298240*k - 31470415384320 = 0. What is k?\nAnswer: -44, 378216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -7 - (-2 + -2 + -7). Let v = 23 - 20. Let l(i) = 2*i - 4. Let p be l(4). Solve -2 = -v*w - p*o - 6, -4*w - 5*o = j for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3*y = 9, -4*u + y + 2 + 14 = 0. Suppose -u*q = -8*q + 90. Calculate the lowest common multiple of 6\/q*(0 + 3) and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -5*q**2. Let u(r) = -1081574*r. What is u(i(s))?\nAnswer: 5407870*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -6*((0 + sqrt(75))*-4 + -2 + -5*sqrt(75)))**2.\nAnswer: 5400*sqrt(3) + 218800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2 and -123.\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -7099 < 20\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xdkx when four letters picked without replacement from xdgdxjkjjkjddk?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*p = 141*p - 3*l + 46, -3*p = 5*l + 31 for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 12460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 24\/(-9) + (-2)\/6. Suppose 7*j = 6*j + 1. Let y be (4 + 0)\/4*j. Sort -2, y, h.\nAnswer: h, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23108?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 119 - 116. Suppose j + 4*j - 3*g = 733, 4*j - 608 = -b*g. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 27*k**5 + 360*k**4 + 348*k**3 - 976*k**2 + 384*k = 0.\nAnswer: -12, -8\/3, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -3*b + 3*h, -3*h + 2*h + 22 = -4*b - 2*h - 0*h for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 2*v + 7, -d + 6 - 2 = v. Suppose 195*i + 395*i + 2950 = 0. Put -3, d, 3, i in descending order.\nAnswer: 3, d, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 977677 to the power of 1\/4, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 3.1. Let k = 0 - -5. What is the nearest to -1 in o, 0, k?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1637, -2, -24 in descending order.\nAnswer: -2, -24, -1637","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xe when two letters picked without replacement from {x: 1, q: 5, e: 8, w: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 0*a - a = 1, k + 4*a - 13 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 310.3225ml to litres.\nAnswer: 0.3103225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -559 - -565. Let x(c) be the second derivative of 0 - c**3 - 5\/12*c**4 + 1\/20*c**5 - c + 1\/2*c**2. Determine x(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8618?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*k - 4*k + 3*k)*(-13*k**3 + 11*k**3 - 10*k**3) + (-k**2 + k**2 - k**2)*(k**2 + 10*k - 10*k) in the form u*k**3 + d*k**4 + s*k**2 + x + m*k and give d.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -52 + 65. Let u be -11 + k + (-2)\/2. Let h = -95 - -2091\/22. Is u less than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1\/r)\/r**(2\/7)*r\/(r*r*r**(-4)\/r*r)*r**(4\/7)*(r\/((r\/(r\/((r\/((r**(2\/7)\/r*r)\/r))\/r)))\/r))**(-10)*(r**(1\/4))**(-1\/30) assuming r is positive.\nAnswer: r**(-8047\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*z - 2*t = -19*z - 23477, z = -7*t + 23442. What is the hundreds digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155132284.\nAnswer: 2, 38783071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9*(48\/(-2))\/(-24))\/(825\/(-5)).\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/10 + 2\/4. Suppose m = 4*s - 0*s - 33, 3*m - 9 = v. Suppose 2*x = -10, s = -2*g + 4*x + 39. Solve -2*h + j - 2 = 3*j, -3*h = -g*j + 19 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35865 by 7173.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 49373\/3094 - 271\/17. What is the common denominator of -87\/26 and u?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*m**3 + 2*m**3 + 0*m**3 + (5 - 5 + 2*m)*(-2*m**2 + 2*m**2 - 3*m**2).\nAnswer: -12*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -28*s**2 - 4*s + 5. Let l be o(2). Find the common denominator of (-7)\/(-84)*51\/2 and (-1 - 0\/3) + l\/20.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g**2. Let v(h) = -81606*h - 2. Determine v(j(b)).\nAnswer: -244818*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 341.93 and -0.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - c + 0*c - 258 = 0, l + 54 = c. Let g = -101\/2 - l. Let b(w) = -w**2 - 3*w - 1. Let s be b(-2). Is s at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4899\/163 >= 29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, -4, 45, -94571 in decreasing order.\nAnswer: 45, -3, -4, -5, -94571","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -332.04 - -320. Let q = 12 + h. Round q to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159 = -10*g + 39 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 54959959 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8 - 5 - (0 + 1). Let p(s) = s**3 - s**2 + 5*s**t + 21 - 4*s**2. Is p(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, l: 1, v: 6}. Give prob of sequence vlv.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + -8 + 12 - 8?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -138c (base 13) to base 16\nAnswer: -b04","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-2)\/4*(-36)\/(-126))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.4475 nanograms in milligrams?\nAnswer: 0.0000934475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (6 - 1) - (19 + -27 - -3)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 125465221 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 625299049 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -27*g**4 + 1965*g**3 + 86433*g**2 - 6483165*g - 1444950 = 0. What is g?\nAnswer: -57, -2\/9, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 73 by 630.\nAnswer: 73\/630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 - 4\/2)*3. Let f = 1.3 + 3.2. Let l = f - -0.5. Which is the second biggest value? (a) -0.5 (b) l (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 146368\/13 + -11259. What is the nearest to 0 in x, 1, 5, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {v: 11, q: 1}.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/11*(-3)\/(-5). Let s = -307\/1047 + -14\/349. Put s, y, -0.5 in increasing order.\nAnswer: -0.5, s, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/43 (b) 4 (c) 2 (d) -124\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 3. Let j be -3 + (3 - (0 + t)). Let h(m) = m**3 - m**2 + 23. Is h(j) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = 3*c + 5, -3*c = -4*c + 3*l + 1 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3 - ((-4)\/14 + 93\/154) and 2\/9.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 151 - -106136?\nAnswer: 106320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 8769, 14 in descending order.\nAnswer: 8769, 14, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1398 + -1403. Which is the third smallest value? (a) -1\/4 (b) q (c) 3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -59616720 to the nearest 1000000.\nAnswer: -60000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 1)*(-k + 783 - 783) + 5*k - k - 5*k - 1 + 290*k + 1 - 781*k.\nAnswer: -494*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3945 is divided by 656?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = -2*d - 6*f + 84, 0 = 3*d - 3*f - 129. Does 5 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -5*f - 1. Let i(r) = 4*r + 2. Let y(m) = 2*a(m) + 3*i(m). Let c = 8 + 0. Let u be y(c). What is u rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 o when two letters picked without replacement from woohh?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24721?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26 + 20 + 14)*(-n - 2 - 1 + 4)*(24 - 24 - 13*n**2).\nAnswer: 104*n**3 - 104*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 254411 + 114589. Round b to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 + 12*z. Let t be k(11). Suppose 144 = t*p - 230. Suppose f + 6 = 2*x - 10, -2*x + 2*f + 14 = 0. What is the remainder when p is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 7:05 AM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 530024492?\nAnswer: 2, 163, 812921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4*(162\/(-20) - -8). What is the closest to -0.1 in 5, 34, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -15*f**4 + 28*f**3 + 64*f**2 - 112*f - 16 = 0.\nAnswer: -2, -2\/15, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3*w + 16 = 0, -2*l + 2*w = -158. Does 5 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3*o - 45. Let f be t(-19). Let z be (-12)\/24 + -11*(-2)\/f. Which is the nearest to -2\/3? (a) 1 (b) 0.4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 r when two letters picked without replacement from bbbrrrbrbbrbbbnr?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3 + 6884*f**2 + 5923682*f.\nAnswer: 2*f*(f + 1721)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5654?\nAnswer: 2, 11, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000513183759 to 5 dps.\nAnswer: -0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4670 is divided by 864?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2560 and 53712?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-16)\/(-12)*7\/((-84)\/(-18)). Solve 8 - 16 = -z*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 4:46 PM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -951*k + 946*k + 70 = 0. Solve -k*i = 10*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31\/(-2170) - -2*1\/(-7)\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**2 - 557970908081 + 557970908081.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -106, -201, -320, -463?\nAnswer: -630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27901 times 47?\nAnswer: 1311347","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 30389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-462))\/(39\/468).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t. Let o(h) = h**3 + 17*h**2 - 17*h + 19. Let w be o(-18). Let l(x) = -5*x**3 + 90*x**2 - 550*x + 1080. Let z(q) = w*l(q) - 10*g(q). Factor z(d).\nAnswer: -5*(d - 6)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11100000000100111010 (base 2) to base 10.\nAnswer: -917818","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -701*z**3 + 208*z**2 + 1893*z**3 - 208*z**2.\nAnswer: 1192*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -540*o**2 - 3 - 2524*o**2 + 7 - 4 to the form z*o + p + c*o**2 and give c.\nAnswer: -3064","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.044441 and -0.08.\nAnswer: -0.00355528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 645 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(30) - 2*sqrt(3000))\/(sqrt(40)\/sqrt(16) + sqrt(10)) - (0 + -1*sqrt(147) + -2))**2.\nAnswer: -68*sqrt(3)\/3 + 286\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2446477 or 2446469?\nAnswer: 2446477","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3806522493 from -3.\nAnswer: -2.6193477507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -789*d**2 - 42*d + 1. Let f(j) = -j**2 + 28*j - 1. What is -f(u) - m(u)?\nAnswer: 790*u**2 + 14*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - 23*g - 213. Suppose 5*h - 2*h = 120. What is the remainder when a(33) is divided by h?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 21\/5 of a millennium?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 + 47 = 15*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 608, 3, -4, 941.\nAnswer: -4, 3, 608, 941","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 2*j - 33 = 4*j - u + u + 4*u, 0 = u + u + 6 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = 277*x - 509 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 2348973?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 1 - (-1394)\/(-153)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 45134, 361503, 1220200, 2892389, 5649234, 9761899, 15501548?\n\"Answer: 45194*s**3 + 11*s - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 13024\/464 + (-6)\/87. Solve 0 = -29*j + m*j - 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 20*s**2. Let l(g) = 175580*g. Determine x(l(q)).\nAnswer: 616566728000*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 s when two letters picked without replacement from oxeoooxlsofexxs.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14840*j**2 - 4086 + 29680*j**2 - 14842*j**2 to the form h*j**2 + f*j + q and give q.\nAnswer: -4086","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-5 + sqrt(448))**2*1 + (sqrt(168)\/(-2*sqrt(6)))\/((sqrt(32) + sqrt(96)\/sqrt(3))\/sqrt(8) + sqrt(4) + sqrt(4)))*-1.\nAnswer: -1919*sqrt(7)\/8 + 1419","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 165071159219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29326?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.055 in -1\/2, 0.2, -9\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 4:42 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 5*o - 10, 0 = b + 2*b + 3*o - 6. Let z(y) = -2*y**3 - y**2 - 3*y - 3. What is the remainder when z(-2) is divided by b\/2 + 7 + 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 339070, 678195, 1017320, 1356445, 1695570, 2034695?\nAnswer: 2373820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 23, 0.3, 2\/19, -0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49, -4, 1, 38, 3.\nAnswer: -4, 1, 3, 38, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 68 and 221?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 11\/1*(946\/(-33))\/43\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, b: 4, p: 9, v: 1}. What is prob of sequence ppv?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-10)*(88 + -83) + 10. Solve -j = z - 2 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.04 - -0.04. Let k = f - -4. Let z be 2 + ((-162)\/21)\/3. Sort k, 1\/3, z in ascending order.\nAnswer: z, 1\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/5*3)\/(1374\/(-20610))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 PM and 11:34 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13248*m + 114 = 13246*m + 32*q, 2*m = -5*q - 3 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -15, -1, -9, -3, 44 in descending order.\nAnswer: 44, -1, -3, -5, -9, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 491584.41 milliseconds to hours.\nAnswer: 0.136551225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46042 = 4*h - 14594. Let y(i) = -h + 15159 + 2*i. Let v(w) = -1. Let c(x) = -4*x + 4. Let g(b) = c(b) + 4*v(b). What is y(g(t))?\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -211 - -367. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -3 + 1 + -4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 119190764?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 8701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -159055518 by 6.\nAnswer: -26509253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*u + 12 = a, 62*a - 183*a + 117*a = -4*u for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -6*t**2 + 156*t + 654. What is r(31)?\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3534 - -3515. Put 0, 2\/19, -6, 2\/7, o in descending order.\nAnswer: 2\/7, 2\/19, 0, -6, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**3 + 0 + 0 + (0*t - 4*t + 13*t)*(t - 2*t**2 - t))*(24 - 3 + 1).\nAnswer: -374*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + 8*f + 5. Let a(l) = 2*l**2 + 17*l + 10. Let r(d) = 2*a(d) - 5*o(d). Calculate the smallest common multiple of r(-4) and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 4\/1407?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.70415 - 1.6717161. Let q = 0.0324 - i. Round q to 6 dps.\nAnswer: -0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10351\/683 or 16?\nAnswer: 10351\/683","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1522035 (base 7) to base 5\nAnswer: 23112243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/4))**42*(t*t**(-2))**(-20\/7)*((t*t\/(t**(-7)*t))\/t*t**(-2\/7))**(-4\/15) assuming t is positive.\nAnswer: t**(347\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/13)\/((-31248)\/(-50778)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 12:44 PM?\nAnswer: 1:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2766 is divided by 54.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 1 = -5. Suppose n - 2 = s. Solve -l + n*h = 25 - 9, -3*l + 20 = 5*h for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) - (sqrt(119) + sqrt(119)*-2 + sqrt(119)))*3)\/(sqrt(175) + sqrt(175)*-2).\nAnswer: -3*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4.546 and -1425453.\nAnswer: -1425457.546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/3 and 56\/48*(-400)\/(-210)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**2 - 22103 + 22103.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fxci when four letters picked without replacement from {x: 1, c: 1, i: 1, f: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -72, -14, -4, -0.2, 0.41.\nAnswer: -72, -14, -4, -0.2, 0.41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33420333 to the nearest integer?\nAnswer: 5781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 AM and 6:34 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -325 take away 0.002?\nAnswer: -325.002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**2 + 5*w + 3. Suppose -9 = 2*r - 5*j + 8, 5*r = 3*j + 5. Let k be z(r). Let b be (k\/21)\/((-6)\/(-8)). Is -1 bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) + -3 - (sqrt(7) + -1 + sqrt(7) + 0))**2.\nAnswer: -8*sqrt(7) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-15)*(13 - 18).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -25a?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a**3 + 57445*a**2 - 229720*a + 229700 = 0.\nAnswer: 2, 11485","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -3795*f - 5. Let z(v) = 2313051*v + 3048. Let j(u) = 3048*l(u) + 5*z(u). Let s(k) = 2*k**2. Calculate s(j(g)).\nAnswer: 7258050*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**4 + 600157*g**3\/6 - 3335083563*g**2 + 37066489282170*g - 6177655572948.\nAnswer: -(g - 33342)**3*(6*g - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1267531 to the power of 1\/2, to the nearest integer?\nAnswer: 1126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 245653 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14248 is divided by 4747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.3 + 5. Suppose 4*u = -u + 25. Suppose 5*z = -3*s - 4, -3*s - 14 = u*z - 5*s. What is the closest to z in i, -0.1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2*n + 2 = 6, 3*o - n + 5 = 0. What is the remainder when (35 + 18)\/(2*o\/(-4)) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2140323346 to the power of 1\/4, to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iai when three letters picked without replacement from aaxaxcaaicxcciix.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24 - -23) + ((465\/130)\/3 - 42\/273)?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -m**4\/2 + 1378*m**3 - 1262691*m**2 + 381708450*m + 5468609727\/2 = 0.\nAnswer: -7, 921","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2760 - 2724. Solve 0 = -f*u + 4 - 40 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12659128 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2. Let u(m) be the third derivative of 23*m**5\/60 + 7*m**2. What is u(j(a))?\nAnswer: 23*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 162619976?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6896*v + 343785 + 189159 = -1986*v - 61166 for v.\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*t - 744 = 24*t for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/(-105)*-3*(-21)\/(-168).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -17 + 8 + 1 + h. Let u(z) = -2*z + 16. Calculate -5*o(p) - 3*u(p).\nAnswer: p - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 + 4*f + 16. Let r be u(6). Sort 8, r, -5, -3 in increasing order.\nAnswer: -5, -3, r, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008048466 rounded to 5 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 478122 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jnnnnjaaejje. Give prob of sequence je.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*y**2 + y**2 - 5*y**2)*(-1 - 95*y + 88*y + 9) - 7*y**3 - y**3 - 17*y**3 + 3*y**3 in the form m + l*y**3 + d*y + a*y**2 and give l.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -2*f - 2*j + 26, -16*f - 125 = 3*f - 2*j for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = 0, -7*m = -3*f - 11*m - 9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c**2 - 720*c + 8404 = 0 for c.\nAnswer: -191, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1010010100111111000 (base 2) to base 7\nAnswer: 2606442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 131 = -9. Is 2 > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -34220, -34206, -34192, -34178, -34164?\n\"Answer: 14*u - 34234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 AM and 11:15 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 + 4*n + 4. Suppose 0 = 4*j + y + y - 20, -10 = -2*j + 3*y. Let c be b(j). Which is smaller: c or -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6330.16 rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((7\/(-2) + 4)\/(-1))\/1. Is -27 at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1520 - -3968. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 4\/5 (b) -308 (c) -3 (d) -8 (e) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1097*i**3 - 1000*i**2 wrt i.\nAnswer: 6582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**2\/2 + 278373*y\/2 + 417573 = 0. Calculate y.\nAnswer: -3, 92794","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17329, -34371, -51413?\nAnswer: -68455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 343ab + 3?\nAnswer: 343b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2. Let v(i) = -369*i**2. Calculate v(j(n)).\nAnswer: -369*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-11)\/y**(-3\/2))\/(y\/((y\/y**(3\/2)*y*y*y)\/y*y*y))**32 assuming y is positive.\nAnswer: y**(141\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5639 is divided by 57?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 280\/245*(-14)\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 24 - 108 - (0 + -6) - (-50 + 34)\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {e: 3, t: 2, s: 1, v: 4}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 47 - 59 = 0. Let r(d) = -d + 3. Let k(f) = f + 1. Let m(a) = -2*k(a) + 2*r(a). Give m(v).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (0 - (6 - 11)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -26, -42, -46, -32, 6, 74, 178, 324?\n\"Answer: q**3 - 23*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97414.\nAnswer: 2, 53, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-16) + (-1)\/4. Is t >= 53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 5*j - 27 = -9, -z + 4*j = 9. Suppose 2 - 4 = r. Sort r, 5, z, -3 in decreasing order.\nAnswer: 5, z, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.21 - -56.21. Let o = s - 144. Let v = o + 127.5. Round v to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 5*j + 1618, -671 = 4*w + 3*j - 3935. What are the prime factors of w?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6, t: 4}. Give prob of picking 3 t.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -155*m + 156*m - 5. Suppose 0 = m*f - 8*f + 90. Solve 0*j + 6*j + f = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4269 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = -8*t, 3*t = -18*g + 20*g + 17 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/4 (b) 0.3 (c) -1 (d) -2747\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 70 = 2. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.1, 18, 3\/4 in ascending order.\nAnswer: -4, 0.1, 3\/4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 100 and 3020.\nAnswer: 15100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of -b**4\/24 + b**3\/2 - 5*b**2\/4 - 115*b + 2. Factor l(v).\nAnswer: -(v - 5)*(v - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 3. Suppose 2*k = a*k. Suppose k = -4*h + 3*m + 2*m + 15, -h = 3*m - 25. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 m when two letters picked without replacement from ambfamfmavfvfm?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 808.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-2 - 6) + (17 - 4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40 + 24. Let y = g + 6. Let s be (y\/(-15))\/((-2)\/(-3)). Are -1 and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 6*t - t)*(2*t**2 + 4*t - 4*t) - 4 + t**3 + 4.\nAnswer: 7*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*w, 6930 = l + 4*l + 5*w. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.221, 2135, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of 1\/8*f**4 + 1\/12*f**5 + 1\/120*f**6 + 0 + 0*f - 9*f**2 - 1\/3*f**3. Suppose 2*p + 49 - 39 = 0. Determine h(p).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2 - 7096*i + 7098.\nAnswer: -2*(i - 1)*(i + 3549)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -3*l**2 + 470*l - 18993. What is p(84)?\nAnswer: -681","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 12 = 2*v, -8 = v - 3*v + 2*m. Let s = -4 + 2. Let i = 4 + s. Which is smaller: v or i?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 16431111?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -696*i + 691*i + 5*v + 5, 3*i - 2*v = 7 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + 6 + 16 + 2 + 7 + -27?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11201 + -1002?\nAnswer: -12210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-204)\/(-14))\/2 - 24\/84. Solve -24*s - 93 = a*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1001665?\nAnswer: 5, 7, 28619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1831, -1818, -1793, -1756, -1707?\nAnswer: -1646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*h**6 + 243554*h**4 + 6449777*h**2 wrt h?\nAnswer: -960*h**3 + 5845296*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -1. Let l(n) = n + 7. Let g(i) = -l(i) - 3*q(i). Let v be g(-5). Let r = -49 + 62. Solve -3*d = r - v for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-26)*c)\/(c\/(c*c\/(((c\/((c\/(c\/c**(-11)))\/c*c*c)*c)\/c*c)\/c))) assuming c is positive.\nAnswer: c**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 206740361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, s: 3, j: 1, v: 2, h: 4, c: 2}. What is prob of sequence hs?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 3 + 11. Suppose 310 = 4*b + x*t, -4*b - 2*t + 301 = 3*t. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1285 and 40.\nAnswer: 10280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56457786 divided by 18.\nAnswer: -9409631\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/12029164 and -53\/1164.\nAnswer: 36087492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(9\/(-12))*3. Suppose m*t - 97 = i, t + 4*i - 116 = -4*t. Solve -4*p = 16, 0*x + p + t = -5*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 4*z - 6*z. Is z at most as big as -4\/69?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34\/1561 + -1593917\/6244. Let q = 251 + f. Calculate the common denominator of q and -109\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0444 + -9.0444. Which is the third smallest value? (a) m (b) 3\/5 (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -261 - -255 - (1 + -14).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -112*r**2 - 1428*r + 25151. Let a(d) = 39*d**2 + 475*d - 8385. Let u(y) = 17*a(y) + 6*w(y). Find the first derivative of u(t) wrt t.\nAnswer: -18*t - 493","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ra when two letters picked without replacement from rtatttr.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.010349 to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 68\/6)*7164\/(-2786)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5386148 smaller than -5386157?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*m + 151 = -25 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/4)*g**(-3)*g)**(-6\/7) assuming g is positive.\nAnswer: g**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 35973196331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -221022220211 + -1?\nAnswer: -221022220212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 3. Suppose -j = -4*g + 15. What is the smallest common multiple of 207\/(-54) + (-16434)\/(-1188) and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2238 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3*y = -2*m + 12, 0 = -5*m - 2*y + 42. What is the units digit of (100\/m)\/((-1)\/(-2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3014 or 3016?\nAnswer: 3016","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -39751 times 0.17421\nAnswer: -6925.02171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15622\/27 in 0, -47\/4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1367*z**3 - 16*z**2 + 481 - 1368*z**3 - 465 in the form w*z + u*z**2 + m*z**3 + l and give l.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -2. Suppose -2*z - 1 = m - 0, -3*m - 15 = u. Let s be -2*1*(-6)\/(24\/(-10)). Put 1, z, s in ascending order.\nAnswer: s, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-45))\/(112\/140)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -4*c + 4*b, 0 = 2*c + 3*b + 32 - 90. What is the remainder when 45 is divided by c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208*t - 40314 + 54874 = 0 for t.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1 + (sqrt(245) - (4 + -2*sqrt(245))))**2.\nAnswer: -168*sqrt(5) + 2221","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 10334 = -3211. What is the second derivative of 5*p - u*p**4 - 10 + 3 + 2745*p**4 wrt p?\nAnswer: 432*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -3*q + 7. Let g be (16\/(-12))\/(3\/(q\/(-4))). What is the units digit of 136 - (10\/20)\/(1\/g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of -2*d**5\/25 + d**4\/2 - 6*d**3\/5 + 7*d**2\/5 - 4*d\/5 - 208. Solve a(l) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of 2*x**3\/15 - 3. Factor h(r).\nAnswer: 2*r**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3436 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 349181771 to the nearest integer?\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 499*p**2 - 2*p - 2. Let o(i) = 1236*i**2. Determine d(o(v)).\nAnswer: 762320304*v**4 - 2472*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/3, 4\/7, -2830116, 1?\nAnswer: -2830116","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2083140 rounded to the nearest 100000?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 - 11*p - 18. Let s be 55 + (-3 - (-4)\/1). Let n = -20 + s. Calculate the lowest common multiple of u(-6) and n.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-6)\/2 + -92*5\/(-20) and 22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express n + 122*n**2 - 32*n**4 - 124*n**2 + 0*n - 1 in the form z*n**2 + h*n + s*n**3 + x*n**4 + b and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-1 - -5) - (20 + -11 + 13)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -11, 5\/6, 2, -5?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.08 (b) -3 (c) 479 (d) -0.3 (e) 5 (f) -0.1 (g) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5111, -5113, -5115, -5117, -5119?\nAnswer: -5121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -55079434+1122875\nAnswer: -53956559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 16533924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110204 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i + 5 = -5. Let x be i\/(-13)*(7 + -9). Let n(z) = -z**2 - 6*z + 1. Let p be n(-6). Which is the second biggest value? (a) p (b) x (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29.5 - 29.7. Sort 3, f, 0.14 in increasing order.\nAnswer: f, 0.14, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 12:11 AM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3*z**2 + 3*z - 3. Let v be d(-3). Let x be (-12)\/(-20) + (-840009)\/v. Round x to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1390 by 278.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 7*v**3 + 11*v**2 + 5*v - 5. Suppose 6 = 13*z - 11*z. Let y(f) = 4*f**3 + 6*f**2 + 3*f - 3. Give z*g(d) - 5*y(d).\nAnswer: d**3 + 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (14*a**3 - 11825*a - 2 + 0 + 11972*a)*(-2*a + 4*a + 0*a) as t*a + u*a**3 + r*a**4 + h*a**2 + z and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 - 39*s + 199. Calculate d(30).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -4*l**3 - 50*l**2 - 145*l + 10. What is o(-8)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**3 - 6*n + 24*n**2 - 35*n - 64*n**2 - 23*n.\nAnswer: -4*n*(n + 2)*(n + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/8 and (-11)\/40 + -2 + -3 + 3.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**3 - 2*x**3 - 2*x**3)*(-2 - 4 - 4)*(3 - 3 - 1).\nAnswer: -10*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 = 3*y, -2*y + 144 - 100 = 4*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33 and 26983?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 2 - 10. Let t = -9 + h. Let p(m) = -7*m**2 - m**3 + 0*m + 2*m + 15 - 7. What is p(t)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.6 and 122215?\nAnswer: 122213.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-m**2 + 4*m**2 - 5*m**2)*(-6*m**2 + 7*m**2 + 3*m**2) - m**4 - 2*m**2 + 2*m**2 + m**4 + m**4 - m**4)*(2 - 1 - 2).\nAnswer: 8*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3508 is divided by 114?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 5.18381 years?\nAnswer: 0.518381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 199 - 196. Solve j = 3*t, 2*g + t + 7 = 6*t for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k + k + 2*k)*(-1 - k + 1) + (3 + 1 - 1)*(0*k**2 - 4*k**2 + 2*k**2) - 99*k**2 + 8*k**2 + 66*k**2 - 9*k.\nAnswer: -29*k**2 - 9*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -4, -3, 3, 685 in increasing order.\nAnswer: -4, -3, 0, 1, 3, 685","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 5*x - 2245, 25*m + 3*x - 1125 = 23*m. What is the remainder when m is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130) + sqrt(130)*-1*-3 - sqrt(130))\/sqrt(10).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in centuries?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 395 a factor of 1916674475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a tonne in kilograms?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.09094 - -0.00906. Sort j, -202\/11, 3.\nAnswer: -202\/11, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 220329221?\nAnswer: 7, 109, 288767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (42\/(-9) + 4)*-3. What is the third derivative of 4*b**2 - x*b**2 - 9*b**4 + b**2 wrt b?\nAnswer: -216*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + l - 2*l)*(16 + 415 + 291 - 2*l**2).\nAnswer: 4*l**3 - 1444*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -374, -7, 346, 679, 986, 1261, 1498, 1691?\n\"Answer: -s**3 - s**2 + 377*s - 749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 195 = 711. Let x = d - -8083\/47. Let j = -55\/376 - x. Calculate the common denominator of 29\/14 and j.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17836420 is divided by 729?\nAnswer: 706","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + -83. Calculate the common denominator of 25\/40*p\/11 and -19\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 377965 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lllp when four letters picked without replacement from llllpppplplll.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oowg when four letters picked without replacement from {d: 1, w: 2, g: 1, o: 2}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55, 52, 49, 46, 43, 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 7 + 3. Let m be -1 + (-9)\/21 - u. Is 2 > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3474, -7155, -10832, -14505?\n\"Answer: 2*j**2 - 3687*j + 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2010)\/300)\/67)\/(3\/(-30)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of 1\/12*a**4 - 1\/20*a**5 + 0 + 1\/3*a**3 - 1\/2*a**2 - a. What is t(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*a + a + 3*a + (a + a - a)*(-2 + 3 + 1) - 5 - 5*a + 5 + (5 - 5 + 2*a)*(-2 + 0 + 1).\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 5 - o**3 - 4 + o - 2. Let d(q) be the second derivative of q**5\/20 + q**4\/12 + q**3\/3 - q**2\/2 + q - 7851. Give -d(k) + 2*n(k).\nAnswer: -3*k**3 - k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17.5 + -14. Let k = y - -31. What is the biggest value in k, 4, 0, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 534208463 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28069\/3742 + -2\/1871. Determine d so that 3\/2*d**3 - 3 - 6*d**2 + t*d = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*m + 272*m = 71*m + 7164427. List the prime factors of m.\nAnswer: 26437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28875*c**5 - 7*c - 1975.\nAnswer: -577500*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 482 + -485. Does 27 divide 2 + 2 - (-209 + 0 + c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = l, -4*l - 3*j = -4*j. Suppose l = 5*k - 5*x + x - 75, x - 6 = -k. Is k even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1*2\/(-12))\/(4\/16)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 380 = -p + 2*j, 4*p + j - 1513 = 0. Let s = -373 + p. Solve 3*n - 2 = -u - 0, 0 = -s*n - 4*u + 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t = 892 - 4224. Calculate the remainder when t is divided by 60.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6803428388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -394542*v*w**2 + 136*v - 498*w wrt w.\nAnswer: -789084*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 - 1. Let c(f) = -6*f**2 - 3. Let t be 2\/8 - 105\/(-140). Calculate t*c(l) - 5*q(l).\nAnswer: -l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3676 times -0.03\nAnswer: -110.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of b**5\/60 + 5*b**3\/6 - 3*b**2. Suppose 2*d = -d + 6. Suppose -3*v = d*v. Give o(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -21, 0, -7, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(1\/3))**(-47)\/((h\/(h\/(h\/(h*h\/(h*h\/(h\/h**(-1)))))))\/h)**(3\/2) assuming h is positive.\nAnswer: h**(-179\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*c**4*o**2 + 5*c*o**2 - c + 34*o**2 + 10*o with respect to c.\nAnswer: -32*c**3*o**2 + 5*o**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-390)\/936)\/(33\/242))\/((-5)\/(-3))?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000104381 rounded to six decimal places?\nAnswer: -0.000104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76250714.\nAnswer: 2, 2579, 14783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2.637738ns?\nAnswer: 0.000000002637738","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/12)\/5*4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7, -0.05602, -6, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4803 is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5\/6 (b) 3 (c) -5 (d) -151187\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70\/21*(-42)\/(-28).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 907, 7195, 24263, 57499, 112291?\nAnswer: 194027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -53.5 and -0.02.\nAnswer: -53.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tnk. Give prob of picking 1 n and 1 k.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 112*o + 690. Let r(x) = -19*x. Determine u(r(f)).\nAnswer: -2128*f + 690","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -452\/3 - -150. Sort 0.3, w, -1\/3, -1\/7 in decreasing order.\nAnswer: 0.3, -1\/7, -1\/3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -43.1 + -12.9. Let f = z - -56.5. What is the second biggest value in 2\/25, f, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ucc when three letters picked without replacement from {c: 6, y: 1, h: 4, b: 3, u: 2, z: 3}.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 336034597?\nAnswer: 17, 1531, 12911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - -2)*6580\/10. Calculate the highest common factor of g and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000022266 to seven dps.\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 15 = 15. Let z(v) = v**3 - 5*v**2 - 3*v + 9. Let l be z(5). Let t = -6 - l. Solve -k*x = -t*j + 2*j - 14, -3*x + 2 = -2*j for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4141122.\nAnswer: 2, 3, 690187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21058.6 + 21058.6096181. What is a rounded to 3 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1706\/11 in -1357, -0.5, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) + sqrt(143)*-5 + sqrt(143) - sqrt(143) - sqrt(143) - sqrt(143))*-4*-4*-3)\/((sqrt(132) - -4*1*sqrt(132))\/(sqrt(1200)*-2)).\nAnswer: -1152*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*u + 2*u + 36 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003705765465 rounded to 7 dps?\nAnswer: -0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 14, 5, -4, 103, -1 in increasing order.\nAnswer: -4, -1, 5, 14, 19, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1e (base 16) to base 9\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, h: 2, i: 2}. Give prob of sequence hihu.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 259025120513 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -1.02. Let o = 1.02 - j. Let x = -309\/4 + 78. Which is the nearest to x? (a) 4\/5 (b) o (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 24 + 0*p**3 - 6 - p**3 + 18*p**2 - 17*p + 0*p**3. Calculate the remainder when 29 is divided by c(17).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111128 divided by -1916?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 671?\nAnswer: 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/t**0)**(5\/2)\/(t**(-1))**(-38))\/((t*t**(2\/7)*t\/t**(-4))\/(t**(-4)*t\/t**(-3))) assuming t is positive.\nAnswer: t**(-275\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u + 9. Let a be m(5). Let x(j) = 4*j - j - 5*j + a*j. Let v(w) = -2*w. What is v(x(s))?\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hx when two letters picked without replacement from {a: 4, z: 1, h: 2, g: 5, x: 2}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 913770 and 121836.\nAnswer: 1827540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -37982481 at least -37982476?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 134 = 5*b, -2*b + 20 + 44 = u. Let i be -3*5\/(b\/(-4)). Solve 2*d**3 + d + 3*d**2 + i - 4 - d**4 - 4*d**3 + d**3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 76\/5 of a century?\nAnswer: 1520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/826 and 61\/898590?\nAnswer: 53016810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-260 + 155 + 159)*(0*u + 0*u + u) to s*u + y and give s.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13959, -63450, -145935, -261414, -409887, -591354?\nAnswer: -805815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -17 + 0*b - 11 + 19*b + 18 + 10*b. Give u(3).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 460 divided by 20\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - 2*p**2 - 4*p + 18947. Is q(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3635 is divided by 154?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -6 + 0*l**2 - 8\/3*l**3 + 0*l. Let t(q) be the first derivative of -2*q**3\/3 - 1. Calculate t(r(d)).\nAnswer: -128*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3409 at most as big as -0.129?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -69\/5 or -14?\nAnswer: -69\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a microgram in nanograms?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38386*n + 4*n**2 - 2*n**2 - 38386*n.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of c**7\/105 - c**5\/12 + 10*c**2. Find the third derivative of y(o) wrt o.\nAnswer: 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002328699 rounded to 6 decimal places?\nAnswer: 0.002329","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= 1\/60969?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddddd. Give prob of sequence ddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k + 2*k + 24 - 2*k + 2*k. Let x be y(-17). Let j = x - -50. Calculate the smallest common multiple of 1 and j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -280, 5, 1864 in descending order.\nAnswer: 1864, 5, -280","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*d**4 - 2*d + 6*d**4 - d**3 + d to the form f*d**4 + b*d + h + m*d**3 + z*d**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 47760 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9309 and 8025.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2457.73 decades in millennia?\nAnswer: 24.5773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26915750 and 76406.\nAnswer: 296073250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 71090531 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.5 - 2.5. Let f = -250 + 249. Which is the nearest to -0.2? (a) f (b) 0.3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18628609?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 478*i - 556*i - 10 + 12.\nAnswer: -78*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 4359?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -76?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -40*a**3 - 3*a**2 - a - 4. Let v be j(-2). What is the tens digit of 36\/v - 31276\/(-34)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2426610 - -2?\nAnswer: 2426612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - 10*a + 23. Calculate i(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18108348?\nAnswer: 2, 3, 47, 97, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5071333 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*s + 100*s - 474238 = 0. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 548.5 - 549. Let l = 0.3 + 3.7. What is the nearest to -1\/2 in w, 3, l?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + (0 + 1 - -3). Let f be 2\/(26\/40 - 4\/16). Which is greater: f or q?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*h**4 + 1 - 102*h**4 + 3187*h**2 - 1 - 3311*h**2 wrt h.\nAnswer: -2640*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1267 - -1914. Let n = y + 468. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1179 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.5, -2, 439, -4 in decreasing order.\nAnswer: 439, 1, 0.5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of -r**8\/336 - 4*r**7\/105 + r**6\/4 - 8*r**5\/15 + 11*r**4\/24 - 597*r**2. Factor c(a).\nAnswer: -a*(a - 1)**3*(a + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 784\/882 + 416\/18.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/1*-2*-2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -397459713181 and 1?\nAnswer: 397459713182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 9847647, 2\/7 in ascending order.\nAnswer: 2\/7, 7, 9847647","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -560 + 555. Which is the nearest to 0.1? (a) 2\/3 (b) 0.16 (c) 2\/7 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = i, 0 = 6*j + 23*i + 1274 - 1383 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 - -23. Suppose 5*t + 4*g - 365 = 775, -n*g = -4*t + 938. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13265 is divided by 265.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 3*x - 12. Suppose -168 = -3*f + 7*f - 4*s, -x*f - 119 = 4*s. Let r = 45 + f. Calculate the greatest common divisor of 36 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 385 + 56 = h, -3*h + 4*u + 1243 = 0. What is the greatest common factor of 1088 and h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c**2 + 4 + 3*c**2 - 13380*c - 3*c**2 + 13381*c.\nAnswer: 2*c**2 + c + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 17 = 31*p - 29*p, 25 = 4*p - l. Calculate the remainder when 37*-1*2\/(-2) is divided by p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 = 2*n + 45. Let z = n - -94. Is 44\/3*z\/20 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-39)\/((-12)\/184*2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -556*l**3 - 110*l + 6371*l**3 + 108*l - 222*l**3.\nAnswer: 5593*l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -11\/5, -44, -5, 78.69 in decreasing order.\nAnswer: 78.69, -11\/5, -5, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 6*o - 4*n, o + 46*n - 41*n - 6 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -275.4? (a) -4\/5 (b) -1\/569 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-2\/7)*l**(-3\/5)*l*(l*l*l**(-2\/9))\/l*l*l*l*l\/l**(-3)*l assuming l is positive.\nAnswer: l**(2801\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 5*c - 4*d - 526, 2*c - d - 208 = 0. Calculate the greatest common factor of c and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35 + -32 + 63 + -4\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 h when four letters picked without replacement from ahnnnanannnaannnnhnn.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36082 + 63631. What is the ten thousands digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -0*y - y + 5*q, 2*y = -2*q - 2. Suppose 3*w - y = -8. Let s(g) = -g**3 + 6*g**2 - 3. Let n be s(6). Which is smaller: n or w?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1856428302 to the nearest 1000000.\nAnswer: -1856000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -370164 divided by -3.\nAnswer: 123388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1662*h**2 + 85 - 3 + 2*h + 0*h.\nAnswer: 1662*h**2 + 2*h + 82","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/21 (b) 0.03 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -434 = -2*y - 5*j, 4*j + 562 = 4*y - 278. Let v = -358 + y. Let r = v + 269. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (31738\/(-4534))\/(-5*-1*1)?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1858 is divided by 445.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 + 9*k - 5. Let b be x(8). Let n = -0.4 - 0. Let r = -0.3 - n. Put r, -0.3, b in ascending order.\nAnswer: -0.3, r, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - (-1 - -1))*-1. Suppose 20 = 4*o + o, t = 2*s - 2*o + 6. Is s\/(3*2\/186) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -10*c**2 - 258*c - 2391. What is j(-9)?\nAnswer: -879","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 (base 10) in base 4?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-140) + (-73360)\/(-2450))*3\/(-5)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4063 - -10202. Does 20 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 2302*d + 25*d**2 + 2302*d.\nAnswer: 25*d**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 159415?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/(-42))\/((-10)\/(-9))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-240)\/45)\/2*2\/(-4)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 500*g**2 - 12608992*g - 201744.\nAnswer: 4*(g - 25218)*(125*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -811b + 55dc?\nAnswer: -291d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 2:43 AM?\nAnswer: 3:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -333 + 330. Let z = -742 - -19295\/26. Which is the third biggest value? (a) 2 (b) q (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3 + 124*k**2 + 1390*k + 3600.\nAnswer: -2*(k - 72)*(k + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = n - 0 - 11. Solve -4*h - n = -28 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/3)*c**(1\/2))**(12\/5))**(-24) assuming c is positive.\nAnswer: c**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 83517443 and 335?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -2\/13, 9, 1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -177838 (base 13) to base 2\nAnswer: -10001111100011011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12 - -2)*(-4)\/10. Suppose g*a = -0*a + 12. Suppose -a*p + 16 = 4. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/((((-12)\/9)\/4)\/((-278)\/834))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1.482362 litres?\nAnswer: 1482.362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 - -100100?\nAnswer: 101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -17b187 (base 14) in base 13?\nAnswer: -234109","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -960158, -960104, -960020, -959912, -959786?\nAnswer: -959648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 16*a**2 + 56*a - 58. Calculate g(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1\/5, 4\/5, -2\/5, -6, -53 in ascending order.\nAnswer: -53, -6, -2\/5, -1\/5, 4\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 975*l - 31. Let c be t(5). Let q = 2375 + c. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/38? (a) 0.4 (b) -3.4 (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17109422*k**3 + 4969947*k**2 wrt k?\nAnswer: 102656532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2326964955?\nAnswer: 3, 5, 7, 22161571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 11, 3\/4, -0.1, -1.8, 0.2?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -3*p + 1. Let u = -59 - -63. Let s(k) = 8*k - 3. Suppose x + 5*h = -111, 3*h + 2*h = 0. Let j = x - -122. What is j*w(l) + u*s(l)?\nAnswer: -l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9418*o**2 + 4632*o**2 - 12541*o**2 + 2887*o**2.\nAnswer: -14440*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/10030 and -29\/227.\nAnswer: 2276810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 20*r - 13*r - 5*r + 13*r**3.\nAnswer: 13*r**3 + 2*r + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50331 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 + 3 + 3 - 1 - 7*d. What is the tens digit of l(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 45855.0022937 - 45855. What is d rounded to 4 decimal places?\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 79926 and 8274.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 33 (b) -3\/4 (c) -2\/5 (d) -0.5 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-92)\/(-5)*822\/(-12). Let x = t + 1260. Let o = 0 + -1. What is the nearest to -1 in 2\/17, x, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tpt when three letters picked without replacement from tpppt.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -28, -24, -5, -2 in decreasing order.\nAnswer: 5, -2, -5, -24, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-3)*(-117)\/(-78)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-6)*8*2. Let q = -5 - h. Suppose 0*d = -q*d - 3. Put -4, d, 2 in decreasing order.\nAnswer: 2, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 40*h**2 + 1279*h - 34. Calculate w(-32).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bblwppzkzlllzpw. Give prob of sequence bplz.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-80)\/15)\/(-8)*2\/4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 6 + -14 + 8\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(76) - 2*sqrt(76))*6)\/((-1*sqrt(1200) - sqrt(12))\/sqrt(3)) + -3.\nAnswer: -3 + 12*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2108?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 246 + 122 = 0. Suppose 13*l = -g + 28. Let a(n) = n**2 - 3*n - 7. What is the units digit of a(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*y**3 + 1 + 20 - 5*y**3 + 3*y**3 to the form x + n*y**2 + w*y**3 + o*y and give x.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28983 + 28983 + 10429*h**2 - 26*h**3 - 10429*h**2 + 21*h**3.\nAnswer: -5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 429550 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a tonne in kilograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -42323\/6 (b) 778 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/3 + 2\/3. Let z(p) = 32 + 36 - 69 + p**4. Let v(k) = -16*k**4 + 17. Let o(y) = u*v(y) + 6*z(y). What is the first derivative of o(b) wrt b?\nAnswer: -40*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.3 (b) 2 (c) 63940 (d) 1 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - 110?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97 + 34 = 29*i + 15. Solve -y - 2 = i for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -7) + 9 - (-1 + 6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 106\/333 - 20\/37. Which is the third biggest value? (a) -2 (b) -103 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-1)*12\/216*9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7781, 15554, 23327, 31100?\nAnswer: 38873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/7 - 162437070*m\/7 - 23205296.\nAnswer: 2*(m - 81218536)*(m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -36 - -12 - (13 - -5 - 56)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 41387963 + -0.05?\nAnswer: 41387962.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2013, -3\/5, -4, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*g - 3*g. Suppose -g*f = b + 5 - 718, b = 4*f - 1441. Suppose -f = -4*j + 181. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/5309 + -5301\/21236. Which is the nearest to o? (a) 2\/225 (b) 12 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + -7 - (0 - 2). Let p = j - -13. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (57\/((-171)\/5))\/15?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114516855.\nAnswer: 3, 5, 848273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2321?\nAnswer: 11, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 37744103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4977 or 4981?\nAnswer: 4977","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 52 - 56. Let o(h) = 11*h**3 - 22*h**2 + 2*h - 2. Let f(l) = -l**3 - l + 1. Let r(v) = d*f(v) - 2*o(v). Find the third derivative of r(n) wrt n.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8 - 2c0fe?\nAnswer: -2c106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 h, and 1 c when three letters picked without replacement from {w: 2, r: 2, h: 1, c: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 104 + 6 - (2 - 4). Let s = g - 79. List the prime factors of s.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 24, -0.5, 4, -3\/4, 76?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3\/8, -2, -237?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - 1374 = -3*k. Let p = k + 455. Let w(u) = -4 + 0*u**3 + 0*u + u - u**2 - u**3. Determine w(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -457\/7 - -65. What is the fourth biggest value in -0.6, z, 1\/5, -1\/2?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14631?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.12? (a) -1\/5 (b) -4 (c) -13764 (d) 0.16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -595*u + 28. Does 43 divide b(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.58 and -0.5717.\nAnswer: 2.046686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.2 - -0.5. Let v = -26.7 - r. Let w = v + 26.0000145. What is w rounded to 6 decimal places?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m - 30 = -23 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-1734)\/153)\/(52\/78)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) 8 (b) 0 (c) -0.1 (d) -36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11059 + -11059.089872. Let w = 0.09 + v. What is w rounded to five dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 236516 to the nearest integer?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 46? (a) -3 (b) -2\/5 (c) -5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*i**2 + 0*i**3 - 19*i**2 + 3*i**3 + 12*i**2.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-8475)\/(-11300))\/(1 - (-25)\/(-16)) + -5\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 0.05, 4\/3, -2\/3, -8, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**2 - q**2 + q**2)*(q**2 + 4*q - 4*q) + 2*q**4 + 0*q**4 - 6*q**4.\nAnswer: -q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p. Let s(r) = -441*r. Let j(z) = -11*z. Let i(h) = -81*j(h) + 2*s(h). Give a(i(c)).\nAnswer: 18*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 + 7*s - 7. Suppose -2*o = o - 3, -5*p + 2*o + 33 = 0. Calculate r(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (k - 4*k + k)*(4*k**2 - 2*k**2 - 3*k**2) - 502037*k**3 + 1004058*k**3 - 502005*k**3 + 65*k**2 to t*k + a*k**3 + h*k**2 + o and give a.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4*n + 672 = 0. Suppose 2*x - n = -2*x. Let d = x + -29. Calculate the greatest common factor of d and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 4*y - 8. Let w be -3 + 1 + 19 + (-16 - 6). Let t(o) = 5*o - 8. Determine w*t(r) + 6*d(r).\nAnswer: -r - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -12\/227, 2\/5, 5 in decreasing order.\nAnswer: 5, 2\/5, -12\/227, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 11 = -61. Let m = -22 - b. Put m, 4, -3 in decreasing order.\nAnswer: 4, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = s + 10, -3*s + 2*q = -0*q - 14. Let k(v) = -2*v**2 - v**2 + 2 + 2*v**s. Let c be k(-2). Sort 2, c, 1.\nAnswer: c, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -6*f. Suppose -d - 2*d + 9 = f. Suppose 0 = w - 2*v - 3*v - 1, d*v - 5 = -5*w. Calculate the remainder when 1 is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmggggmgwmmlmmgmgm. What is prob of picking 3 g and 1 l?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 387*r**2 + 143*r wrt r.\nAnswer: 774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -911 (base 13) in base 12?\nAnswer: -a7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-339)\/((-1088529)\/(-115843)) - (-37 + 1).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oogbopopllbool. Give prob of sequence blb.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 5*g**2 - 6*g - 9. Suppose 0 = 4*h - 2*z + 22, -2*h + 10 - 27 = 5*z. Give n(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 7032?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4264 and 1178?\nAnswer: 1177.5736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/8*w**5 + 0 - 1\/8*w**4 + 0*w + 0*w**2 + 0*w**3.\nAnswer: w**4*(w - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in -767\/6, -49, 0.4, 5, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of y**5\/60 - 5*y**4\/12 + y**3\/2 - 6*y**2. Suppose -a = 3*x - 12, x = 3*a - 0*x - 6. Suppose c - 24 = -a*c. What is t(c)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - -42) + -9 + 23.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2 + sqrt(2057)) + sqrt(2057)*-2 + sqrt(2057) + -4 + (1 + sqrt(2057) + -1 - 3*(sqrt(2057) - ((-1*sqrt(2057))**2 - sqrt(2057)))) + -1.\nAnswer: -55*sqrt(17) + 6164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 209*f + 2 = 208*f, -5*f + 5 = 5*r. Let h = 14 + -5. Calculate the remainder when h is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3390 + z + 4*z**2 - 3*z - 3348 + (0*z + 2*z + 0*z)*(-17*z - 11 + 11).\nAnswer: -30*z**2 - 2*z + 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11877738 to the power of 1\/4, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3890 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1634622.\nAnswer: 2, 3, 11, 24767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30.7565 or -2\/279?\nAnswer: -30.7565","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-14)\/(-21)*(-10 + 85). Solve 143*h = 153*h - w for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 y when three letters picked without replacement from yxygy?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9144591*z**4 - 138652*z**2 + 19*z wrt z?\nAnswer: 219470184*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37684 and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/((-9)\/5 + 2). Let g be 4\/(-10) - 62\/q. Let n = 123 + -87. What is the highest common factor of n and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -4*f + 4*w + 64, 3*w = 4*f - 191. Suppose m + f = 5*m. Is m a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 - (-22 - -133*1075\/2975).\nAnswer: 16\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 8255, 16512, 24765, 33014, 41259?\n\"Answer: -2*i**2 + 8263*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 4*u = -12. Let w = u - -4. Is 0 smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -1. Suppose 0*i + 2 = i. Suppose 0 = -d + l - 4*l, -3*l + 9 = -i*d. Sort -4, z, d.\nAnswer: -4, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -180.01 * -6.\nAnswer: 1080.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -5 + (1*sqrt(117)*-3)\/((sqrt(9) - (sqrt(9)*-2 + sqrt(9)))*-3).\nAnswer: -2 + sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 6*z**2 + 12*z**2 - 8*z**2. Let m(d) be the first derivative of d**2 - 171. Give m(q(r)).\nAnswer: 20*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 d, 1 i, and 1 x when four letters picked without replacement from {x: 7, i: 5, c: 4, d: 2}?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 10:38 AM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f**(-32)*f)*f**(-11)*f**(-15)\/(f\/(f**(-14\/3)\/f*f)))**(2\/19) assuming f is positive.\nAnswer: f**(-4\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 118, 256, 394, 532, 670, 808?\nAnswer: 946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3006792814?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39 + 9*y - 39 to the form u + f*y and give f.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-11)\/(-4) - 2\/(-8). Suppose n*d = 4*d - 9. Let g(b) = -2*b**3 + 77*b**2 - 38*b + 63. Let v be g(38). What is the greatest common factor of v and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6323 + 6181 = -38*w - 413*w - 70*w for w.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10597680 a multiple of 180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**2 - 3*s**3 - 13*s**3 - 19*s**3.\nAnswer: -35*s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -0.06 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 3*i = 0, -5*s + 7*i = 3*i. Suppose 0 = 3*o + b - 3*b - 61, s = 4*o - 3*b - 83. Find the second derivative of o*w - 46*w + 21*w - 29*w**2 wrt w.\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 17 - 5. Sort -5, -4, m in decreasing order.\nAnswer: m, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 478812226?\nAnswer: 2, 83, 2884411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**2 - 446433 + 446433.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 492129 - 121462 = 11*b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2757*k - 31295. Calculate w(13).\nAnswer: 4546","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6511123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - 13*k**2 + 18*k - 6. Let b be p(-16). Suppose 3*t - b = 3*a, -t + 3*a = -44 - 104. What are the prime factors of t?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10470766363 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -829*z + 1605 = -4174 - 7470 - 9134 for z.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 57195 divided by 3?\nAnswer: 19065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2838 = 2*d - 31*d + 23*d. Which is smaller: -8060\/17 or d?\nAnswer: -8060\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -1621316?\nAnswer: 1621320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/(-40) + 3*(-8)\/(-40).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 413 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -81*h**3*v + 2*h**2 - 2*h*v - h - 20 wrt h?\nAnswer: -486*h*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-5)*q*q*q\/q**(-9)*q*(q\/(q*q*q*q**(3\/10)\/q*q*q))**24 assuming q is positive.\nAnswer: q**(-356\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*h - 5 = s - 25*h, -25 = -5*h. What are the prime factors of 827 + (-14)\/s + (-20)\/(-50)?\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 4*r + 11 = 0, -15*c - 4*r + 5 = -16*c - 2*r for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 4*t - 2)*(6*t - 4*t + 2*t + (-4 - 3 + 5)*(2 - 2 - 2*t)).\nAnswer: -32*t**2 + 16*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r = 45 + 51. Suppose -3773 = -r*d + d. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -y*z**3 - 33*y*z**2 + 43*y*z + 32*y - 923994*z**3 + 2 wrt z.\nAnswer: -6*y - 5543964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (238\/306)\/((-21)\/(-6)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 87299 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 1, 7\/5631, 3, 5 in decreasing order.\nAnswer: 7, 5, 3, 1, 7\/5631","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1648*n**3 - 1648*n**3 - 813*n**4 + (-n - 4*n + 4*n)*(2*n**3 + 0*n**3 - n**3).\nAnswer: -814*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 600*a + 20 - 3 - 13 - 2.\nAnswer: 600*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 927169255 to the nearest integer?\nAnswer: 30449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1537692*c**4 + 2*c + 171543 wrt c.\nAnswer: -18452304*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27141?\nAnswer: 3, 83, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**3 + 108*n**2 - 567*n - 58. Give t(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*g**2 - 5*g**2 + 27012*g**3 + 30*g**2.\nAnswer: 27012*g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 6*t**2 - 55*t - 148. Is q(32) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.59*-5086\nAnswer: 3000.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -162\/85, 1\/2?\nAnswer: -162\/85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + j = -16, 7*v + 12 = 5*v - 2*j for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1122 + 10?\nAnswer: 1202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 + 6*l**2 + 3*l - 5. Let z be p(-5). Let d = 9 - z. Let k(w) = w - 7*w**2 - 73 + w**3 + 2*w**2 + 78. Calculate k(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*0.1748.\nAnswer: -0.01748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19038 by -2.\nAnswer: -9519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 17\/1 - (-1 + 4). Let a = 101 - x. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19890 = 174*a - 120*a - 192708. Is a a multiple of 197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -697, -701, -707, -715, -725, -737?\n\"Answer: -w**2 - w - 695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of -4*a**3\/3 - 2464*a**2\/3 - 1517824*a\/9 + 2857. Factor q(y).\nAnswer: -4*(3*y + 616)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*b, -5*b + b + 44 = -2*u. Let i = -1743\/2 + 903. Find the common denominator of -3 + 0 - (-50)\/u and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 2*x + 1 = 0, 2*x = j + 1 - 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - y**2 + y + 2. Let d(a) = 77*a**3 - 4*a**2 + 2*a + 4. Calculate d(g) - 2*o(g).\nAnswer: 75*g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 41734 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -37172*x**2 - 2*x - 2806?\nAnswer: -74344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 36 = 2*j, 3546*j - 3542*j - 80 = -2*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28145351 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d + 9*d + 66*d**2 - 12*d.\nAnswer: 66*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 179071521?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 19, 0.2, -186\/7, 0.5, -3, 369?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-31 + (-426)\/(-14))*5\/2.\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4*a - 69645 = 0, -10*x + 5*x + 348191 = -3*a. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(2057)*-2)**2.\nAnswer: 8228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 4*a**2 + 8*a + 8. What is the remainder when x(-4) is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 770437.\nAnswer: 770437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bssdbsbssd. What is prob of picking 1 b, 1 d, and 2 s?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 602377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/l**5*l\/l**6)\/(l**(-2\/3))**19 assuming l is positive.\nAnswer: l**(14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2323667 (base 8) to base 10\nAnswer: 632759","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 PM and 6:07 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + 5 + -10 + (49141 - -2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 7*k. Let j(w) be the third derivative of -w**7\/5040 + 23*w**5\/30 + 6*w**2 - 14*w. Let p(a) be the third derivative of j(a). Calculate p(u(x)).\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 9. Suppose -108 = -7*v - z*v. Differentiate -13 + v*r**2 + 3 - 34*r**2 with respect to r.\nAnswer: -44*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(6\/5)\/(u\/u**13) assuming u is positive.\nAnswer: u**(66\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p**4\/7 + 120*p**3\/7 - 20896*p**2\/7 - 42240*p\/7 = 0 for p.\nAnswer: -88, -2, 0, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 AM and 4:08 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3282 bigger than 3281?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55244, -55253, -55262, -55271?\nAnswer: -55280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i + 0*i - 3 - 3 + 0*i to f*i + q and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v + 6*v + 5*n = -20, 3*v - 6 = -3*n for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((((h*h**(-11))\/h)\/h)\/h))\/h*h**15)\/(h**(-18)\/(h\/(h**(1\/12)\/h))) assuming h is positive.\nAnswer: h**(575\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36227794?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -608 divided by -111?\nAnswer: 608\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u - 6. Let o be x(4). Suppose -o*j = -0 - 16. Suppose t - 1 = -t + p, -4*p + j = -2*t. Put -2, t, -5 in decreasing order.\nAnswer: t, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h + 14. Let t be u(12). Suppose 0*x - 4*x = t*d - 768, 962 = 5*x + 3*d. Suppose -3*l = 4*r - 155, -2*r - r = -4*l + x. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = k, -4*m - 8 = -m + 4*k. Let l be ((-6)\/4)\/(45\/(-20)). Suppose 2\/3*t - 2\/3*t**3 + 2\/3*t**2 + m - l*t**4 = 0. Calculate t.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*2*sqrt(104) - sqrt(104)) + (2*sqrt(104) - sqrt(104))*6)\/(3*-3*2*sqrt(1152)).\nAnswer: sqrt(13)\/216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2580, 2057, 1184, -39?\n\"Answer: -175*u**2 + 2*u + 2753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 254766237?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 + 16 = -7*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*d**2\/2 - 1605*d\/2 = 0. Calculate d.\nAnswer: 0, 321","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86389893 divided by 3.\nAnswer: 28796631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -163*k - 2119, 0 = 4*a + 4*k - 28412 + 28464 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1184682 and 732072.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5\/12, 1, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (39 - (75 - 17)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -7664*q + 7275. Give c(1).\nAnswer: -389","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vz when two letters picked without replacement from {v: 10, z: 2}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 5*j**5 - 973360*j**4 + 47352985030*j**3 + 1800857213200*j**2 - 1848209224875*j = 0.\nAnswer: -39, 0, 1, 97355","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/14*-6*82\/((-3280)\/(-168)).\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 26*b**2. Let y(m) = 6*m. Give i(y(f)).\nAnswer: 936*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one twentieth of a millennium?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 - (0 + 3 + -1). Let y = t - 10. Let b = y - -14. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 566337672 to the power of 1\/2, to the nearest integer?\nAnswer: 23798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 309, -4, 0, -48.\nAnswer: -48, -4, -1, 0, 309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of 2*o**3\/3 - 1. Let l(w) = 5 + 2*w + 1 - 6. What is y(l(q))?\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 618 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1440.483 and 48?\nAnswer: 1392.483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 - q - 7. Let m be d(0). Let r(t) = 9*t**2 + t - 3. Let s(k) = 30*k - 12*k + 13*k**2 - 17*k - 4. Give m*r(o) + 5*s(o).\nAnswer: 2*o**2 - 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-62 - -2)*2\/(-6)*3. Suppose 8*w - 4*w = -b. Let i(k) = -3*k + 10. What is the units digit of i(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -36 - (-1 + -11).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -979, -3763, -8395, -14869, -23179?\nAnswer: -33319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 551 divide 11116425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7576.366? (a) 5 (b) 0.1 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -6*w**3 + 3*w**2 + w - 3. Let c be t(-2). Let g = c + -2. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s. Let x(l) = -5*l - 4 - 10 + 15. Let y(u) = -2*b(u) - x(u). Determine y(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 + 2*z)*(-3 + z + 3) - 4*z**2 + 3*z**2 + 2*z**2)*(-11*z + 7*z + 1 - 3).\nAnswer: -12*z**3 - 6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 192, -69\/2, -2\/7, -4, -11, 5 in decreasing order.\nAnswer: 192, 5, -2\/7, -4, -11, -69\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 89*x = -94*x + 22, 0 = -2*m + 2*x - 16 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*r + 56 = -16*r. Let m(w) = 0*w + 0 - w - 2. Give m(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30851 - 30850.9. Let j be (3\/(-9))\/((-7)\/6). What is the nearest to a in 0.4, j, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 400 and 152?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 53937 and 448?\nAnswer: 53489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v**(-8)*v)\/v*v**(-2\/33))**(-5\/2) assuming v is positive.\nAnswer: v**(1165\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = y + d + 38, -2*d + 28 = -2*y. Let h = y - -21. Let i(z) = -h*z - z + 6*z. Let m(l) = 11*l**2. Determine i(m(f)).\nAnswer: 22*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -556*t**2 - 8 + 1186*t**2 - 629*t**2 + 10*t. Let g be ((-33)\/9)\/(1\/3). What is r(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 7) in base 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((1 + sqrt(112) - sqrt(7)) + (sqrt(7) - (-4 + sqrt(28)))) + (sqrt(7) + 2 + -3 - (-5*(-2*sqrt(7) + sqrt(7)))**2).\nAnswer: -206 - 11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 100 and 296820?\nAnswer: 1484100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/66)\/(((-32)\/(-40))\/((-6)\/5)).\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 217\nAnswer: -108.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, f: 7, n: 2}. Give prob of sequence yyf.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -78 + 85. Calculate the remainder when 25 is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 928 (b) -2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(6\/(-8))*(-120 + 122). Suppose 5*j - v*j = -4*f + 6132, -2*f = 2*j - 3080. Does 12 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(2\/2))\/((-25)\/25)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 - 0. Suppose 4636 = -19*a + 57*a. Let l = a + o. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + (-5)\/(-2 + -528)*8. Which is smaller: -1 or s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -4*c**4 + 988*c**3 - 48784*c**2 - 211200*c = 0.\nAnswer: -4, 0, 75, 176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 take away -0.797?\nAnswer: 0.697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36 + 542\/15. Sort 2\/5, k, 2 in ascending order.\nAnswer: k, 2\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 335, 317, 289, 245, 179?\n\"Answer: -l**3 + l**2 - 14*l + 349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -8663, -18041, -27417, -36791, -46163, -55533, -64901?\n\"Answer: y**2 - 9381*y + 717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23373 is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + -88 - (2 - 32\/4 - 3\/1)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - 226*f**2 - 663*f + 1333. What is x(-223)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 g when two letters picked without replacement from {c: 1, p: 2, e: 1, a: 1, g: 1, z: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -134.258, 1.27, -1 in descending order.\nAnswer: 1.27, -1, -134.258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 112\/(12 - 5) + -7. Suppose 82242 = o*s - 54171. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 5, -52324 in decreasing order.\nAnswer: 5, -6, -52324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(288)*-1 - sqrt(288) - -2*sqrt(288)*-2 - ((sqrt(288) + sqrt(288) + sqrt(288) + 0 - sqrt(288))*5 - 2*1*sqrt(288)))*-4)**2.\nAnswer: 10752*sqrt(2) + 903232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0306269 rounded to four dps?\nAnswer: 0.0306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3 + 2 - 3)*(1 - 5 + 3) - 4 + 3 - 2 + (2 - 4 - 2)*(-1 + 2 - 2))*(25 + 458*h - 7 - 457*h) as g*h + x and give x.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/4 + 992049*b\/4 - 496025\/2.\nAnswer: (b - 1)*(b + 992050)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-40) - (-2 - (-15)\/9)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -424, -1023, -1622, -2221?\n\"Answer: -599*i + 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -5\/6 (b) 0.2 (c) 0.812 (d) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 833 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-13)\/(325\/30)*(-40)\/6. What is the common denominator of 43\/7 and (372\/24)\/((90\/g)\/1)?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 16. Let o = 5.1 + d. Let v = 5\/7 + -3\/14. Which is the nearest to v? (a) o (b) 2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2660 and 33460.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*v**3 - 37*v**3 - 22078*v**2 + 66374*v**2 - 22217*v**2 - 22079*v**2.\nAnswer: -61*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of 5*h**4\/12 - h**3\/6 + 1291*h**2. Let x(g) = -3*g. Let z(b) = -3*b - 1. Let l be z(2). Calculate l*x(q) - 2*w(q).\nAnswer: q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -21265*h**4 - 10891.\nAnswer: -85060*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3960428081 to the nearest integer?\nAnswer: 62932","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1155 by -21.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 788172 - 1318172. Round f to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 276 and 207.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/5 (b) -0.8 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21.8309*-1.\nAnswer: -21.8309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 - 5)*(-2*b**2 + 11*b**2 + 6*b**2) to i + q*b**2 + y*b and give q.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(2057)*-1*-2 + -1*(5 + ((-5*sqrt(136))\/sqrt(8))**2).\nAnswer: -110*sqrt(17) - 430","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -34387006760 to the nearest one million.\nAnswer: -34387000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19710103, 19710100, 19710097, 19710094, 19710091?\nAnswer: 19710088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 4*s**2 - 6*s + 50. Let u be l(5). Which is the second biggest value? (a) -106 (b) u (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of -y**5\/60 + y**4\/24 - 2*y**3\/3 + 2*y**2. Let k(o) = 2*o**3 - 3*o**2 - 2*o + 3. Let t be k(2). Determine r(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45829 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 3*v + 682 = 0, 5*v = -0*h - 4*h + 516. Let t = 129 - h. Do t and -13\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 105*j + 14. Let r be g(-2). Let c = r - -411\/2. Do -3 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 960 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 h when three letters picked without replacement from {h: 3, v: 3, c: 1, n: 7}.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/13, -3, 1.8, 5?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/6080 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -10379706443+-0.5\nAnswer: -10379706443.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 - 219. Let p(f) = -90*f**2 + 1. What is r(p(y))?\nAnswer: -8100*y**4 + 180*y**2 - 220","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -10*c**3 + c**2 + 3*c - 4. Give k(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d. Let z(u) = 3*u + 6*u - 7*u - 1. What is -3*y(x) + 2*z(x)?\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1928440264 a multiple of 928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (56\/50)\/(554\/(-1385))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1370*x - 1287*x = 415. Calculate the remainder when 21 - -4*(-1)\/2 is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.7 * 1.635\nAnswer: 4.4145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 9*y + 16. Let w(a) = -26*a - 49. Let i(k) = 8*j(k) + 3*w(k). Let q be i(-4). Solve -4*p + p - q = 5*z, 0 = 5*z + 20 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 524747285 times -0.4\nAnswer: -209898914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h**2 + 0*h**2 + 0*h**2 + 0 + 0 - h**2 + (-7 + 1 + 3)*(-2*h**2 - h**2 + h**2).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.368 + 0.318. Which is the third smallest value? (a) -1 (b) 2\/11 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 98 - -132. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 781576433*q**5 + 269423934*q.\nAnswer: 15631528660*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7335*p**2 - 143*p - 7333*p**2 + 14678*p**2.\nAnswer: 10*p**2 - 143*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.05587 (b) -2\/9 (c) -58\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*g = -4*p - 58*g + 17, 6*p + 4*g = 14 - 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 703 and 399.\nAnswer: 14763","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*d + 50 = -7*d. What is the second derivative of 3*f + 7 + f**4 + 11 - 9*f + 3*f**d - 9 wrt f?\nAnswer: 60*f**3 + 12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21571\/180 - 1133\/9. Let h be (-30619)\/10 - (0 - 2). Let p = 3055 + h. What is the common denominator of p and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**2 - 6 - 4 + 12*s + s**2. Let p(n) = -n + 4. Let f be p(-5). List the prime factors of z(f).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -724 + 760. Solve 8*w - 26*w + o = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 3*n**2 + 6*n + 5. Let j be h(-4). Suppose 70 = 5*t - 5*k, -5*t + 2*k + j + 26 = 0. Suppose -t = -5*b + 1. Solve 0 = 6*r - 4*r + b for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1076 by 538.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 658995 = 3*j - 10*w, -3*j + 2*w = -658995. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -0.0424.\nAnswer: 0.0848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.51 - -0.31. Let n = x + 2.1. What is the nearest to 0 in 1, n, 4\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28 + 48. Is 285\/s*(-88)\/(-3) a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2371797 and 30?\nAnswer: 23717970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 88098 to the power of 1\/2, to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129 = -4*t - 135. Let m = 72 + t. Let k(a) = -2*a**2 + 9*a. Determine k(m).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110 (base 8) to base 12.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d**2 + 6*d + 2. Let s be f(-4). Let g be 3\/(-6) + s\/4. Let m = g - -6. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 20\/25*20*(2 - 0). Suppose -280 = -t*c + 25*c. Calculate the remainder when c is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -629*a = -630*a + 7. Solve a*n = -n - 48 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2188, 2192, -9834, -43736, -109360, -216552, -375158?\n\"Answer: -1641*b**3 + 3831*b**2 - 2*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3198 - 3197.5. Let r = 2 + -3. What is the nearest to 2\/3 in r, -2\/23, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 18 = -3*a, -d - 90 = -6*d + 5*a. Does 6 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14655 is divided by 4711.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27483?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-65 - -73)*(-11)\/((-352)\/112)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-2)*3*10\/(-315)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -327, -318, -299, -264, -207, -122, -3, 156?\n\"Answer: w**3 - w**2 + 5*w - 332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 5*g + 119, 3*g - 903 = 5*d - 220. Let i = 135 + d. What is the third smallest value in 2, 0.4, i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 32*s - 661*s - 10 + 21 + 33 - 353*s. What is the thousands digit of y(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - d + d)*(-d**2 - 2*d**2 + d**2) + d**3 + 2*d**3 - 2*d**3 + (-4*d**3 + d**3 + d**3)*(-70 - 11 + 10).\nAnswer: 147*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*w**3 + 541*w - 3*w**4 - 273*w + 1 - 272*w as p + v*w + y*w**2 + h*w**4 + j*w**3 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3392607777?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1110 - -111120?\nAnswer: 110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -9*q. Let o(a) = 30320*a + 6. Calculate d(o(m)).\nAnswer: -272880*m - 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 3*r + 53*r**2 - 4 - 8*r**2 + 7 - 5. Is u(1) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6388032?\nAnswer: 2, 3, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 665 divide 2619856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + k - 15. Let j(a) = k*a**2 + 3*a**2 + 2*a - 2*a. Let x(p) be the second derivative of p**3\/3 - 11*p - 2. Give x(j(i)).\nAnswer: 16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -796*q**2 + 401*q**2 + 394*q**2. Let g(v) = 242*v**2. Determine g(x(b)).\nAnswer: 242*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -436, -316, 186, 1316, 3320?\n\"Answer: 41*s**3 - 55*s**2 - 2*s - 420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 13) in base 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 41570311 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j. Let l be x(-7). Let n be 4\/14 + (-19)\/l + 2. Solve -r - 10 + 31 = 5*k, n*k = 4*r + 41 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 3 o when four letters picked without replacement from {o: 12, n: 7}?\nAnswer: 385\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -3*b + b - b**2 - 8 - 9*b. Suppose -k + 4*a = -9, -2*k = -k + 3*a + 19. What are the prime factors of y(k)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j**2 + 9*j + 6. Let k be f(-4). Let c be -1*(-1*3)\/1. Sort k, c, 1 in ascending order.\nAnswer: 1, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.5, 1, -18, 5, 939\/4 in decreasing order.\nAnswer: 939\/4, 5, 4, 1, 0.5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29795, -29806, -29839, -29906, -30019, -30190, -30431, -30754?\nAnswer: -31171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.7 + 0.3. Which is the third smallest value? (a) 0.3 (b) y (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17783 divided by 29\nAnswer: -17783\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -10*q + 42. Let d(z) = -13*z + 41. Calculate 4*d(h) - 5*g(h).\nAnswer: -2*h - 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 + 6.9. Let s = 26.1 + -24. Let o = s + -2. What is the biggest value in o, k, -1\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -3*w - 3. Let x be m(-2). Suppose r = 2*u - 0 + 5, -x*u = -6. Suppose -4*b = -2*d - 7 + 9, d - 17 = -2*b. Are r and d nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (506\/759)\/(-1*2)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/((g**(1\/6)\/g)\/g)*g**(-2\/9)*(g**(-2\/17)\/g)\/(g*g**6*g)*((g*g*g**(-1\/3))\/g)**(-2)\/(g**(2\/5)\/((g*g*g**(-8))\/g)) assuming g is positive.\nAnswer: g**(-23317\/1530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29111, 58236, 87375, 116534, 145719, 174936?\nAnswer: 204191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39.9 - -41. Round t to 0 dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - (4 - (-11 + 3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -7, -36, -8 in decreasing order.\nAnswer: 4, -2, -7, -8, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -6*s - 5. Let p(o) = -7*o - 4. Calculate -4*p(y) + 5*z(y).\nAnswer: -2*y - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 219, 233, 275, 357, 491, 689, 963?\nAnswer: 1325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 595 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of -113 - 1\/30*i**5 + 0*i - 5\/12*i**4 - 2*i**2 - 14\/9*i**3. Factor h(l).\nAnswer: -l*(l + 2)**2*(l + 6)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 + -136 + (-2 - -19 - 10 - (1 + -2))?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 1928*d**2 + 21*d + 20. What are the prime factors of a(-1)?\nAnswer: 41, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3aa (base 15) in base 7?\nAnswer: 2302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101001101000110111100 - -100101?\nAnswer: 1101001101000111100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 4 - s - 6 + 0. Let l be h(-5). Suppose x = -4*x + 10. Solve -i = -l*i - x for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 326721622 a multiple of 1101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 344? (a) -1\/5 (b) 13994 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 v when two letters picked without replacement from {r: 1, b: 1, v: 1, k: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 5:21 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -131, -730, -2275, -5240, -10099, -17326, -27395?\nAnswer: -40780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of 7*p**6\/360 - p**5\/15 - p**3\/2 - 10*p**2. Let f(w) be the first derivative of m(w). Find the second derivative of f(l) wrt l.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.091 to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*d - 240 + 240)*(-4 - 1 + 17).\nAnswer: 228*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*w - 469 = 10*w - 325. Put -1, -12, w, 4, 31 in decreasing order.\nAnswer: 31, 4, -1, w, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -647 = -201*c + 1196 + 1373 for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 565*w - 292 = -2552 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 234.8 - 236.8. Sort j, -2\/5, 1\/305.\nAnswer: j, -2\/5, 1\/305","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, j: 2}. Give prob of picking 2 j and 2 y.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hqqd when four letters picked without replacement from hqpppdusuqqupqshh?\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 569.4 - 569. Let q be 1 + ((-2)\/(-15) - 1). Which is the closest to 1\/3? (a) m (b) q (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2077, 4219, 6529, 9091, 11989?\n\"Answer: 14*g**3 + 2044*g + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that o**2 - 10207*o + 1922880 = 0.\nAnswer: 192, 10015","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/108 and 7*(-52)\/10*70\/(-56)?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 284?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.38 + 0.08. What is the biggest value in 1\/2, -2, s?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.8 + 5.3. Let y be 8\/(-28)*2\/(-4). What is the nearest to 2 in y, a, -1\/4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 5*z. Let v(k) = -15468*k - 3. Calculate v(w(q)).\nAnswer: -77340*q - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -3*n + 29, n + 0*m + 5*m + 22 = 0. Let t(v) = v**3 - 2*v**2 + 2. Let x be t(n). Suppose 2*r - x = 153. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 0.1 (c) 10 (d) -1 (e) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1427259 is divided by 3186.\nAnswer: 3117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 8*u + 44, u + 14 = 14922*t - 14918*t for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 - 31. Suppose m = -5*n + 3*s + 30 - 13, 7 = 3*n - 5*s. Suppose 4*k + n*k - 424 = 0. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 + 24 = -7*a - 15 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 2. Let f = -8 + 7.9. What is the third smallest value in 2\/13, j, f?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6 - 1505\/(-252))*(0 - 1). Let n(r) be the second derivative of 1\/6*r**2 + 0*r**3 + 0 - v*r**4 + 2*r. Factor n(u).\nAnswer: -(u - 1)*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/(((-264)\/(-22))\/(-12)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.329*0.2\nAnswer: 0.0658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 390545?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2392381 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52007844.\nAnswer: 2, 3, 7, 41, 15101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57, -2, -3.\nAnswer: -57, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 28*h - 163. Calculate d(4).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (-7 + 4 + -2 - -15 - 5 - 0)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127 - 228 = -19*q - 127 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - -1. Let c = i - 2. Suppose -5*l + 87 - c = 0. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21420 and 29240?\nAnswer: 1842120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 187724685 divided by 69605?\nAnswer: 2697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12*k + 9*k - 4*k)*(-1 + 1 - 1)*(2 - 2 + 7*k)*(4*k**2 - 2*k**2 - 3*k**2) to the form q + v*k**2 + s*k**4 + c*k + b*k**3 and give s.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 150 to the power of 1\/2, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1613848\/435 + 3710. Let i = 1154\/1305 + n. Factor 8\/9*g + 2\/9*g**2 + i.\nAnswer: 2*(g + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30 + 30.00026. What is o rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 divided by -1.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*a - 10 + 52 = -17*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7126339933 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 587416?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -10*m + 4. Let n be x(-4). Let z = n + -26. Does 12 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3 - 743380*w**2 - 69030615426*w + 8571230336952.\nAnswer: -2*(w - 124)*(w + 185907)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23*j**2*o**3 + 4*j**2*o + 7*j*o**5 - 59*o**2 wrt o.\nAnswer: -138*j**2 + 420*j*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 3\/4 (b) -0.3 (c) -1 (d) -4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u**2 + 12*u. Let m be z(6). Suppose m = -4*q + 39 + 1. Let a(h) = 10*h - 23. Is a(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 32*g**2. Let b(w) = 269 - 269 + 2*w**2. Give b(a(i)).\nAnswer: 2048*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 3\/4 (c) 5 (d) 0.2 (e) 465 (f) -27\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 0*d = 0. Let v be -3 - -10 - 3 - d. Suppose 3*u = -5*x + 218, v*u = -12 - 4. Is 23 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 - 1554*z - 92423. Give g(-62).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 25740, 26775, 27810?\n\"Answer: 1035*t + 24705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81 = -354033*y + 354030*y for y.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 11. Let q = -1.3 + 0.3. Let n = z - q. Which is smaller: -0.3 or n?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16335 and 605?\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 PM and 5:36 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) -46.1 (b) 0.1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4*20\/(-8) - 4. Solve -w - 2 = 2*k - 4, k = -4*w - r for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 351020977 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 71144573 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 1 = -5. Solve -x + 6*g + 26 = g, t*g = 4*x - 24 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/68714 and 77\/20.\nAnswer: 687140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 4 - 4 - 1 + 0 - 2*u. Suppose p - 13 = 2*y, -2*y - 2*p + 4 - 2 = 0. Let g(v) = 1. Calculate y*g(t) - k(t).\nAnswer: 2*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -482 + 118. Suppose -n - 6 = -2*x. Suppose 2*z + 496 = 7*u - 2*u, u - x = 3*z. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 4*u**2 + 2 + 3*u**4 + 2*u**2 - 4*u**2 to the form j*u + b*u**4 + v*u**3 + y + s*u**2 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -5, -1, 47, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3.39 or 6?\nAnswer: -3.39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence opvo when four letters picked without replacement from vllolclcoolloohp?\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + 331.2?\nAnswer: 331.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(325) + 2)**2 - (sqrt(325) + sqrt(325) + (sqrt(325) - -1*sqrt(325))*-4 + sqrt(325))**2.\nAnswer: -7751 + 70*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 0.3, -0.5, -0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-3))\/(1\/(160\/60))?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 123.7 + -123.6. Let g = -0.28 + -0.02. What is the second smallest value in g, c, -5, -1\/6?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 8 = 38. Let g be (k\/(-4))\/(5\/30). Suppose 0 = -11*i + h + 96, -6 = 19*i - 18*i - 5*h. Calculate the greatest common divisor of g and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -1 + -1 + 22 - (-1092 - -1083)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**2 - 7*f. Let o be n(5). Let y be o\/100 - 1\/(-4). Which is the second biggest value? (a) -3\/7 (b) 4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 246724618 + -8?\nAnswer: 246724610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 2\/21 (c) -0.5 (d) -0.047 (e) -1\/4 (f) 0.088 (g) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 351*i. Let v(k) = -k**2. What is f(v(b))?\nAnswer: -351*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 - -16.7. Let n = 321\/5 - 64. Which is the second smallest value? (a) n (b) d (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of 28\/3*r**3 + 19\/3*r**4 + 0 + 1\/21*r**7 + 8\/15*r**6 + 5\/2*r**5 + 8*r**2 + 22*r. Factor x(b).\nAnswer: 2*(b + 1)**2*(b + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l + 1. Suppose -3*o + 0 - 12 = 0. Let c be i(o). Suppose -4 = -3*y + 5. Solve -y = -c*g - 23 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.380470942 rounded to two decimal places?\nAnswer: 1.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5273446 divided by 12526.\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.396 - 4.04?\nAnswer: -5.436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 3*q + 8 = 5, -3*q = -d + 12. Solve -14 + 5 = -d*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 - 15*r + 11. Calculate m(-12).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x**2 + 11*x + 6. Let q be j(6). Suppose q = 19*o - 16*o - 24. Solve -2 - 3 = 4*s - 3*n, o = -2*s - 4*n for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.47033 - 1\nAnswer: -4.47033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -19.702457 to 2 dps.\nAnswer: -19.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 57\/(-12)*(-9 + (-117)\/(-9)). Let n(w) = -w**2 - 16*w + 51. Determine n(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -2\/7, 173420, 4, 2\/15?\nAnswer: 173420","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8\/577 or 1?\nAnswer: 8\/577","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7911426 to the power of 1\/3, to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 724 + (-9)\/(-6)*-2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-15)\/(-70) - (-72)\/96*16\/42. Which is the nearest to 1? (a) 0.05 (b) l (c) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h. Suppose 25*s = 14*s + 44. Let o(g) = 2*g + 9 + s*g**2 - 9 - 16*g + 4*g**2. Determine o(t(x)).\nAnswer: 8*x**2 + 14*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -185 (b) 0.3 (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 less than -2.32?\nAnswer: -18.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4850 is divided by 27.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14*4\/(-56)*-4. Suppose -t = -w*u + t + 68044, 4*u - 68056 = -4*t. Let a = u - 26012. What is a rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + 16*b**2 - 54*b - 20. Let q be j(15). Let h = 1711 + q. Does 36 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 28752*c - 3737768. What is y(130)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 2107629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 4*h - 4 = 8, -12 = 4*h. Let b(n) = -n - 6. Give b(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 764681 less than -239?\nAnswer: -764920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5587 + -5577. Which is the third smallest value? (a) 2 (b) 1\/114 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -2, 0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49160756 divided by -2.\nAnswer: -24580378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 + 6*x**2 - 11*x - 23. Let d be v(-7). Suppose -18 = -3*k - c, 0 = -d*k + 2*c + 2*c + 13. Solve 0 = -k*m - 14 + 29 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-8 - -2) - -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4171*n + 6444*n + 1781757 - 37588 = -6654*n for n.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3302981 to the nearest integer?\nAnswer: 1817","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/15 - 10\/25. Solve 5*p - 3*j = -20, 3*p - 4*p - 4*j - 4 = b for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/2*(-4)\/(-24). Put 0, -3, v in ascending order.\nAnswer: -3, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (77\/(-66))\/1*12\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1476, 5451, 12008, 21153, 32892?\nAnswer: 47231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -119444 by -4.\nAnswer: 29861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.070258 + 0.13636. Let c = -18.647 + 18.44. Let z = c + o. What is z rounded to 5 dps?\nAnswer: -0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 469893 to the power of 1\/3, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -915641*f*p**2 - 79*f*p + 165*f - p wrt p.\nAnswer: -1831282*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 2188.\nAnswer: 10940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -189e9 (base 15) to base 16\nAnswer: -137fd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192*w - 140*w = -264*w + 204, 5*t = 4*w - 3 + 10 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*d - 16 = -45*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 23 + 2815*i - 23 - 386*i + (0*i - 3*i + 6*i)*(2 + 1 - 2) + 0 - 2*i + 0.\nAnswer: 2430*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-266)\/(-6) - 16\/(-24). Suppose 12*s = 7*s + v. What is the highest common divisor of s and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 52 + 9 - 2*i - 9*i + 2*i.\nAnswer: -9*i - 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 4. Let p be (x\/3)\/((-12)\/(-126)). Let o(c) = c**2 + c - 2*c - 3*c. Let v(s) = -2*s**2 + 7*s. Calculate p*o(k) + 4*v(k).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 3*n**2 - 20*n - 13. Let d be v(5). Let l(w) = w**2 + 24*w - 41. What are the prime factors of l(d)?\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -321?\nAnswer: -321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.52338 less than -32?\nAnswer: -17.47662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1311247769 + 10027.2298052231. Let t = v - 10016.66. Let u = -10.7 + t. Round u to four decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from diidddddd. What is prob of sequence ddii?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 33318439880 rounded to the nearest one million?\nAnswer: 33318000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 47*n**3*z - 19350103*n**3 - 41058*z**3 wrt z?\nAnswer: 47*n**3 - 123174*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 444 by 3.\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 - (-39 + 6 + 16 - -44).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - q + 33 - 18 = 0, -3*k + 20 = q for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of -d**5\/60 + d**4\/3 + d**3\/3 - 2*d**2. Does 4 divide l(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 93 + -92. Sort 5, j, 9 in ascending order.\nAnswer: j, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 5:37 AM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -21 + 9. Factor 243\/2*g**2 - 27*g + k - 729\/4*g**3.\nAnswer: -(9*g - 2)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 9*d + 3. Let f be i(9). Let o = -34 - -3. Let a = o + f. List the prime factors of a.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 52 and 720382?\nAnswer: 1440764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8699291 - 2?\nAnswer: -8699293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 32 = 2*a, -5*a + a + 40 = 3*t. What is the remainder when 22 is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**(-2\/11)\/w))\/(w*w**(-4)*w))**(-32)*w**(-2\/19)\/(w\/((w*w*(w\/(w\/((w**5*w)\/w*w))*w)\/w*w)\/w))*(w\/(w\/(w\/(w\/w**(2\/3)))))**(8\/9) assuming w is positive.\nAnswer: w**(-712885\/5643)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 - (10 + (-4 - -4)). Let a = 23 + n. Which is smaller: a or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28943?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 36852*c**4 + 10*c**3 + 138217*c**2 + 9*c wrt c?\nAnswer: 884448*c + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 99 + (48 - -7) - 144\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 7*s**2 + 5. Let g(m) = -4*m**2 - 3. Let o(p) = -10*g(p) - 6*k(p). Let t(c) = 11*c**2. What is o(t(l))?\nAnswer: -242*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-5) - 436\/(-10). Suppose -3*k = k - s. Let q(w) = -9*w - 12. Let r be q(-5). Calculate the greatest common factor of r and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, k: 5}. What is prob of sequence kz?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -23704?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-12))\/(36\/72).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 161a9 (base 15) in base 12?\nAnswer: 352a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 10:08 PM?\nAnswer: 5:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -113 + 109. Let h be (-42)\/12 + (6 - q\/(-2)). Solve 8 + 9\/2*x**2 + h*x**3 + 12*x = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2*o - 1389 = -343, 3*z + 1566 = -2*o. Let r = 520 + z. Solve 118*a - 121*a - 6 = r for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 + a - 3. Let b be i(-4). Suppose 3 = 3*l + b. What are the prime factors of 3\/12*-46*l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 72 = -5*o + o, -219 = -6*o + 5*y - 295 for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -1117*y**2. Let c(z) = -z**2. Calculate s(c(h)).\nAnswer: -1117*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.7 - 4. Let r = g + 4.3. Let w = 44 - 175\/4. Which is the second biggest value? (a) r (b) w (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -10266*h**5\/5 + 51302*h**4\/5 + 30826*h**3 - 10182*h**2 - 143864*h\/5 - 392\/5 = 0.\nAnswer: -2, -1, -14\/5133, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 45187 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 c when three letters picked without replacement from {q: 1, u: 11, c: 8}?\nAnswer: 77\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 375881959?\nAnswer: 19, 19783261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 9698?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6143408*-1.\nAnswer: -6143408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -39 in -2\/7, 2\/5, -3, -3.5?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -65 + 68. Let n be (-4 + -22)\/((9\/(-3))\/g). Let b = n - -123. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/191 - 195\/382. Let w = -3017 - -3016.96. What is the nearest to m in 5, w, 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y - 2. Let h(x) = 9*x + 9. Let w(j) = -6*h(j) - 26*p(j). Let n be w(-1). Solve -k - 3*k - 4 = n for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 3*c + 9, -c + 3 + 10 = -2*q. Let r(o) = -11812*o + 3940*o + 17 + 3936*o + 3935*o. Calculate the remainder when r(q) is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/52 at least 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/138 and 133\/12.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*((-9)\/(-3) + 1 - 4). Suppose i*v - 2595 = -5*v. Suppose 6*c - 3*c = v. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b (base 16) to base 10.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k - 15 = 8*k. Solve k*j + 1 = 2*w + 2, 5*w + j + 28 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 10*h**3 - h**2 - h - 2. Let c be j(-2). Let u = -48 - c. Suppose -2*k + 0*k = -u. Is 18 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 + 2)*(0 + 0 + r)*(-r**2 - 5 + 5).\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/14)\/((-184)\/322)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1317 + -1320. Sort -9, j, 10, 5 in descending order.\nAnswer: 10, 5, j, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -582144801*g*j**3 - 9116*j**3 - 4*j - 819 wrt g.\nAnswer: -582144801*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1418 - -1387.2. What is the smallest value in 3, 0.4, f, -0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 618 and 412.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -3*q**4 - 696*q**3 - 43056*q**2 - 311808*q - 602112 = 0?\nAnswer: -112, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 0 - 4543666*s + 4543666*s - 3*s**2 + 7.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14801 and 76342?\nAnswer: 1450498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: cf (base 16) to base 15\nAnswer: dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 5*p, 154*t - 158*t = -5*p - 40. What is the highest common factor of t and 256?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 29*a + 13*a - 1)*(-382 + 241 - 421).\nAnswer: 8992*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -39*l + 19. Let w(d) = -15*d + 8. Let n(g) = -2*t(g) + 5*w(g). Let r be 0 + -2 - (-2 + 3). Let o(v) = -v - 1. Determine r*n(q) - 6*o(q).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 975 is divided by 140?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(616)\/(sqrt(55)\/sqrt(5)) - sqrt(56))\/(sqrt(8) + ((sqrt(8) + (sqrt(8) - sqrt(32)\/sqrt(4)))*6 - sqrt(8))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-2*sqrt(325) - sqrt(325)) + sqrt(325) + 3 + 5)**2.\nAnswer: -240*sqrt(13) + 1444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 101 divided by -1.\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.04 (b) 83\/38 (c) 0 (d) -0.1 (e) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1096 = 4*c + 1144, u + 2*c = -22 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -652 = -2*x + 4*a + 582, 3*x - 5*a - 1846 = 0. What are the prime factors of x?\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1092 or -6865?\nAnswer: -6865","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 703383209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-321218)\/(-14) - (0 - (-2)\/14). Let v = a + -12344. Round v to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d + 7. Let g(c) = -31*c - 5. Let l(k) = -30*k + 1. Let a(i) = -g(i) + l(i). Determine 4*a(m) - 3*u(m).\nAnswer: -2*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -4*u. Let x(s) = 2*s**3 - 15*s**2 + 8*s - 4. Let o be x(7). What is the units digit of o - (u + 0)\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -369 (base 10) in base 15?\nAnswer: -199","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o + 4*o - 2*o. Let d be (0 - 0 - 2) + 2. Let a(j) = d*j**2 + 5*j**2 - 3*j**2. Calculate a(r(y)).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-220)*12*16\/24?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -136*z**2 + 21*z - 14. Let o(y) = 203*y**2 - 33*y + 22. Give -8*f(m) - 5*o(m).\nAnswer: 73*m**2 - 3*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.5, 3\/4, 5, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 155538740 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 68253 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 327 - -51. Is 26 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3553?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7975960.\nAnswer: 2, 5, 199399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -625, -548, -467, -382?\nAnswer: -293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 + 0.2. Let s = 1 - f. Let m be 2\/4*8\/(-8). Which is smaller: s or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 5*y - 54. Calculate the highest common divisor of 63 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 229 - 223. Let p(i) = 77*i - 121. Let q be p(l). What is q rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 821 a factor of 6353719?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*h - 90 - 138 = 0 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7208, -28210, -63038, -111692, -174172?\nAnswer: -250478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -9*m - 3. Let o(i) = -18*i - 5. Let l(z) = -6*o(z) + 10*r(z). Let f(t) = t**2. Give f(l(p)).\nAnswer: 324*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, m: 2, e: 1, w: 2, g: 1}. What is prob of picking 1 g, 1 a, and 2 e?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of -b**4\/24 - 3*b**2. Let t(g) = -4*g**2. Give h(t(q)).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 10. What is the third smallest value in 0.4, t, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4558*a + 4613*a + 3080 = 0 for a.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -9*i + 81. What is the units digit of t(-14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*p**3 + 44*p**2 + 49*p**2 - 93*p**2.\nAnswer: 54*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 56*y**3 - 110*y**2 + 52*y + 2 = 0. What is y?\nAnswer: -1\/28, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 1*(190*-3)\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c**2 + 5*c + 5. Let u(s) = -3*s**2 + 6*s + 6. What is 6*g(t) - 5*u(t)?\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - 54?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 2*v - 12 = -28, -4*u + 2*v - 16 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 6 = 0, -4*w + 96*g + 522 = 95*g. Calculate the smallest common multiple of w and 11.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/10265760 and -19\/738.\nAnswer: 420896160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*i**3\/3 + 32500*i**2\/3 - 97465*i\/3 + 64970\/3 = 0. What is i?\nAnswer: 1, 2, 6497","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + -17 + 13 + (-2 - -8)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122 (base 4) to base 7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -21 * -0.197\nAnswer: 4.137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114391 + 138*j**3 + 57192 + 57199 - 29*j**3.\nAnswer: 109*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -4*v + v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1432892 to the nearest integer?\nAnswer: 1197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g**5 + 195*g**4 - 2*g**2 - 2*g - 4917.\nAnswer: 20*g**3 + 2340*g**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -2) + (3 - 4) + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + 5*a + 1. Determine f(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of -2*y**2 - 1\/28*y**4 - 4\/21*y**3 + 1\/210*y**5 + 0 + 7*y. Determine n so that j(n) = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of -3\/2*y**2 - 1\/10*y**5 + 3*y + 0*y**3 + 0*y**4 + 0. Differentiate s(q) with respect to q.\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 12 = 5*l. Suppose 5*g + 0*g + 2*m = 50, 5*g - 3*m - 50 = 0. Suppose -g = -n - 5. Which is bigger: l or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -7. Suppose 4*z = 2*z. Suppose -3*m = -3*c + 39, -90 = 2*c - 96. Put m, z, y in descending order.\nAnswer: y, z, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 10 - q**3 + 9*q + 0*q**3 - 23*q + 12*q**2. Let u be i(11). Let d = u - -59. Calculate the highest common factor of 90 and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + -9. What are the prime factors of 82 + 6*m\/3?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -5 + (-5 + 3 - 1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(-5)\/(-5) - (4 + 1). Which is bigger: p or -21\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 + 9\/(27\/(-6)). Find the second derivative of n*a**3 + 5*a**3 + 15*a - 2*a**3 - 18*a wrt a.\nAnswer: 30*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -179, -708, -1589, -2822?\nAnswer: -4407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6685, 6686, 6687?\n\"Answer: b + 6684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*t**2 - 11876*t - 10267 wrt t.\nAnswer: 6*t - 11876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 466.9 rounded to zero decimal places?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -2 + 5. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 66\/561*8523\/(-6). Let l = j + 167. Put 2, l, 3 in decreasing order.\nAnswer: 3, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6820654*j - 4488 = -6820566*j for j.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/2)\/(15\/(-40)). Sort -1, 2, k in decreasing order.\nAnswer: k, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -169*n**4\/5 - 78*n**3 - 277*n**2\/5 - 12*n - 4\/5 = 0.\nAnswer: -1, -2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35 and 19.\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 38*i**2 - 2*i - 5*i + i + 7*i as p*i**2 + t + k*i and give p.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35 - -24. Let b = l + 35. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3155431 is divided by 59?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -42, -73, -136, -237, -382, -577, -828, -1141?\n\"Answer: -s**3 - 10*s**2 + 6*s - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -37 - (-5)\/((-10)\/(-4)). Let d = -20 - 46. Let m = a - d. Is 10 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 760\/(-66) + 68\/374?\nAnswer: -34\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*k = -120*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5895 + 3428 = 447*p + 10496 for p.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -142\/11 or 3?\nAnswer: -142\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zhc when three letters picked without replacement from {z: 2, d: 2, c: 1, h: 1, f: 5, q: 6}.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11100001101001010 (base 2) to base 10.\nAnswer: 115530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9563 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -79009 + -1.2679?\nAnswer: -79010.2679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 363489?\nAnswer: 3, 7, 19, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of -r**5\/12 - r**3\/2 + 2*r**2 - 3. Let y(t) be the second derivative of o(t). What is the derivative of y(f) wrt f?\nAnswer: -10*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0722 - -0.2306?\nAnswer: 0.1584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(36)\/(sqrt(6)*3))\/(sqrt(162) + (sqrt(162) - -1*sqrt(162))).\nAnswer: -5*sqrt(3)\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 47*v**3. Let g(p) = -2*p**2 + 3*p. Let l be g(3). Let y = -8 - l. Is j(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 2*q + 2940. Calculate the common denominator of (-10)\/(-65) - q\/(-429) and -47\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/8, 59, 3, -336 in decreasing order.\nAnswer: 59, 3, -7\/8, -336","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (141\/12 + -13)\/((-10)\/44).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 208611 and 71.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 12:37 AM?\nAnswer: 4:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of 0*g**7 + 4*g - 1\/4*g**4 + 1\/28*g**8 + 0 + 0*g**6 + 0*g**3 + 0*g**5 + 0*g**2. What is the third derivative of n(i) wrt i?\nAnswer: 240*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191 is divided by 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 785630?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, 4\/5, 5, 7, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t. Let h(g) = 51*g**2 + 5. Let o(y) = 152*y**2 + 14. Let d(r) = 14*h(r) - 5*o(r). Give j(d(q)).\nAnswer: -92*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 15*u**2 - 38*u - 21. Give y(-17).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 3:23 AM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 PM and 12:21 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - 8*b**2 - 5*b + 8. Let o be a(-7). Let t(w) = -2*w - 7. Let g be t(o). Solve -n - 4*q = g, 2*n - 3*q - 1 + 0 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 346*a - 1043 - 319 = -335*a. Factor 30*h + 19\/4*h**a + 1\/4*h**3 + 63.\nAnswer: (h + 6)**2*(h + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2 and -55 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7\/4 of a day?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1625338?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 9, k: 7}. What is prob of picking 2 r?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*r**3 + 72913*r - 72933*r + 51*r**3.\nAnswer: 44*r**3 - 20*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*r - 354 - 226 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1219841 + 1219843.999985. Let n = w - 3. What is n rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*((-1)\/(-4) - (-168)\/(-32)). Let j = 61 + -58. Suppose 3*a + 2*r - 2 = -a, -3*a + 15 = -j*r. Solve a*t - h*t = 6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven halves of a hour?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 + 1 - 5)*(2*o + 0 + 0) - o - 3*o + 2*o - o + 0*o + 3*o - 4*o + 3*o - o - 4*o - 4*o - 7*o)*(-5 + 3 + 6) in the form b*o + c and give b.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/(-460))\/(((-4)\/(-3))\/(304\/(-171))).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 35902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4446 and 1539?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.805226 rounded to 4 decimal places?\nAnswer: -1.8052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q + 4*u - 24, -5*q - 57*u = -53*u - 31 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 5*n. Is 2\/7 >= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00543758 rounded to 4 dps?\nAnswer: -0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -144 + 370. Let z = 231 - a. Solve j + 0*j = 3*c + 1, -z*c - 2*j = 9 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 2*y = 434 - 453, 2*h + 5*y + 4 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-104)\/70 - (-150)\/125 - (-358)\/(-70). Which is bigger: k or -32?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 522 + -129. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60 and 756874?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of -i**6\/120 - i**5\/30 - i**4\/24 - 5*i**3\/3 + 6. Let q(v) be the third derivative of j(v). Factor q(r).\nAnswer: -(r + 1)*(3*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17.4 + 5.1. Let r = -16.3 - g. Which is the closest to 4? (a) 0.5 (b) 0.3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 + 12.11. Let z = -3.89 - l. Let x = 31 - 30. Which is smaller: x or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 85*c*r**2 + 9267*c + 33*r**3 wrt r.\nAnswer: 170*c*r + 99*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 567 + 51 = 82*n - 612 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 5:49 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4*x + 1915 = 2*z, -3*z + 2875 = -x. Is 96 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -207*p + 626*p - 209*p - 1 - 206*p + 1.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 233 - 18. Let p = f + -214. Suppose i + 7 = r - 7, 0 = -r + 2*i + 15. Solve -2*g - p = m, -4*g - 5*m - r = -2*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-73 + 367 - 110)*(q**4 + 0*q**4 + q**4) + 8*q**4 - 8*q**4 + 7*q**4 to the form k*q + r + x*q**4 + w*q**2 + f*q**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 9*x - 22*x - 24*x. Let v(h) be the third derivative of 0 + 0*h**3 - 30*h**2 + 1\/12*h**4 + 0*h. What is l(v(o))?\nAnswer: -74*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176820.\nAnswer: 2, 3, 5, 7, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -875 (b) 0 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 55 and 5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9708 - 9780. Which is the second smallest value? (a) x (b) 1\/16 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 - 3. Let i be s(-3). Suppose -x + 4 = -2. Calculate the greatest common factor of x and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6177552 is divided by 32859.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.3 + 2.3. What is the second biggest value in 2\/19, q, -5?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-122)\/(-14) - (-2)\/7. Let j be 147*29\/203*(-24)\/(-7). Calculate the highest common divisor of j and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*g = -9*g - 21*g + 60 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1524 + -1472. What is the greatest common factor of o and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*g - 5, -2*z + g - 47 = 0. Let n = z + 41. Is 6 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5947\/10 + -596. Let h = 38994 + -151203\/4. Let i = h - 1208. Find the common denominator of i and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 5*k**2 - 3*k - 6. Let p(j) = 10000*j**2 - 20001*j**2 - 3*j - 7 + 10006*j**2. Determine -6*p(n) + 7*x(n).\nAnswer: 5*n**2 - 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - y + 60 = 0. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -769*y + 131498. Determine t(171).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + 25*i**2 - 22*i - 48. Let r be k(24). Sort -3, r, 1, 4 in descending order.\nAnswer: 4, 1, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-7 - -6 - 1) + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(125)*-5 - 1*(sqrt(125)*1 + sqrt(125))) + -3*sqrt(125)*-3*1 + 4 + -5)**2.\nAnswer: 30*sqrt(5) + 1126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -604, -598, -590, -580, -568, -554, -538?\nAnswer: -520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49776388.\nAnswer: 2, 12444097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + -7163624?\nAnswer: -7163623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 56430 to the nearest 1000.\nAnswer: 56000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o = 3*o + 160. Suppose 5*s + v - 37 = o, -61 = -4*s + 5*v. What is the remainder when (-29)\/(-145)*(-2 + 197) is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 161\/415 + -2697289\/3735. Let h = 730 + f. Let s = -25\/3 + h. Which is greater: s or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (30 - 4061*z + 3960*z - 30)*((1 + 5 - 4)*(3 - 3 - 1) - 2 - 2 - 1) to the form c*z + u and give c.\nAnswer: 707","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 20. Suppose 0 = n + 2*n + s. Calculate the remainder when 34 is divided by (-11 + 2)\/(6\/n).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 + n - 1. Let f(z) = -14*z**2 + 9*z - 6. Let h(x) = -19*x**2 + 10*x - 8. Let y(w) = 4*f(w) - 3*h(w). Give -3*r(j) + y(j).\nAnswer: -2*j**2 + 3*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.70631924 and 250395.\nAnswer: 250395.70631924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 731606 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3*b**2 + 11*b - 2. Let f be d(-11). Suppose k = -3*k + 4*z + f, 306 = 5*k - 3*z. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/13709 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of -o**7\/42 - 25*o**6\/8 + 100*o**5\/3 - 42*o**2 - 2*o + 33. Factor i(w).\nAnswer: -5*w**2*(w - 5)*(w + 80)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-2)*-1)\/((-4500)\/240)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 37951 (base 10) in base 3?\nAnswer: 1221001121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2410245259 to the nearest integer?\nAnswer: 1341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 - v. Let g be y(2). Suppose -48 = -g*t + 126. Let j = t - 48. Calculate the remainder when j is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1222*y - 9 - 47 + 57.\nAnswer: -1222*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1812304031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 27775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rurr when four letters picked without replacement from {r: 3, u: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/85292268 and 1\/2889.\nAnswer: 767630412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + k = 0, -4*k + 27 = -i + 13. Find the first derivative of -319 - 172*x**i + 34*x**2 + 53*x**2 + 25*x**2 + x wrt x.\nAnswer: -120*x + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 500 + -12045?\nAnswer: -11345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2 + 1226*a\/5 + 19124\/5.\nAnswer: -2*(a + 14)*(5*a - 683)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/7? (a) -2 (b) -0.05 (c) 2\/7 (d) 99\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 59*k**3 - 34*k**2 + 33*k + 1. Let c be o(1). Suppose 0 = -f + 47 + 12. What is the greatest common divisor of c and f?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2491?\nAnswer: 47, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 5:04 AM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2773623, 2773617, 2773611?\n\"Answer: -6*r + 2773629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1612*q**2 - 117*q**2 - 215*q**2.\nAnswer: -1944*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1913436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-19)\/((-380)\/1480))\/(-1 + 3))\/(1 - 0).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zkzj when four letters picked without replacement from pkzzkzzzzpkkjzkzzzz.\nAnswer: 275\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - -2 - (-29 - -24).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -885*x + 36296. Calculate o(41).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*g - 142 = 82 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42811?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 40838, 81282, 121726, 162170, 202614?\n\"Answer: 40444*j + 394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddz when three letters picked without replacement from vvzdvvvdzzvgvdddvz.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23168 is divided by 368?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -8755*p + 250. Suppose 80 = 9*n - n. Let b be v(n). Round b to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12290?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 474 is divided by 82?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-7) + 2379\/364 + (-1)\/4. Put 5, i, -107 in increasing order.\nAnswer: -107, 5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06*-226.\nAnswer: -13.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 6*h**2 + 8*h + 10. Let u be y(-7). Suppose c = -u*p - p - 16, -3*p = -4*c + 12. Let m(k) = 2*k + 3. Calculate m(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/10*(-24)\/(-9) + (-846)\/(-207)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 4*c - 32, -5*u + 0*c + 4*c = -40. Let f = 9 + -8. Suppose f + u = y. List the prime factors of y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46645370?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12 + 75 + 2*s - 18 + 189*s**2 - 23 wrt s.\nAnswer: 378","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/703674 and -6\/785?\nAnswer: 3518370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143237 is divided by 47722?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*i + 24*i + 1350. What are the prime factors of i?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q - 6 = 2*q + 2*w, -5*q - 3*w = -5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 47399 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 206770 divided by 29?\nAnswer: 7130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 10 = i, 0 = -6*i + 2*x + 16 - 54 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6653 or 6645?\nAnswer: 6645","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7524)\/(-317262))\/((-21)\/(-322))?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 0 + n + 0. Let b(u) = u**2 + 4. Let w(s) be the first derivative of s**3\/3 + s + 4. Let d(g) = -b(g) + 4*w(g). What is i(d(f))?\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -214*m - 15617. Let b be j(-73). Let k(a) be the second derivative of -a**5\/20 + a**4\/4 + a**3\/6 + a**2\/2 + a. Give k(b).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2408 divided by 2\nAnswer: 1204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -3*c - 3. Let k be m(-2). Let o be 2\/k*(-10 - -1). Is -1 - o - (7 - 5) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -6*j**2 - 276*j + 868. Determine c(-49).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1*(-6 + -13))\/(-1). Factor -1195*p + 1235*p - 13 + r*p**2 - 22*p**2.\nAnswer: -(p - 13)*(3*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of -f**3 + f. Let u = 26 + -9. Let q(x) = 2*x + u - 17. Calculate q(i(v)).\nAnswer: -12*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9\/(-243) + 2660\/378. What is the nearest to n in -1, -28, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3115884?\nAnswer: 2, 3, 259657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-102)\/9)\/(8\/36). Let t be 2\/(-8) + y\/(-12). Suppose 0 = -t*m - 69 + 181. Calculate the highest common divisor of 4 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 10:25 AM?\nAnswer: 4:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 14, -1, -13.62?\nAnswer: -13.62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -1299*f - 1. Let k(g) = 5174*g + 4. What is -9*c(p) - 2*k(p)?\nAnswer: 1343*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 111+-10\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296424 is divided by 600.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/14 and 19\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.7 + 0.5. Let x = -0.1 - h. Let s = -0.35 - -0.15. What is the closest to s in -5, x, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (31 - 1)\/5*((-56)\/60)\/(-7)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -27, -70, -141, -246, -391, -582?\nAnswer: -825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - 26*k + 34. Let y be j(25). Is 1 + y\/3 + 156 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001134 to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + (-2)\/(-2))*(-184)\/6. Calculate the remainder when (46\/z)\/(1\/(-162)) is divided by 44.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -8298*o**2 - 73*o + 375. Let l be m(5). What is l rounded to the nearest ten thousand?\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -59589\/10 - -5965. Calculate the common denominator of 77\/6 and k.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101 (base 2) to base 6\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 u when two letters picked without replacement from mmmxmxuxxxmxxxrx?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssts when four letters picked without replacement from {y: 1, c: 1, s: 4, t: 1, o: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nqnn when four letters picked without replacement from nnnnnnnnnnnqnnn.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/18 and 41\/22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.99 - -0.01. Let d = -4 - -9. Which is the smallest value? (a) 0.4 (b) s (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1dc14 + 5?\nAnswer: 1dc19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -682\/65 in -0.4, -0.5, 0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 b when three letters picked without replacement from bssjsjj?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - n**3 - 1 + 2*n**3 - 2*n + 2*n + (3*n**2 - 4*n**2 + 2*n**2)*(14 - 48 + 247*n + 35).\nAnswer: 248*n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 64 and 1472?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 2 j, and 1 i when four letters picked without replacement from sjpplpjspsills?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 594603, 594605, 594607, 594609, 594611?\nAnswer: 594613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101101000 (base 2) to base 5.\nAnswer: 2420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 - 13 - 5*s**3 + 3*s**3)*(131*s - 126*s + 222*s) as f*s**2 + t*s + y*s**4 + c*s**3 + l and give t.\nAnswer: -1135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 81626499*s**2. Let i(n) = 12*n. Give i(w(d)).\nAnswer: 979517988*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 494 and 152?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.7 + -0.7. Let r = -42393\/4 + 42391\/4. Which is the closest to 0? (a) -4 (b) s (c) 0.4 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 3*h**2 - 6*h + 23. What is g(6)?\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 3*y**5\/4 + 5*y**4 - 9*y**3\/4 - 61*y**2\/2 + 9*y + 18 = 0.\nAnswer: -6, -3, -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 25580584?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22002 - -12022210?\nAnswer: 12000201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, 5, 1 in ascending order.\nAnswer: -1\/6, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 2*q + 962, -3*a - q + 2393 = 2*a. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 + 31. Let o = -10 + h. Let c(n) = n + 5 + 4 - o - n**2. Give c(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -234, -115, 4, 123, 242, 361?\nAnswer: 480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = z - 3*d - 0, 16 = 4*d. Suppose 2*h = -3*h + 580. Suppose 0 = 2*x + z*x - h. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(2\/3))**(2\/27)\/(x**2)**(-41))**(-6) assuming x is positive.\nAnswer: x**(-13304\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 658 = 15*z + 79*z. What is the remainder when 26 is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a**(-12)\/a)*a*a**(-7) assuming a is positive.\nAnswer: a**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + g**2 + 78. Let u be k(0). Which is greater: u or 70?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a decade in months?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1.56, 3, 0, 4, 2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express b - 26 + 0*b - 6*b**2 + 25 + 5*b**3 + 0*b as u*b**2 + l*b**3 + t*b + w and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 133, 1, 0.\nAnswer: 0, 1, 133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 124 - 2?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(3) - sqrt(33)\/sqrt(44))**2 + (0 + sqrt(432))**2.\nAnswer: 1739\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 15*v - 95. Solve -v*w = 5*r - 13*w - 24, 0 = r + 3*w + 2 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-88)\/6 + 105\/567*9.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-134)\/(-268)*98\/1. Solve -18*b - t = -157 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300)*4)**2 - sqrt(1300) - (sqrt(2548) + 1).\nAnswer: -24*sqrt(13) + 20799","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -4.205 + -0.006\nAnswer: -4.211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -94*k + 14. Let m(j) = -145*j + 14. Let o(b) = 3*i(b) - 2*m(b). Give o(-8).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 3712*d**2 + 11*d + 10. Let g be n(-1). Let y = g + -2135. What is the hundreds digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -f - 3*f - 38, 1 = -2*f - 5*r. Let x = f - -33\/4. Put 4, 2\/13, x in ascending order.\nAnswer: 2\/13, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 divided by 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/7)*r**13\/r*r)\/(r**(-10)*r**(-10)) assuming r is positive.\nAnswer: r**(232\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2. Let f be 1 + (-15)\/9 - 6\/(-9). Let o(a) be the second derivative of 0*a**3 + f*a**2 + 0 - a - 1\/12*a**4. Determine x(o(s)).\nAnswer: -s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/(-9))\/(8\/12) + 1. Suppose h = 12*f - 353 + 29. What is the lowest common multiple of 81 and f?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -4 (b) 2\/5 (c) -29.988 (d) 5 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 40?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -222 - -13095\/59. Let l = y + 440\/531. Do 0 and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 698 = 2*s, -5*s + 35 = 3*o - 289. Solve 16*w = -o + 18 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of 8*s**6\/27 + 164*s**5\/45 - 5*s**4 - 460*s**3\/27 + 362*s**2\/9 - 88*s\/3 - 1416. Determine b, given that v(b) = 0.\nAnswer: -11, -2, 3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 43*h. Let t(k) = -51*k - 96. Let r(y) = 50*y + 120. Let d(l) = 4*r(l) + 5*t(l). What is d(s(g))?\nAnswer: -2365*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 52. Let j be (-1)\/(12 - 19313\/1612). Is j equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - 10. Let m = h - 10. Let z = 100 - 99.5. Which is the nearest to 1? (a) z (b) m (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2551 is divided by 1173?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-11)*v)\/(v*v**(-25)))\/(v\/(v*(v*v\/(v\/(v\/(v*v\/(v**(-8\/9)*v)))))\/v*v))**(-2\/97) assuming v is positive.\nAnswer: v**(12220\/873)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23 - 21. Solve -2*n - 2 = w for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -90.89 (b) 5\/4 (c) 0.2 (d) -0.4 (e) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01263 * -0.5.\nAnswer: -0.006315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13866.37l?\nAnswer: 13866370","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 272, -37, -8, -2, -5.\nAnswer: -37, -8, -5, -2, 272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -765 divided by 51\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 3*l + 6755 = 0, 2*l - 4654 = -4*q + 2116. Is 12 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/20 and -97\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -0.2 (b) -6 (c) 3 (d) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 2*p - 2*i + 22, 5*p = i + 15. Suppose 0 = p*t + 2*v - 48, -3*t + v + 57 = 11. Does 7 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*u - 2)*(-4 + 0 - 2)*(-15*u - 2 + 2).\nAnswer: -180*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**5 + 4*a**3 - 4*a**3 + (-4*a**4 - 2*a**4 + 4*a**4)*(-3*a + 2*a + 0*a))*((-3 - 4 + 2)*(-3 - 4 + 17) + 1 + 2 - 5).\nAnswer: -156*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 251 - 255. Let n be ((-1)\/k)\/((-3)\/(-36)). Solve n*j = -3*v - 3, -2*v + 8 = 4*j - v for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*v - 13*v - 38 = -3*p, 2*v + 38 = 4*p. Solve 18 = 8*l + p*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*x + 1118 + 457*x**2 - 43*x**2 + 1113 - 2231 in the form t*x**2 + a*x + i and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 618690 a multiple of 246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-14))\/(t*t\/t**(-37)) assuming t is positive.\nAnswer: t**(-52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 161811804 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, 1, 23, 3, -418 in ascending order.\nAnswer: -418, -1, 1, 3, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 23572445 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2242081.\nAnswer: 193, 11617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69361073.\nAnswer: 1229, 56437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 + -30. Let r be (-12 + 9)\/(3\/(-4)). Solve 0 = -2*y - v*y + r for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20.866 + -25.866. Let v = -2.8 - -3. Sort o, -0.5, v, -20\/3 in decreasing order.\nAnswer: v, -0.5, o, -20\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -9, -8, 19, 84, 199, 376, 627, 964?\n\"Answer: 2*j**3 + j**2 - 16*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -788.828.\nAnswer: 157.7656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -56 - -66. Suppose -b + 18 = 5*j, -2*b - v = -3*b - 3*j. What is the common denominator of (68 + (b - -1) + 3)\/3 and -1\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1939*p + 20161 - 934 = 2243 - 10162 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1010, 4221, 9622, 17213, 26994, 38965, 53126?\nAnswer: 69477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2. Let b(q) be the third derivative of -q**8\/10080 + q**5\/6 + 3*q**2. Let n(g) be the third derivative of b(g). What is n(a(r))?\nAnswer: -2*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -2*l**2 - 282*l - 828 = 0.\nAnswer: -138, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -5*l**2 + 131844*l - 395494. What is z(3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*x - 5*x + 3*x)*(-2 + 1 + 6) + 3*x - 5*x + x + x + 2*x - 2 - 4*x in the form f + q*x and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*q + 6*q - 3*q)*(-10 + 7 - 6 + (-4 - 1 + 4)*(-4 + 6 - 1) + 2 - 5 + 2) to j*q + c and give j.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 21, -0.06 in increasing order.\nAnswer: -3, -0.06, 3, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1260986?\nAnswer: 2, 630493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -14*p - 11. Suppose -9*n = 7*n + 96. Let t(a) = -7*a - 6. Determine n*o(y) + 11*t(y).\nAnswer: 7*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 + 6*f - 6. Let a be w(-8). Let m = -14 + a. Does 19 divide 2*2\/m + 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 439.\nAnswer: 2\/439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -1, 4, 5, -237, -30 in ascending order.\nAnswer: -237, -30, -5, -3, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by 23.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -15*k**2 - 1. Calculate n(1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5111 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -3*d**3 - 10*d**2 + 13*d - 16. Let o(n) = 4*n**3 + 13*n**2 - 16*n + 16. Let z(h) = 2*o(h) + 3*v(h). Calculate z(-5).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u**3 + 21*u**2 - 84*u + 207. Calculate o(-14).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of u**3*z + u**3 + 8136*u**2*z - 2*u**2 + 32*u*z - u - 2*z - 458 wrt u?\nAnswer: 6*u*z + 6*u + 16272*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1405, 1416, 1435, 1462?\n\"Answer: 4*n**2 - n + 1402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 7*i**2 + 6*i - 12. Give h(8).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 6, b: 1, x: 1, q: 5, i: 2, w: 1}. Give prob of sequence qi.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - 2*b + 13. Let k(f) = 5*f**2 - 11*f + 65. Let l(w) = -2*k(w) + 11*s(w). Is l(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 9\/2, 7, 18 in ascending order.\nAnswer: -2, 9\/2, 7, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 176488 divided by -44122?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69727257?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177221 = 129*g + 182252 for g.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -335*c*f*m**3 - 1174*c*f*m**2 - 2*f*m**2 - 894*f + 3*m**3 + 1 wrt c?\nAnswer: -335*f*m**3 - 1174*f*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 54534110?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 65*c + 26 + 39 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 3*k + 4*s, 6 = -10*k + 12*k - 2*s for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 take away 0.4?\nAnswer: 626.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((576\/(-441))\/(-16))\/((-13)\/364)*(-77)\/2?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111247*q**3 - 110541*q**3 + 221787*q**3.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 (base 7) in base 12?\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p - 104*p - 3175 = 13*p for p.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*r**3 - 7*r**2 - 2*r**2 + 38*r**3 + 24*r**3 - 7*r**2.\nAnswer: 50*r**3 - 16*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -690, -19, -10\/3 in increasing order.\nAnswer: -690, -19, -10\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/1127 and -76\/5037?\nAnswer: 246813","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8880 and -1346.\nAnswer: -11952480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-105))\/(((-534)\/623)\/(30\/28)).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a gram in milligrams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 5\/2*t**2 - 3\/2*t - 1\/2*t**3 - 1\/2*t**4.\nAnswer: -t*(t - 1)**2*(t + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 3668 = -590. Suppose 2*u - p = -3*u - 4*r, -4*u = 3*r - 821. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 4, -35063, 1.\nAnswer: -35063, -19, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*v - 10 = -24*v. Solve 2*q + 10 = 5*t, 4*q - 6 = t + v for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((45\/4)\/(-5))\/((-1)\/(-4)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6927*d + 8063*d - 14989*d.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a decade in months?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 5*r**3 + 30*r**2 - r + 7. Let s be k(-6). Solve 11*x + 2 = s*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z - 15 = -z + 4*s, 2*z + 3*s + 6 = 0. Let k be -11*(3\/z - 16). Suppose 2*m = -2*m + 68. What is the greatest common divisor of k and m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vpr when three letters picked without replacement from {r: 1, p: 2, v: 11, j: 1}?\nAnswer: 11\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1728.3105 months to decades.\nAnswer: 14.4025875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -256*v + 259*v - 31 = o, 4*v - 73 = 3*o for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*x**3 + 101*x**2 - 101*x**2 - 13*x**3.\nAnswer: -20*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -176*s + 174. Give a(2).\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27417814 is divided by 71215.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/44*119\/(-119)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/12 and -35\/23076.\nAnswer: 23076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43725?\nAnswer: 3, 5, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/3)\/((-6)\/36). Sort 16, g, -2 in descending order.\nAnswer: 16, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 931 = -d, 0*s - 4*s = -3*d + 2753. Let h = d + -467. What are the prime factors of h?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -278148, -1112722, -2503676, -4451010, -6954724, -10014818?\nAnswer: -13631292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -348*p + 276. Let i(m) = -2*m + 5. Let b(a) = -g(a) - 20*i(a). What is the derivative of b(d) wrt d?\nAnswer: 388","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-8) + 13\/12)*36\/2\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8141011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -6*s**2 + s - 8. Let u(g) = -7*g**2 - 8. Let c(b) = -6*d(b) + 5*u(b). List the prime factors of c(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2 + ((-1 + sqrt(567))*-5 - (0 + sqrt(567) + -1)**2) + -1.\nAnswer: -564 - 27*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/((3 - 1)\/2). Suppose -2*u = -0*j - j - 3, -i*u = -4*j. Differentiate -j*k - 1 - k + 3 with respect to k.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 22.3 and -2486.\nAnswer: -55437.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g + 7. Let o be k(-8). Let m be (3\/o)\/(-3)*6\/2. Solve 2 = -q + m*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-10) + (48\/20)\/(-3)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 415, 376, 277, 88, -221, -680?\nAnswer: -1319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 18 - (283\/21 + (-4)\/12)\nAnswer: 34\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 515389879 to the power of 1\/3, to the nearest integer?\nAnswer: 802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19764 is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 18.6, 1, 4.233 in decreasing order.\nAnswer: 18.6, 4.233, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -8793 bigger than 5286?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 6 = 7*g. Sort 25, -1, g in increasing order.\nAnswer: -1, g, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/2, -0.16, -1\/5, 4, -936, -5?\nAnswer: -936","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 251 + 145 + 128 + 64 - 146 - 111*d wrt d?\nAnswer: -111","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/25540 + -26497751\/25540. Let w = 1038 + k. Factor w*b - 1 + 1\/2*b**2.\nAnswer: (b - 1)*(b + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 5303 (c) 4 (d) 353\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**3\/5 + 6*t**2 + 104*t\/5 + 72\/5 = 0. Calculate t.\nAnswer: -2, -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 1\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -60*h - 154. What is the remainder when t(-5) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19)\/19*5488\/(-280)*5\/(-2).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 272, -12, 1, -97 in decreasing order.\nAnswer: 272, 1, -12, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmgh. What is prob of picking 1 h, 1 g, and 2 m?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -439, -451, -457, -457?\nAnswer: -451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4286343 to the power of 1\/2, to the nearest integer?\nAnswer: 2070","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(1 + (-5*(sqrt(192) + -3) - sqrt(192))*-3) + -4 + 2)**2*1.\nAnswer: -200448*sqrt(3) + 1025604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 238 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2577819.6 nanoseconds in minutes?\nAnswer: 0.00004296366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -14*z**2 + 3*z - 2. Let p be g(1). Does 3 divide p\/((-52)\/96) + 1 - 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -6, 2, 0.2034, -1, -1\/3 in decreasing order.\nAnswer: 2, 0.2034, -1\/3, -1, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 20*s**2 + 2*s - 43. What is j(20)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 371 + -395. Let b = -163\/2 - -124. What is the common denominator of ((-4)\/24)\/(u\/1062 - 0) and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2590423489 to the nearest integer?\nAnswer: 1373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 635188 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -203 + -112?\nAnswer: -321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55, -4, 7, 3, 69, -6, 5.\nAnswer: -6, -4, 3, 5, 7, 55, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1217*w**2 + 952*w wrt w.\nAnswer: -2434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*w - 319 + 34*w + 21*w**2 - 38*w**2 + 19*w**2 as o*w + q + x*w**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1792 + 1392 = 25*b for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1955)\/391)\/(15\/276)?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23262230*n**2 - 58590587*n**2 - 64330975*n**2.\nAnswer: -146183792*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -3*c**3 - c**2 + 2*c - 1. Let t be r(-2). Let s = t + 7. Is s a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -78 - -4?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5637, -1, -630, -3 in decreasing order.\nAnswer: -1, -3, -630, -5637","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 3*o**2 - 33. Let r be s(4). Solve 0 = -r*w + 17*w - n - 15, -20 = w + 5*n for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 2, -3\/4, -9, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1.349 times -90.75\nAnswer: 122.42175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of g**4\/12 - 2*g**2. Let q be 2\/7 + (-114)\/(-42). Let w(f) = -3*f - 2*f + q*f. Calculate w(a(d)).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.155 + -0.1551386. What is r rounded to five decimal places?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/6 and -41\/304.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2*c - 5*c + 56455 = 0, 225812 = -4*a + 4*c. What is the hundreds digit of (2\/(-4))\/(22\/a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1122 and -1149 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 301632 by 18852.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a factor of 100858604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -2*p + 570, -6*p + 7*p - 1 = 0. Is -143 less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 56197004?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of -1\/60*p**5 - 4*p**2 - 2\/3*p**4 + 0 - 13\/6*p**3 + 0*p. What are the prime factors of g(-12)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-6)\/48*-16*302 is divided by 201.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ix when two letters picked without replacement from gugxiguiuuiygug?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-2))\/((-6)\/10*175\/105).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 + 6*a - 5. Let g = 18 - 14. Let p be u(g). List the prime factors of (12\/15)\/((-3)\/p).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 9*m**2 - m - 2. Let t be o(-3). Let s = -52 + t. Suppose -4*v + 59 = 3*n - 1, 5*v = 5*n + 40. What is the greatest common divisor of s and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 514412*k**3 + 4*k - 26661?\nAnswer: 3086472*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8785578 is divided by 1464263?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k**4 - 5455*k**3 + 1440310*k**2 + 26187580*k - 27622440 = 0.\nAnswer: -18, 1, 554","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 398765, 398763, 398761, 398759?\nAnswer: 398757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*l**3 + 7643*l**2*m**3 - l*m**3 - 26473*l*m - 2*m**2 wrt l?\nAnswer: 66*l + 15286*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 20, 40, 58, 74, 88?\n\"Answer: -z**2 + 23*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -63 - -61. Let z be ((-5)\/2 - a)\/(1\/(-2)). Sort -2, 5, 4, z.\nAnswer: -2, z, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**4\/2 + 7*c**3\/2 - c**2\/2 - 27*c\/2 - 9 = 0.\nAnswer: -1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b**3 + 10*b**2 - 11*b + 1. Let m be q(1). Let i be 0\/(1 - (-1 + 3)). Solve 6 = m*c - i*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.01 + 0.29. Let k = -2302 + 2297. What is the second smallest value in 3, k, -26, o?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 8 (c) -37 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -2\/37281?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 339*o**4 - 12.\nAnswer: 1356*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -96, -1, 2, -15 in descending order.\nAnswer: 2, -1, -15, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -2 - (-16 - -28)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 78764091503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32513122 to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3172 and 13021853.\nAnswer: 793","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) -28537 (b) 1 (c) 0.1 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -32, -133, -302, -539, -844, -1217, -1658?\n\"Answer: -34*p**2 + p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51633 is divided by 434.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.02712 and -23822.\nAnswer: 646.05264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*k + 112 = -118 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2*n + 38 = -6*t, n = -3. Let i = t - -6. Suppose 2*s - 4*x = -0*s - 16, 0 = 2*x - 8. Which is the closest to s? (a) 3 (b) -0.3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15224 or 15291?\nAnswer: 15291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (11639 - 11561)*309\/234\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/11 - 2*490\/(-660))*15.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36399*x**2 + 36608*x**2 - 72581*x**2.\nAnswer: 426*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 8*l - 10. Let p be b(4). Let k = 58 - p. Is k a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 - -124010?\nAnswer: 124004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1450297240085.699938 + 1450331560542.7. Let y = -34320496 + x. Let b = y + 39. What is b rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61700*z + 102755*z + 111083*z - 67803*z + 106490*z.\nAnswer: 190825*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27 and 113661.\nAnswer: 340983","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five eighths of a litre?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t + 4 - 25 = 0. Solve -2*d + 4*f - 24 = 0, 5*d - f = -t*f for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -1 + (-28 - -20) - -3\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1*((1*((sqrt(405) - (-1 + sqrt(405))) + sqrt(405)) - sqrt(405)) + sqrt(405))*-5)**2.\nAnswer: 540*sqrt(5) + 10161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 124235 (base 6) in base 12?\nAnswer: 667b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*c**3 - 132*c**2 + 212*c + 240.\nAnswer: 4*(c - 5)*(c - 4)*(4*c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 1:33 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -116911 divided by -37\nAnswer: 116911\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 4*m**3 + m**2 + 3*m. Suppose 0*l = -5*s - 5*l + 10, 2*l = 0. Let g(t) = 12*t**2 - 4*t + 4*t**2 - 5*t**3 + 0*t**3 - 18*t**s. Give -4*b(w) - 3*g(w).\nAnswer: -w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + z. Let n(r) = -r**3 + 6*r**2 + 7*r + 2. Let v be -7*((-300)\/(-42) + -7). Determine v*n(x) + 6*s(x).\nAnswer: x**3 - x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -1463?\nAnswer: -146.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13b89 (base 13) to base 14.\nAnswer: -d75a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 1 in descending order.\nAnswer: 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -51 + (48 - (-624 + 50)\/(-14))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -146 - 15*j + 146. Let m(f) = -f. Give -20*m(z) + n(z).\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 161.081 in -6, -1\/6, -67?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*m**3 + 288079606*m - 54*m**3 - 288079606*m.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2371 (base 8) to base 7\nAnswer: -3466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 12 = 0, 4*r = 3*l - 9 + 33 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000003238 to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.293636 litres?\nAnswer: 293.636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 - n + 2. Let u be d(0). Find the second derivative of -2*j**u - 3*j + 4*j - 3*j wrt j.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54\/(-5 + -4) - -16\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 PM and 4:30 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -25239, -3218, 18803?\n\"Answer: 22021*i - 47260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 392 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - -41 - 29 - (-2 - 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -14925 * -5.17\nAnswer: 77162.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - -3 - -7 - -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 22*s**2 - 980*s - 2290. What is g(48)?\nAnswer: 1358","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -3*p**2 - 2*p**3 + p**3 - 11 + 0*p**3. Let w be r(-4). Suppose 5*b - w*a = 20, -b = a - 12 + 4. Solve b*d - 7*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 9. Let s(r) = -r - 16958*r**2 + 0*r - 1 + 6*r + 16959*r**2. Determine s(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20448 rounded to the nearest one thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 65 - 63. What is the third derivative of 2 + 2677*v + 13*v**4 + v**w - 2677*v wrt v?\nAnswer: 312*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -152198, -152197, -152196, -152195, -152194?\n\"Answer: d - 152199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 359 divide 2853691?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a. Let t(u) = 2*u - 4. Let k be t(-2). Let i(r) = r + 1. Let x(v) = 12. Let s(y) = 12*i(y) - x(y). Determine k*b(h) + s(h).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-217)\/(-1395) - (1 - (-72)\/(-81))\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) -2\/3 (c) -0.12 (d) -12 (e) -6507 (f) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -220*r + 1347 - 811 + 1004 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -2 (b) -3 (c) -2\/5 (d) 5 (e) 4.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003325 rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**3 - 1208858*d**2 + 2*d + 1208858 = 0.\nAnswer: -604429, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168)\/sqrt(3)*6)\/(sqrt(32)\/sqrt(4)*2).\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q - 1. Let z be u(-9). Let j be z\/(-25) + 454\/(-10). Let w = j - -81. What is the highest common factor of 9 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00427 to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*c - 5*c + 6, 0 = -x + c + 148. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 231 and 2233?\nAnswer: 6699","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -44\/335 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7976316 and 720.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of 7*g**3\/3 - g**2 + g - 2. Let k be b(1). Let s be (k\/(-4))\/((-6)\/(-2)). What is the third smallest value in s, 0, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 313*q - 1006 = 2750 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 138 + -137. Sort 0.1, -1, y, -0.4.\nAnswer: -1, -0.4, 0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/38432 and -59\/2711858.\nAnswer: 43389728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -6436*w**2 + 28*w + 28. Let g(f) = 1170*f**2 - 5*f - 5. Give -28*g(x) - 5*o(x).\nAnswer: -580*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -71887679248 + -0.21\nAnswer: -71887679248.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 4 + 3)*((2*d - 6*d + d)*(2*d + 0 + 0) - 2*d - d**2 + 2*d) - 3 + 3 - 12*d**2.\nAnswer: -68*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11897?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 24, 2, -3, 60, 1 in ascending order.\nAnswer: -12, -3, 1, 2, 24, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 3:42 AM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 476*u**4 - 904*u**4 - 17*u + 17*u - 126 wrt u.\nAnswer: -1712*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20293?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*t + 3*t + t + 2*t + 1379002*t**2 - 1379010*t**2.\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -7*x + 7*x - 5*u, 2*x + 5*u + 150 = 124 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -3*i. Suppose -52 = -2*m - 5*p, 5*m = -0*p + 4*p + 64. Let a = -14 + m. Calculate j(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -90 + -171. Let c be i\/(-36) - (-1)\/(-4). What is the second derivative of -3 - 27*l + c*l**2 + 17*l + 3 wrt l?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38*p**2 - 5*p**2 + 66*p**2 + (-5*p + 2*p + p)*(2 - 2 + p))*(-35*p**2 - 16*p**2 + 2*p**2 + 9*p**2 - 17*p**2).\nAnswer: -5529*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**5\/5 + 93*c**4\/5 - 11439*c**3\/5 - 6969*c**2 - 35016*c\/5 - 2340 = 0. What is c?\nAnswer: -78, -1, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a + 28. What is n(7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -12*l**3 + 1652*l**2 - 1135*l + 5346. What is n(137)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 412*v - 11*v**6 - 412*v - 2*v**2 wrt v?\nAnswer: -1320*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - 16*o**2 - 14*o - 23. Let j be y(17). Calculate the greatest common divisor of j and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -74, -83, -72, -23, 82, 261?\n\"Answer: 3*g**3 - 8*g**2 - 6*g - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of 7\/135*o**6 + 0*o**4 - 1\/63*o**7 + 0*o**2 + 121*o - 1\/45*o**5 + 0*o**3 + 0. Factor m(y).\nAnswer: -2*y**3*(y - 2)*(3*y - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f\/(f\/((f\/f**(-4\/9)*f)\/f)))\/f**0)\/(f**(-3)\/(f\/f**(-5\/6))))**17)**(-2\/93) assuming f is positive.\nAnswer: f**(-1921\/837)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = 2*f + 4, 4 = 5*o + 2*f + 20 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 368329517 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*p + 144 = 3*a - 8*a, -274*a + 285*a - 5*p + 213 = 0 for a.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 7) to base 6\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -356\/35 + 74\/7. Let x(h) be the first derivative of 2 + 0*h**4 - n*h**5 + 0*h + 0*h**2 - 2\/3*h**3. Find the third derivative of x(i) wrt i.\nAnswer: -48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (16 - -5) - -8.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.111127ug?\nAnswer: 111.127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 255 and 867.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-m + 3*m - m + (0 + 0 + 2*m)*(3 - 6 + 4) - m - 2*m + 4*m - 3*m + 2*m - m)*(1 - 5 + 9) to the form g*m + k and give g.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1172, 1, -5\/3, 0.09, 91?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - -2210?\nAnswer: 2202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 166 - 0. Let w = -165 + k. What is the greatest common factor of w and 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 203644*t**6 + 244*t**3 - 1497*t**2 + 631*t + 3 wrt t.\nAnswer: 24437280*t**3 + 1464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1383829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*b + 242 + 110 = 0. Calculate the least common multiple of 16 and b.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4277\/49 - 1\/(14\/4) is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 c when four letters picked without replacement from {l: 1, h: 7, a: 1, u: 1, c: 10}?\nAnswer: 70\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 - 2*r + 1. Let t be x(3). Suppose -t*h = h - i - 10, 3*h + 22 = -5*i. Differentiate -13*k + k**3 + 13*k + h with respect to k.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1641, -3282, -4923, -6564, -8205?\n\"Answer: -1641*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -7, -9, -3, 11, 33, 63, 101?\n\"Answer: 4*w**2 - 14*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -2, -7 in decreasing order.\nAnswer: -1, -2, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -3*s + 14. Let d be y(4). Solve -52*k - 293 + 13 - 58 - d*k**2 = 0.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 11. Suppose -3*t + 33 = 2*c - p*c, -2*t = c - 16. Calculate the highest common divisor of 162 and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1296 + 3382 + 1874 = 90*o + 42*o for o.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 38989 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9493\/5178*12\/(-99).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (12\/14)\/((-2)\/(2 - 16)) and 132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4192457?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 119850258911 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2739, -4346, -5953?\n\"Answer: -1607*f - 1132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pm when two letters picked without replacement from plmpplt?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10001024 - -12?\nAnswer: 10001041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -229 + 7*w + 229.\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((640\/(-25))\/8)\/(1\/135). What is the least common multiple of (3\/8*14)\/((-162)\/v) and (2\/(-5))\/((-1)\/30)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 21 (c) 107 (d) -4 (e) -0.1 (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*t + 5 = 0, 4*j - 2*t - 1 - 5 = 0. Suppose -3*m + v = -j*v + 3621, -4*v + 2412 = -2*m. Let c = -489 - m. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1460*s - 3065*s - 4254*s = 579414 for s.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 24.39 from -5.\nAnswer: -29.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = f - 2*j + 1, 0 = -3*f + j + 6 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -184*f**2*l - 69*f**2*t**2 - f**2*t - f*l*t - 2*l*t**2 wrt l?\nAnswer: -184*f**2 - f*t - 2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 take away 700.30103003?\nAnswer: -391.30103003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3496 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*g - 4*f + 2*f, -g = -4*f - 5. Let n = g - 5. Calculate the remainder when 10 is divided by -1*(n + 2*-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 154*a**2 - 265*a - 83. What are the prime factors of j(15)?\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 14*g**2 - 3*g. Let i(j) be the third derivative of j**4\/4 - 792*j**2. What is i(u(r))?\nAnswer: 84*r**2 - 18*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1\/238 - -101\/238. What is the third smallest value in b, 0, -0.11, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*w = 62*w - 24. Let z(q) = -9*q**3 + 4*q**2 - 4*q - 3. Let d(r) = -8*r**3 + 5*r**2 - 5*r - 4. Calculate w*d(y) - 5*z(y).\nAnswer: 13*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + 20c28cc?\nAnswer: 20c2903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -120 at least -119?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -7*r**3 - 4*r**2 - 3*r + 1. Let j be u(-3). Let v = -179 - -101. Let p = j + v. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30522 and 330655.\nAnswer: 1983930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 227 - 31 = 14*t. What is the highest common divisor of 448 and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 3*n + 6. Let u be h(5). Let v = 111 - u. Suppose 9*m = 4*m + v. Calculate the highest common divisor of 90 and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.148346 centuries in millennia?\nAnswer: 0.9148346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14550 divided by 115?\nAnswer: 2910\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 13 + 7. Let m(z) = -2*z + 3. Let p be m(r). Let w(l) = -l**3 - 5*l**2 + 2*l + 7. Determine w(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 b when two letters picked without replacement from {g: 1, j: 2, b: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1272 + 1035. Let u be h\/2 + (-1)\/(-2). Suppose 4*c - u = -c - 2*o, 0 = 4*c - 3*o - 937. List the prime factors of c.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/(-10) + (-1 - -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -6921, -0.12, 0.02?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, q: 4, u: 1, p: 7, w: 1, j: 4}. Give prob of sequence qj.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2\/59, -3\/2, -2, 0.24.\nAnswer: -2, -3\/2, -2\/59, 0, 0.24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 5:27 PM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 1, -616, 0, 5, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -5 - 2 - -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 179296662*r**3 - 192825285*r**2 wrt r.\nAnswer: 1075779972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 - -1. Suppose 4*h - b = -3. Is h a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 811 a factor of 362654870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -2*q + 12. Factor 14*j - 14*j**3 - q*j**2 - 14*j.\nAnswer: -2*j**2*(7*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 4491.974 centuries?\nAnswer: 449.1974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.844181 grams to nanograms.\nAnswer: 6844181000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6acc + -5?\nAnswer: -6b04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -10, 3*s + 2*y = -2*y + 65. Suppose s = 2*c - 35. Is c a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -837.01 + -0.09?\nAnswer: -837.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qdq when three letters picked without replacement from {d: 5, t: 5, e: 4, i: 2, q: 3, b: 1}.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134735 - 290*s - 134735.\nAnswer: -290*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -z - 2*l, -7 + 2 = -z - l. Suppose z*p - 8 = 27. Find the second derivative of s**5 - 7*s**2 + p*s**2 + s wrt s.\nAnswer: 20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 778797889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 240 and 120?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1626413332?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3365?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -33*r - 3. Suppose 0 = i - 0*i + 5. Let x be v(i). Calculate the highest common factor of 18 and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 1 - 19 = 0. Let c(q) = -q - 3. Let t be c(-7). Let k be (-78)\/t*8\/(-12). Solve -u - u - 25 = -5*p, k = -5*u - g*p for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -12, -5, -52.\nAnswer: -52, -18, -12, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -143436763, -286873522, -430310279, -573747034, -717183787, -860620538?\nAnswer: -1004057287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(m**4 + 3*m**2 - 3*m**2) + 37*m**4 + 16*m**4 - 26*m**4.\nAnswer: 28*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29\/116 + (-30475)\/(-20)?\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/11 + 27158*k\/11 - 69272.\nAnswer: 2*(k - 28)*(k + 13607)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -186, 31, 9, 3 in decreasing order.\nAnswer: 31, 9, 3, 2, -186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 185850 or 185811?\nAnswer: 185850","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let z be 915\/(-12) + (-3)\/4. Let i be (5 + z)*2\/(-6). Suppose -3*p + a + 13 = -4*a, 5*a - 5 = 0. What is the highest common divisor of i and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1311, 4300, 7289, 10278, 13267, 16256?\nAnswer: 19245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*c - 94*c**2 + 58*c**2 + 170*c**2 + 201*c**2 in the form o + w*c + b*c**2 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -20 + -9 + 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of w**4\/4 - 2*w**3 + w**2\/2 - 6*w + 1. Let y be (-1)\/(1 - 0) + 7. Let t be k(y). Do t and 1\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31 + -31. Suppose -5*s = -2*f - 2, 0 = -k*s - 4*s - 2*f + 16. Suppose 3 + 2 = c, 4*z + 5*c = 37. Solve 3*h = -s*h - t + 11, z = h + t for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of z**4\/12 - z**3\/2 - 3*z**2. Let h be w(3). Let n(i) = 2*i + h*i - 3*i + 6*i. Let j(g) = -2*g**2. Calculate j(n(k)).\nAnswer: -128*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/791?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 29 = -4*m, -a = 5*m + 37 - 15 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 z when three letters picked without replacement from gzccccfcziic.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 3*h = -0*z - 9, 5*h = 2*z - 37. What is the second derivative of -z*t**3 - 2*t**3 + 7*t**3 - 5*t wrt t?\nAnswer: -6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 + 46*f - 511. What is the remainder when 53 is divided by h(26)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1625\/13172 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28112*n**2 + n**3 - 28112*n**2.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12612?\nAnswer: 2, 3, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -16aa33 (base 13) to base 7\nAnswer: -4546125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 5 + -2 - (0 + -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5873 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 + -9. Suppose 240 = 16*i - r*i. Is i a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h**3 - 4*h**3 + 4*h**2 - 6*h**2 - 2 + 4 + 4*h. Let j be q(-3). What is the tens digit of (-3480)\/(-105) - j\/(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 1:36 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 39115 * -376\nAnswer: -14707240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**4 - 84*l**3 + 1130*l**2 - 1908*l.\nAnswer: -2*l*(l - 9)*(l - 2)*(l + 53)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2296 and 4485187?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -53724 divided by 444?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-64)\/192)\/(1\/(-15)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 55*v**3*y + v**3 + 2*v**2*y - 20*y - 3 with respect to v.\nAnswer: 165*v**2*y + 3*v**2 + 4*v*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/847 and 46\/298991.\nAnswer: 298991","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 5*a**2 - 7*a - 5. Suppose 0 = 2*n + 8. Let u(b) = -2*b**2 + 3*b + 2. Let h be ((-4)\/(-6))\/((-4)\/18)*3. What is h*u(j) + n*g(j)?\nAnswer: -2*j**2 + j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 + 2)\/(-1) + 3. Suppose -r*x = -4*b, 5*x + 3*b = -0*x + 40. Suppose 2*h - x*h + 30 = 0. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 1278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1872312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3*t. Let l(s) = 56976636*s. What is l(i(z))?\nAnswer: 170929908*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -25865*1\nAnswer: -25865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 125*u**2 - 390*u + 3227. Determine p(122).\nAnswer: 299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 b, and 2 t when four letters picked without replacement from {s: 1, b: 4, t: 6}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/20 + 294\/5. Suppose -h + o - 48 = 6, 0 = 4*h - 5*o + 213. Let l = h + f. Solve 0 = -r + l*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of -i**3\/2 - 2*i**2 - 3*i. Let q be f(-4). Suppose 4*s = -q + 44. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - a - 3 = 9, 90 = 5*c + 5*a. Solve -2*m + 3*x = c, m - 22 = -5*x - 10 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 267271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a kilogram in grams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/z**(-2\/3))\/z)\/z)**(4\/9)\/(z**(-3)\/(z**9\/z)) assuming z is positive.\nAnswer: z**(293\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 3*y = -14, 2*h - 3*y + 6*y - 4 = 0. Let c(s) = s**3 - 5*s**2 - s + 8. Let n be c(h). Factor 0*i**n + 1\/2*i**4 + 0*i + 0 - 1\/2*i**2.\nAnswer: i**2*(i - 1)*(i + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h**2*r + 116*h**2 + 37*h*r + 3 wrt h.\nAnswer: 4*r + 232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1873241 is divided by 50.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 18. Solve 0 = 4*g - b - 4*b - 13, 5*g + 3*b = v for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40812)\/(-795834) - (659\/(-2613) + 1\/3).\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, -7\/3, -3, -6716, -4 in descending order.\nAnswer: 4\/7, -7\/3, -3, -4, -6716","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 386*d**2*n**3 + 1080*d**2*n**2 - 2*n**6 wrt n?\nAnswer: 2316*d**2 - 240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 55908 and 666.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + -1110244?\nAnswer: -1110243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -78 + 0*p**2 - 2*p**2 + 79 - 2*p**2. Let t be y(-1). Is 22\/(t - (-190)\/62) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*s = 11730 - 135755. What is the thousands digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z**5 + 5*z**5 - 1 - 4*z**5 + (4 - 4 - 2*z**4)*(0*z - z + 0*z) - 2195*z**4 + 149*z**5 + 2195*z**4.\nAnswer: 149*z**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 62\/11*p**4 - 128\/11*p**3 + 70\/11*p**2 - 4\/11*p + 0.\nAnswer: 2*p*(p - 1)**2*(31*p - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20873 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 26137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(2\/21)\/g**6*(g\/(g*g*g*g**0)*g)**(-9\/4)*(g*g*g**11\/g*g*g*g**(-6)*g)**39 assuming g is positive.\nAnswer: g**(29177\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-13) - ((-7080)\/585)\/(-8)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 10:55 PM?\nAnswer: 8:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -57 in -15\/8, -417, 1?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -344 + 149. Let k = 205 + c. Calculate the least common multiple of k and 368\/20 - (-2)\/(-5).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -5*m - 4*x, -194*m - 3*x + 33 = -199*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -453*b = 10828 + 2309 for b.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-76)\/38)\/(4\/10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 98 + -71. Calculate the remainder when 80 is divided by x.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(3\/4)*q*(q*q\/(q\/(q*q**33*q)))\/q*q assuming q is positive.\nAnswer: q**(151\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 563, 758, 1263, 2234, 3827, 6198?\nAnswer: 9503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.6866 + 0.0366. Round s to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n + 3. Let k be o(4). Suppose -w = -5*l - 17, -l + 2*w - 16 = 6*w. Let m = -8.1 - -8. What is the closest to m in k, l, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of b**7\/2100 - 7*b**6\/600 + 3*b**5\/50 + 13*b**4\/3 + 4*b. Let x(z) be the third derivative of n(z). Factor x(q).\nAnswer: 6*(q - 6)*(q - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (3\/1)\/(8\/50) and 63\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*1*((-223)\/(-32112))\/(4\/(-24)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10807859 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/71 + (-402753)\/21229?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-4\/3))**(-44))**(3\/7) assuming z is positive.\nAnswer: z**(-44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -101101100100110111111 (base 2) in base 3?\nAnswer: -2210212121120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -181884502 and -0.1?\nAnswer: 181884501.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -234980 rounded to the nearest 1000?\nAnswer: -235000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (3 - (-3 - 6) - (-364 + 351))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 - -1. Suppose w*t - 13373 + 2117 = 0. What is the hundreds digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136262595?\nAnswer: 3, 5, 7, 1297739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-7)\/(-4))\/((-129)\/(-86) - 15\/12). Suppose o + 1 = 2*k - 13, -4*k - 3*o = -28. What is the highest common factor of k and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5964208 >= 5964273?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = 35*t - 30*t + 37, 0 = -5*t - 4*g - 43 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(648)*-1 + -3 + 1.\nAnswer: -18*sqrt(2) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 2*w**2 - w - 4. Let f(u) = 55*u + 55. Let o be f(-1). Let l be c(o). Let m(x) = x + 1. Calculate m(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1396*u**3 + 3 - 3 + 1382*u**3.\nAnswer: -14*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 95 and 48643895.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(((-92)\/(-96) + -3*(-16)\/(-48))*-2)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*j**4*n + 4034*j**4 - j**3 + 22*j**2*n + j*n + 9 wrt j?\nAnswer: -48*j*n + 96816*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34076 is divided by 480?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112112101 (base 3) to base 9.\nAnswer: 15471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**2 - 14*j + 20. Let q be h(9). Suppose 0 = 4*v + 2*n - q, 18 = -3*v - n + 62. Calculate the remainder when 61 is divided by v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -627000 to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6*u + u + 3*u)*(-5 + 1 + 3) + 0*u - u + 0*u + (-4 - 4 + 5)*(-u + 2*u + 0*u))*(1 - 8 - 27).\nAnswer: 68*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of 7*h**4\/24 + 3*h**3\/2 - 27*h**2. Let d(u) = 15*u + 19. Let r(l) = 5*l - 7. Let c be r(4). Determine c*m(j) - 6*d(j).\nAnswer: j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121 = 3*a - 4*q, -a = -0*a - 3*q - 47. What is the remainder when a is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -3*o. Let c(i) = -661*i**2 + 2*i + 2. What is v(c(w))?\nAnswer: 1983*w**2 - 6*w - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 14 + 0 + (-51 + 47 - 22)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1630491 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = l, -109*t + 111*t = -2*l + 6 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*o + 19*o - 4 = 0. Find the third derivative of -o*u**6 + 18*u**2 - 13*u**2 + u**6 wrt u.\nAnswer: -360*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15228 times -0.1\nAnswer: -1522.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pn when two letters picked without replacement from {n: 3, o: 1, p: 4, v: 1, t: 4, a: 1}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6051 - 31341 = 4*o - 49*o. Calculate the remainder when o is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/4339230 and -27\/232.\nAnswer: 503350680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 9 (b) -0.3 (c) 5 (d) -3 (e) -0.05\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + 6*u - 7. Let d = 21 - 31. Let v be i(d). Let s be (-1)\/(129\/v + -4). Calculate the greatest common factor of s and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -10*h - 120. Let c be h\/(-32) - (-60)\/(-32). Put 0, -0.5, c in increasing order.\nAnswer: c, -0.5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of h**6\/120 + h**5\/30 - h**4\/8 + 2*h**3\/3 + 3*h**2\/2 - 3*h. Let l(k) be the first derivative of o(k). Determine l(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**4\/4 + 728481*a**3 + 471676384305*a**2\/2 + 25440726680310249*a - 9064373049884923533\/4.\nAnswer: 3*(a - 89)*(a + 323799)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 76402 to the power of 1\/2, to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.165635 seconds in microseconds?\nAnswer: 5165635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -35, -73, -127, -197, -283?\nAnswer: -385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -28? (a) -11 (b) 934\/13 (c) 4 (d) 2\/5 (e) 2 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/15 - 84972*z\/5 - 254918\/15.\nAnswer: 2*(z - 127459)*(z + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2072294?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 146 + -104. Suppose 0 = -g*j + 37*j + 1145. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, s: 4, j: 6}. What is prob of sequence rsss?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 588\/7 + ((-49061)\/(-639) - 77 - (-47)\/9)\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of -3*j + 0 - 2\/3*j**3 - 1\/2*j**2. Differentiate l(b) with respect to b.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(102)*1)\/sqrt(6) - ((sqrt(2448)*1 - sqrt(2448) - sqrt(2448)) + 5)**2.\nAnswer: -2473 + 114*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 520564?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 3:33 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*-3*sqrt(36) - sqrt(36))*-6)\/((sqrt(144)\/sqrt(4))\/sqrt(3) - ((sqrt(12) - sqrt(48))*-4 + sqrt(12))).\nAnswer: -39*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, a: 1, g: 1, m: 4, i: 9}. What is prob of sequence mim?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - -2*(-3)\/(-6). Let j be o\/(3*(-2)\/(-3)). Solve -5*q - 35 = 3*f, 5 = 3*f - 5*q - j for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + (-49)\/(-14)*(-20)\/(-14). What are the prime factors of -2794*(w + 68\/(-8))?\nAnswer: 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 1)*(-2*l + 0*l - 3*l).\nAnswer: 20*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.154995 rounded to two dps?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (2\/24)\/(6\/(-16))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of 0 - 222*z**2 + 0*z + 1\/8*z**4 - 1\/15*z**5 + 1\/2*z**3. Let g(q) = 4*q**2 - 4*q - 4. What is -3*g(y) - 4*h(y)?\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (190222 + -4)*(8 + -6). Is ((-9)\/(-6))\/((-7)\/(h\/(-18))) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 224876?\nAnswer: 2, 17, 3307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10719.03 and 540.\nAnswer: 5788276.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - s + 79769 - 16965, -62816 = -4*w - 4*s. What is w rounded to the nearest 1000?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-18))\/(4\/(-36)*6)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28 - -39. Suppose 0 = 3*a - s*a. Solve a = -2*b - q - 11, -5*b + 3*q - 13 = -2 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of -7*t**5 - 13*t**3 - 21. What is the third derivative of l(j) wrt j?\nAnswer: -840*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, d: 4, u: 1, z: 4, m: 1, g: 2}. What is prob of sequence db?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44 and 451.\nAnswer: 1804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-32)*(-733)\/(-3). Let r = 11\/48 - x. What is the common denominator of (-2220)\/180 - (-10)\/12 and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dy when two letters picked without replacement from {f: 1, d: 2, y: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1180)\/(28\/7) - 9\/(-3). Let c = 398 - a. Calculate the highest common factor of c and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 317071264771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -204 and -583597.\nAnswer: 119053788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16.8459 * 171.\nAnswer: 2880.6489","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8*d**2 + 174*d + 4721 wrt d.\nAnswer: -16*d + 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 12 = -3. Let l be (0\/(-14))\/(-5 - -9). Sort -9, l, q, -1 in decreasing order.\nAnswer: q, l, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -40532572 or -40532577?\nAnswer: -40532572","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3 = -1. Let z = x + 6. Calculate the least common multiple of (-414)\/(-21) - 8\/(-28) and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/360*3*6\/4\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/110 and 47\/792?\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -856177?\nAnswer: -856181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/8 of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*n**5\/7 + 30258*n**4\/7 + 3571242*n**3\/7 + 100245534*n**2\/7 - 244555236*n\/7 - 123143856 = 0. What is n?\nAnswer: -59, -2, 4, 5159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -1218 + 1213. Let w(b) = -3*b - 3. Let a be w(-2). Suppose a = 4*q - 1. What is the greatest common divisor of g and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a week in minutes?\nAnswer: 32760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*i + 71*i = 0. Suppose i*s + 2*u = 5*s - 24, 5*u + 2 = -2*s. Let c = 3.5 + -4. What is the nearest to 1\/7 in s, -0.4, c?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*0*4\/(-16).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 712263?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of -h**5\/10 + 15*h**4\/2 - 161*h**3 - 529*h**2 + 522*h. Solve f(o) = 0 for o.\nAnswer: -1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5750 + 2407.\nAnswer: 8157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 20*n = -22198. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -23*s - 6. Let f be n(-7). Let p = f + -93. Calculate the remainder when p is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7, 40, 111, 206?\n\"Answer: 12*p**2 + 11*p - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*(-5)\/(-30)*-2*7. What are the prime factors of -1 + -1 + 98 + -7 + t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 47513.37 years?\nAnswer: 47.51337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.8 - -66.9.\nAnswer: 73.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 93, 192, 293, 396, 501, 608?\n\"Answer: m**2 + 96*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/30 - (38\/(-20) + 14 + 3 + -16)\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*h + 16*h - 332 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -73 and -5.73?\nAnswer: 67.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1379a41 (base 11) to base 6\nAnswer: -122450123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/((sqrt(4) - sqrt(36)\/(sqrt(27)\/sqrt(3))) + sqrt(4)) + (-2*(2 + sqrt(13) + sqrt(13)))**2 + -1*sqrt(13)*2.\nAnswer: 31*sqrt(13) + 224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 - 5*q**2 + 7*q - 7. Let p(v) = 2*v**3 + 14*v**2 - 20*v + 20. Let k be (1 - 6\/(-6)) + 15. Let j(r) = k*z(r) + 6*p(r). Give j(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 + 3*l + 2. Suppose -3*m = -5*m + 4. Suppose -g + m*v - 11 = 0, -v + 0*v - 8 = 4*g. What is k(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26396459?\nAnswer: 67, 393977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53929 = 4*g + 5*d - 236, 3*g = -5*d + 40630. List the prime factors of g.\nAnswer: 5, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166*q + 146*q + 100 = 0. Suppose q*x + 2*g - 1119 = 10*x, 0 = -x + 5*g - 210. Which is smaller: -227 or x?\nAnswer: -227","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1109 - 221. Let d = 888.523 - i. Let y = 0.55 - d. What is y rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000979767 to four decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -31*v**2. Let a(j) = 6*j**2. Calculate a(d(r)).\nAnswer: 5766*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 10 = 4*t, 0*t = t - 2*g + 1 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 53805157 + 132151095 = 0. Let y = 68489063 + l. Round y to the nearest one million.\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 677.\nAnswer: 5\/677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9597.759ug to kilograms.\nAnswer: 0.000009597759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3*b**2 + 38*b - 283. Let w be t(7). What is the highest common factor of w and 2262?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/115 (b) -119\/6 (c) -2\/21 (d) -2\/7 (e) 1 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 plus 2271.114?\nAnswer: 2281.114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -45848.8 and 3?\nAnswer: -137546.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-108)\/14)\/(6\/(-112)). What is the hundreds digit of (d\/28)\/(2\/1484*4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -324514 (base 8) to base 2\nAnswer: -11010100101001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (301\/(-22) + 92\/506)\/((-12)\/(-16))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ucvhuhcuuuhvhcuuu. What is prob of picking 1 u, 2 c, and 1 h?\nAnswer: 24\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60771 - 60771 + 17*m.\nAnswer: 17*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/16 of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4120.842 - 4124. What is c rounded to 1 dp?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 158*v**2 + 2137*v + 1065. What is k(-13)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7\/25 of a micrometer?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (81 - 96) + 13 + 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + 12. Let s be -1 + 2 - (-15)\/q. Let y be ((-120)\/36)\/(s\/(-6)). Which is smaller: -2\/3 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -84 divided by 14\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 6*l**2 - 3*l + 1. Let m be o(9). Let q = -7822\/17 + m. What is the nearest to -2\/5 in -5\/4, q, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -118*r**5 - 2*r**4 + 27*r**3 + 15846*r + 1 wrt r?\nAnswer: -2360*r**3 - 24*r**2 + 162*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*0.523.\nAnswer: -3.138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 e when four letters picked without replacement from sseesseegeseeeesese.\nAnswer: 55\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 80*a - 302 - 338 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2)*w*w\/(w**(2\/91)\/w*w)*w assuming w is positive.\nAnswer: w**(89\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23086?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of i**3 - 12441*i**2 + i - 2888357?\nAnswer: 3*i**2 - 24882*i + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 3:44 AM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -480 + 490. What is the remainder when l is divided by (-2)\/(-4) + 3\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 2*g = -13, -2*c + 0*g + 2*g = -4 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 1:18 PM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*i**3 - 16*i + 561*i**3 + 16*i.\nAnswer: 472*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/36450 and -89\/58320?\nAnswer: 291600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-42)\/(-8) + (-9)\/(-12). Suppose i + 2*i = -4*b + 38, 4*i + b - 68 = 0. Calculate the greatest common divisor of x and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 308*t - 301*t - 14 = 0. Solve 5*g - 5 = 0, 0*z + t*z + 4 = -2*g for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = i - k - 14, -3*k + 13 = 2*i. Suppose 6*u + i = 23. Suppose 4*v = u + 9. Sort v, -5, 5 in descending order.\nAnswer: 5, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11627 (base 16) to base 13.\nAnswer: -26546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10052 is divided by 347.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1)*(2*l**2 + 5*l**2 - 3*l**2).\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.876 rounded to 0 decimal places?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-1) + 2 - 0. Suppose -2*s + 24 = h - 3*s, h = -s + 16. Solve 1 = -2*z - 2*k - 3, o = z - 5*k + h for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*f**3 - f - 19*f**4 + 18*f**4 + 0*f + 2 to the form y*f**3 + t*f**4 + k*f**2 + i + o*f and give y.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 5*k + 1. What is z(15)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30803.\nAnswer: 30803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from hshsss.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3*(18\/12)\/(27\/78)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.1, -4, 0.06, 2.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 205 - 205 + 0*k + 3*k.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 - 5*c + 1. Let b be o(-4). Suppose -5*m + 24 + 1 = 0. Suppose -m*d = -b*z - 10, -5*z = 5*d - z - 37. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 3827685.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.320635675 take away 3?\nAnswer: -26.320635675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -3*j**3 + 3*j**2 - 5*j - 1. Let v(r) = -8*r**3 + 10*r**2 - 14*r - 4. Let b(l) = -11*s(l) + 4*v(l). Give b(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*f + 8*f - 9*f**2 + f**2 as y*f**2 + n*f + a and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (16 + -7 - 0)) + -5 + -9?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2*o = 4 + 17, 5*j = -5*o - 35. Let c = j - -1. Let p be (-27)\/c - 2\/4. Let b(w) = -w**3 + 5*w**2 - 5*w. Calculate b(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1273365 and 19241960.\nAnswer: 173177640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-2))\/(2*1*206\/(-1236)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2043776 (base 8) to base 13.\nAnswer: 160047","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10427?\nAnswer: 10427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2 + 12*j - 36.\nAnswer: 3*(j - 2)*(j + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -16*p + 14*p + 2, -4*p - 3*f + 22 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p. Let r(s) = 158438*s. Determine j(r(x)).\nAnswer: 316876*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/107559 and -127\/456?\nAnswer: 860472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -209*z**2 - 466. Let f(v) = 699 + 101074*v - 101074*v + 313*v**2. Let j(a) = -7*c(a) - 5*f(a). Find the first derivative of j(q) wrt q.\nAnswer: -204*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -587299*d*j**3 + 2239*d*j + 85*j wrt j?\nAnswer: -3523794*d*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/2)\/((-6)\/(-12)). Let i be (-4)\/(-2) - (2 - g). Let x be 1 - 2\/(i\/(-1)). Solve x - 16 = -3*o + q, 2*q + 23 = 5*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from {b: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 506 and 15482.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**5 + 7*z**5 + z + 3*z**5 + (2*z**2 - 2*z + 2*z)*(6*z**3 - 4*z**3 - 3*z**3).\nAnswer: 7*z**5 + z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(132\/(-12) - -12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-104)\/(-26)*(-4)\/(-64).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38555381000 rounded to the nearest one million?\nAnswer: -38555000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -8*k - 11. Let m be l(-10). Suppose -m = 5*h + 191. Let d = h - -76. Solve 5*b + 1 - d = -2*q, -3*q + 24 = 4*b for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -7*c**2 - c + 59. Let q be s(0). Let b(u) = 28*u - q*u + 37*u. Let v(t) = 8*t**2. Determine v(b(f)).\nAnswer: 288*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**(-1\/8))\/r*r*r)\/r*(r\/(r\/(r*r**(-7))))\/r)\/((r*r\/(r\/r**(-4)))\/(r\/(r*r\/r**(-1\/7))*r)) assuming r is positive.\nAnswer: r**(-169\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1471352039?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 less than -254596977.4?\nAnswer: -254596970.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 53914?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27 and 65940?\nAnswer: 593460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1231 - -16123243?\nAnswer: 16122012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**4\/11 + 10*p**3\/11 - 6*p**2\/11 - 18*p\/11.\nAnswer: -2*p*(p - 3)**2*(p + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 89 + -167. Let p = -2.5 - a. Let c = 75 - p. What is the third biggest value in 3, c, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 4:04 AM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 378 and 30?\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/3)\/v)\/v**(-7)*(v**0)**(2\/19) assuming v is positive.\nAnswer: v**(19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/7 - 40414*f\/7 - 807480\/7.\nAnswer: -2*(f + 20)*(f + 20187)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 4525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i + i**4 - i + (-31*i**3 + 21*i**3 + 24*i**3)*(-1 + 1 + 2*i) to the form d + f*i**4 + r*i + n*i**3 + u*i**2 and give f.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4067 and 535204999?\nAnswer: 4067","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 101811, 103276, 104741, 106206, 107671?\nAnswer: 109136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.34743076 to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*v + 0)*(-2 - 3 + 1)*(-v - 2*v - 10*v).\nAnswer: 104*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/3 - 9\/(-27). Let h(b) = -b**3 + b**2 - 4. Let c be h(x). Does 5 divide (-3)\/(18\/c)*15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 0 + 4 = 0. Let j(y) be the first derivative of -5*y**4\/2 + y**3\/3 - y**2\/2 + y + 2. Calculate j(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 486923\/22 - 22133. Which is the closest to -0.7? (a) q (b) -7 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -17. Is (-106)\/(d\/(-2) - -2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -q**4\/5 - 6*q**3\/5 + 12*q**2 - 136*q\/5 + 96\/5 = 0.\nAnswer: -12, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 5*k + 2 + 6, 5*o = -4*k + 10. Let q be (3 + -2)*4\/o. Suppose 4*j = 3*j + q. Which is bigger: j or 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16562017 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -5, -13104 in ascending order.\nAnswer: -13104, -20, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 103307, 2 in descending order.\nAnswer: 103307, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.24 less than or equal to 1.778?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 143596 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, -1, -300, 13, 7, 3 in descending order.\nAnswer: 47, 13, 7, 3, -1, -300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34 and 612.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -71 - 105. Round i to the nearest 10.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*s + 230 = 113*s - 4758 for s.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 - (2 - 2))*(-2 + -88). Suppose -40*m = -43*m - d. Round m to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**14)\/(u**(-3\/22)*u)*(u*(u\/(u*u\/((u\/u**23*u)\/u)))\/u)\/(u\/(u*(u\/((u*u*u**11)\/u))\/u)) assuming u is positive.\nAnswer: u**(-459\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 87 or 612\/7?\nAnswer: 612\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (3 + -3) - 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1732741636 to the nearest integer?\nAnswer: 1201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 860, 3289, 5718, 8147, 10576?\nAnswer: 13005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/7))**(29\/5)\/((q**(-3\/10)\/q*q)\/q*q\/(q\/q**28)*q))**(4\/17) assuming q is positive.\nAnswer: q**(-3994\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170)*2)\/sqrt(5))\/((sqrt(72) + (sqrt(72) - 1*sqrt(72)) - sqrt(2)) + sqrt(2)).\nAnswer: sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/2 or 0.5?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1742?\nAnswer: 2, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**4 - 6*y**4 + 8*y**4)*(-1 + 5 - 2) + (-y**2 + 3*y**2 - 3*y**2)*(3*y + 2*y**2 - 3*y) + 2*y + y**4 - 2*y.\nAnswer: 9*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 269 - 266. Let s = -2 - -6. Let n = s - 3.8. Which is the nearest to 1\/4? (a) 0 (b) l (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of o**3\/3 + 13*o - 2. Let m be l(3). Calculate the highest common factor of 22 and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 483991 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0)*(-2*s**4 + 2*s**4 - 2*s**5 + (-4*s + 2*s + 4*s)*(-s**4 + 4*s**4 - 4*s**4) - 2*s - 3*s**5 + 2*s).\nAnswer: 14*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1331 or 496?\nAnswer: 1331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99029487?\nAnswer: 3, 33009829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -382, -3 in decreasing order.\nAnswer: -3, -7, -382","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + j**2 + 17. Let b be l(0). Let k be b + -2 + -1 + 2. Let d = 8 + k. Does 8 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, 2\/9, 0, -1\/3, 11\/2, -3876?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -165 - -174. Suppose 0 = 6*c - j*c + 5847. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (33\/1)\/(8 + -3 - 6). What is the tens digit of 34530\/66 + 3\/(m\/2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -4*n + 10. Let s(j) = -16*j - 1. Let k be s(-2). Let f = k + -39. Is 7 a factor of b(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 4620.149cm?\nAnswer: 46201490000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 + 4*j + 1. Let g be i(4). Let x be (1 - g) + 16\/4. Let t(v) = -1. Let p(b) = -3*b + 5. Let m(a) = p(a) + 2*t(a). What is m(x)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of -m**4\/12 + 25*m**3\/6 + 13*m**2 - 11*m - 1. Factor o(w).\nAnswer: -(w - 26)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**3 - 6640*p**2 - 93872*p + 214272.\nAnswer: 4*(p - 1674)*(p - 2)*(p + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 10, 481, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 y when three letters picked without replacement from hyyy.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 56 and 69680184?\nAnswer: 69680184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 624961 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-s**3 + 2*s - 2*s + (0*s**2 - 4*s**2 + 2*s**2)*(2*s + 0*s - s))*(6382 + 7685 - 2001 - 907) in the form v*s**3 + p + y*s + u*s**2 and give v.\nAnswer: -33477","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1768678?\nAnswer: 2, 887, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 4889142?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 - 11*g - 5. Suppose v - 48 + 14 = 0. Suppose t + v - 9 = -5*j, -5*t - 35 = -5*j. Is n(t) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3419814477?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*n + 1721 + 148 = 0 for n.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = 2*a + 44, 0 = 6795*i - 6796*i + 2*a + 36 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 867 - 867.5. What is the closest to 0.01 in -3, j, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 820 and 1305?\nAnswer: 214020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -7. Let k = 0 + i. What is the closest to 0.2 in -2\/7, k, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1532 (base 6) to base 12.\nAnswer: 2a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 168 - 105. Is n at least 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1387488 and 15609240?\nAnswer: 62436960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8181\/126*60 - (-12)\/42?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = -4*y - 102. Let s = y + -29. Suppose 3*h = 4*p - 7*p + 201, 2*p - s*h - 141 = 0. Is 16 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*b + 276 = -2*r, 0 = -4*r + 2*b - 368. Let y(n) = 5*n - 23. Let q be y(-5). Let p = q - r. Is 24 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + 6*k**2 - 4*k - 1. Let g be s(5). Suppose -q + 45 = 5*j - j, 0 = g*q - 2*j - 144. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 119*l**2 - l + l.\nAnswer: 119*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26185?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 234, 469, 702, 933, 1162, 1389, 1614?\nAnswer: 1837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4.25748, -11, -5?\nAnswer: -4.25748","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -423*k + 496 = -361*k. Solve 3*s - 6 = 2*c, 3*c + 4*s - 8 = k*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(17) + (sqrt(153)*-2)\/sqrt(9).\nAnswer: -sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -14.26*1303\nAnswer: -18580.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2, -1\/2, -1, -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-16)\/10)\/((-40)\/100). Solve 2*s + 3*b + w + 3 = 0, 0 = 3*s - 3*b - 27 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -20, 5, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/21 of a week?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (21\/(-4) - -4)\/((-4)\/16). Is u <= 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1155, 1810, 3563, 6966, 12571?\n\"Answer: 92*c**3 - 3*c**2 + 20*c + 1046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -666, -4692, -12080, -22830?\n\"Answer: -1681*i**2 + 1017*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 384\/9 - (-1)\/3. Let v = 125\/3 - d. Sort -3\/5, v, -4\/5 in descending order.\nAnswer: -3\/5, -4\/5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m - 3. Let l be w(-3). Suppose -223 = -l*d + 77. Suppose 5*a = -3*x + d, -4*a - 30 + 188 = 5*x. Is x a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2719?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-492813)\/(-33264) - 15 - 4\/(-22). Which is smaller: i or 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -784 from 35240131207.\nAnswer: 35240131991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, d: 6, n: 4, z: 3, q: 1, a: 4}. Give prob of picking 1 a and 1 q.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of 3*i**5\/5 + i**4\/4 - 86*i - 9. Suppose 0 = -d + 10 - 5. Let c(k) = -18*k**3 - 4*k**2. What is d*c(u) + 7*a(u)?\nAnswer: -6*u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -4*z**2 - 313*z - 160. What is the thousands digit of m(-69)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -80695284 - -131375288. Suppose -5*r = 10, r + k = -4*c - r. What is c rounded to the nearest 1000000?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -4*d + 41, 0 = l + d - 7 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4335 or -4314?\nAnswer: -4335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8\/(-70))\/(8\/(-20)). Let s = -774 - -6976\/9. Let k = s - 8\/9. What is the nearest to k in 3\/7, 3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - 710\/(-6))*3\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4211?\nAnswer: 4211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11585*g**4 - 47*g**2 - 2*g - 14 wrt g?\nAnswer: 278040*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(3) - (sqrt(3) - (sqrt(108)*3 - sqrt(3)))) + sqrt(3)).\nAnswer: 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/105)\/((-360)\/(-350)).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8632 = 106*j + 294*j - 8968 for j.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, q: 3, v: 4, k: 3}. What is prob of sequence kq?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -470 + -150110?\nAnswer: -150600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j*j**1*j))**23*(j*j**(3\/5)*j)\/(j*j\/j**6) assuming j is positive.\nAnswer: j**(-312\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -68*x + 59*x. Suppose -4*g + 220 = -x*j, 5*j - 195 = -4*g + 4*j. Calculate the smallest common multiple of g and 18.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32 + -17. Let v = -11 + j. Suppose 2 = c, -5*h + 55 = -v*c - c. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -996*n + 284. Let r be f(-1). What is the greatest common factor of r and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*3 - (16 + -11). Let g(s) = -34*s + 1. Calculate the remainder when g(d) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11421 + 13?\nAnswer: -11404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 195429379?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1139?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 77 - -3?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39101525 and 526?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3750 or 52487\/14?\nAnswer: 52487\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s + 8*s + 3*v - 18 = 0, -5*s + 45 = -10*s + 5*v for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -12*x**3 + 2*x - 5. Let h(t) = 2756 - 5536 + 2779. What is 3*h(d) - z(d)?\nAnswer: 12*d**3 - 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40 (base 10) to base 8.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1207 a factor of 76325852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 855745?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*b**3*j**3 + 2*b**3*j - 7*b**2*j**2 + b*j**5 + 6*b*j + 3*j**4 wrt j.\nAnswer: -96*b**3 + 60*b*j**2 + 72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16885\/66 + (12\/(-4))\/(-18).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1158.1 to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z + 22. Let x be d(13). Suppose 37 = x*s - 566. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1174*a + 32*a**2 - 1174*a)*(9 - 5 - 7)*(0*a - a + 2*a)*(-3*a + 2*a - a).\nAnswer: 192*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**4 - x**4 + 4*x**4)*(2*x + 3*x - 6*x) - x**5 + 3*x**5 - 4*x**5 + 15012*x**3 - 153*x**2 + 10*x**5 - 15012*x**3.\nAnswer: 7*x**5 - 153*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-1))\/(o\/(o**(-3\/7)\/o)))**(21\/5) assuming o is positive.\nAnswer: o**(-9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 at most 38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 44778765 to the nearest integer?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggvvgvgxwgxgvgvgv. Give prob of picking 1 v and 2 g.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183161354 is divided by 61053783.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 3*k = -16 - 74, 4*a - 4*k - 104 = 0. What is the highest common factor of a and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5673?\nAnswer: 3, 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/9, 0.4, -16, 5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of 179*c**4\/12 - c**3\/6 + 3*c**2\/2 - c. Let w be i(-2). Suppose -5*x - w = -6*x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(-4*(-11)\/(-22)). Solve 28 = -4*n - 2*x + 2, 3*x + 9 = z for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 670791 is divided by 4045.\nAnswer: 3366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 14 - ((-139308)\/(-3315) + -28)\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 + 378\/81)*(1\/2 + 1). Let f be -4*(-1 + 21\/5). Let p = f + 13. Is p at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 < -6.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0857636 - -0.0851. What is d rounded to 5 dps?\nAnswer: -0.00066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 15 = -3*o. Let p = 18 - 16. Let j be 1\/(15*6\/180). Solve 3 = -o*c + p*r + j*r, 5*r = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 20112932 - -1?\nAnswer: 20112933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 115 (base 12) to base 11.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*r - 10*r + 11*r + 74 = -25*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -2. Let l(s) be the first derivative of -s**2 - z + 6 - 4 + 2*s. Differentiate l(q) with respect to q.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 8 = -5*g. Let d be 2 - 3\/6*0. Let u be (-2)\/2 + 0 + d. Sort 4, u, g in ascending order.\nAnswer: g, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6716*h + 13462*h + 10068*h**2 - 6746*h + 67172*h**2)*(-2*h - 2 + 4 + 0*h) to j*h + g*h**3 + d + f*h**2 and give f.\nAnswer: 154480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 0 - (0 - 0) - 4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1021210 - 1112?\nAnswer: 1020021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that g**4\/10 - 2487*g**3\/5 - 442883*g**2\/10 - 1299954*g - 63239566\/5 = 0.\nAnswer: -31, -26, 5062","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 62767215 to the power of 1\/3, to the nearest integer?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 3*f**2 - 9*f - 62. Give a(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3572, 7144, 10716, 14288?\n\"Answer: 3572*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uvupcvupvpyuu. Give prob of sequence yc.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/2*((-600)\/(-42))\/(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 - l + 1. Suppose 3*f + 3*o - 24 = 0, -2*o + 0*o = 5*f - 31. Suppose -f*h - 1 = -6. Let b be n(h). Solve -w - b = -0*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 329 and 14?\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -33650033 <= -168250169\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 169 + 8. Suppose -z + 2*q + 17 + 13 = 0, 0 = -5*z + q + i. Does 14 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18.917 in 0.5, -5\/2, -9, -16, -3?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1925, -7284, -16077, -28304, -43965?\nAnswer: -63060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/(-3)*(-268)\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 39800008 = 10*d - 5*d, r = 3*d + 23880002. What is d rounded to the nearest 100000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103524634339 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -43 - -45. Factor 3*z**m + z**5 + 6*z**3 - 4*z**5 + 6*z**4 + 5*z**5 - z**2.\nAnswer: 2*z**2*(z + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q + 3. Let o = -9 - -16. Let p be z(o). Let y = -7 - p. Put 4, 1, y in ascending order.\nAnswer: y, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4b922 (base 13) to base 16\nAnswer: 222b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 928*o**4 + 2*o**3 + 243*o**2 + 109558*o - 10.\nAnswer: 11136*o**2 + 12*o + 486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 + 4*c**2 + c + 9. Suppose -3*b = 2*b + 20. Let o be n(b). Solve 0*y + 4 = o*y + v, -5*y + 4*v = -9 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 14 = 2*r. Let d(m) = 2*m + 6. Let q(y) be the first derivative of 5*y**2\/2 + 13*y + 3. Let o(z) = r*d(z) - 3*q(z). Calculate o(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3830576983.\nAnswer: 25643, 149381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -115.\nAnswer: -2\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121 - 121 - y.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(16)\/sqrt(4)*-5)\/(sqrt(22)\/(sqrt(11) - sqrt(891)*1 - sqrt(11))) + -5.\nAnswer: -270*sqrt(2) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 335167 = 5*z, 5*z - 2*m = 9*z - 268132. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 20 = r. What is the closest to 16 in r, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 PM and 3:38 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 29505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 34?\nAnswer: -3.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 247.204kg?\nAnswer: 247204000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002448 to seven dps.\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2. Suppose 5 = -2*i - 4*b - 7, 3*b = -4*i - 9. Let u(j) = i*j + 0*j - 3*j**2 + 7*j**2. Calculate u(c(m)).\nAnswer: 4*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 23, -154, -451, -868, -1405?\n\"Answer: -60*c**2 + 3*c + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1036432 + -551231. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149243629 to the power of 1\/3, to the nearest integer?\nAnswer: 530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -18 (b) -17\/3 (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 51\/5 of a meter?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 24.78405 to 0 decimal places.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = f - 4*f - 94, 302 = 3*r + f. Suppose -84 = 4*n - 6*n + q, 0 = -4*n + 4*q + 176. What is the greatest common divisor of n and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/1970 and -71\/10.\nAnswer: 1970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)*-2 - sqrt(48) - sqrt(144)\/(sqrt(12)*2))\/(sqrt(30)\/(sqrt(500)*2)).\nAnswer: -130*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 69 and 1265.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -6*d - 98. What is the units digit of u(-28)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/61, -18, -1, 0.53?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -1. Let f be j*6*2\/3. Let v(r) be the first derivative of r**3\/3 - r**2 + 3*r + 4871. What is v(f)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/8 and 43\/21.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1134 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14990 = -2099*r + 62673 for r.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 0*z - z)*(1 - 4 + 4)*(-17*z + 15*z - z + 16).\nAnswer: 6*z**2 - 32*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -119*y**2 - 34*y + 35*y + 43 - 41 + 3*y**2 - 3*y**2 - y**2 + (0 - y + 0)*(0 - 2*y + 0) as d + n*y + k*y**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 6 = 4*u, 0*q - 5*q + 4*u = -3. Suppose g + 2*g - 207 = -q*c, g + 4*c = 60. Calculate the remainder when g is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -2*z - 9*s + 16, 14 = 2*z + 4*s. Let l(o) = 2*o + z*o + 2*o**3 - 2 + o - 8*o**2. Is l(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a8 - 1?\nAnswer: a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(304) - (sqrt(304)*1 + sqrt(304))))**2*3.\nAnswer: 14592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -315, -0.0449, -12 in increasing order.\nAnswer: -315, -12, -0.0449, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/((-1 - 3) + 5). Suppose -4*k - i + 193 = y, -2*k - 4*i + 109 = -i. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 321 and 1455.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1618 rounded to 2 dps?\nAnswer: 1.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 4*b = -8. Let o(r) = -b - 8*r - 2*r**2 + 4*r + r**3 + 3. Suppose 4*j - 3*x = 24, -1 - 4 = 5*j + 5*x. Give o(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -370 + 373. Let k(t) be the first derivative of 0*t + j + 5\/3*t**3 - t**2. What is the second derivative of k(v) wrt v?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + o + 65 = 64, -s - o - 38 = 7*o for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 17295, 16517, 15751, 15003, 14279?\n\"Answer: d**3 - 785*d + 18079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n + 16. Let i(l) = l**2 + 13*l + 12. Let o be i(-12). Calculate the least common multiple of 4 and a(o).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*n - 34844 + 34832 + 4*n)*((3 - 3 - 1)*(6 - 1 - 4) + 0 - 3 + 2) to the form r*n + w and give r.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 15) to base 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - n = 6, -5 = -4*d + 4*n + 3. Let a(x) = 2*x**2 - x. Determine a(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 120 and 48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (-210)\/(-175)*20\/(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00081103 to five dps.\nAnswer: -0.00081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3*j = 0. Suppose j*l = -2*l + 6. Find the second derivative of n**l - 4*n + 5*n - 4*n**3 wrt n.\nAnswer: -18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -626 divided by 6\nAnswer: -313\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 537537693841 less than -3?\nAnswer: -537537693844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + -7 + 10 + -1 - (4 - 3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 131*l**2 - l. Let g be k(-1). Suppose g = 3*j - 159. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of 1\/60*o**4 + 22*o + 2\/15*o**3 + 0 - 1\/2*o**2. Suppose g(q) = 0. What is q?\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 - 24*m - 63. What is n(-21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*z + 0*z + 3*z)*(4*z - 12*z - 3 + 10*z)*(3*z - 5*z - z).\nAnswer: 48*z**3 - 72*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 90620?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/3)\/(1*-1). Suppose -29*k = -127*k - 24*k - 732. Let n = 2.8 - 0.8. What is the fourth smallest value in k, -0.5, t, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -5*r - 13. Let l = r + 11. Let n be (-10)\/45 - l\/(-18). Let d(b) = -b**2 + b - 7. Calculate d(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 738*j - 856. What are the prime factors of f(8)?\nAnswer: 2, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24542, 98107, 220728, 392405, 613138, 882927?\nAnswer: 1201772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (-246)\/50 - (5940\/125)\/6) + 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17\/36 bigger than -54\/301?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/7 - 3543*v\/7 - 17690\/7.\nAnswer: -(v + 5)*(v + 3538)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -5*w**2 + 4*w - 18. Let d(c) = 9*c**2 - 7*c + 34. Give 6*d(m) + 11*p(m).\nAnswer: -m**2 + 2*m + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 3089*u - 6 + 3086*u - 1.\nAnswer: -3*u - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -790, -1581, -2370, -3157?\nAnswer: -3942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -216, -357, -500, -645?\nAnswer: -792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*w + 2 - w**3 + 87*w - 61*w to the form f*w**2 + x*w + t*w**3 + u and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7062*i**4*v**2 - 2*i**4*v + i**4 - 2*i**2*v**2 - 2*i**2 - 258*i + 10*v wrt i?\nAnswer: -169488*i*v**2 - 48*i*v + 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1478, -2977, -4512, -6101, -7762, -9513, -11372?\n\"Answer: -3*s**3 - 1478*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 348 and 2449992.\nAnswer: 71049768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/3, -0.32, -38, 2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 26748 = 4*w, -3*w - 301*f + 297*f + 20066 = 0. What is the remainder when w is divided by 67?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 take away 319?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/2520 and 25\/504.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -567, -1128, -1687, -2244?\n\"Answer: r**2 - 564*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -7 + 27. What is the derivative of 5*v + r - 3*v - 14 + 2*v wrt v?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6ca (base 13) in base 3?\nAnswer: -1121201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4587 and 231?\nAnswer: 32109","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 divided by -31?\nAnswer: -45\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1062075032 less than -0.124814?\nAnswer: 1062075031.875186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/90 and -47\/11070.\nAnswer: 11070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of -5\/6*m**3 + 0 - 21*m + 5\/2*m**2. Let c(f) = -f**2 + 4*f - 4. Determine 5*c(h) + 4*u(h).\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 3*v + 282, -4*k + 2*v + 332 = -240. Suppose -3*x - j + 217 = 2*x, -4*j = -3*x + k. Suppose 3*a = x + 61. List the prime factors of a.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 915*m + 328*m - 306 = 864 + 73 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 PM and 5:42 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n**4 - 3*n**4 + n**4)*(-8 + 7 + 0)*(3*n - n + 0*n).\nAnswer: -4*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 13*f**2. Let u(i) be the first derivative of -110*i**2 - 3636. Calculate u(l(s)).\nAnswer: -2860*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22680?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 - z. Give i(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1004*z - 639*z = 4023 + 4192 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.02122 and -1571958.\nAnswer: -1571956.97878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 57 by 98.\nAnswer: 57\/98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -39*x + 15. Let a(p) = 10*p - 4. Suppose -l + 0*l + 11 = 2*z, 2*z - 41 = -3*l. Determine l*a(k) + 4*n(k).\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -1852.1.\nAnswer: -926.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4 = -4*r, 5*r + 15 = 3*a + 2*a. Suppose -3*h + 16 = h. Suppose -40 = -a*q - h. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5137320074 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m**2 + m**3 + 3*m - m**2 - 2*m. Let o(j) = 990*j**2 + 1000*j**2 - 1991*j**2. What is o(h) + w(h)?\nAnswer: h**3 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1\/(-3) + (-3)\/((-18)\/26)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/(442\/51)*4\/(-54).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 18 (b) 0.07 (c) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 11*h**2 + 29*h + 46. Let v be l(-11). Let r be v\/207 - (-50)\/(-45). Factor -3*c**2 + 3\/2*c**r + 3\/2*c**5 - 3*c**3 + 3\/2 + 3\/2*c.\nAnswer: 3*(c - 1)**2*(c + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*7\/(-112) - 21\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -804292 - -804572. Suppose -5*x - 20 = -0*x, 82 = 3*a - 4*x. What is the least common multiple of u and a?\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.01 + -2.01. Let f = t + 2.5. Let z = -29 - -29.3. Which is the second smallest value? (a) f (b) 5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2679543kg in grams?\nAnswer: 267.9543","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -70 - -83. Suppose -z*s - 10014 = -19*s. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28225558?\nAnswer: 2, 14112779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208272398 is divided by 700.\nAnswer: 698","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xkkhhkpk. Give prob of sequence hh.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -73, -140, -207, -274?\nAnswer: -341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 2:29 PM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of 2*i**3\/3 + 143*i**2\/2 - 37*i + 7. Let f(w) = -4*w**2. Calculate f(h(v)).\nAnswer: -64*v**2 - 4576*v - 81796","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57, 211, 465, 819, 1273?\nAnswer: 1827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3498\/(-34) - 2\/17. Let r = -103 - g. Solve r = s + 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -16002, -31888, -47774, -63660, -79546?\n\"Answer: -15886*y - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/6 and 43\/384?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*r - 425 = -15*k, -84 = -2*r + 2*k + 2*k for r.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -8, 4?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**2 + 12*j - 1. Let w be b(5). Suppose -3*c - 6390000 = -w*c. What is c rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5844.68 to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3223?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**3\/7 + 92*y**2\/7 + 622*y\/7 + 76 = 0. Calculate y.\nAnswer: -38, -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120952.\nAnswer: 2, 13, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 327 - -724. Suppose -3*y + 1130 + h = 0. Suppose -y = -j + 135. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3969018 divided by -172566.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: -1276 divided by 319\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 116 and 2678.\nAnswer: 155324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 77205, -1, 232 in decreasing order.\nAnswer: 77205, 232, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20262088 by 1628.\nAnswer: 12446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from iafiifiiifiiiiaii?\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 37*j + 107. Let r be o(-3). Suppose 0 = -2*f - g - 6, 5*f - r + 22 = -3*g. What is the biggest value in -7, f, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a kilometer in meters?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10985785 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - -4)\/(-1) + 1. Let l(i) = -2*i - 1. Let u be l(y). Suppose a = -4*z - 3, a - 3*a = -5*z - 33. Calculate the highest common factor of a and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -8 + 7*g + 1 - 23*g. Let w be o(5). Is ((-2)\/3)\/(1\/w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 474650?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2*((-4*(sqrt(48)\/sqrt(4))**2 - (-2*(-1 + sqrt(12)))**2) + 5) + 1.\nAnswer: -186 + 32*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32 + -28. Suppose 2*l - 8 = -2*l, -4*k + 4*l = 0. Suppose -k*w - 3*w = 3*a - 70, 0 = -a + r*w + 12. Solve -v - 4*v - a = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 3422283.\nAnswer: 3422283","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -565, -565, -567, -571, -577, -585?\n\"Answer: -r**2 + 3*r - 567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 576 = -101*j + 77*j. Which is smaller: -32\/11 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -88 and -3?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 17807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*o**2 - 32*o**5 - 74*o**5 + 3*o**2 wrt o?\nAnswer: -6360*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -339 + 1479 = 4*y. Suppose 1653*f - 4560 = 1613*f. Calculate the greatest common divisor of f and y.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - 0)*16\/32. Let g(r) = 3 - 8*r + p - 1 + r**3 + 7*r**2. Give g(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o - 56 - 38 - 40 + 37 to k + q*o and give k.\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1911916 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 74\/15 and 71\/6045.\nAnswer: 6045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -16076 - 0.064369899\nAnswer: -16076.064369899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 53245.58 decades in years?\nAnswer: 532455.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2033675 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1622 is divided by 268?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1170 and 5850.\nAnswer: 5850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 - 5*t. Let r be c(-3). Let w(i) = i + 14. Let q be w(-9). Suppose q*x + b - 51 = 0, -r*x - 4*b = -2*x - 44. Solve -p - x = p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-183436)\/4169)\/(1\/1)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -398b + -28aa?\nAnswer: -6679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 27.\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m - 11. Let r be q(-7). Let i be ((16\/3)\/r)\/(-2). Which is the biggest value? (a) 5\/3 (b) 1\/7 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a milligram in micrograms?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 848 and 8851?\nAnswer: 141616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 7506.7514016 and 5.\nAnswer: 7511.7514016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 0*r = -2*a + 96, 4*a - r = 182. Suppose a = -5*y - 14. Let m be -1 + 1 - (10 + y). Solve 3*o + m*z - 15 = 0, 4*o + 0*o - 24 = -4*z for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9\/((6\/(-8))\/(-1)). Let f be (-2 - 0)\/(z\/(-174)). Let m = -10 + f. Calculate the remainder when m is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 8*u**2 - u + 1. Let y be n(-2). Suppose 2*x - 3*z = y, -38*z + 62 = 3*x - 33*z. What is the greatest common factor of 1 and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of 0 + 0*i**3 - 1\/24*i**4 - 1\/2*i**2 + 2*i. Let j(a) be the first derivative of v(a). Let f(h) = 2*h**2. Give j(f(z)).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*g**3 + 6441*g**2 - 928098*g - 8872416 = 0. What is g?\nAnswer: -2282, -9, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -75*i**3\/7 - 24540*i**2\/7 + 19668*i\/7 - 3936\/7 = 0?\nAnswer: -328, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/8 and 23\/720?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-96)\/(-816))\/((-3)\/(-51)). Solve -16 = -6*d + l for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = k + 8*h - 4*h, -4*h + 8 = 0. Let s(n) = 19*n - 11. Let t(w) = w. Let v(j) = k*s(j) + 5*t(j). Does 28 divide v(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223 a factor of 47191207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-5\/6)\/(a\/((a*(a*a**(-1\/3))\/a)\/a))*a**7*((a*a**(-8))\/a)\/a assuming a is positive.\nAnswer: a**(-25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7266.0924 minutes in weeks?\nAnswer: 0.7208425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1333\/34432?\nAnswer: 1333\/34432","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 55\nAnswer: -3\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -21. Suppose d + 8 = m. Suppose 0 = -7*t + d*t + 138. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 11. Suppose -4*l + 16 = -0, k = -d - 5*l + 42. Calculate the highest common factor of d and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 3 + -6 + (61 - 70)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**2 + 4*y - 14. Let d be j(-5). Suppose 0*a + d = -4*a. Let x be -2*1*a\/(-180). Does x = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(-2)*(-5)\/(-5). Suppose -2*w + 3 + 11 = f. Solve 2*y + z + w = 0, 4*z + 20 + 2 = -2*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -211220 - -112020221?\nAnswer: 111102001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 52.4 - 5.4. Let v = z - 47.01. Sort 3\/4, v, 0.1 in decreasing order.\nAnswer: 3\/4, 0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 11) to base 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110572 is divided by 1172.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 24, 46, 90, 162, 268, 414, 606, 850?\n\"Answer: u**3 + 5*u**2 + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 8*a**2 + 89*a - 263. Let x be i(3). Solve 27*w - x = -238 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -898.8598+556\nAnswer: -342.8598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 49*t. Let j(x) = -7*x**2 - 6*x. Let a(s) = -20*s**2 - 17*s. Let b(w) = 6*a(w) - 17*j(w). Determine i(b(q)).\nAnswer: -49*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3525693 and 138?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1563212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2 - 324*q - 8748.\nAnswer: -3*(q + 54)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1284 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 245, 510, 785, 1076, 1389, 1730?\nAnswer: 2105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 342*j + 10. Calculate v(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 12 = -2*l + 6*i, i = l - 4. Solve 6*p = 3*p - 15, 4*h + 36 = -l*p for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-72)\/(-10)*(18 - 3). Suppose -192 = -5*k + l. What is the highest common factor of 10 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 213366*a**3 + 173813.\nAnswer: 640098*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*v - 433 - 317 = 0. Suppose 3*y + 4*c = -3, 9 = -33*c + v*c. Solve y*p + 3 = 15 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -12. Suppose -3 = -w + o. Let m(r) = -3*r**3 - 5*r**2 + 8*r + 5. Let q(l) = l**3 + l**2 - l - 1. Give w*q(i) + m(i).\nAnswer: 2*i**3 + 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5028 - -5027.6. Which is the nearest to -473? (a) -0.3 (b) 0.1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*s - 504882 = 92763. What is the hundreds digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 2:27 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -29*z - 1242. Let j be d(-44). What is the greatest common divisor of 1683 and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -169373 and 1690?\nAnswer: -286240370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 17*u**2 - 3*u + 2. Let g = -17 - -78. Let v = g + -64. What is the units digit of l(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -13. Let b(x) = -4*x - x**2 + x + o*x. Let j(c) = 2*c. Calculate b(j(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 17*d**3 - 80*d**2 - 23*d - 6. Determine r(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(-2*(-4)\/(-4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/105 and -61\/35.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 3*v - 35254, -2*v + 5*o = -4*v + 23471. Let u = 2635174481\/28 + -94101628. Let r = v - u. Calculate the common denominator of r and -67\/40.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.5 to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45434 is divided by 207?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -25*r + 21. Is 17 a factor of s(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {x: 2, z: 6}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + 30*o**2 + 385*o - 15. Give a(40).\nAnswer: -615","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/1394 and 12\/14227?\nAnswer: 483718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 305, 1235, 2787, 4961, 7757?\nAnswer: 11175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 33128*a*g*o - 10*a*g*r - 18*a*g + 2*a*r - 3246*g*o*r - 280*g*r - 10*g wrt o.\nAnswer: 33128*a*g - 3246*g*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (8 + (-20 - -18) - 9) + (11 - 9)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8074, -8083, -8098, -8119, -8146, -8179?\nAnswer: -8218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-12)\/(-10))\/((-3)\/15). Let o be (-1)\/2 + (-15)\/i. Let z(d) = -d + d + 3*d - o*d. Let k(h) = h. Calculate k(z(v)).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-173604)\/6216 + ((-27)\/(-14) - 2)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, -2, 0, 1, 18, -659 in descending order.\nAnswer: 18, 1, 0, -2, -20, -659","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = 13*z - 16*z - 1, 3*j = 3*z + 9 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 102176 less than 6028349\/59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 r when four letters picked without replacement from {r: 7, j: 6}?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11009*c**3*m**2 + 86*c**2*m - c**2 + 11*m**2 wrt c?\nAnswer: -66054*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -252 + 5.7\nAnswer: -246.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -200*n - 207*n - 209*n - 195*n + 1034*n - 205*n.\nAnswer: 18*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -460521*j + 85 = -460524*j - 2*m, 0 = 4*m + 8 for j.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -412, -545, -774, -1105, -1544, -2097, -2770, -3569?\nAnswer: -4500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 4*u - 16. Let g be 3\/2 + (-39)\/26. Put g, -3, u in increasing order.\nAnswer: -3, g, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = q. Suppose c + 0 + 3 = q. Let l = -57 - -57.5. Sort c, 1, l in descending order.\nAnswer: 1, l, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -301913, -1207661, -2717241, -4830653?\nAnswer: -7547897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 8 = -c - 9, 28 = 5*t + c. Solve 11*x**3 + 0*x**3 - 7*x - 4*x**5 + t*x**4 + 2 - 9*x**2 + 0*x**2 + 2*x**2 = 0.\nAnswer: -1, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of -15\/2*a**2 + 0*a - 5 - 8*a**5 + 5\/2*a**4 + 35\/3*a**3. Suppose s(h) = 0. Calculate h.\nAnswer: -1, 0, 1\/2, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -2\/4407?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 402913224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and 13.75708544.\nAnswer: 13.35708544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*z = 2*p - 23*z - 106, -3*p + 181 = 5*z. Suppose 678 = 4*n - 0*n - b, 2*n - 348 = 5*b. Calculate the remainder when n is divided by p.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -977, -1034, -1129, -1274, -1481, -1762?\n\"Answer: -2*o**3 - 7*o**2 - 22*o - 946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -67454*m. Let n(c) = -2*c. Give x(n(b)).\nAnswer: 134908*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(6)*1 + sqrt(6))\/((sqrt(21) + sqrt(105)\/sqrt(5) + sqrt(21))\/sqrt(7)))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*x - 4. Let g be (1 - (-2 - 0)) + -5. Let w = g - x. Sort w, 0, -3.\nAnswer: -3, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 3 - 3. Suppose k = -0*w - w. Suppose w = 3*l + 2*c - 126 - 257, 246 = 2*l - c. Does 27 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 24 = -b. Let d be 18\/4*b\/6. Let w = -3 - -2. Sort d, w, 4 in ascending order.\nAnswer: d, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23920.\nAnswer: 2, 5, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.6 - -6.6. Put -0.4, a, 1\/5 in ascending order.\nAnswer: -0.4, 1\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4920 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-8))\/((-474)\/10744)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 279 by -4.\nAnswer: -279\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48324 by -2.\nAnswer: 24162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 301160208?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a**4 - 11198*a + 275697 wrt a.\nAnswer: -4*a**3 - 11198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 224824, 224823, 224822?\nAnswer: 224821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (34\/204)\/(8\/114) - 2.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -6*t + 1. Calculate b(3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -715632 divided by 816.\nAnswer: -877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zaatavtrzzkaaattt. Give prob of sequence tkvz.\nAnswer: 1\/3808","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 27 = -3*x, -6 = 4*s - 2*s + 4*x for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/10 and -33\/746.\nAnswer: 3730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -41c96 - -6?\nAnswer: -41c90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from hrkr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**3 - 260*j**2 - 4194*j - 18144 = 0. Calculate j.\nAnswer: -112, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0035645 - -0.013336. Round u to 4 dps.\nAnswer: 0.0169","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1388064.0182 + 1388326. Let g = v + 0.0182. Put 1\/7, g, -2 in increasing order.\nAnswer: -2, 1\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 2*r - 20. Suppose -4*v = m - 28, -5*v - 52 = -m - v. What is the remainder when m is divided by r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of -i**6\/120 + i**5\/3 + i**4\/8 - i**3\/2 - 28*i**2 + 1. Is p(19) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -19, 6, 67, 176?\nAnswer: 345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 6:55 PM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.96 take away 1831221?\nAnswer: -1831219.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of 7*n**5\/24 - 37*n**4\/36 + n**3\/9 + 2*n**2\/3 + n. Factor i(f).\nAnswer: (f - 2)*(5*f - 2)*(7*f + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 664 is divided by 77.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/3)\/(18\/135). Let x be ((-8)\/h)\/((-6)\/(-15)). Suppose 1 - 4 = -k + x*q, -5*q = -15. Is 5 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**13\/a*a)\/a**(-2\/27)*a**18*a**13*a)**(-1) assuming a is positive.\nAnswer: a**(-1217\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89922 is divided by 461.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 12942, 12950, 12960, 12972, 12986?\n\"Answer: i**2 + 5*i + 12936","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -16.2 + -0.3\nAnswer: -16.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 36 = -4*s - 8*i, -3*s - 5*i = -27. Solve s*y - 3 + 30 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41.5 + 43. Let o = -1.508 + h. Round o to 3 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9751076km to nanometers.\nAnswer: 975107600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) - (sqrt(847) - (sqrt(847) + 0 + -4)) - (sqrt(847)*-1)**2*-2) + ((sqrt(847)*2 + sqrt(847))*-1 - 5*(sqrt(847) + -1)).\nAnswer: -77*sqrt(7) + 1695","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2088505011 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 i when two letters picked without replacement from inyyyyynyyiin.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -4*m - 40033, 10*s = 15*s - 4*m - 200261. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 59? (a) 0.07 (b) 196 (c) -37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -19193328, -2, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of -i**4\/4 - 4*i**3\/3 - 3*i**2\/2 - 4*i - 2000. Determine j(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 116 - 11. Suppose -4*k + 13 = -19. Solve 0 = 2*v + 5*t + c, -4*v + t + 15 = -k*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4328\/(-5) + 3\/15. Let w = b - -34221\/40. Calculate the common denominator of -1 - (-15)\/9 - 5 and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + 0*f + f - 2*f + 0 + 0 + (0 + 3 - 1)*(4*f - 2*f - f) - f - 2*f + 5*f - 2*f - 2*f + 6*f + 2*f - 2*f - 2*f + 0*f - f + 2*f)*(-95 + 85 + 90).\nAnswer: 400*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 12.838 + 28.00718\nAnswer: 40.84518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 3*q**2 - 2*q + 15. Let b(v) = v**3 + v - 1. Let s(w) = -a(w) - 2*b(w). What is the first derivative of s(i) wrt i?\nAnswer: -9*i**2 - 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 389 + -401. Sort -3, 4, y.\nAnswer: y, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -141.1 - -133. Let y = r - -8.1. What is the closest to y in 7, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*w**2 + 0*w**2 + 3*w**2)*(4 + 0 - 2)*(1169*w + 33 - 32 + 891*w) to s*w + t*w**2 + h*w**3 + o and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.5357 - -0.4357. Put 0.2, -0.2, -1, 8, j in ascending order.\nAnswer: -1, -0.2, j, 0.2, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b98a + 4?\nAnswer: 1b992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/(sqrt(4) - sqrt(4)*2) + -2)*-4.\nAnswer: 8 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - 7*u**2 - 10*u + 11. Let r be l(8). Let d be r\/(-15) - 20\/(-3). Solve -d*v + 1 = -20 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + o + 16 = -12, 4*m - 5 = -5*o. Find the second derivative of -13*b - m*b**4 + 3*b**4 - 4*b**4 wrt b.\nAnswer: -72*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 5*d - 3*k - 22, -5 = -5*d - 5*k for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2 - 1 + 2. Let y(h) = -2*h - 4. Let l be 3*(-3)\/(-7 - -4). Suppose 0 = m + l*m - 4. What is m*y(r) - 6*i(r)?\nAnswer: -2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.342742 times -20\nAnswer: -6.85484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 11 = 1. Suppose 5*p + 15 - j = -3*y, -p - y - 3 = 0. Which is bigger: -3\/5 or p?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**2 - 6*h**2 + 3*h**2. Let r(i) be the second derivative of i**4\/6 - 24*i. What is r(l(w))?\nAnswer: 2*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (84\/2730)\/((-12)\/39)*68?\nAnswer: -34\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3*9\/(-3)*25\/(-45)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99192970?\nAnswer: 2, 5, 9919297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -546*w - 65. Let l(q) = -17*q - 2. Let s(c) = -2*i(c) + 65*l(c). Let p(r) = 2*r**2. Calculate p(s(z)).\nAnswer: 338*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -c3467 (base 14) to base 8\nAnswer: -1626123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1070759806 to the power of 1\/5, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3568223*l - 3568984*l = 97408 for l.\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 90341\/4 + -22586. What is the closest to i in 5\/6, 8.7, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21843?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and 3647?\nAnswer: 54705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -8, -t - 3*t + 2*w = -28. Let l(o) = -4*o + 0*o + t*o**2 - 9*o**2 - o**2. Let f(x) = x. Give -4*f(u) - l(u).\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o - 8. Let g be k(-8). Suppose -4*h = s + 17, g = 2*s + 4*h + h + 19. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 522 and 36?\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 13*g**2 + g + 9. Let c be v(-13). What is the tens digit of 299 + c + (6 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 785613 and -0.1?\nAnswer: -78561.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -930*y**4 - 3*y**2 - 32044*y - 797116704.\nAnswer: -3720*y**3 - 6*y - 32044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*g**2 - 3*g**2 - 3*g**2 + (2*g + 0*g - 4*g)*(-6*g + 3*g + g) + 2*g**2 + 0*g + 0*g + g**2 - g**2 - 3*g**2)*(g - g + 2*g) - 3*g**3 - 2*g**3 + 0*g**3.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*d - 367 - 262 = -24 for d.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + c5?\nAnswer: c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - 2*q**5 + (-22 + 22 - q)*(-21 + 31 + 45)*(-3*q**4 + 3*q**2 - 3*q**2).\nAnswer: 163*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, 13, -27\/640, 3\/5, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 234?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 815?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10558 = -31*i + 10093 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2084770791 and 162?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121) - -4*sqrt(121)*-2 - sqrt(121))*-2)\/((2*sqrt(132) + sqrt(132))\/sqrt(12) - -1*sqrt(22)\/sqrt(2)).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27645041 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 894483 and 1167129.\nAnswer: 729","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12076508.\nAnswer: 2, 3019127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -3*t**3 - 2*t**2 + 5*t + 31. Let r be v(-6). Let w = r + -63. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-1 - -3)*3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(-1\/6)*k)\/k*k\/(k*k**(1\/9)))\/((k*k*k\/(k*k\/k**(-2\/15))*k)\/(k**(-7)*k)))\/((k**0)**(-30))**(7\/5) assuming k is positive.\nAnswer: k**(-643\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 174 and 1?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 plus 4.7118?\nAnswer: -0.2882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 + -29. Let n(b) = 4*b - 15. Let f be n(p). What are the prime factors of 12*f*10\/(-24)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1955906579 and 0.4?\nAnswer: 1955906578.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of 3*m**3\/2 + 18*m**2 - 16*m. Is 9 a factor of b(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 3 + -6 + 3 + -6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**5 + 0*q**5 - 2*q**4 + 0*q**5 + (-2*q**2 - q**2 + 5*q**2)*(q - 2*q**3 - q) + 3*q**5 + 2*q**5 + 2*q**5.\nAnswer: 4*q**5 - 2*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/4)\/l)**42*l**0*l*l**(-1) assuming l is positive.\nAnswer: l**(-105\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 190485983809*g**3\/10 + 190486856703*g**2\/5 + 349158*g + 4\/5 = 0?\nAnswer: -2, -2\/436447","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/14)\/(52\/182)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44426 is divided by 556?\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -145*t + 146*t - x + 6, 0 = 60*t - 2*x + 186 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 5*m - 6*m - m. Let w(g) = 95*g + 1302. Let k(n) = 2312*n + 31620. Let v(x) = 7*k(x) - 170*w(x). Calculate v(c(y)).\nAnswer: -68*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -4*w**5 + 4464*w**4 + 337932*w**3 + 5040360*w**2 - 43366752*w = 0.\nAnswer: -39, 0, 6, 1188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9\/(-6)*8\/6. What is the common denominator of o\/(-2) - 177\/(-42) and 13\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = -6*k + k + 90, 0 = -39*d - 10*d - 2*k + 234 + 37 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.1, -4\/5, -1, -120?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -3, -12400\/7, 5, -5, 0.3, 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 96980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nk when two letters picked without replacement from ovvoonokvvvvnnkvvvo.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 134*n = 135*n - 7644, 4*r - 5*n - 30540 = 0. What are the prime factors of r?\nAnswer: 2, 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*b + 5*b - 5*b - 3*b - 4 + 4 + (-4*b - 2*b + 4*b)*(0 + 2 - 1) - 2*b + 2*b - b)*(4 - 3 - 3) in the form w*b + s and give w.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 + a - 8. Let w(x) = -x**2 - 7. Let t(o) = -5*f(o) + 6*w(o). Let p(k) = -k**2 + 6*k + 5. Let c be p(7). Calculate t(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 p when two letters picked without replacement from {j: 4, p: 2, z: 1, g: 1, f: 3, s: 1}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 808130000 rounded to the nearest one million?\nAnswer: 808000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 293331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of 0*h**6 - 2 + 0*h + 3*h**2 + 1\/6*h**3 + 1\/3*h**4 + 0*h**5 + 19\/42*h**7. Find the second derivative of q(n) wrt n.\nAnswer: 1140*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of v**4\/4 + 5*v**3 + 13*v**2 + 300. Determine i so that d(i) = 0.\nAnswer: -13, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -7*g**3 - 21*g**2 - 6*g + 19. Let b(w) = 3*w**3 + 10*w**2 + 3*w - 9. Let r(s) = 9*b(s) + 4*z(s). What are the prime factors of r(6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t**3 + t**2 + t + 3. Determine l(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 63412265?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99999?\nAnswer: 3, 41, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-6322)\/522 + 10 - (4\/(-36))\/1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/11, 2, -5, -0.5, 3.\nAnswer: -5, -0.5, 1\/11, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 457*a - 182*a + 827 - 2477 = 0 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -6*r**3 + r + 2. Let z(c) be the third derivative of c**6\/120 - c**4\/24 - c**3\/6 - 29*c**2. Calculate -h(s) - 2*z(s).\nAnswer: 4*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3363?\nAnswer: 3, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/14 + (-4)\/(80 - -4).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 26 - 13)*((-2 + 2 + o**3)*(4 - 7 - 3) + 2*o**3 + 3*o**2 - 3*o**2 - 2*o**3 + 4*o**3 + 0*o**3).\nAnswer: 64*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 294 and 10455648?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 280\/84 + 2\/(-1) + -1. Which is the nearest to u? (a) -0.3 (b) 4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 416 = m. Does 13 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nniknnynndinnonondnn. What is prob of sequence kno?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -241200 + -21?\nAnswer: -241221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y + 2*y + 0*y)*(1 + 2 - 2) + (2*y - 3*y + 5*y)*(-3 + 2 - 3).\nAnswer: -18*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6919361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**5 + 4*o**5 + 3*o**5 + (-o**4 + 2*o**4 + 0*o**4)*(7*o - 2*o - 3*o).\nAnswer: 9*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one tenth of a week?\nAnswer: 1008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-54 - 56 - 7*o + 12*o**2 + 109)*(-3 + 3 + 2*o).\nAnswer: 24*o**3 - 14*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1188 and 175678404.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -5549*m - 5553. Calculate x(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31084 is divided by 31082.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -856 (base 9) in base 2?\nAnswer: -1010111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -813, 2, -18\/13, -2, -5, 3\/4?\nAnswer: -813","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 9810?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of -2252*p**5 - p**3\/3 + 143*p**2 - 4*p + 6461. Find the third derivative of i(m) wrt m.\nAnswer: -270240*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 129 and 14473?\nAnswer: 1867017","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000111100101110111111 (base 2) in base 11?\nAnswer: -1362584","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6847531 to the power of 1\/3, to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 AM and 3:06 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does -528796\/17 = -31107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92158109.\nAnswer: 92158109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6807, -13616, -20425?\n\"Answer: -6809*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*t + 26*t = 0. Let k be (0 + 1)*t\/(3\/(-1)). Suppose y = -k*y + 4*y. Solve y*l + 4 = 4*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 16 = -4*z, -3*z + 3*u = -z. Let f(j) = j**3 - 4*j**2 + 1. Let p be f(6). Let d = -583\/8 + p. Which is the nearest to -2? (a) d (b) z (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 43\/6. Suppose -6*w + 5 = 5*o - w, 0 = 4*w - 8. Which is the closest to 1? (a) -6 (b) l (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 195767116?\nAnswer: 2, 4289, 11411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 m when three letters picked without replacement from qqqjqqmqqmmmmj.\nAnswer: 15\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 333 - 193. Is b a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2019, -1680, -1175, -510, 309?\n\"Answer: -q**3 + 89*q**2 + 79*q - 2186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**5 - 2*b**5 - 2*b**5)*(27 - 48 - 29).\nAnswer: 50*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -4*c**3 + 10*c**2 + 17*c - 18. What is the tens digit of q(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23 - 22) + 14 - (18 + -7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 2856511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*n + 116 + 4 = 0. Suppose 2*l = 5*f + 1185 + 289, 3*f = n*l - 3723. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -806 (base 15) to base 9\nAnswer: -2426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -7, -24, -77, -184, -363?\n\"Answer: -3*l**3 + 4*l - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 195, 474, 885, 1440?\nAnswer: 2151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114 + 4*z - 3*z - 2*z**3 + 571.\nAnswer: -2*z**3 + z + 457","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 42*j**3 + 162408*j + 1492*j**2 - 2299*j**2 - 41*j**3 + 163216.\nAnswer: (j - 404)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-1))\/((2805\/22)\/5)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22520193383 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5019 and 24205920?\nAnswer: 717","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 13, 35, 71, 121, 185?\n\"Answer: 7*m**2 + m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 12:34 PM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 - 9*k**2 - k - 3. Let d be l(-9). Let p(f) = f**3 - 5*f**2 - 3*f - 1. Suppose -1 = -4*m + 35. What is the remainder when p(d) is divided by m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 PM and 8:09 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f*f*f*f**(2\/13)))*f**(-23)*(f\/(f\/(((f\/f**(-17))\/f)\/f)))\/f**(-16))**(-8) assuming f is positive.\nAnswer: f**(-1264\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 216 and 341.88.\nAnswer: 73846.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1354458 by 357.\nAnswer: 3794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*(-8787)\/(-27)*-3. Let d = -1699 + h. What are the prime factors of d?\nAnswer: 2, 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -242138798, -242138799, -242138800?\nAnswer: -242138801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 3:39 PM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 2 s, and 1 a when four letters picked without replacement from {t: 2, s: 2, x: 1, a: 2, d: 1, o: 1}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 24 = 20. Let n = u - 6. Let a = -1 + 7. Calculate the lowest common multiple of a and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1400*w**5 - 226*w**2 - 2876*w - 375 wrt w.\nAnswer: -28000*w**3 - 452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 4*r = -93, x + 3*r - 13 + 2 = 0. Let l(c) = 25*c**3 + 17*c**2 + 17*c - 17. Let j(m) = -8*m**3 - 6*m**2 - 6*m + 6. What is x*j(s) + 6*l(s)?\nAnswer: 14*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 4238660?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 370386193 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 + 6*r + 8. Suppose 18*m - 81 - 27 = 0. Give n(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.259423 - -92.753477. Let u = 93 - v. What is u rounded to three decimal places?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gwwe when four letters picked without replacement from {c: 1, a: 1, g: 3, w: 2, q: 2, e: 3}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.504907 to 3 dps.\nAnswer: -0.505","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*6*((sqrt(1300) + 4 + -3)**2 + (sqrt(1300) + (sqrt(1300) + 1 + sqrt(1300) - sqrt(1300))**2*-5 - sqrt(1300))).\nAnswer: -62448 - 960*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 163881 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(2\/7))\/i)**(-42)*(i*i*i*i*i\/i**(2\/11)*i)\/(i\/(i*i\/(i*i**(-2)\/i))) assuming i is positive.\nAnswer: i**(229\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 11*v + 6 + 3*v + 5*v in the form m*v + s and give s.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3774, 3789, 3804?\nAnswer: 3819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 5*d + 1. Let w(t) = -72*t. Calculate w(k(n)).\nAnswer: -360*n - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of 3*x**5\/20 - 20*x. Let b be (-6)\/(-9)*(-3)\/(-2). Determine i(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158*t + 221*t + 24752 = 51*t - 36*t for t.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -156445*o**3 + 2*o + 355337 wrt o.\nAnswer: -469335*o**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 335358 and 137940318.\nAnswer: 10818","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -235337, -471414, -707491, -943568, -1179645?\n\"Answer: -236077*x + 740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 908715.\nAnswer: 3, 5, 29, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -40591, -40569, -40547, -40525, -40503?\n\"Answer: 22*v - 40613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 864*s**2 - 73730*s\/3.\nAnswer: 2*s*(1296*s - 36865)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (852\/(-24))\/(-71)*(-6)\/9?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**10\/(p\/p**6)*(p*p\/(p*p**(-9\/5)))\/(p*p*p**(-2\/21)*p*p))**(-5\/6) assuming p is positive.\nAnswer: p**(-1459\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 8.8 (b) -1 (c) -28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10 - -22644144?\nAnswer: 22644134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, p: 3, n: 2, j: 1, r: 5}. Give prob of picking 2 r and 1 z.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2320 (base 10) to base 6\nAnswer: -14424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, p: 5}. Give prob of picking 2 k and 2 p.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 2 - 2)*(-4 + 2*y + 4) + 299*y - 393*y - 643*y)*(4 + 0 - 1)*(1 - 3 + 1)*(-y + 0*y - y)*(2 - 3 + 2).\nAnswer: -4434*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 667834 is divided by 148?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + -3*3\/(-9). Let k(m) = -2 - 3 - 5*m - l. Let d be k(-4). What is the highest common factor of 28 and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-12))\/(7\/21)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 20892074 divided by -2\nAnswer: -10446037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - -102?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i**5\/2 + 605*i**4 - 30750*i**3 + 460195*i**2 - 860095*i\/2 = 0.\nAnswer: 0, 1, 31, 179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/((-10)\/2)*(-1)\/2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3*r + 81. Let l be b(29). Let g(t) = -6*t - 32. Let y be g(l). Solve 1 = c - y for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 + 16*s. Let j be k(-11). Let t = -53 - j. Which is the closest to t? (a) -3 (b) 2\/3 (c) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - z + (2*z - 4*z + 3*z)*(-3 - 1 + 3) - 2*z + 18 + 18*z - 18*z + z - 1 + 1.\nAnswer: -3*z + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/(-8)*(-8)\/(-6). Let w be 12*6 + 3 + b. Suppose -h - 4*y + 194 = h, h - w = 4*y. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + x. Let u be l(0). Suppose c = -4*f - u*c + 75, -c - 15 = -f. What is the smallest common multiple of f and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6093112 micrometers to millimeters.\nAnswer: 0.0006093112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -4895?\nAnswer: 1\/4895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 1\/4*f**5 + 0*f + 0 + 1\/2*f**3 + 5\/8*f**4 + 1\/8*f**2 = 0.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -6. Let b = 20 + -18. Suppose -b*m = 2, -4*m = -o - 7*m - 6. Put j, -1\/3, o in ascending order.\nAnswer: o, -1\/3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**(-24\/7))\/t)\/(t**(-23)*t))\/((t*t**(4\/29)\/t)\/(t**(-2)\/t)) assuming t is positive.\nAnswer: t**(4525\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*m - 130*o + 135*o = -401, 2*m - 4*o = 54 for m.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -3*a - 25. Let t(k) be the second derivative of -8*k**3\/3 - 61*k**2 + 14*k - 9. Let w(f) = -2*t(f) + 11*z(f). Let v(m) = -8*m**2. Determine w(v(p)).\nAnswer: 8*p**2 - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 3*x + 3. Suppose -5*p = -6*n + 2*n + 2, p - n = 0. Let r be b(p). What is the closest to r in -0.2, 0, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 259\/42 - 756\/42*(-3)\/(-9)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b = 21 - 10. Calculate the common denominator of -65\/27 and b\/5 - 5257\/210.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/4*y**3 + 1\/4*y**2 - 3\/2*y + 0 = 0.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 17904.04 and -0.064443.\nAnswer: 17903.975557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 11\/8 of a day?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/6 - (-122)\/(-48). Is c bigger than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 29 = -5*y. Suppose 586 = 5*g - y*g. Suppose 0 = -4*b - 5*i - 31 + g, -2*i + 130 = 2*b. Does 21 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a millimeter in micrometers?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 51078235 to the power of 1\/2, to the nearest integer?\nAnswer: 7147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224818 is divided by 223.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 21*m - 18. Let w(i) = -42*i + 17. Let k(r) = 5*b(r) + 2*w(r). What is k(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.013 (b) 0.038 (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 660636007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = -3*q - 25, 27*c + 5*q = 30*c - 3 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - -2 - -3 - (-19 + 18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(((-12)\/15)\/((-8)\/(-20))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1, -6, -15, -28, -45, -66?\n\"Answer: -2*r**2 + r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 2?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 + y - y)*(-251 - 86 + 40)*(3 + 1 - 11).\nAnswer: 2079*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -366*a = -21269 - 36029 + 13744 for a.\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.228 + 4.738. Round r to one decimal place.\nAnswer: 4.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5389305?\nAnswer: 3, 5, 53, 6779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -485000061\/17 greater than -28529414?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 12103838, 12103834, 12103826, 12103814?\n\"Answer: -2*r**2 + 2*r + 12103838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 - 9. Let n(a) = -r + 1396*a + 5 + 16. Let j be n(4). Round j to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 - 11*v - 3. Let i be h(-11). Let j(p) = -p**3 - 5*p**2 - 8*p + 3. Let d be j(i). Solve -2*q = 2*r + 12, -5*r - 19 - d = 4*q for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 10512965, 21025932, 31538899?\n\"Answer: 10512967*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m. Let x(q) be the second derivative of q**4\/24 + 3*q**2\/2 + 4*q. Let o(d) be the first derivative of x(d). Give i(o(l)).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 500018 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -41 from -25449.\nAnswer: -25408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3387, 3383, 3375, 3363, 3347, 3327?\nAnswer: 3303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, -2, -3, 15, 1 in ascending order.\nAnswer: -3, -2, 0, 1, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -n - 27, 0 = -f - 0*f + n + 12. Suppose 7 + 38 = 5*p. What is the remainder when f is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1356*r**3 + 86*r**2 - r - 338514.\nAnswer: 8136*r + 172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26*1046.\nAnswer: 27196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r*r\/(r\/r**(-23)))\/r)\/r**(-14))\/(r\/((r*r*r\/r**22)\/r)*r*r**(1\/2)))**(-34) assuming r is positive.\nAnswer: r**1071","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1163 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w**2 - 53*w - 21. Let p be h(-26). Solve -3 = -p*d + 17 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 11*k**3 + 19*k**2 - 28*k + 10. Determine p(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -79.4 - -2.4. Let y = i - -59.4. What is y rounded to the nearest integer?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 equal to 19541\/2443?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and -2201.\nAnswer: -2197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 446649 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -0.08628965?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 422*d*g*w**2 + 5*d*w + 51*d - 2*w**2 wrt g?\nAnswer: 422*d*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l - l**3 + l + 2*l**3 + l**2 + 0*l in the form y*l**2 + w + x*l + j*l**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -3*d**3 - 3*d**2 + 3. Let b be 13\/(-5) + (-15)\/(600\/16). Let f(y) = 9*y**3 + 8*y**2 - 8. Suppose 53*t - 16 = 55*t. Give b*f(x) + t*z(x).\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*q + 34*q = 275165. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -43, -100, -159, -220?\n\"Answer: -n**2 - 54*n + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, d: 1, r: 3, b: 2, u: 5}. What is prob of picking 1 u and 3 r?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -42301 (base 7) in base 8?\nAnswer: -24306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*8\/(-60) + (-68)\/(-20). Suppose 3*y = -l*y. Let v(o) = o**2 - 3*o + 27. Let x be v(y). What is the greatest common divisor of x and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -27*s - 2378. Determine m(-89).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 - 21*j + 73. Let c be z(17). Suppose -c*f - 3*h = -5*h - 2975, 0 = -2*h - 10. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -189*j + 2 - 80*j + 12*j**2 - 269*j - 17*j - 131*j as v + z*j + g*j**2 and give g.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7392 = -5*f + 13*f. Suppose -129*v + 132*v = f. Is 22 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*585\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4172844?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 53 and 104092.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence of when two letters picked without replacement from foo.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16978.\nAnswer: 2, 13, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51341 is divided by 694?\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110 - 10020111211?\nAnswer: -10020111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 6*d - 138. Is 10 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 7:26 PM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 422225.3.\nAnswer: 168890.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -48. Let z = 22 + w. Let t = -17.65 - z. What is t rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 + 3*q + 4. Let z be n(3). Suppose -5*l - 23 = 3*p, -2*l - 2*l - z*p = 20. Is l\/(-6)*(-6 + 66) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 8.62647 (b) -5 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 348?\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 22295 - 905?\nAnswer: 21390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 270*m + 174*m + 48*m - 183*m + 302*m to the form f + w*m and give w.\nAnswer: 611","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 379184?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -14785 (b) -0.3 (c) 103 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w**3 + 16 - 122*w**3 + 123*w**3.\nAnswer: w**3 + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.96665 + 0.03335. Is 13246 > h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of -n**4\/12 + 3*n**3\/2 - 4*n**2 + 2*n + 20. Factor i(h).\nAnswer: -(h - 8)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -7400334, -14800670, -22201006?\n\"Answer: -7400336*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - 8. Find the second derivative of 6*m + m**5 - 2*m - 4*m**l + m**5 wrt m.\nAnswer: -40*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(13) + 1)*6 + sqrt(13)) - (-2*sqrt(13) + -2)*-4.\nAnswer: 28 + 34*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 261.665.\nAnswer: 261.665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2*k - 2)*(2*k - 3 + 3) + 4*k**2 + 2*k**2 - k**2 - 713*k**2 + 1746*k**2 - 3751*k + 3751*k to i + j*k**2 + u*k and give j.\nAnswer: 1042","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 85*n**4 + 10*n**3 - 5686*n**2 + 198532*n + 826 wrt n.\nAnswer: 1020*n**2 + 60*n - 11372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c\/(c\/c**(-14)))*(c*c**(4\/9)\/c)\/c*c**(-1\/10)*c*(c\/(c*c**(-1\/20)*c))\/c assuming c is positive.\nAnswer: c**(2411\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 28\/98*14*2\/4. Let t(k) = 3*k + 5*k + 2*k - 2*k**2 - 8*k. Give t(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*k - 1. What are the prime factors of k\/4 + 99\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 64 - -21. Let l be g\/15*1*3. Let b = 19 - l. Calculate the remainder when b is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33102101 (base 4) to base 11.\nAnswer: 43048","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 + 0.1. Let u = 0 - v. Let g be (-639)\/6786 + (-31)\/(-1798). What is the fourth smallest value in g, -3\/2, u, -2\/13?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 33 = 83 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**3 + 47*z**3 + 1515 - 1665 as l + w*z**2 + h*z + u*z**3 and give u.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 5*d**2 - 10*d - 14. Is 14 a factor of c(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v**3 + 25*v**2 - 13*v - 21. Let i be s(12). Let q be 20595\/(-4950) + (-2)\/i. Which is smaller: -5 or q?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -3*w + 72, -z - 3*w = -w - 22. What is the remainder when z is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h = -7*h. Suppose 5*g + s - 5 = 2*s, h = 3*g + 4*s + 20. Suppose g = q - 5 - 2. What is the least common multiple of 10 and q?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46 divided by -2\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1\/3)\/p**(2\/9)*p\/(p*p**1*p)*p*p**(-2)\/p assuming p is positive.\nAnswer: p**(-41\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 15*n**2 + 3*n - 21. Suppose 7*b - 15 = 6*b. Does 8 divide j(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/4)*u**4*u\/u**(-4)*u*u*u**(-7)*u)\/((u*u**(-3))\/((u*u**2\/u*u*u)\/u)*((u*u**(-1\/7))\/u)\/(u\/u**4*u*u*u)) assuming u is positive.\nAnswer: u**(291\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 291, 2364, 7991, 18948, 37011?\nAnswer: 63956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2 + 294*r - 179*r - 2068*r**3 - 218*r - 3*r**2 + 2*r**2 wrt r.\nAnswer: -12408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.152 + 2.412. Round f to 0 dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10\/(-2))\/(-20) - 142\/(-8). Let h = 240 - i. Is h a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27716 is divided by 13312.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141541 is divided by 1170.\nAnswer: 1141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(77) + (-1*sqrt(77) + sqrt(77))*5 - 2*(sqrt(77)*-2 + sqrt(77))))\/((sqrt(66)\/sqrt(6)*2 - sqrt(11)) + (-2*sqrt(275) - sqrt(275)))*4.\nAnswer: -36*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*2\/(-4)*(-30)\/(-15).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 + 5148075.\nAnswer: 5148072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43017 + -43113. Suppose 2*m = -2*m - 8. Is m less than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(11\/6)\/(x\/(x\/((x\/(((x\/x**(6\/7))\/x)\/x))\/x))))\/(x**37*x**(1\/3)*x))**(-3\/7) assuming x is positive.\nAnswer: x**(1611\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/6 - 622\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/3 - (2 + -4). What is the third biggest value in -3\/2, n, 0.3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-2)\/6)\/((-10)\/(-30)*(-1)\/457) is divided by 155?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 * -0.402\nAnswer: -3.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6324 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z*z**1))**(-2\/43)*z**(-1)*z**(1\/2) assuming z is positive.\nAnswer: z**(-35\/86)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -7) + -12 + (63 - 10) - -6.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 74936 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -116 + 120 + (0 - 11).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g**4 + 19828*g**3 - 276588*g**2 - 1091332*g + 19139296 = 0. What is g?\nAnswer: -8, 11, 4943","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7993 = -70*g - 993. Calculate the highest common factor of g and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**3 - 2*n**3 + 2*n**3)*(0 + 0 + 2*n)*(6 + 3 + 0).\nAnswer: 36*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 8 - (2 + -6 + 3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*r = -5*b + 49*r + 14, 0 = -r + 2 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 4*t + 5*w, w = 4*t + t - 8 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -13, -122, 6, 2\/3, 5?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -23497741855+-22\nAnswer: -23497741877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**3 - 3*l**2 + 7*l - 26. Give f(3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 - 22*q**2 - 61*q - 32. Suppose 0*b = 2*b - 6. Suppose b*c = c + 258. What is the remainder when c is divided by w(-19)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 3*p + 3, 0*p + 4 = 3*q - p. Suppose 0 + 3 = q*l. Let c = l - 6. Put -4, c, 0.1 in increasing order.\nAnswer: c, -4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of -o**3\/6 - o**2\/2 + 3*o. Let y be a(-6). Factor 3*n**2 + 2*n**3 - 4*n - y*n**2 + 0*n**4 + 2*n + 2*n**4.\nAnswer: 2*n*(n - 1)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -94 divided by -48.\nAnswer: 47\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l. Let r = 11 - 5. Let s(j) = -5*j - 3. Suppose 9*g - 63 = -54*g. Give g*s(b) + r*c(b).\nAnswer: b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a - 13*a + 7*a - 3)*(954 - 368 + 2*a + 0*a).\nAnswer: -22*a**2 - 6452*a - 1758","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**29*f*f**(-14)*f assuming f is positive.\nAnswer: f**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15481 divided by 137.\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -683.025 - -675. Let y = -0.025 - j. Let b = 4 + -2. What is the biggest value in b, 2\/5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from voo. Give prob of picking 1 o and 1 v.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8496)\/236 + (55 - 6).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -40\/261 and 52\/51.\nAnswer: 4437","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 88*g**2 - 144*g**2 + 1 - 2*g**4 + 55*g**2 + g to d*g + x*g**3 + r + a*g**4 + p*g**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-24)*-6)\/((-6)\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*l + 76*l + 1949 - 1949 - 130*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 30562872 a multiple of 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u + 2. Calculate i(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kikyi. Give prob of picking 1 i and 1 y.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -2\/9, 1\/3, 0.1, -5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 - f + 12. Let s(k) = -k**2 - 8*k - 4. Let o be s(-7). Suppose 0 = p - o*p. Calculate the smallest common multiple of y(p) and 2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 19*y**4 + 854*y**3 + 9987*y**2 + 8668*y - 484.\nAnswer: (y + 1)*(y + 22)**2*(19*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -62 - -62. Solve 4*a + 8 + 0 = b for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 60*q**2 - 38*q + 63. Let z(p) = 15*p**2 - 10*p + 16. Let n(i) = -6*c(i) + 23*z(i). Let a(l) = 8*l**2 + l + 5. What is -11*a(s) - 6*n(s)?\nAnswer: 2*s**2 + s + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -115, -232, -349, -466, -583?\nAnswer: -700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/(-45) + 112\/(-18). Let s = a + 6. Let o(z) = -2*z + 39. Let v be o(17). Solve v*u - 3*u + 8 = s for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -96 - -145. Let h = n - 47. Solve -5*o = 5*b - 10, 4*o = 4*b - h*b + 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.11 + 0.59. Is -0.1 smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8326732123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 2 = 4*k. Suppose -44*h + 42*h = t - 3, 3 = -3*h - 3*t. Which is greater: h or k?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - 10*u**2 - 10*u - 13. Let y be t(-9). Let q be y\/10 - 188\/5. What is the tens digit of 6\/(-9) - q\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/5))**(-5\/13)\/(b**(-2\/7))**(-22\/7)*b**(1\/4)*b*b**1*((b\/(b\/b**(-2\/7)))\/b)**(16\/5) assuming b is positive.\nAnswer: b**(-33231\/12740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 281, 0.098?\nAnswer: 0.098","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 2*d - 60, 2*u = 6*u + 8. Find the second derivative of -6*n - 12*n - 8*n**2 + d*n**2 wrt n.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2369 and 29.\nAnswer: 68701","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - 1) + 100\/34. Is 0 <= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34962.998 minus 441.103?\nAnswer: -35404.101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24835 + -24835.1. Let q = -5.05 - -0.05. Put 1, q, p, -0.05 in increasing order.\nAnswer: q, p, -0.05, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2477 - -4443. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125842 > -4798?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-62)\/(-3) - (-36)\/27?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*(i**(1\/2)\/i)\/i)**(3\/14)*(i**(-1))**(1\/9))**(-1\/30) assuming i is positive.\nAnswer: i**(11\/1512)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101100111001 + -10000001100001100?\nAnswer: -10000111001000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-3 + sqrt(304) + 3)**2 + sqrt(76)\/sqrt(4)*-5 + 5).\nAnswer: -10*sqrt(19) + 618","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 315\/(-1296)*14\/10 and 91\/120.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbb when three letters picked without replacement from ccbdddcbcdcbcdbc?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 83 - 128 + 15 + 16 - 12*g.\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28774 + -5236839\/182. Find the common denominator of -149\/78 and c.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 302336180.\nAnswer: 2, 5, 31, 337, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6970*w**4 - 716*w**3 + 44*w**2 + 19438*w - 1 wrt w.\nAnswer: 167280*w - 4296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/207812 and 35\/217258.\nAnswer: 4779676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -59.986 + 60. Let g = b - 0.044. What is the fourth smallest value in 3, g, -0.2, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k + 9*k - 24*k + 12*k.\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-2)\/5)\/((-9)\/11115)?\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138 = 9*z - 3. Let a(d) = d**2 - 11*d + 9. Let j be a(8). Is z < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + 17*v**2 + 22*v + 99. Calculate i(-16).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 5) + (-2 - -3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 r, and 1 v when three letters picked without replacement from hzvgqgzr?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 251199192 and 1284?\nAnswer: 251199192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2.100502 times 3\nAnswer: -6.301506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w - w + 2*w)*(-5*w**4 + 3*w**4 + 0*w**4) + w**5 - 2*w**5 + 2*w**5 + (8*w**3 - 33*w**2 + 33*w**2)*(w**2 + 2*w**2 - 5*w**2).\nAnswer: -11*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 520c3 (base 13) in base 10?\nAnswer: 147358","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41 (base 7) to base 13.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*s*z**3 - 499*s*z**2 - 457484*s + 720*z**3 + 2*z**2 + 159*z wrt z.\nAnswer: 72*s*z - 998*s + 4320*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 371, 0.5, -1 in decreasing order.\nAnswer: 371, 0.5, 0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 + 14.999973. Round v to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -0.4\nAnswer: -0.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3456467 is divided by 174?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 1136209 to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 12:56 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -356411, -712821, -1069231, -1425641, -1782051, -2138461?\n\"Answer: -356410*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus 147?\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66058 is divided by 1534.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 248.2084g to tonnes.\nAnswer: 0.0002482084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 61918*f - 43987?\nAnswer: 61918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of -l**6\/120 + l**5\/10 - l**4\/4 - l**3 - 648*l**2. Let m(j) = -j**2 + j + 1. Calculate -6*m(a) - u(a).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**4*((r*(r\/r**(-2\/5))\/r)\/r)\/r*r assuming r is positive.\nAnswer: r**(22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -137118, -137125, -137132, -137139, -137146?\n\"Answer: -7*j - 137111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 399, -5126, -14335, -27228, -43805, -64066, -88011?\nAnswer: -115640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from htzhhhzhhhhzhz. What is prob of sequence thh?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.98476161 and 0.00507.\nAnswer: -0.97969161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93b0e (base 15) to base 7.\nAnswer: 3660062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qlqlafffqy. Give prob of sequence qf.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6995874 divided by -1.\nAnswer: -6995874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 95.07664 tonnes?\nAnswer: 95076640000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -194\/5 or -10.1?\nAnswer: -194\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 10 + 3. Let l be (-4 + 7 - 1) + i. Suppose -8*x - 760 = -l*x. Round x to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-2 - -1 - -3 - -1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(-2\/7)\/x)\/x)**(-48)*(x*(x**1\/x)\/x)**28)\/(x**(-4)\/x**(-4)*x*x\/x**(-1\/7)*x\/(x**(2\/13)*x*x)) assuming x is positive.\nAnswer: x**(5526\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -5*f**4\/4 - 309*f**3\/2 + 1503*f**2\/4 - 283*f + 63 = 0?\nAnswer: -126, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 6*d + 25. Let x be m(6). Suppose 40 = 3*t - 2*k, 0 = 4*t - 5*k - 4 - x. Is 4 a factor of t\/(2*(-3)\/(-21))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8378477?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58258470.\nAnswer: 2, 3, 5, 181, 10729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 12*x - 7*x. Let u(c) = 5 + 11*c - 7*c**x - 2*c + 6*c**2. Let s be u(9). Is 11\/3 equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1641?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 823, 1117, 1393, 1645, 1867, 2053?\n\"Answer: -k**3 - 3*k**2 + 310*k + 517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -11, -2\/3, -5\/8, -5, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 255 and 595?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 329.3 to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 995?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - ((-3)\/132*(-82535)\/(-510) + 4\/(-3))?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(((-3)\/15)\/(4\/(-10)))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-7 + 9)*429\/(-792).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-23892)\/10 - (-3 - -1). Let k = d + 2378. Calculate the common denominator of -61\/9 and k.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001669693381 to 7 dps.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 - 1. Suppose 0 = 3*h - 5*w - 53, 4*w = h - 0*w - m. Suppose -h = 5*s - 1. Which is the closest to 1? (a) s (b) 1 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 522989 + -277488. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.069 - -0.069. Let k = -66 - -65.26. Let m = k - -0.24. Sort g, m, 0.5 in descending order.\nAnswer: 0.5, m, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 8 - 2)*(-2 - 1 - 1) + 7 + 8 + 57)*(3 + t**3 - 3).\nAnswer: 56*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18.91 - 18.9. Put 1\/2, 0.4, r in decreasing order.\nAnswer: 1\/2, 0.4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (660\/480)\/(2*(-2)\/32).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*s + 228 = -13*s. Let f = s - 66. Is 6526\/6 + -1 + (-3)\/f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/3)*c)\/c)\/(c*c*(c**(-1)*c)\/c)*(c**(-1))**41 assuming c is positive.\nAnswer: c**(-127\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(sqrt(2)*2) + sqrt(567)\/sqrt(9).\nAnswer: 7*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 7:38 AM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5055?\nAnswer: 3, 5, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 4 + 2 + (-3 + 1 + 1)*(-3 - 1 + 2) - 116 + 37 - 66)*(-5*i**3 + i**3 + 5*i**3) as n*i + t*i**2 + g + z*i**3 and give z.\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 4, 645, -2, 37 in descending order.\nAnswer: 645, 37, 4, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-3))\/(406\/87).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of 2*r - 5\/2*r**2 + 5. What is the tens digit of s(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -94 (b) -0.27 (c) -68 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9217321 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 20052 divided by 4?\nAnswer: 5013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -5*a - 10. Let q be j(-4). Suppose -q*g + 1280 = -70. Let d be ((-27)\/6)\/(5\/(-50)). What is the greatest common factor of d and g?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 + 2*w + 2. Let v be i(0). Suppose -k + v*k - 226 = -3*a, -k + 226 = -a. List the prime factors of k.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 18 = -3*p + 12, 4*t + 2*p - 60 = 0. Is (-4)\/10 - (-726)\/t a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of 65*p**4\/4 + p**2 - 43*p + 3. What is the second derivative of c(w) wrt w?\nAnswer: 390*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -579, -1, 3, 32, -48.\nAnswer: -579, -48, -1, 3, 5, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17635239.09043909 - -17635239. Let i = 5.79047809 + m. Let q = -5.7 + i. What is q rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((9 - 6 + 13)*(-2*k - 2*k + 0*k) + (3*k - 3*k + 2*k)*(-3 + 5 - 3) + 4*k + 0*k - 3*k)*(-2 + 0 + 3).\nAnswer: -65*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-5\/4)*(b**(1\/6)*b*b)\/b)\/(b\/(b*(b\/b**(1\/2)*b)\/b))**(-6\/11))\/(b**(-2)*b**(-3))**(-11\/7) assuming b is positive.\nAnswer: b**(-7589\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 5*i - 2*i - 4*i. What are the prime factors of x(-10)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76, -279, -618, -1093, -1704, -2451?\nAnswer: -3334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 + 2*r**2 + 5*r**2)*(-12*r**3 - 4*r**3 - 2*r**3) + (-r**5 + r**5 + 2*r**5)*(2 - 4 + 0).\nAnswer: -148*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 - (8892130\/(-338) - 1\/(-13)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnnk when four letters picked without replacement from knnnnnnknnknnnnnknn.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -60999*j - 10825 with respect to j.\nAnswer: -60999","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3726\/(-46)*-2*4\/(-24).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -68708 divided by -772?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 106987551 to the nearest integer?\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**2*m)**12)**(8\/5)*(m**3\/m**(-13))**50 assuming m is positive.\nAnswer: m**(4384\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1201, -1075, -4869, -10181, -17011?\nAnswer: -25359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -11, 5, 0, -2 in descending order.\nAnswer: 5, 0, -2, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 78\/156*(-1)\/(-2). What is the nearest to 1 in -3, 1, s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 47 in 0, -50, 3, 2, 3\/79?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 23 = 2*k, 16 = -4*i + 2*k + 50 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -548, -546, -534, -506, -456, -378?\n\"Answer: d**3 - d**2 - 2*d - 546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36804?\nAnswer: 2, 3, 3067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -x**4 + 43*x**3 - 576*x**2 + 2268*x = 0?\nAnswer: 0, 7, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4269379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -4, 2\/7, -2982?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23888 = -440*l - 752 for l.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 28\/(-350)*15*10\/6. Let a(p) = -31*p**3 - 4*p**2. Let w(l) = 30*l**3 + 5*l**2. What is q*w(i) - 3*a(i)?\nAnswer: 33*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 5*u - 3*c - 75, -4*c = u + 22. Let t be (108\/u)\/((-42)\/(-4)). Sort -2, t, -3 in decreasing order.\nAnswer: t, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -332 - 223 = 101*h - 151 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 454606 is divided by 8635?\nAnswer: 5586","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -169\/92127210 and 16\/46063605?\nAnswer: 92127210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 - 9*x + 2. Let v be l(9). Suppose 6*c = 4*c + 4. Let b be (2 - 12)*(-3)\/2. Solve -3*k + 2 = v*n - b, -c*k = 3*n - 13 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -22*d**2 - 22 + 3*d**3 - 20*d**2 + 17*d + 27*d**2 - d**3. Is 17 a factor of m(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*h + 10*h - 2*h + 0*h + 11 wrt h.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -108343 + 61523. Round m to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 110*z**3 - 5165*z**2 + 4825*z + 230.\nAnswer: 5*(z - 46)*(z - 1)*(22*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -12?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2439 (base 10) in base 3?\nAnswer: 10100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*p + 11461 - 11463 - p**3 + 8*p.\nAnswer: -p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-80))\/(6\/5).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -650*z + 6115 + 11435 for z.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 603 divide 121660462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 49\/21)*6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 648 and 3483?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 769874 + 1054460 + 1437835 = 59*h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000012692 to 7 decimal places.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j**2 + 8*j - 8. What is u(-8)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 + 11 + -2 + -2. Suppose -3*i + 67 = -2*i - 5*g, -3*g = -p*i + 213. Is 18 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.05631484 and 105276.48.\nAnswer: 105276.53631484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/222180 and -39\/4.\nAnswer: 222180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/5*d + 2\/5*d**2 - 8\/5 - 2\/5*d**3.\nAnswer: -2*(d - 2)*(d - 1)*(d + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*n + 5*v, -2*n = v + 2*v - 11. Let u(y) = y**3 - y**2 + 5*y - 8. What are the prime factors of u(n)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 + 4*w + 6. Let c be o(-4). Solve -c*y + 4 = -14 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2*sqrt(72) + sqrt(18))\/(sqrt(6) - (sqrt(486)*-2 - sqrt(486))).\nAnswer: 15*sqrt(3)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dvi when three letters picked without replacement from aitvd?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -969*z**6 + 2*z**2 + 150*z wrt z.\nAnswer: -116280*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 9212848 divided by -593\nAnswer: -15536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(5 + -1*sqrt(272))*4 + (-4 + sqrt(272)*1 + -3 + -1 + sqrt(272))*6)**2.\nAnswer: -20736*sqrt(17) + 168336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.45 - 0.05. Let g = p + 2.45. Let m = g - -3. What is m rounded to 1 decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -28, -42, -62, -88?\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6962 take away 0.6?\nAnswer: -6962.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 550 = -12*i + 7*i. Let k = -26 - i. Is k a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 - 344 = -2*y + 4*v, 4*y + 5*v - 637 = 0. Let h be ((-178)\/(-3))\/(4\/6). Let o = y - h. Calculate the remainder when o is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-one halves of a day?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*v + 197139 = -79371. Does 3 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 6:14 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**5\/21 - 3040*w**4\/3 - 8086400*w**3\/3.\nAnswer: -2*w**3*(w + 5320)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -33, 6, 77, 186, 339, 542, 801?\n\"Answer: x**3 + 10*x**2 + 2*x - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2. Suppose 0*m + 5*m = -5. Let a(w) be the second derivative of -w**4\/3 - w**3\/6 - w**2\/2 - 4*w - 25. Give m*a(v) - 5*s(v).\nAnswer: -v**2 + v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/10583 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41\/82 - (66\/15)\/(4\/3).\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and 5978786955869?\nAnswer: 5978786955866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mjc when three letters picked without replacement from {i: 1, c: 1, t: 2, o: 2, m: 2, j: 1}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3486?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3631?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 591159?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*s + 2*s = -60. Suppose -5*z - 2*b + s*b + 1781 = 0, 4*z + 3*b = 1411. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x - 23*x - 26*x - 67*x + 25*x - 35*x.\nAnswer: -128*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 + 4*h - 8. Suppose 0 = -35*p + 29*p - 1290. Let v = p + 237. What is the least common multiple of v and l(-6)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -6*m**3 + 26*m**2 - 10*m - 17. Let b(a) = -3*a**3 + 12*a**2 - 4*a - 8. What is -13*b(n) + 6*c(n)?\nAnswer: 3*n**3 - 8*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f + 4173*f**2 - 4174*f**2 + 0*f + 4.\nAnswer: -f**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4444785.\nAnswer: 3, 5, 98773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5396843763 - 908?\nAnswer: -5396844671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1020111000 + -12?\nAnswer: -1020111012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 211*p**2 - 7 - 8 - 7 - 213*p**2.\nAnswer: -2*p**2 - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-40)\/12)\/((-4)\/6). Suppose 37 = i*j - 3. Factor 1 + 6*d**5 - 4*d**3 - 2*d**4 - 1 - 2*d + 12*d**2 - j*d**4 - 2.\nAnswer: 2*(d - 1)**3*(d + 1)*(3*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 + -27 - (3 - 0 - (2 + 9))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 66 + (-10)\/15 + (-33)\/(-9). Let x = -46 + t. Suppose -x*h + 154 = -22*h. What are the prime factors of h?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 17*r**3 + r**2 + r. Is f(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 132 and 6?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1444544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 3306705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of z**4\/6 + z**3\/2 - 3*z**2\/2 + z. Suppose -3*q = -4*q - 66. Let j be 4\/(-5) - q\/(-30). Give n(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5668 + -21385\/4. Let k = s - 322. Sort -123, -1\/6, k in increasing order.\nAnswer: -123, k, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2645990 = -3*a - 2*h, 5*a - 3926723 - 483272 = -h. Round a to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 9 = 5*g, -35*g + 4*z - 12 = -29*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1501, -1564, -1627, -1690?\n\"Answer: -63*z - 1438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15766499?\nAnswer: 7, 179, 12583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -57*s + 54*s. Solve 0 = -3*x - s for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -114704536 divided by 2474.\nAnswer: -46364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bngbdnlnegedeebdbgdd. What is prob of sequence ldg?\nAnswer: 1\/456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of -7*m**5\/10 - m**4\/12 - m**3\/6 - m**2\/2 - 4*m. Let o = -4 + 3. What are the prime factors of a(o)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 2:03 PM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -343, -339, -335, -331?\n\"Answer: 4*p - 347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 129946 and 60888?\nAnswer: 92001768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 10 + 7*l**2.\nAnswer: 7*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - 7*r**2 + 5*r + 6. Let w be t(6). Let f be 2\/10 - w - 7\/(-15). Factor -2\/3*j - f - 1\/6*j**2.\nAnswer: -(j + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -244859*i - 125755.\nAnswer: -244859","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3302301320 (base 5) to base 6\nAnswer: 411325045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 2\/9, 21\/8, 1\/6, -1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 0. Let j = g - -111. Is 17 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 + 46*z - 236. Let w be ((-38)\/95)\/((-2)\/(2 - -198)). Calculate i(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 702231, 1404431, 2106631, 2808831, 3511031?\nAnswer: 4213231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*b**2*h**2 - 3*b**2 - 16*b*h**2 + 25*b - 105389*h**2 - 41*h - 29 wrt h.\nAnswer: 10*b**2 - 32*b - 210778","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 131124381 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20889 - 20890. What is the fifth smallest value in p, 5, 0.5, 3\/173, -3\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 - 1 - (3 + -5). Suppose -v - 1 - t = 3*o, -5*v + 5*o + 15 = 0. Let b(q) = -q**2 + 3*q - 1. Let n be b(v). Solve -3*l + 10 = n for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -532 = 148*k - 152*k. What is the remainder when k is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 16 - 31 - 5*z + 15. Let g(u) = -13*u**2 - 2*u. Calculate g(p(k)).\nAnswer: -325*k**2 + 10*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 221938894 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 - 9*s. Calculate the remainder when (18\/8)\/((-7)\/(-168)) is divided by p(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1003*q - 81*q = -172*q - 26256 for q.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2156451 is divided by 81.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -51+-865\nAnswer: -916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 - 14. Suppose 5*w - 29 = 3*w + 3*s, -5*w = z*s - 120. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -313 * 3.4\nAnswer: -1064.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 + 2*d + 2. Let b(s) = -17*s - 219. Let n be b(-13). Suppose -2*x - 3*x = -4*a + 47, n*a + 8 = -2*x. Calculate h(x).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 3 = -3*r - 0, -5*f + 3 = 3*r. Let u = 4 + -2. Suppose -5*j = -0*j + 5, -10 = -g + u*j. Solve -g = f*i - i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -150531 - -323?\nAnswer: -150204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -341, -369, -403, -449, -513, -601?\n\"Answer: -r**3 + 3*r**2 - 30*r - 313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, h: 5, i: 2, k: 1, m: 1, e: 3}. Give prob of sequence keee.\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 68371454 a multiple of 175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 2. Suppose 6 = -3*b, 6*f - 2*f + 4*b - 136 = m. Let s(t) = -t + 14. Let p be s(-10). What is the highest common factor of f and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 - 5*f - 6. Let h be x(-5). Is 120 + -1*h\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15.126 - 464.874. Which is the nearest to 2\/11? (a) 2\/7 (b) y (c) 0.1 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1512795*f - 1512740*f = -165 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -234686970 divided by 2646?\nAnswer: -88695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -1501206001?\nAnswer: -1501206005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, i: 8}. Give prob of sequence iiqi.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 45 + -113. Let k = 114 + u. Suppose -3*s + 6 = 3*c - 24, k = 5*c + 4*s. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6180\/880 - (17 - 10)\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, z: 1, v: 3, w: 1, y: 1, n: 3}. Give prob of picking 1 n, 1 v, and 1 z.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 74 - 72. What are the prime factors of (-2 - 0)\/(-2)*20*z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -228 - -228. What is the third smallest value in -3, 1\/8, j?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9.5 + 9. Which is the third biggest value? (a) 3 (b) 0 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -33.407\nAnswer: -31.407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 4*i + 4*h, -4375*h - 4389*h + 8781*h = -4*i - 111 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 82678?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13032820?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-40)\/(-192)*-4.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4292374, 8584751, 12877128?\nAnswer: 17169505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 189 + 2*c - 82 - 107.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 divided by 27039?\nAnswer: -16\/9013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1802852.1 months?\nAnswer: 1502.37675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of j**5\/30 - 25*j**4\/6 + 49*j**3\/3 - 175*j**2 + 3. Factor z(a).\nAnswer: 2*(a - 49)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -2*g + 3*b, -4*g + 7*b - 8*b - 7 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19738789 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6563 - 0)*1*1. Let y = -72247\/11 - t. What is the common denominator of 38\/3 and y?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9877681 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 0*r - 2 = -5*g, -4*g + 1 = 3*r. Let h(i) be the first derivative of -r*i**2 - 1\/2*i**4 - 2*i**3 + 1 - 2*i. Factor h(u).\nAnswer: -2*(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -281439441*z**3 - 379041557*z**2?\nAnswer: -1688636646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 8. Let n = g - -4. Let d(c) = c - 4. Let k be d(n). Put k, 5, -3 in decreasing order.\nAnswer: 5, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of r**4\/36 + 61*r**3\/3 - 151*r. Suppose i(f) = 0. What is f?\nAnswer: -366, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 677.47 + -674.47. Let r = -6 + 46. What is the third biggest value in r, c, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k - 1. Let d be v(-21). Let q = d - -92. Calculate the remainder when q is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -4*x + h + 15, -4*x = h - 13. Let y be (-1)\/(-2)*-2 + -1. What is the biggest value in -3, x, y?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*g, 403 = 3*n + 3*g + 121. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qmqaqmaimqa. Give prob of picking 1 i and 2 m.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 77 - 71. Let n(h) = 3*h**2 - 3*h. Let r be n(i). Suppose -s - r = -7*s. Does 5 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 1)*(4 - 4 + 3 + (-4 + 2 + 1)*(4 - 1 - 1) - 2 + 1 + 2)*(-8*t + 2*t + 2*t).\nAnswer: -24*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k*k\/(k*k**(2\/21))*k))\/k)**(2\/43)\/(k**(1\/34)\/((k*k*k**(-18)\/k*k)\/k*k)) assuming k is positive.\nAnswer: k**(-496283\/30702)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 5*q, -2*d - 4*q = -5*q. Are d and 60 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4543 is divided by 71?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -5*l**3 - l**2 + 3*l + 3. Suppose 0 = -4*x + 5*g - 14, 3*x = -g - 4 + 3. Let a be z(x). Solve 0*v + a = -2*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-9\/7)*u**0)**(2\/11) assuming u is positive.\nAnswer: u**(32\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -5*h, -27 = -5*j - 2*h + h. Suppose -4*q - j*n + 226 = 0, 0 = -5*q + 4*n + 231 + 72. Does 23 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31 (base 11) to base 5.\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4 and 249?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 31531 - 3212525?\nAnswer: -3140554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25 - 4) + -10 + -1 + -6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 10 = -2. Let s(h) = h**3 - 3*h**2 + 2*h - 3. Let k be s(2). What is the remainder when (-1 - -12)\/(k\/(-6)) is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o\/o**0*o*o\/(o*o**(1\/10))*o*o**(-9)*o\/(o*o**(2\/7)\/o))**(19\/3) assuming o is positive.\nAnswer: o**(-1501\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of 2*r**3\/51 - 120*r**2\/17 + 7200*r\/17 - 13. Factor t(v).\nAnswer: 2*(v - 60)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 540361477 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 16 = 4*t. Let u = t + 23. Suppose -b = -u + 1. Is b even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/4 + 29\/(609\/(-120))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 37*x - 35*x + x**3 - 10*x**2 + 0*x**3. Is 5 a factor of q(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millimeter in micrometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + 2*c + 4. Let d be r(0). Let i be -6 - 51*-6 - d. Calculate the greatest common divisor of i and 111.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 14\/181, -0.2, 17\/2?\nAnswer: 14\/181","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.4 + 4.6. Let i = h + -10. Let t = i - -7. What is the nearest to t in -0.5, 2\/15, -4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29 and 493?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3\/2, -21, 19\/255?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2178, -2198, -2218, -2238, -2258?\n\"Answer: -20*w - 2158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -5*m. Let b(a) = -6*a. Let h(w) = -3*b(w) + 4*t(w). Let u(l) = -3*l. Determine 9*h(r) - 5*u(r).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 938.3716 years?\nAnswer: 9.383716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -1223*n + 776. What is the hundreds digit of q(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)\/(3*sqrt(11)*-5))**2*4.\nAnswer: 28\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 7*f - 5*x = -8, -5*x = -10. Suppose -f*c + 651 = t, -5*t = -4*c - 4000 + 815. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 12 = -2*r - 28, -3*o = 6 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 244 + -84. Let g = w + -155. What is the closest to 1\/35 in -3, 3, g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 divided by -12102\nAnswer: -5\/2017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/1442 and 67\/27993?\nAnswer: 5766558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -116*k**2 + 92*k + 178. Determine u(-2).\nAnswer: -470","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4, -7, 0, 23, 68, 141?\n\"Answer: d**3 - d**2 - 7*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 638169\/5 less than 127634?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*d)*(8*d - 21*d + 17*d).\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 2 t when four letters picked without replacement from vtvvtvvtttvtt.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 PM and 3:31 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 271 = -21*k + 313. Sort -3, -32, k.\nAnswer: -32, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 - -32. Suppose z = -g + 5*g. Is 13\/4 + 3\/g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -h + 4*b, 4995 = -2*h + 3*b + 4986 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -k - 6. Let u(n) = n. Let p(g) = -6*g. Let b(s) = -2*s - 3. Let l be b(-2). Let h(w) = k*u(w) + l*p(w). Calculate h(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 11\/673?\nAnswer: 11\/673","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11 - -41411?\nAnswer: 41410.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7814364 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -8. Let q = x - -8. Solve 0 = -q*v + 4 + 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of 4*l**8\/7 - l**5\/5 - l**4\/12 + 65*l**2 - l + 16. Find the third derivative of c(s) wrt s.\nAnswer: 3840*s**3 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.22*0.25.\nAnswer: -0.805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -63, -257, -589, -1065, -1691?\n\"Answer: -g**3 - 63*g**2 + 2*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r**23\/r)\/r*r))\/(r*r\/(r\/(r*(r**(-4)\/r)\/r)))*r**12\/(r**23*r) assuming r is positive.\nAnswer: r**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -2*k + 11, -7 = 5*k - 32. What is the third biggest value in -2\/7, j, -2\/31?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.75*-135.\nAnswer: 101.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 4*p**2 - 15. Let d(t) = -t**2 - 1. Let y(a) be the third derivative of a**5\/15 + 5*a**3\/6 + 9*a**2 - 5*a. Let s(w) = 5*d(w) + y(w). Give u(s(x)).\nAnswer: 4*x**4 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 + 46. Let k = w - 32. Suppose -3 = 3*r - 3*u + 18, 5*r - 2*u + 20 = 0. Put 4, r, k in ascending order.\nAnswer: r, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 439 divided by 3.\nAnswer: 439\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 - -19 - (-10 - (21 - 3)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 12:51 PM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + 3*y + 2*y**2 + 2*y. Let v be (2\/(-4))\/1*-62. Suppose 3*o + v = -5*u, -3*o - 2 - 4 = 0. Give t(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 53 + 27)*(0 - 7 + 7 - 13*m).\nAnswer: -1170*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -7*g - 5. Let p = -4 + 7. Let b(u) = -p*u - 6*u + 3*u + 1 - 5. Let x(v) = 5*b(v) - 4*q(v). Let i(c) = 2*c**2. Calculate i(x(h)).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 145402, 145397, 145392, 145387?\nAnswer: 145382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-6\/13)*x*x**6\/x*x*x*(x**16*x)\/(x**1*x))**43 assuming x is positive.\nAnswer: x**(12599\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 163971942 to the nearest integer?\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4916 by -5.\nAnswer: -4916\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 850696?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 24 = 3*l. Let y(z) = 4*z + 4. Let c be y(l). Let n(a) = -a**3 + 5*a**2 - 12. Let v be n(4). Calculate the greatest common divisor of v and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 24, 3 in decreasing order.\nAnswer: 24, 4, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 - -1 - (-25 - -94) - -69.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-5)*h\/(((h**2*h*h)\/h)\/h*h)*h)\/(h**(4\/9)\/(h**(-1\/3)*h*h)) assuming h is positive.\nAnswer: h**(-43\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -8*v + 3. Let i be (-1*28)\/4*-1. Suppose -s - i = -9. What is h(s)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 474*a*c*j**2 - 111*a*j**2 - 3*j wrt c.\nAnswer: 474*a*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ktktjkktktttjkwtttkk. Give prob of picking 2 k and 1 w.\nAnswer: 7\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94074?\nAnswer: 2, 3, 15679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00204504 to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -126 or -1387?\nAnswer: -1387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/(-12))\/(2\/76). Let l(x) = -x**3 - 17*x**2 + 23*x + 147. Let v be l(-18). What is the highest common divisor of y and v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 209898?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 20455.3871 to 0 dps.\nAnswer: 20455","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 20612*d - 20623. Determine m(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -157618686 by -6.\nAnswer: 26269781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.06 - 0.06. Put p, 3, -0.3 in decreasing order.\nAnswer: 3, p, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 - 3*h + 5. Let o be u(-4). Let x be -22*(-1)\/(2 - o). Let z = 8 - 5. Solve r - 2*f = -6 - 7, x = -2*r + z*f for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 211303 + 513?\nAnswer: 212220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/(-4*(-5)\/20). Suppose -58*t = -53*t + q. Let f(s) = 120*s**2 + 3*s + 5. Is f(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 5*p - 3*m, -133*m = -129*m - 16 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/(k*k\/(k\/(k\/k**(-1\/3)))*k))**(-7\/6))**(-1\/34))**(-6))**(-34) assuming k is positive.\nAnswer: k**(-49\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 93504.9 rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1937*f + 774*f + 184348 for f.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1332 + 2300322?\nAnswer: 2232330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 3\/9)*3*(-1 - -6).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 908*n - 902*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 - -21. Let k(r) = 0*r**2 + 5*r**3 + r**2 + 5*r**2. Let c(g) be the second derivative of -3*g**5\/10 - 7*g**4\/12 - 2*g. Calculate y*c(t) + 7*k(t).\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, u: 2, r: 3, v: 2}. Give prob of picking 2 v and 2 u.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1287457.\nAnswer: 1287457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2397527, -5, 0 in decreasing order.\nAnswer: 2397527, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 + 1 = i + 5*y, -5*i + 75 = 5*y. Suppose -i*u = -41 - 9. Let j(w) be the first derivative of -w**3\/3 + 5*w**2\/2 - 2*w - 1. Determine j(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37 + -18. What are the prime factors of s*-2*(-1)\/2?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = 2*v - 6, -v + 1 = p + 3*p for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/(-3))\/((-8)\/(-300)*5). Let v = o - 1. Let k be (-1*6\/v)\/(16\/(-136)). Which is smaller: -3 or k?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 216\/(-6)*(1 - 15\/9) and 14.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -724, -1682, -2672, -3694, -4748, -5834?\n\"Answer: -16*m**2 - 910*m + 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, w: 2, e: 1, s: 2}. What is prob of picking 1 w and 1 h?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(540) - (sqrt(540) + (sqrt(540) + 2*sqrt(540)*1 - sqrt(540)) - sqrt(540)))\/(-4*sqrt(1200)).\nAnswer: -1 + 3*sqrt(5)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3204355691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -8351400 rounded to the nearest ten thousand?\nAnswer: -8350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {t: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -l + 2*l. Solve 0 = l*p - 3*d + 9, -2*d - 1 - 1 = -4*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22\/71 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 + 1)*(-2*o + 1 - 1) - 2*o + 0 + 0)*(4*o**2 - 3*o**2 + 2*o**2).\nAnswer: -12*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 272 and 1703848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -262*t**4 + t**3 - 195*t + 44*t**2 - 136*t - t**3 - 42*t**2 wrt t.\nAnswer: -6288*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 10) in base 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8414?\nAnswer: 2, 7, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of l**4\/12 + 19759*l**2. Let k(b) = -26*b**2 - 3*b + 3*b. Give k(q(m)).\nAnswer: -104*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -171 + 73. Let o = 144 + a. What are the prime factors of o?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4880644 to the power of 1\/2, to the nearest integer?\nAnswer: 2209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2569.41 - 2641. Let o = h + -5.31. Round o to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -8. Suppose -n = -y - s, 0 = -s - 4*s + 20. Let u(a) be the second derivative of a**5\/20 + a**4\/12 + a**3\/6 + 4*a**2 - 2*a. Determine u(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -6*c. Let f(q) = 32906*q**2 - 3. Give f(g(j)).\nAnswer: 1184616*j**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 9*h + 8. Let z(q) = 2*q. Calculate -a(u) + 6*z(u).\nAnswer: 3*u - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 19*x**2 - 56*x + 285. Calculate the remainder when m(6) is divided by 31.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1b9458 (base 14) to base 2\nAnswer: -11110000101101100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/29)*q)\/q**43)\/(q**(-5\/3))**(-4) assuming q is positive.\nAnswer: q**(-4240\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -15*o - 4257. Calculate x(-317).\nAnswer: 498","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -329 (c) 0.1 (d) -0.4 (e) -1\/3 (f) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 26888313*d**2. Let r(b) = b**2. Give w(r(g)).\nAnswer: 26888313*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 241126?\nAnswer: 2, 120563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8945?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 652726671 a multiple of 3693?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 35 and 524872061.\nAnswer: 2624360305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -19, -64, -137, -238?\n\"Answer: -14*j**2 - 3*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ro when two letters picked without replacement from reeorotmrrrrrc.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, m: 2, j: 1, k: 13}. Give prob of picking 2 m and 1 j.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, f: 4, i: 5, w: 1, g: 9}. Give prob of picking 1 w, 1 f, and 2 g.\nAnswer: 48\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 875?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 - y - 3. Let z be c(0). Let h be 3*(-1)\/z - -1. Suppose -s - 5*d + h = -1, d + 2 = 0. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1632 and 7230528?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01 - -1798831.\nAnswer: 1798830.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4572?\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27846626 to the nearest integer?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/10)*r)\/((r\/(r**(2\/19)\/r)*r)\/r))\/(r*r**(-1)\/r*r**1) assuming r is positive.\nAnswer: r**(-151\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-66)\/(-42) + (-1)\/(7\/(-3)). Let k be (1 + 6\/(-4))*-4. Suppose 0 = -k*q - h*q + 16. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22145 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -12. Suppose -h*o + 6 = -3*o. Suppose 0*g - z - 4 = -g, 0 = 2*g + z - o. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 - -20. Let v(b) be the second derivative of -1\/12*b**4 + m + 1\/6*b**3 + 0*b**2 + 2*b. Factor v(r).\nAnswer: -r*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z - 18*z + 4*z = 0. Solve -3*f + 2*d + 6 = z, -4 = f - 3*f - 5*d for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3880 < 1142?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 2*k - 3*k)*(-3*k + 49*k - 6*k)*(13 - 7 - 8).\nAnswer: 160*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 28226962 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -20, 1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from qhsssqhsqsssq.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 29840879 to the power of 1\/5, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + 3*w**2 + 2*w + 17. Let v be j(0). Solve 0 = 21*r + v*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 22*y - 743. Calculate the lowest common multiple of v(34) and 2088.\nAnswer: 10440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7636 and 140484?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 28196, 28195, 28194, 28193, 28192, 28191?\n\"Answer: -w + 28197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lzzllzzlnzzlllddzyzl. What is prob of picking 1 d and 1 l?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*m + 28. Let k = m - 4. Suppose 15 = 4*b - y, 5*b = 6*b + 4*y + k. Solve -b*q + 5*q = -6 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2485224*z**4 + 6338023 wrt z?\nAnswer: 9940896*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of 2*x**3 - 1276. Let i(m) = -m + 1550. What is i(u(k))?\nAnswer: -6*k**2 + 1550","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 115\/88 + -1146\/11. Let h = 103 + j. Which is the second biggest value? (a) -3\/2 (b) h (c) -0.2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 + 4*z - 15. Let r be n(-9). Suppose 0 = 5*l + 2*h - r, l + 5*h - 29 = -0*l. What is the lowest common multiple of l and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -219 (b) -2\/21 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*m**2 + 3*m**2 - 3*m**2 + (6 - 4 - 3)*(1 - 1 + 2*m**2) + m**2 - m**2 - 2*m**2 - m**2 + m**2 - m**2.\nAnswer: -10*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/7 of a week in hours?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37 by 9.\nAnswer: 37\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k + 4. Let p = -8 + 8. Suppose p = -2*r + 5*s - 21, 2*r = -3*s - 2 + 5. What is f(r)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d**3 + 85*d**2 - 7*d + 69. What is the thousands digit of f(-39)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i - 110. Let g be r(-47). Put -5, g, 7 in decreasing order.\nAnswer: 7, -5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, j: 5, w: 1, z: 1, r: 2}. Give prob of picking 1 c and 1 z.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 28*d**2 - 3*d - 3. What is m(-1)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1))**(23\/4))**(-2) assuming m is positive.\nAnswer: m**(23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20459, -20476, -20507, -20558, -20635, -20744, -20891, -21082?\nAnswer: -21323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 5:09 PM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/25))**(-45) assuming g is positive.\nAnswer: g**(9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2138*i + 9076 + 27270 = 0 for i.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*n - 2*n**2 + 0*n - n**2 + n**2 - 2*n**2 + (0*n - 2*n - 4*n)*(-2*n - 1 + 1) as b*n + u + s*n**2 and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46 - (-6)\/12*(0 - 0).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 54052?\nAnswer: 54046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + l + 0*l = -91324, -30420 = c - 5*l. Let x = -608923\/20 - c. What is the common denominator of 39\/40 and x?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1069937452?\nAnswer: 2, 267484363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38630 is divided by 237.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h = 68 - 50. Solve -h*t = -4*t - 2*a + 10, 0 = -2*t - a + 10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*h**2 - 8*h + 5*h + 0*h - 6*h**2.\nAnswer: 34*h**2 - 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 2*d + 6 = -7*y + 6*y, -3*d + 15 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 15 - 10 + 2*h + 29.\nAnswer: 2*h + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-35\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 48388 (b) 2\/13 (c) -0.5 (d) 0.5 (e) 0.6 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 273 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -19*x + 9*x + 5*x + 4*x. Let l = -11 + 17. Let g(w) = 2 - 4*w**2 + 4 - l. Calculate s(g(o)).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -h**5\/60 + h**4\/8 - 7*h**3\/6 + 241*h**2\/2 - 210. Let o(x) be the second derivative of d(x). Give o(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 4*n - 2*n - 4, -3*n - 15 = -5*g. Let k(l) = l + 10. Let r be k(-7). Suppose -r*v + 51 = 18. What is the remainder when v is divided by g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23720 + 23720.009429. What is m rounded to 4 dps?\nAnswer: 0.0094","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*i**2*w**2 + 2*i**2 + 2*i*p*w**3 + 2*i*p*w + 11*i*p - 2*i*w**3 wrt w.\nAnswer: -4*i**2 + 12*i*p*w - 12*i*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**4 + 196*q**3 - 1014*q**2 + 1640*q - 824 = 0. Calculate q.\nAnswer: -103, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -99 - -102. Solve 0 = -3*c + x*v - 21, 0 = -c + 4*v - 13 - 3 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**(1\/26)*f\/f**(-2))**(1\/6) assuming f is positive.\nAnswer: f**(131\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from rrrrrreerrrerrrr.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 292319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, d: 2, r: 3, f: 3}. What is prob of sequence dfru?\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -115*t**6 + 304*t**2.\nAnswer: -13800*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((z\/(z\/(z\/(z\/z**(1\/4))*z)))\/z)\/z)\/z)\/z*z)**(-31)*z*z**(-2\/5)*z**(-2\/15) assuming z is positive.\nAnswer: z**(3283\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-160)\/(-2310) + 9 + -9 and -41\/21.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*y + 19*y - 12. Solve 6*i - y*i + 20 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*j + 3066 = -50*j for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 81*j**3\/5 + 732*j**2\/5 + 249*j - 390.\nAnswer: 3*(j + 5)**2*(27*j - 26)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 24.8? (a) 1\/8 (b) 75.72 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3515*o + 7 = 3513*o, -5*q = 3*o - 7. Let m = -1 + 1.04. Let s = 5 - 5.3. Which is the fourth smallest value? (a) s (b) m (c) q (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4650377 rounded to three decimal places?\nAnswer: -0.465","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p - 18 = -8*p. Let h be (2 + 1)*(-8)\/p. Does 8 divide 32\/(-10)*(-10)\/h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 20d2 (base 15) to base 10.\nAnswer: 6947","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -92\/1575 and 67\/225.\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 12604252 divided by -16964\nAnswer: -743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002767352557 rounded to 5 dps?\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.09 - 0.28. Let q = 0.23 - f. Round q to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27726\/7 or 3960?\nAnswer: 3960","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23166 = j - 23179 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 minus 1165225302544?\nAnswer: -1165225302544.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b**2 - 1277*b - 65073. Give m(-46).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, a: 4, q: 1, v: 2, j: 4, h: 6}. Give prob of picking 1 v and 1 j.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2987 is divided by 178?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 356, 664, 972?\n\"Answer: 308*k + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/171 and 59\/108.\nAnswer: 2052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -15*b. Let y(i) = 8*i**2 - 6*i - 6. Let r(k) = -286*k**2 + 13 + 13*k + 126*k**2 + 143*k**2. Let u(c) = -6*r(c) - 13*y(c). Calculate u(s(q)).\nAnswer: -450*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74807 is divided by 36926?\nAnswer: 955","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of ((-77)\/(-11))\/(0 - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a - 1. Let t be j(-2). Let z = 1626 + -1622. Suppose -t*b = -b - 8, 0 = d + z*b - 125. Does 13 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(65)\/(sqrt(15)\/(sqrt(15)\/sqrt(5)))*-4.\nAnswer: -16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -20.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4\/(-6))\/((-14)\/(-72)))\/((-5)\/(-35)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 197220 and 245632?\nAnswer: 637415040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - 12*y**2 + 10*y + 18. Let v be m(11). Suppose -v*g + g = -288. Let r(i) = 85*i - 48*i - g*i. Let z(o) = 2*o. What is r(z(k))?\nAnswer: -22*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 133 + 131 = 2*j, -3*j = 10*d + 15 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/sqrt(6)*5 - sqrt(3) - (-1*sqrt(3) + -2))*1 + -3 + -3.\nAnswer: -4 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1237\/48 + 25\/16. Let d = w - 28. Let k = -8\/35 - 2\/35. Which is the second smallest value? (a) d (b) -0.4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 198 + -196. Which is the fourth biggest value? (a) 5 (b) o (c) 2\/5 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 140079\/1976 + -922\/13. Is 0 >= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 6*j**2 - 3*j - 8. Suppose s - 6*s = 30. Let n be y(s). Does 14 divide ((-28)\/(-10))\/(1\/n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (146\/(-4) - 2)*1\/(-6) and -85\/174.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 2189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -46, 1, 1642.59, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*f + 8*f - 2139*f**2 + 2*f**3 + 1786*f**2 in the form r*f**2 + l + v*f**3 + m*f and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 8) in base 15?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 + 2*r**3 + (2*r - 2*r + r**2)*(0*r + 2*r + 2*r) + (2*r**2 - r**2 + r**2)*(3*r - 4*r + 0*r).\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.133 + -3.0021. Round h to two dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000202322656 to seven dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(378)\/sqrt(9)*-4)\/sqrt(3))\/(sqrt(42)\/((sqrt(48)*1)\/sqrt(8))).\nAnswer: -4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -10406, -41407, -93046, -165299, -258142, -371551, -505502?\n\"Answer: 4*b**3 - 10343*b**2 - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus -955000372420?\nAnswer: -955000372420.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/2 + 348727*h\/2 - 174364.\nAnswer: (h - 1)*(h + 348728)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33.4 + 29.24. Which is smaller: 1\/2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(9\/6) - 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -950.6 + 1090. Let u = b + -124. Round u to the nearest integer.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/1700 and 41\/40?\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/28 of a week in hours?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 238 - 119. What is the remainder when h is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 13, i: 5, d: 2}. Give prob of picking 4 i.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 204895970?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1546, -1927, -11330, -29621, -59758, -104699, -167402, -250825?\n\"Answer: -493*k**3 - 7*k**2 - k + 2047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 0.3, 5, 1\/6, 157, 31, 0.4 in descending order.\nAnswer: 157, 31, 5, 0.4, 0.3, 1\/6, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175792752.\nAnswer: 2, 3, 1220783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -259909 - -18454133\/71. Is r less than or equal to 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 10. Let k = 6 + v. Solve j + 2*j - k = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = -2*f + 7, -3*z = -33080*f + 33077*f + 15 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*w**2 + 22*w**2 + 14*w**3)*(-9 - 2 + 2)*(-3 + 19 + 1).\nAnswer: -2142*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a = -5*f + 12*a + 3411, f = a + 678. What is the remainder when f is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*z**3 + 37*z**3 - 2 + 2.\nAnswer: -20*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -24?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -546287 or -546279?\nAnswer: -546287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1133201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 457901.\nAnswer: 31, 14771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -4*m**2 - 1072*m - 18. Let r(i) = -2*i**2 - 535*i - 10. Give 5*h(y) - 9*r(y).\nAnswer: -2*y**2 - 545*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/12)\/(4\/115568) - -1. Suppose 0 = 3*x - 40989 + j. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**5 + k**4 - k**3. Let n(y) = -6*y**5 + 3*y**4 - 3*y**3 - 31*y**2. Let x(l) = -3*j(l) + n(l). Find the third derivative of x(d) wrt d.\nAnswer: -180*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -0.67, 0.2, 1, 2\/3, -1\/2 in descending order.\nAnswer: 1, 2\/3, 0.2, -0.2, -1\/2, -0.67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 388*u + 126*u - 48*u.\nAnswer: 466*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -4 (b) -1\/6 (c) -3 (d) 0.805\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 + z + (6 - 3 - 2)*(0*z + z + z) + 2*z - 2 + 2 + 4*z - 3*z + 3*z to o + f*z and give f.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 3:56 PM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.9 - 0.6. Let k = 1.3 - x. Let u = 6 - 10. Which is the nearest to 2\/7? (a) k (b) 5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 <= -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 42, -2\/11, 0?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 135434\nAnswer: -2\/67717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2862 and 99161145.\nAnswer: 198322290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 374677592 by 35999.\nAnswer: 10408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2481459 is divided by 5825.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(-21))\/(((-67)\/(-180))\/67)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-9) - 28\/(-12). What is the derivative of f - a + 6 + f + f wrt f?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5\/7 (b) 0.5 (c) -0.2 (d) 11 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 77 in 8, 4\/7, 0.07, 3, -2\/11?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.36, -0.1, -6, 1\/6, -1\/4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 171 - 222. Let j = p - -55. Let h(d) = 2*d + 1. Give h(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 260 or 16085\/62?\nAnswer: 16085\/62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 583.15697 rounded to the nearest ten?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.113 + 0.113. Which is the nearest to 8? (a) -0.5 (b) -1 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 242283648?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 670 and 1206?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of 3*o + 3 + 1\/2*o**2. Let t be m(-1). Solve 11 = 3*x + 4*l, -t*x - 5*l + 4 + 8 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -20214?\nAnswer: 20204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 d when two letters picked without replacement from {d: 2, g: 1, o: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3655634 to the nearest integer?\nAnswer: 1912","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 21760292 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1147134 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*l + 76*l - 27*l = -4*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 9*g + 6. Let i(h) = h**2 - 7*h + 7. Let k be i(5). Let m be ((-10)\/(-30))\/(1\/k). Let x(b) = -b - 1. Calculate m*s(v) - 6*x(v).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 112 = -5*o - 13, 3*o = 3*k - 96. Suppose 150 = -541*m + 546*m. What is the lowest common multiple of m and k?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3044510363 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 + -0.2. Let f = -0.27 + 0.259. Let z = -6.011 - f. Which is bigger: n or z?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.07, -13.7, -2, 0.1, 1\/2?\nAnswer: -13.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 395714386?\nAnswer: 2, 2917, 67829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12423767?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 - -14. Which is the third biggest value? (a) x (b) -1 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -25853 + -2?\nAnswer: -25855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1124)\/7216)\/1 + 6\/8. Let d = -2\/41 + h. Which is the third smallest value? (a) d (b) 0 (c) 0.066\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 3)*(-i + 2*i - 3*i).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/5 (b) -1 (c) 29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 36680243*o**3*t - 45685365*o**3 wrt t.\nAnswer: 36680243*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 11121110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 3:09 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5 - (-3 - 3\/1)*8901\/10620 and 41\/35.\nAnswer: 4130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = 4116 + 5886. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 420 - 420. Suppose 15*t - 193 - 47 = p. Solve -5*k - t = 2*z, -6 - 20 = 5*k - 3*z for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - w. Let g = w - 3. Put g, -2, 2 in descending order.\nAnswer: 2, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -450 at least -5866\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (1*-1)\/(731964\/(-28152) - -26) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 2*l - 4, -5*y - 2*l - 2 = -3*l. Suppose -46*a - 44 = -57*a. Is y greater than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 43*c**2 - 133*c - 5737. What is x(-43)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-4\/3)*p**3*p*p**(2\/23)\/(p*p\/p**(-1\/5))*p\/((p\/((p**3*p)\/p))\/p)*(p*p*p\/(p\/(p*p*p\/p**(1\/3)*p))*p)\/p*p**(-6\/7)*p*p*p*p\/p**0*p assuming p is positive.\nAnswer: p**(34687\/2415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 - 7*a + 7. Let i(k) = -k**3 + 13*k**2 - 12*k + 3. Let s be i(12). Suppose -s*u - 31 = 5*c, -4*u + 6*c - 2*c = 20. Calculate t(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1027, 1847, 2593, 3391, 4367?\nAnswer: 5647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 0. Suppose -20*b - 12 = -24*b. Let d(p) = -p**b - 5 - 5*p**3 + 7*p**3. What is d(x)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 46.002 and 6.66975181.\nAnswer: 52.67175181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -4*q - 19, -3*q - 2*q - 30 = 5*b. Let g be (-45 - (4 + -3))*b. Are g and 47 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 16) to base 8.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*t = 39*t + 1151. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/110704 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*w + w - 20, 3*n = -5*w - 11. Suppose -h = -10 + n. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/28 and 27\/7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26465*g + 53427*g - 27023*g.\nAnswer: -61*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4350866511 to 2 dps.\nAnswer: 0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.0349 or -10124?\nAnswer: -0.0349","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11076 and 104.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 + 20 - 48*t**3)*(-2*t**2 + 3*t**2 + 0*t**2) + (-3 + 1 + 1)*(-6*t**5 + t**5 + 3*t**5).\nAnswer: -46*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-48)\/40)\/((-3)\/20). Let a = o - 13. Let n be a\/(-60) - (-2)\/8. Which is greater: 0 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 43*b - 120. Let w be o(3). Put w, 1, -15 in decreasing order.\nAnswer: w, 1, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of -5*n**4\/4 - 4*n**3\/3 - 4*n + 59. Let y(t) = -t**2 - 1. Determine -4*y(u) + z(u).\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - 2*s**2 + 2. Let o be p(2). Suppose -6*g + 40 = -o*g. Suppose -11*y - 523 + 666 = 0. Calculate the lowest common multiple of y and g.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -29*d - 168. Is g(-10) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -56*g - 383. Let a = -12 + 24. Calculate the remainder when s(-7) is divided by (-4)\/a + (-48)\/(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 10:16 AM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 5) + -76 + 75?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-108)\/7 - (5 - 4)) + 56\/(-98)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1 - 2.9. What is the third biggest value in 5, b, -2\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/10, -1, 66, -3\/4?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x**2 + 107. Calculate the remainder when 13439 is divided by a(6).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(17) - sqrt(153))*-2 + sqrt(51)\/(sqrt(18)\/sqrt(6)) + 5)**2.\nAnswer: 40*sqrt(17) + 441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9 + 324924?\nAnswer: 324917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -301.991206 - -302. What is l rounded to three dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) 210\/11 (b) -0.2 (c) 23 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 4*a - 21 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*i + 123 = 31*i. Solve -4*g + 36 = -3*s - s, 5*s = 4*g - i for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 614320952.\nAnswer: 2, 7, 2143, 5119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1470*b**2 + 69*b**2 + 1044*b**2 - 152*b**2.\nAnswer: 2431*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1 + (((sqrt(90)*-2*1)\/sqrt(6))\/(sqrt(50)\/sqrt(90)*3) + -1)**2.\nAnswer: 4*sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h**2 + 11*h + 27. Let z(i) = i**2 - 5*i - 14. Let c(q) = 3*n(q) + 5*z(q). Let d be c(8). Let t = d + -6. Is t a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 12 + -17 + (0 - -4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3547893 and 0.3.\nAnswer: 1064367.9","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2869385.\nAnswer: 5, 41, 13997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6090.9 rounded to the nearest one hundred?\nAnswer: -6100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 2646968.\nAnswer: 39704520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39\/(35\/(-1400)*-130).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171900 is divided by 57.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.031257 from -14.\nAnswer: -14.031257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(((-5)\/80)\/(3\/22*2596\/708))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/65880 and -3\/560?\nAnswer: 922320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wgnj when four letters picked without replacement from jltnltgglnwlnnnngt?\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8 (b) -0.3 (c) -388 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 3 = -18. Solve b + i = -1 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + 4*l**2 + 2*l - 9. Let a be (2\/(-26))\/((-109)\/2834). What is j(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210 a factor of 7682850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate g**3 + 814*g**2 - 3*g + 103857 wrt g.\nAnswer: 3*g**2 + 1628*g - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 192 by -2.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -282 + 4797\/17. Suppose 2*u = 2 + 4. Suppose -c - 2 = z, -4*c = -0*z - u*z - 13. Is x less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -54063, -108133, -162199, -216261, -270319?\n\"Answer: 2*q**2 - 54076*q + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 40 = 2*h, 0*v + 5*v + 3*h - 62 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/5 + 48162*m + 2899472805.\nAnswer: (m + 120405)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w - 14*w - 2*y = -18, -w - 3*y = -12. Let g = 0 + 0. Suppose -45 = -w*r - g. Solve -5*d + 2*d - r = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 AM and 1:02 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-4 - -5)) + -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12785?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2786339 = 15*r - 3182364. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i**2 - 16*i + 56. Let s be w(7). Let z be (-7)\/4 + s\/(-168). Suppose -3*f - 2 - 10 = 0. What is the smallest value in f, z, 0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five quarters of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -2, 23 in descending order.\nAnswer: 23, 0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 367*d**3*p**4 - 3*d**3*p - d**2*p**6 - 130*d**2*p + 2*p**2 wrt p.\nAnswer: 8808*d**3*p - 120*d**2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.0484*1.1961\nAnswer: -0.05789124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -1 - 19\/18 - ((-80262)\/364 - -221).\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/((c*(c\/c**5)\/c)\/c))**(-1\/36)*(c**(-3\/2))**(21\/2) assuming c is positive.\nAnswer: c**(-287\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52 - 155 + 14686*h**3 + 103.\nAnswer: 14686*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/5)\/((-11586)\/154480)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3773 (base 8) to base 7.\nAnswer: -5646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 1, -4, -0.5, 4098, -0.02 in increasing order.\nAnswer: -4, -0.5, -0.02, 1, 13, 4098","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 28511 divided by -28?\nAnswer: -4073\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2*n = 264. Suppose n = -4*f + 6*f. Solve -2*j = 5*u - 16, 2*j - 5*u - 9 + f = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from sasaasaiiiaaivaana.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of 4*h**5\/5 - 2*h**4 - 4*h**3\/3 + 4*h**2 - 502. Factor d(w).\nAnswer: 4*w*(w - 2)*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15495220, 15495117, 15495012, 15494905?\nAnswer: 15494796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 42557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 288\/(-7)*(1 + (-36)\/(-16)). Let t = u + 134. Find n, given that 0 + 1\/7*n**2 + t*n = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1141435?\nAnswer: 5, 43, 5309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -105564035?\nAnswer: -105564041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**5\/7 + 290*w**4 + 41262*w**3\/7 + 142666*w**2\/7 + 169676*w\/7 + 66240\/7 = 0. What is w?\nAnswer: -16, -2, -1, 1035","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and 108496.\nAnswer: 759472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 - 5 = 3*j, -107*j + 22 = h - 111*j for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 12174*p. Let z(q) = 10*q. What is k(z(y))?\nAnswer: 121740*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 - 8*w + 4. Let q be 16\/((-6)\/(-15)*5). Let k be y(q). Is 14\/(-28) + 1158\/k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 66\/14 + 10\/35. Suppose -3*x + 194 = -2*o, v*o - 83 = -3*x + 83. Which is the closest to 1? (a) 0.5 (b) -0.4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 12 - 12762*j**3.\nAnswer: -12762*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -6*w + 8. Let c(h) = -2*h + 3. Let t(v) = 11*c(v) - 4*d(v). Calculate t(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -872, -1166, -1456, -1742, -2024, -2302?\nAnswer: -2576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/2, 4, -3\/34, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 18, -21, -3, 798, 1 in descending order.\nAnswer: 798, 18, 4, 1, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17036571 and 17241.\nAnswer: 2463","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + 10*n**2 - 28*n + 9. Determine l(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-5)\/w**(-3\/5))\/(w*w**(2\/23)*w**(-5\/3)*w) assuming w is positive.\nAnswer: w**(-1663\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 4)*(3*k - 3*k - 2*k) + (0 - 1 + 3)*(2*k - k - 2*k).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2829662, 2829665, 2829678, 2829707, 2829758, 2829837, 2829950, 2830103?\n\"Answer: g**3 - g**2 - g + 2829663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/5 - 1*-7. Suppose 0 = 4*m - 6 - s. Suppose -114 = -6*u + m*u. Is u a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-19)\/(-3) + (-1)\/3 and 11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/4)\/((-5)\/120). Suppose 11*l - 3695 = w*l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7.5*0.4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -227*x + 3650 + 3669 - 7319. Let u(k) = -6*k**2. Determine u(f(a)).\nAnswer: -309174*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = 76 - 66 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-68)*-5*76\/95.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + (4 - -8) + 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2288317 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 9 - (4 + -6) - -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*p + 30*p + 914 = -5*r, 3*p = 3*r + 2682. Does 9 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + 12*g + 44. Let u be w(-14). Calculate the highest common divisor of 8 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-4 - 7) - (0 + 7 - -13)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11596 + -11561. Solve -33*a = -d*a + 3*f - 8, 4*f = 5*a + 13 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 11*g = 317936. Let t = g - 11754. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -82 divided by -41\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.6, -1\/7, 0.5 in descending order.\nAnswer: 0.5, -1\/7, -0.6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -868 + 932. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*(-2 - 0)*21\/2. Let m = 122 + g. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 326, 361, 382, 395, 406, 421?\n\"Answer: x**3 - 13*x**2 + 67*x + 271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -0.0783024?\nAnswer: 0.01566048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7\/943 or 0?\nAnswer: 7\/943","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 106 - 101. Find the third derivative of 4*u**5 + 1903*u**6 - 1963*u**6 - 2*u**v - 2*u**2 wrt u.\nAnswer: -7200*u**3 + 120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 115249 + -573599\/5. Which is smaller: -0.2 or w?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r**(1\/2)*r)\/r)\/r*r)**(-26))**(-2\/33)\/(r**(-3\/5)*r*r**(-1\/17))**(1\/63) assuming r is positive.\nAnswer: r**(46091\/58905)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -7 - 3 - -7\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 113 (base 4) in base 7?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 10:39 PM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, 0, -4, 21991, -18, 2 in decreasing order.\nAnswer: 21991, 2, 0, -2, -3, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28229.\nAnswer: 28229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1074*c - 1567*c + 344100 = 1828*c + 98074 for c.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 + (14\/(-4))\/((-7)\/28). Let x(j) = -10*j + 13 - j**2 - 2*j**2 + 4*j**2. Is x(d) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5401 is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a meter in centimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + u = 13 + 10, -3*u - 11 = 2*o. Let g(p) = -36*p**2 - 36*p - 26. Let r(k) = 7*k**2 + 7*k + 5. What is o*r(w) - 3*g(w)?\nAnswer: -4*w**2 - 4*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -48 + 801. Let k = c - 749. Solve -3*d = -k*f + 2, -3 - 5 = -3*d - f for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 45*s - 75*s + 122*s)*(8*s + 7*s - 7*s).\nAnswer: 16*s**2 + 88*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10.985 + 258.985. Is j < -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(11))*-6 + (sqrt(539) - (sqrt(539) + sqrt(539)*2 + sqrt(539))**2).\nAnswer: -8624 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - x + 96 = 0. Suppose 0 = -2*m + x + 52. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three fifths of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 16622115 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 34380*m - 444048 wrt m.\nAnswer: 34380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.89554976 - -1093.287.\nAnswer: 1090.39145024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -2*g - 20, 4*s - 3*g = -9 + 25. Suppose 2*z = s - 3. Let a = 225 + -223. Is a <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4181, -3, 235.8 in decreasing order.\nAnswer: 235.8, -3, -4181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - o = -42. Let x = 39 + o. Is x a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1426.1 + 1426. Let o = -1.1 + 1.4. What is the third smallest value in o, 2, a, 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5*(6\/9)\/(10\/(-15)). Which is smaller: j or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4551?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 6, t: 3, x: 2, a: 2, h: 4}. Give prob of picking 1 h, 2 z, and 1 x.\nAnswer: 6\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, 11, 44, 109, 218, 383, 616?\nAnswer: 929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 3\/17 (b) -1\/3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -240 divided by 5.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 7*n**2 + 191*n + 252. What is the units digit of i(-41)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/525*10*(8 - 1). What is the nearest to 1\/2 in k, -0.4, 5, -1\/2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 s when four letters picked without replacement from {f: 16, s: 4}.\nAnswer: 448\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in -0.4, -1, -0.5, 7, 10\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 1)*(0*y + 4*y - 2*y) + y - y - y - 2.\nAnswer: 3*y - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 2*p - 18, -k = 4*k + 3*p - 53. Solve -k = -5*d + 3*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, o: 7, d: 2}. Give prob of picking 1 o and 1 m.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i - 97. What is k(4)?\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46 + 90 + 118 + 705 + 225)*(-3*p**3 + 0*p**3 + 10*p**3).\nAnswer: 7644*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1758*n - 66*n**3 + 879*n - 46*n**3 + 879*n.\nAnswer: -112*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144*v**3 - 5*v**3 + 27105 + 27110 - 54215.\nAnswer: 139*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -4*y**2 + 17*y - 2. Let o be u(4). Solve -3*x = o*x - 20 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c**3 + 97387873*c**2 - 97387873*c**2.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + 2. Suppose t + f = 4*x, 2*x - 2 = -4*t + 32. Does 3 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.33 - 5.2. Let t = -4.7496362 - -4.87963. Let u = t - w. Round u to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 410*k - 397*k. Solve -k*l + 1 = 7 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2236, 2254, 2282, 2320?\n\"Answer: 5*d**2 + 3*d + 2228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, -71, -2 in decreasing order.\nAnswer: 3, -1, -2, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 477 = 736*w - 259*w. Sort 3\/4, 14\/3, -7, w in decreasing order.\nAnswer: 14\/3, w, 3\/4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8035*c**3 + 24115*c**2 - 30*c.\nAnswer: -5*c*(c - 3)*(1607*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 123016206 and 123016204 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45678856539 - -0.02.\nAnswer: -45678856538.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9048 = 25*j - 9373 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 2\/202683 (c) -3.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + 5*b**2 - 4*b + 5. Let j be h(-6). Let o(x) = x**3 + 9*x**2 + 5*x + 6. Is o(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 x when four letters picked without replacement from {m: 1, f: 5, x: 5, y: 4}?\nAnswer: 20\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5*0.4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -768 or -771?\nAnswer: -771","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*v - 20 = h, 2*h + 222 - 95 = 87 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -4, 18, 0, 0.6, -8.\nAnswer: -8, -4, 0, 0.6, 9, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of -h**5\/80 - 9*h**4\/16 + 309*h**2. Factor j(q).\nAnswer: -3*q*(q + 18)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -25d2 + 37?\nAnswer: -259b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2967679 and 7450327.\nAnswer: 1065396761","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10787 + -1877890.\nAnswer: -1867103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 48*p**3 + p**2 + 138*p + 426. Calculate k(-3).\nAnswer: -1275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 722 + -703. Let s(z) = -22*z - 5. Let x be s(5). Let l = x - -172. Calculate the greatest common factor of l and p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 432\/35 != 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 2*z - 9 = -2*z, -2*i = -z + 6. Let f = i + 11. Let n(p) = f*p**2 + 49 + 2*p + 46 - 97 + p**3. Give n(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eennnceleenceennenne. Give prob of sequence cl.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-690 + 690 + 39*p)*((-4 - 3 + 5)*(6 - 4 - 4) + 2 + 3 - 3 - 1 + 0 + 3).\nAnswer: 312*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1.9265436ms?\nAnswer: 0.00003210906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9723 to the power of 1\/2, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/((-2)\/(-2)) + 1. Let q(r) = -r**3 - 3*r**2 + 5*r - 7. Let d be q(-5). Let g be d + l + (5 - 2). Calculate the greatest common divisor of g and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56445503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7250.35l in millilitres?\nAnswer: 7250350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/6888 and 109\/1476?\nAnswer: 20664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 + 17*p - 19*p + 7 as y + t*p and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 349 is divided by 30.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -d (base 15) to base 5\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -544*y - 2711. Let t be f(-5). Solve -n - 7 = -4*d, 0 = -d + 2*n - t + 2 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + 3*j**2 + 19*j - 5. Let a be t(6). Let k = -2.91 + 3. Let c = k - -3.91. What is the third smallest value in c, 5, a?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24803*i**4 + 4*i + 2 - 5*i - 2*i**3 + 24804*i**4 - 427*i**2 to f*i**2 + z*i**4 + l*i**3 + g + o*i and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z**3 + 47*z**2 - 257*z + 277. Let d be -5 + (0 + 5 - 0) - -1. Let a(u) = u**3 + u**2 - u + 1. Let x(b) = d*n(b) + 3*a(b). Factor x(c).\nAnswer: 5*(c - 2)**2*(c + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 3 = -4*f + f, -s = 5*f + 1. Find r such that -3\/4*r**4 + 0*r**3 + 0 + f*r + 0*r**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -392, -3, 37, -1 in descending order.\nAnswer: 37, -1, -3, -392","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2326562314?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 6 = 9. Suppose i = 5*w - 4*w. Suppose 30 = -x + w*x. Calculate the remainder when 43 is divided by x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*t - 38*t + 7. Let f be ((0\/3)\/(16\/(-8)))\/t. Determine z, given that 2*z**2 + f + 2\/3*z = 0.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0176981l to millilitres.\nAnswer: 17.6981","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of o**5 + 99*o**4 + 4*o**2 - 4634*o?\nAnswer: 20*o**3 + 1188*o**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.06539 (b) 3\/23 (c) 4 (d) 1\/4 (e) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f + 3 - 2 - 3 - 1 to x*f + m and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 8\/23?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/((-10)\/(40\/(-3))) - -7. Which is the fourth smallest value? (a) 0.035 (b) -1\/3 (c) i (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85)*2 + sqrt(85))*1 - sqrt(85))\/(sqrt(20)\/(sqrt(24)\/sqrt(6))).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 64\/25 + -9\/25. Find the common denominator of h and 11\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.5 (b) -5 (c) 0.3 (d) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**4\/5 + 8998*p**3\/5 + 2*p**2\/5 - 8998*p\/5 = 0. Calculate p.\nAnswer: -1, 0, 1, 4499","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**2 - 77*n + 143. Determine j(37).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 2:59 AM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(13) + 1) - (sqrt(325) + 1) - (sqrt(104)*1*3)\/(sqrt(72)*1))**2.\nAnswer: -12*sqrt(13) + 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, c: 2, z: 1, p: 2, l: 2, f: 1}. Give prob of picking 2 l and 2 p.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -7*i - 4. Let k(z) = 3*z + 2. Let a be ((-72)\/96 + (-6)\/(-8))\/1 + -2. Calculate a*o(s) - 5*k(s).\nAnswer: -s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/1*1\/1. Let p = 14 - y. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 152 + -153. Let r = -0.2 + -9.8. Let p = r + 5. Which is the smallest value? (a) t (b) 0.5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -458*b + 4681. Let m be o(4). Which is bigger: m or 2848?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 AM and 6:52 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/5 of a hour?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 25 = 5*s, -3*s - 210237 + 210241 = -5*u for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 + 12*t + 16. Let k be q(-11). Suppose k*b + 8 = 68. Is b a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-10) - 279\/15)\/(-1). What is the second biggest value in -0.5, j, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - 13*x**2 - 12*x + 3. Suppose l = 3*l + 24. Let f be m(l). What is the first derivative of -9 + 11*r**3 - 30*r**3 + 7*r**f wrt r?\nAnswer: -36*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (22\/(-3))\/((-90)\/13905)?\nAnswer: 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 143\/15 in -4, -2\/9, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-69)\/15 - (0 - (-4)\/(-1))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1009 is divided by 45.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1514317 (base 8) to base 2\nAnswer: 1101001100011001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13591 + -12835. Calculate the greatest common divisor of 84 and s.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3\/5))**(-26) assuming j is positive.\nAnswer: j**(78\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3154 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 5 = -1. Let r = d - -23. Let c(i) = i**3 + 4*i**2 - 2*i - 6. Let s be c(-4). Calculate the highest common factor of r and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.099796 to three dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 465 divide 1336410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2831*t + 251328 = 2452*t - 795*t for t.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v + 10. What is the remainder when m(0) is divided by (2\/(-1))\/(5\/(-10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 7500?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of k**7\/8820 - k**6\/2520 - k**5\/210 - k**4\/8 - 3*k**2. Let h(x) be the second derivative of l(x). Factor h(f).\nAnswer: 2*(f - 2)*(f + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 92, -2, -12, -413, 0.5 in ascending order.\nAnswer: -413, -12, -2, 0.3, 0.5, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i**(3\/4)*i)\/(i*i*(i**2*i)\/i*i*i*i*i))\/(i**(1\/3)*i*i*i**(-1\/15))*((i**(2\/3))**(-39))**(-14) assuming i is positive.\nAnswer: i**(21449\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrjjrrjjm. Give prob of sequence mrr.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 16, 4, 2, -21331 in descending order.\nAnswer: 16, 4, 2, -1, -21331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 4:42 AM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence etj when three letters picked without replacement from {j: 11, t: 6, e: 2}?\nAnswer: 22\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/15 in 23202, 2\/3, -3, 2, -7, 3\/2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3.1 (b) 1171 (c) -0.3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + 2)\/((-9)\/(-99)). Suppose b*j = 13*j - 46. Does 3 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1111 - 5539\/5. Find r, given that -52\/5*r**2 - o*r**4 - 4\/5 - 24\/5*r - 48\/5*r**3 = 0.\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 0*k - 5 = -2*y, 3*k - 7 = -5*y. Suppose 3*s + 28 = 7*h - 3*h, 3*s - y*h + 20 = 0. What is the tens digit of 4\/8 - 154\/s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-4)*-7*(-23)\/322. What is the second biggest value in n, -30, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1268.2 times 3890?\nAnswer: 4933298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 206 = 3*s - 4*t, 0 = -3*s + 5*t + 218. What are the prime factors of s?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of -c**5\/60 + c**4\/12 + 7*c**2 + 4*c. Give y(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -22d12da?\nAnswer: 22d12d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 138\/(-1 - -3) - (-168)\/(-56). Suppose 0 = y - 72 - 16. What is the greatest common divisor of q and y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 203 + 146. Suppose -9*v + 25 = b. Let d = 31 - v. List the prime factors of d.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -719 + 1154. List the prime factors of p.\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.08, -4, 1, 5?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-45)\/(-15))\/(2\/(-6)). Let q = 19 + l. Solve -5*m + o = 1 - 14, 0 = 5*o - q for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7.497, -10, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.9727kg in milligrams?\nAnswer: 86972700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 34 and 291603.\nAnswer: 9914502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000002745 to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-2)\/m)\/m*m\/(m*(m**(2\/17)\/m)\/m*m))**(-13))**(-3\/34) assuming m is positive.\nAnswer: m**(-2067\/578)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*k**4\/4 - 207*k**3 - 2007*k**2\/4 - 755*k\/2 - 84 = 0. What is k?\nAnswer: -1, -2\/5, 168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122e (base 16) to base 12.\nAnswer: -283a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*b + 3*b + 108. Let l = 27 - b. Sort -2, l, 1 in decreasing order.\nAnswer: 1, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-69)\/30 + 2)\/((-6)\/(-4)). What is the biggest value in n, 6, 2.7, -0.1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-g + g + g)*(1554*g + 944*g + 2935*g + 2972*g - 867*g) as i*g + n*g**2 + x and give n.\nAnswer: 7538","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a litre in millilitres?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -172, -187, -210, -241, -280, -327, -382?\n\"Answer: -4*f**2 - 3*f - 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 o when two letters picked without replacement from {a: 6, s: 1, o: 4, t: 1, v: 3}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*m**5 + 2*m**4 - 81*m**3 + 11*m**2 + 15*m + 1.\nAnswer: 900*m**2 + 48*m - 486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114*s - 50*s + 960857 = 68697. List the prime factors of s.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115140*w**2 - 115182*w**2 + 230155*w**2.\nAnswer: -167*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 866242 a multiple of 225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 13 + 1)*(2*f - 1 + 1)*(-f - 2 + 2) + 32*f**2 - 26*f**2 + 26*f**2.\nAnswer: -16*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from {n: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + 777?\nAnswer: 774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 - 14*a - 6. Give t(-13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (25 + -57 - -6) + 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9228943*w**5 + 15802222*w**2?\nAnswer: 553736580*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of 7*k**4\/24 + k**3\/2 - 36*k**2. Let v(m) = -m - 1. Calculate -g(c) - 5*v(c).\nAnswer: -2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 54437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 PM and 1:04 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -31*q + 432. Let j be v(14). Let p(x) = -3*x**2 - 5*x - 7. What is p(j)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 - 2*z + 2. Let v be q(0). Let p be (-3 - (0 + -2)) + -36. Let r = p - -335\/9. Which is the closest to 2? (a) r (b) 0.4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92319361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r + 5. Suppose 21*q - 17*q = -48. Let t = 8 + q. Let i be b(t). Solve -5 = 2*d + 4*c - i, -5*d = c + 19 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 35419 and -123868723?\nAnswer: 123904142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3*x - 7. Let h be i(10). Suppose -1 = 2*p - f, 2*p - 5*f = p - h. What is the first derivative of -8 - 332*l**p + 332*l**2 - 9*l**3 wrt l?\nAnswer: -27*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - 6*j**2 + 5*j + 14. Calculate the remainder when t(-8) is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 2*k = 2, -s - 3 = -4*k - 8. Let h be -25*(-4 + 6 + s). Suppose -h = -q + 942. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1381257 - 4*z**3 + 1381257 + 3*z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 871 - 497. Suppose -a = -2*c + 648. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7214075 to the nearest integer?\nAnswer: 2686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 72 - 42. Suppose -i - 2*i + o = 0. Is i a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 55 = 13*r. Let p(g) = -8*g + r*g + 23*g + 12*g + 16*g. Let w(b) = 4*b - 5*b - 2*b. What is -2*p(z) - 33*w(z)?\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g**2 - 4*g**2 + g**2 - 14 + 19 to the form b*g + x + q*g**2 and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -5*v**3 + 196*v**2 - 1660*v - 4164. Let r(p) = 10*p**3 - 393*p**2 + 3320*p + 8327. Let o(s) = 7*k(s) + 4*r(s). Suppose o(n) = 0. What is n?\nAnswer: -2, 16, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*k + 141 - 31 = 0 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of -r**5\/20 + r**4 - 2*r**3 + 7*r**2 + 4*r. List the prime factors of c(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -10*i**2 - 901*i - 6275. Give a(-7).\nAnswer: -458","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w**2 + 15*w + 344. Give t(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -3*j**2 - 4*j + 7. Let w(p) = -p**2 + 5*p + 2. Let o(m) = -3*m. Let c(h) = -6*o(h) - 3*w(h). Determine 5*c(q) + 4*i(q).\nAnswer: 3*q**2 - q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -640, -2569, -5780, -10267, -16024, -23045, -31324?\nAnswer: -40855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00384204 rounded to five dps?\nAnswer: 0.00384","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-80)\/(-240)*(-3)\/1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.694004 nanometers in centimeters?\nAnswer: 0.0000003694004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 2*h**2 + 11*h + 7. Let r be j(6). Let o = 128 + r. Is 5 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30402 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - 1220?\nAnswer: -1223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.313158 to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -48 + 68. Let b(i) = -i - 4. Let t be b(-8). Let h(n) = -n**3 + 11*n**2 + 15*n - 36. Let v be h(12). Solve v*g + w = t*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2*s - 5*t + 391 = 0, -3*s - 2*t = -1147. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23115329621 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 307 + -300. Sort 2, -4, q, 70 in increasing order.\nAnswer: -4, 2, q, 70","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, s: 1, r: 3}. What is prob of sequence js?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.033 + -0.433. What is the closest to 1 in n, 5, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5018)\/(-22581)*(-12)\/2*-24.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eafa when four letters picked without replacement from aaefaaafeaafe?\nAnswer: 63\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 71047350, 71047352, 71047354, 71047356?\n\"Answer: 2*o + 71047348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 11*p - 1. Give w(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 8, 3, -2\/51, 39, -2, -0.4, -1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a millennium in centuries?\nAnswer: 215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 59062393?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of w**4\/8 + w**3\/6 + w**2. Let q be f(3). Suppose q*g - 7*g = 0. Solve 4*u - 2*u - 6 = g, 4*y + 6 = 2*u for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 23392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*i**2 + 36*i**2 - 17*i**2.\nAnswer: -48*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*s**2 + 4 - 5*s - 5 + 5*s**2 + 16*s to the form h + q*s + u*s**2 and give q.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1\/3*(46 - 13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that v**5\/4 + 29*v**4\/4 - 68*v**3 + 214*v**2 - 292*v + 148 = 0.\nAnswer: -37, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 534\/41 and -0.2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -36*j - 175. Let a(w) = 17*w + 76. Let g(x) = -26*a(x) - 12*d(x). Give g(16).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 31*t + 74. Let s(x) = 4*x. Give d(s(j)).\nAnswer: 124*j + 74","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*z - 0. Suppose -2*k - k = -y + 1, -8 = -k + 2*y. Let c be ((-8)\/(2 - 0))\/k. Solve z = -o - c for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1 and 600.1?\nAnswer: 599.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**2 + 343225*m + 686470.\nAnswer: -5*(m - 68647)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -2183\/133 and -35.24 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -10*h - 7*h**2 - h**2 - 3*h**3 + 4*h**3. Let y be p(9). Let z be -18 - 1641\/(-180) - (-2)\/15. Which is smaller: y or z?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(20)\/sqrt(4)*5 + sqrt(605)*2)*3.\nAnswer: 2 + 81*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.039672 - 39.132672. Let p = -0.093 - k. Let z = p - 39.3. What is the closest to -0.3 in -2, z, -0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.4 (b) -0.18 (c) -1\/3 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 238 and 2042278?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 5*g**5 - 100*g**4 - 105*g**3 + 6860*g**2 + 6860*g = 0.\nAnswer: -7, -1, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -101, -100, -99, -98, -97?\n\"Answer: u - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 57736901\/559 + -103286. Calculate the common denominator of h and -46\/9.\nAnswer: 5031","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37\/70 + -1\/35. Let q be ((-2)\/6 - 1)*45. Let i = q + 182\/3. Which is greater: b or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -3*q + 4. Calculate b(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*p**2 - 25*p**2 + 4 + 143*p - 2 + 15*p - 46*p**2.\nAnswer: -p**2 + 158*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 + 2*o + 55. Let t be k(8). Let x(j) = 62*j + 11. What are the prime factors of x(t)?\nAnswer: 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1926176845?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -3*w**3 - 7*w**2 + 11*w + 3. Let u(b) = b**3 + 2*b**2 - 4*b - 1. Let s(m) = 8*u(m) + 3*x(m). What is s(-3)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h - 2. Let l be k(-6). Suppose 0 = -5*n + 5*g - g + 408, 0 = l*n + g - 339. Let c = -54 + n. Is c a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 11:56 PM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/((4 - 9) + 3). Suppose y = -31*o + 37*o - 1248. Does 13 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -6*b - 6*b. Suppose 0 = m + 2*m - 9. Is m\/b - 362\/(-4) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 3 = 0, -2*c = -8*b + 4*b - 12 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*r - 5. Let q be (-1 + 0)*(10 - 1). Does 13 divide q*(r - 4 - 6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddp when three letters picked without replacement from pppppdpdpdp.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4\/7, 0.4, 1\/8, -3\/5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 153.8 bigger than -1527\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a decade?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 divided by 33072.\nAnswer: 31\/33072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 + 4*n - 6. Is 7 a factor of p(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4941 and 4031307.\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 3*g + 2122 - 2308, -105 = -3*g - 5*d. What is the smallest common multiple of 6\/8 - 183\/(-12) and g?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 60694458, 60694459, 60694460, 60694461, 60694462?\n\"Answer: l + 60694457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/13? (a) -1\/3 (b) -1 (c) -8569\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1488 divide 10901557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2394, 19074, 64320, 152406, 297606, 514194, 816444?\nAnswer: 1218630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 249 - 2493\/10. Which is bigger: i or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -48 (b) -452.762 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 49 - 44. Let v(u) = -u**3 + 6*u**2 - 2*u - 4. Determine v(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b + 10 = 7*b + 4*l, -4*b = -l - 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 102\/((-68)\/2)*4*3\/84*21?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3093.958 years in millennia?\nAnswer: 3.093958","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 20 = -n, -1 = 3*b - 439*n + 438*n. Sort -6, b, 0, 2, -1 in descending order.\nAnswer: 2, 0, -1, b, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 7:54 PM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 111*n - 9. Give b(-1).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 161049?\nAnswer: 3, 7, 7669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 105*o - 5. Give l(-2).\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 228.037 (b) 2\/3 (c) -1 (d) 0.1 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -2\/5, 3, -5\/2, -62?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.30027 + -8674853.11?\nAnswer: -8674852.80973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 14 - 12 + 19*u)*(-3*u + 3 - 3).\nAnswer: -57*u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -42*(8 - (-1652)\/(-49)). Suppose 39*m - 9*m = i. Calculate the smallest common multiple of 10 and m.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1004.6 plus -119887.58551?\nAnswer: -118882.98551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -0.184?\nAnswer: -0.184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 788, 1571, 2352, 3131, 3908, 4683?\nAnswer: 5456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -159.05447 to one decimal place.\nAnswer: -159.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - 6*j**2 - 6*j - 6. Let x = -61 - -67. Let a(g) = g**2 + g + 1. What is x*a(y) + w(y)?\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43231*u + 92913*u - 47084*u.\nAnswer: 2598*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + -1d?\nAnswer: -1e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1575975\/8 or 196997?\nAnswer: 196997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1271\/5 + 255. Find q such that 2\/5 - q - 1\/5*q**3 + a*q**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 172*v + 124065 = 170*v, 2*v + 165424 = 4*n. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 201780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence myb when three letters picked without replacement from {b: 1, m: 2, h: 6, o: 1, y: 2}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -411*t**2 - 9 + 373*t**2 + 4 + 5.\nAnswer: -38*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 - 8*z**2 - 7*z - 6. Let i be d(-7). Let c = 14 + i. Suppose 0*a - 4*v = -3*a + 22, -2*a + v = -c. Put 5, -1, a in descending order.\nAnswer: 5, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9595 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*(z\/(z*z**(2\/21)*z))\/z)\/z*z*z*z*z**(-7)*z*(z**(-19)*z)**31 assuming z is positive.\nAnswer: z**(-11804\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 + 55. Let u = d + -29. Let s(p) = -8*p**3 + 4 - 6 + 9*p**u. Let i(v) = 3*v**3 - 5. Calculate -4*i(f) + 10*s(f).\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/15)\/(168\/(-288)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 20 - (-6)\/6*5. Factor 23*b**3 + 5*b**2 - d*b**3 - 7*b + 5*b.\nAnswer: -b*(b - 2)*(2*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 14*a - 2*a**2 + a**2 + 5 - 4 - 10*a. What is v(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s - 2*s + 0*s + 3*s. Suppose -5*z - 3 = -4*y, 9 = z - 0*y + 4*y. Let h(f) = -1. Let x(r) = 2*r + 2. Let n(t) = z*x(t) + 2*h(t). Determine k(n(u)).\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*g - 6*g. Let c(w) = g*w - w + 3*w. Let s(v) = -18*v. Give c(s(p)).\nAnswer: -72*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 94881 and 0.148509?\nAnswer: 94880.851491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-2)\/(-6)*48\/(-16).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11937 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 497*p - 489*p + 56 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -1248*g + 614*g + 596*g. Let p(t) = -53*t - 2. What is p(a(u))?\nAnswer: 2014*u - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n - 122. Let s be w(30). Let i = s - -133. Is i a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*d - 122*d + 62*d = 385 for d.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -10*24\/(-12)*(-1)\/(-8)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-34272)\/2176)\/(14\/(-6))*((-60)\/9)\/5?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-5)\/(145\/696551))\/(-2 - -1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*s**3 - 1 + 16*s - 17*s + 7 + 1 + 15*s**4 + s**2 - 8 as k*s**4 + g*s**3 + h*s**2 + i*s + y and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 4*t**2 - 6*t - 4. List the prime factors of x(5).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -489*s**2 + s - s + 490*s**2.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -93 or 296487?\nAnswer: 296487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 84*l**3 + 9*l**2 + 9. Let g(n) = 21*n**3 + 2*n**2 + 2. Calculate -18*g(t) + 4*r(t).\nAnswer: -42*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + -1 + -1 - (6 - 5645). Suppose -5*s + w - 19278 = 0. Round s to the nearest 100.\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 13, -12, -57, -128, -231?\nAnswer: -372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*o**2 + 12580*o + 4192.\nAnswer: 4*(o + 1048)*(3*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1708?\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 88091292, 88091304, 88091322, 88091346, 88091376?\nAnswer: 88091412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2.6 * 1.7\nAnswer: -4.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 + 6. Calculate the highest common factor of 72 and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvev when four letters picked without replacement from {e: 2, m: 2, v: 6, r: 9}.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*a**2 + 16*a**2 + a**6 + 3 + a**4 - 5*a**4 + 75 wrt a.\nAnswer: 120*a**3 - 96*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*i**3 - 37*i**3 - 40*i**3 + 34*i**3.\nAnswer: -122*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17986 is divided by 96?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3440881 and 181099.\nAnswer: 3440881","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-25))\/(8\/10)*(-36)\/21?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 + 6*r**2 + 3*r - 5. Let a be i(-4). Let b be -2*1*6\/(-4). Suppose 3*m - b = 3. Solve a = m*w + w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 2*d - 1 - 4 - 4*d + 4 - 6*d + 8*d + 8*d + (-2*d + 5 - 5)*(1 - 3 + 3) + 0*d + 0*d + d to s*d + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 8*i**3 + 30*i**2 + 34*i + 20. Give m(-4).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f, -3*f + 1537 = -5*v + 137. Let y = v - -512. Calculate the greatest common divisor of 8 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/43657477 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of 0 + o**2 + 7*o + 1\/6*o**3. Calculate h(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 0*x + 3, 0 = -5*d + 5*x - 780. Let c be (d\/12)\/((-2)\/16). What is the lowest common multiple of (-8)\/20 - c\/(-5) and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(10)\/sqrt(5)*6 + -3*sqrt(8) + 2.\nAnswer: -36*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27.967 + -0.033. Let z = b + 158. Let d = -130.00000377 + z. Round d to 7 decimal places.\nAnswer: -0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -5*a**3 + 5*a. Suppose 0 = -9*w - 11 - 7. Let p(c) = -5*c**3 + 5*c. Let y(r) = w*k(r) + 3*p(r). Factor y(x).\nAnswer: -5*x*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of 0 + 8\/3*u**3 - 1\/6*u**4 + 16*u - 16*u**2. Factor j(p).\nAnswer: -2*(p - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 638*h - 613*h - 250 = 0 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -41 by -946.\nAnswer: 41\/946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2691 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31615.4 - 31638. Which is smaller: 1\/2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rzarrzkfraerrr. What is prob of sequence rzar?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 496*l**2 + 98 - 189 + 8*l + 91 - 6*l.\nAnswer: 496*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + (-16 - (-13 - -1)). Sort -3, 40, a in descending order.\nAnswer: 40, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -7\/923 (b) 0 (c) -4 (d) 22 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*(-4)\/12*0. Solve 0 = -5*f + 4*q - 14, f = -b*f + 5*q - 7 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 6) in base 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/9)\/((-1)\/23733). Let c = 14890 - v. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of -x**4\/4 - 1413*x**3 - 5989707*x**2\/2 - 3091*x. Let j(g) = 0. Calculate g.\nAnswer: -1413","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-873)\/(-5) - 4\/(-10). Let x = -132 + n. Calculate the remainder when x is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 15*c**2 + 5*c + 6. Suppose 0*s + 5*z = 4*s - 95, 4*s + 4*z = 68. Let i = s - 23. Calculate the remainder when f(i) is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -6. Let g = 851\/180 - 257\/60. Solve g*d + 2\/9*d**p + 0 + 2\/3*d**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**3 - 12*u**2 + 13. Let a(k) = -k**3 + 6*k**2 - 6. Suppose -122*n + 301 = -431. Give n*g(h) + 13*a(h).\nAnswer: -h**3 + 6*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37363.01m to centimeters.\nAnswer: 3736301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1110 and 1372309644.05.\nAnswer: 1372308534.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - s**2 + 2*s - 1. Let n(h) = 9*h**3 + 4*h**2 + 39*h - 1. Let x(r) = -6*i(r) + n(r). Find the second derivative of x(c) wrt c.\nAnswer: 18*c + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 103*i. Calculate q(-1).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2111022 + 1?\nAnswer: -2111021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 309867765 and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 178 divide 451862612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30133 - 11?\nAnswer: -30210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u + 4*u + 3*x - 417, 0 = 3*x + 15. Suppose u = 7*f - 4*f. Is 12 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -9 (b) 41\/5 (c) -0.3 (d) 2 (e) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {x: 5, u: 15}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t. Let k = -2220 + 2220. Let p(u) be the third derivative of 0 + k*u**4 - 13*u**2 + 0*u - 1\/30*u**5 + 0*u**3. What is p(o(v))?\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5792, -23027, -51706, -91829, -143396, -206407, -280862?\nAnswer: -366761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 183355122877 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 21888, 21889, 21890, 21891, 21892?\n\"Answer: o + 21887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/6)\/((-1)\/(-20)). Suppose -x - 38080 = -3*z - 5*x, -2*x = w. What is z rounded to the nearest one thousand?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 5*s**4\/6 - 11*s**3\/3 - 950*s**2\/3 + 2769*s + 3549\/2 = 0.\nAnswer: -21, -3\/5, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 2)*(2*b**5 + 2 - 2) + (-6*b**3 + 3*b**3 + 4*b**3)*(-3*b**2 - b**2 + 5*b**2).\nAnswer: 3*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1856, 1867, 1892, 1937, 2008, 2111, 2252, 2437?\nAnswer: 2672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 4*h + 83, 193 = 3*x - h + 3*h. Suppose -3*o = 2*l - 76, -l + x - 15 = -2*o. Calculate the highest common divisor of 220 and l.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -107, -215, -325, -437, -551, -667?\nAnswer: -785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, b: 17}. What is prob of sequence bb?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 70, 130?\nAnswer: 190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.4 + 0.4. Let o = -1\/10 + 1\/2. Which is the nearest to 1? (a) k (b) o (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118094 is divided by 937.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6317*-0.2018.\nAnswer: -1274.7706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/19 + 970*r\/19 + 7888\/19.\nAnswer: -2*(r - 493)*(r + 8)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 107129510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5.7457 from -1267.14.\nAnswer: -1272.8857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-5)*(-109 + 14). Suppose -4*x = -x - k. Does 6 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/60)\/(5\/(-25)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 3*d = 1, -2*p = -2*d + 10. Let t(i) be the first derivative of 5*i - 1\/2*i**2 - 5. Calculate t(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/2)\/(675\/(-3)). Let h(a) be the third derivative of 0*a + 0*a**3 + 1\/60*a**4 + z*a**5 - a**2 + 0. Factor h(d).\nAnswer: 2*d*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -14?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3*(-4)\/(-24)*0. Solve n*r + 10 = -2*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of -w**4\/36 - 65*w**3\/9 - 43*w**2\/2 + 348*w. Solve h(d) = 0.\nAnswer: -129, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64 + 2406*p**2 - 44 + 7374*p**2 + 108.\nAnswer: 9780*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.057 + -4.075.\nAnswer: -4.018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -962*j**2 - 18325*j - 885. Give o(-19).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -7*k**3 + 12*k**2 + 22*k + 12. Let n(m) = m**3 - m - 1. Let r(c) = 6*n(c) + q(c). What is the tens digit of r(13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((y**2 + 5*y - 5*y)*(2*y**3 + 5*y - 5*y) + 27*y**5 + 14*y**4 - 14*y**4)*(0 - 3 + 5).\nAnswer: 58*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 + 2*b + 4. Let i be j(3). Let d be 2\/9*(8 - i). Suppose -11*s + 525 = 255 + 259. Are s and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.341 take away -0.5?\nAnswer: -0.841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 59201.42ms?\nAnswer: 59201420000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 176653\/3, 1, 0.5, 1\/3?\nAnswer: 176653\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(384)\/((-1*sqrt(60))\/sqrt(5)) + sqrt(256)\/(-6*sqrt(56)\/sqrt(7))).\nAnswer: -70*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 2 + 20 + (0 - -8) + -11.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 f when two letters picked without replacement from {f: 9, d: 6, u: 2}.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -0*y - 2*z - 841, -3*y - 2*z + 857 = 0. Let t = 443 - y. Calculate the remainder when t is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*m - 5*m + 0*m)*(0 - 1 + 3).\nAnswer: 38*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 - (22 - 59) - (3 - 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7, 14, 11, -14, -73, -178, -341?\n\"Answer: -2*j**3 + 7*j**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 smaller than 28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3044164 to the power of 1\/2, to the nearest integer?\nAnswer: 1745","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 4. Let w(s) = 2*s**2 + 5*s + 9. Let v(l) = -4*t(l) + w(l). Give v(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -125 + 342. What are the prime factors of w?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 4:19 PM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19770, -4\/7, -0.02, 1\/16 in increasing order.\nAnswer: -4\/7, -0.02, 1\/16, 19770","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 - 9*v + 21. Let h be g(3). Solve 7*z = -4*x + h*z + 28, -5*z = -x - 17 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 15715.33g?\nAnswer: 15715330000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -106 + 149. Suppose 0 = -10*j + 5*j + u - v, -3 = -u. Let d(w) = -w**2 - 11*w - 2. Calculate the remainder when 64 is divided by d(j).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13925 and 73025485.\nAnswer: 2785","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0052255498 to 5 dps.\nAnswer: 0.00523","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.04 times 111.7653?\nAnswer: 116.235912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3 and -1099.8495064?\nAnswer: 1099.5495064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 5*t - 3*t)*(t + 0*t + 2*t)*(2*t + 2*t - 3*t + (-2*t - 3 + 3)*(-1 - 2 + 5) + 3*t - 4*t - t).\nAnswer: -30*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 7, 3, 2, 1288, -2 in decreasing order.\nAnswer: 1288, 7, 3, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 880 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.338671 years in millennia?\nAnswer: 0.009338671","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of 3*i**5\/35 + 159*i**4\/28 + 88*i**3 - 504*i**2 - 6490. Solve m(v) = 0 for v.\nAnswer: -28, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-79)\/(-79))\/((-2)\/(-88)). Let x = 138 + -95. Which is bigger: j or x?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 6:25 PM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -111830 to the nearest one thousand.\nAnswer: -112000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7217 divided by 3.\nAnswer: -7217\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 14 = -18. Suppose -20 - q = -4*f. Suppose -f = k + 2*k. Which is the nearest to 0.1? (a) -5 (b) 1.8 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (212\/2862)\/(4\/27)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 - 2 - 7*m + 3*m**2 + m**2 - 6*m**2. Let y be s(-9). What is the remainder when 17 is divided by ((-10)\/y)\/(1\/8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 + -17. Suppose -p*b + 137 = 39. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r**2. Let u(t) be the third derivative of t**7\/420 - t**4\/6 + 4*t**2. Let y(j) be the second derivative of u(j). What is k(y(a))?\nAnswer: -72*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10044 is divided by 719.\nAnswer: 697","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 - 2. Let n = 77 + w. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s**4\/s))\/s)\/s**(-6))**42 assuming s is positive.\nAnswer: s**126","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100613080?\nAnswer: 2, 5, 53, 47459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*v = -21*v - 30. Calculate the remainder when 7 is divided by v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 AM and 5:42 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 + 2*x**2 - 4*x + 6. Let b be n(3). Let a = b - 23. Find the second derivative of 10*j**2 - 14*j**2 - a*j**2 - 8*j + 30*j wrt j.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 112 + -110. Suppose 4*n = 4, 0*n + 6540004 = -a*y + 4*n. Round y to the nearest 100000.\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-5 - -4) - -8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -50293657452*n**3 + 150882008180*n**2 - 9322432*n\/3 + 16 = 0.\nAnswer: 2\/194217, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2159 = -9*w + 154. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 + -25. Let m = 16 + y. Suppose 0 = -2*c - 3*c. Solve c = -f - m + 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 2:55 PM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1260 = -311*d + 316*d. Let v = -238 + d. Solve 2*k + 2 + v = -4*s, 5*s = -20 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 990 and 198?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**3*j*j**(-2\/5)*j**(3\/2)*(j**4*j)\/j*j)**(-1\/6) assuming j is positive.\nAnswer: j**(-101\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 220694767 to the nearest integer?\nAnswer: 604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 35976, 143881, 323716, 575475, 899152, 1294741, 1762236?\n\"Answer: -k**3 + 35971*k**2 - k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 696 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 35 = r. Let g = r - 12. Suppose -2*q - 3*f + g = -10, 4*q - 69 = -3*f. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*z + 9738 = 9738 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -4*y**3 - 3*y + 2. Let m(v) be the first derivative of 9*v**4\/4 + 3*v**2 - 4*v - 345. Give -13*g(z) - 6*m(z).\nAnswer: -2*z**3 + 3*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -104.2669 + 118.06489. Let m = 13.8 - h. Round m to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in -0.2, -5, -0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (7 - (37 - 24))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14\/(-27)*(-225)\/525. Let l = 1 + 0. Which is the nearest to l? (a) g (b) -31 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 761 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**4\/13 + 184*s**3\/13 + 2702*s**2\/13 + 3116*s\/13 - 18480\/13 = 0. Calculate s.\nAnswer: -11, -4, 2, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13376.\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (45\/27 + 1 + -5)*-3. What is the second derivative of -28*l - w*l**4 - 23*l + l**4 + 2*l**5 + l**4 wrt l?\nAnswer: 40*l**3 - 60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 6 - 10*x + 11*x - 3. Let o be c(-2). Which is smaller: -16\/3 or o?\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 5*a = -600, 4*g + 2*a + 508 = -a. Let n = 247 + g. Suppose 0 = -3*j + n - 18. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -357 + 352. Let y(u) = -94*u - 32. List the prime factors of y(v).\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -1 - (3 + -2 + 94) - -11?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - 2\/(-6)*(13 + 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-8)\/(-48)*-3 - (-1 + 35850\/(-20)) is divided by 257?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117285*m = 117164*m - 7623 for m.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 2*d - 3*i, 7*i = -2*d + 3*i + 18. Calculate the remainder when 28 is divided by d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 + 20*a**2 - 92*a - 1494. Determine z(-21).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 124 - 57. Let p = 62 + -19. Suppose 0 = -2*j - 3*v + p, 5*j - 4*v + 2*v = 60. Calculate the remainder when i is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of 0*r**3 + 21 + 57*r + 5\/2*r**2 - 1\/4*r**4. Differentiate a(f) with respect to f.\nAnswer: -3*f**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -194303*j + 582882. Give u(3).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 37763582 bigger than 37763583?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i - 4 = 21 + 10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 0, -11\/3, 4, -0.4 in decreasing order.\nAnswer: 4, 0, -1\/4, -0.4, -11\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 4347.98ug?\nAnswer: 0.00000000434798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eie when three letters picked without replacement from enienene?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/7, -0.4, -0.2, -2.78, 10?\nAnswer: -2.78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -3*g + 5*a, -g + 5*g + 12 = -4*a for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jmyooooomoojoo. What is prob of sequence ojmm?\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 1, -3, 0, 25, -1 in descending order.\nAnswer: 25, 1, 0, -1, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 90.3 - 107. Let h = 16 + r. Let w = 0.3 + h. Which is the third smallest value? (a) w (b) 5 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4173 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h - 3*h - 5*h - 7*h. Let t(m) be the first derivative of -3*m**2 + 132. Give -9*t(b) + 4*v(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 1 = -5*d + 2*d, -2*d + 3 = 5*p. Let s(t) = 3 + 3*t - 10 - p + 3*t. Let f(r) = -2*r + 3. Let z be -1 + 2 - (-1 - 1). Give z*s(v) + 8*f(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 8\/269 and -0.3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -223 - -21?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 0*w - 2*w - 2*w**2 + 2*w. Let i(m) be the second derivative of 2*m**3\/3 - 26*m. Give i(y(r)).\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 991229 is divided by 625.\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 552?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -2\/9 (c) 0.1 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -3*w - 6, -f + 10 = w + 4*f for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 228*q**3 + 235*q**3 - 6 - 466*q**3 with respect to q.\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -91\/60 + 11\/12. Let x = 11 + -10.6. Which is the smallest value? (a) 2 (b) x (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -5*b**2 - 293*b + 641. What is r(-59)?\nAnswer: 523","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/4 - 3\/(-6). Let i = 9 - 6. Factor -c*z**2 + i*z + 0*z**2 - 2 + 2*z**2.\nAnswer: -(z - 2)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0241 + 3.9759. What is the biggest value in k, -2.2, -3\/8?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*o**3 - o**2 - o**4 + 9*o**3 - 20*o**3)*(222*o - 57*o - 86*o).\nAnswer: -79*o**5 - 158*o**4 - 79*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25 and 728457475.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 465708*t**3 + 1390032*t**2 - 21249*t + 81.\nAnswer: 3*(t + 3)*(394*t - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200139 is divided by 22.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 7, 5, -29, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, l: 4, d: 3}. What is prob of picking 2 l and 2 d?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g + 11 + 222294*g**2 - 86238*g**2 - 8 + 284209*g**2.\nAnswer: 420265*g**2 - g + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w = 23025 + 2425. Round w to the nearest 10.\nAnswer: -2550","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(16\/(-116)) - 4 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -106*z - 389. Is f(-13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -37*a + 15*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(1539) + -1)**2 + 0 + (sqrt(19) - sqrt(304)) + sqrt(2299) + 1 + 1.\nAnswer: -6158 + 80*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 271*n**3 - 82*n**3 - 83*n**3 - 84*n**3.\nAnswer: 22*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -658 + -7 + 2 + 7. Let z = 676 + m. Sort z, 1, 0.\nAnswer: 0, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-4))\/((-4)\/64)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of -3\/8*v**4 - 5\/6*v**3 - v**2 - 1\/12*v**5 + 0 + 0*v + 1\/120*v**6. Is 15 a factor of f(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -3 + 18 + 0*k - k + 0*k. Determine b(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - -0.1170132?\nAnswer: 21.1170132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g - 3. Let p(u) = u + 1. Let t(o) = h(o) + 3*p(o). Let j(b) = -9*b. Determine t(j(x)).\nAnswer: -9*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4750388803 minus -0.396?\nAnswer: 4750388803.396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33365 - 16334. What is the ten thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**2 + 1. Let q(p) = -p**3 - 7*p**2 - 2. Give 2*q(u) + 7*t(u).\nAnswer: -2*u**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -3*m + 12, -2*f - 3 = m - 10. What is the smallest common multiple of 22 and f?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -1\/3 (c) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 3*o**3 - 12414*o**2 + 1251795*o - 20094300 = 0.\nAnswer: 20, 83, 4035","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 - 38*c - 230. Determine h(-6).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 263 is divided by 69?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 23 - 1 = 3*r, 0 = 3*z + 2*r + 1. Is 291 less than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2376\/253)\/6)\/((-20)\/(-230)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -73730 and 3.\nAnswer: -221190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 5585 to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-10 - 5) - ((2 - 6) + 13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tzzt when four letters picked without replacement from {z: 7, d: 9, t: 2}.\nAnswer: 7\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 44 = 4. Let x be (v\/12)\/2 + 40\/12. Let p(g) = 3*g + 3*g - 2*g + x*g. Let n(t) = t**2. What is p(n(r))?\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 8085 = -15*t. What are the prime factors of t?\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1575 - 0.2425. Which is the closest to 4? (a) o (b) -7 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-50)\/4*(-588)\/1470. Solve -1 = 2*a - t*h, 4*h + 7 = -6*a + 5*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q = -4*l - 202, -4*q + 681 - 569 = 3*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/1800 and 113\/1080.\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -1\/2, 3.705 in ascending order.\nAnswer: -1\/2, -0.4, 3.705","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.29 - -6.09. What is the fourth smallest value in p, 0.5, 231, -0.4?\nAnswer: 231","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 - 11*m**2 + 6*m + 2. What is the units digit of c(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-40)\/(-1050))\/(18\/90))\/(6*54\/42).\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 4. Suppose 0 = 4*u + a*u - 28. Solve 3*b + 4*k - 16 = 0, u*k + 7 = 2*b + 3 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.5 - 0.56. Let o = f - 2.94. Let z = o + 2.999936. What is z rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of s**5\/180 - 53*s**4\/12 + 2809*s**3\/2 + s**2 + 519. What is w in d(w) = 0?\nAnswer: 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + -17.5. Let m = -2.5 + u. Sort -0.4, 1, m.\nAnswer: m, -0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -94679, -104031, -113383, -122735, -132087?\nAnswer: -141439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/2*(-108)\/(-10). Suppose -5*y + 8*y - n = 0. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate q**4 + 701*q + 35133 with respect to q.\nAnswer: 4*q**3 + 701","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24860005*j*n**3*s**2 - 4*j*n**2 - 11723*j*n*s**2 + 6*j*s**2 wrt n.\nAnswer: 149160030*j*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -139 times -0.141?\nAnswer: 19.599","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 37951 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**2 - 6*z + 7. Let l(y) = 3*y**2 - 7*y + 8. Suppose 0 = 8*c - 15 + 47. Let j(r) = r**2 - 4*r - 26. Let u be j(c). Calculate u*w(d) - 5*l(d).\nAnswer: -3*d**2 - d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j**4 - 5056*j**3 - 1592632*j**2 + 3200448*j - 1602756 = 0 for j.\nAnswer: -633, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 14, -7, -3, 4, -36, 5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7125011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -231 divided by -5.\nAnswer: 231\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*o**6 - 4*o**4 - 348*o**2.\nAnswer: -1680*o**3 - 96*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*d**3 + 28*d**2 - 2*d**4 + 2*d**3 + 3*d + 8 + 0*d**3 - 7*d**3 in the form q + l*d**3 + s*d**4 + w*d + t*d**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -422*v**2 - 3 + 419*v**2 + 3.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -196498270.259 + 199865.259. Let i = z - -196298393.9999907. Let o = i - -11. Round o to six decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32683 is divided by 1211?\nAnswer: 1197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1968 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2579270*c = -2579090*c - 6120 for c.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 861 and 2166129.\nAnswer: 88811289","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41, 362, 1227, 2906, 5669, 9786?\nAnswer: 15527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s**2 - 36040*s - 64944080 = 0 for s.\nAnswer: -3604","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -42.3 - -42.31. Sort 5, -0.8, f.\nAnswer: -0.8, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 3 w when four letters picked without replacement from wwwcwwcc?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 20, -z + 24*n = 27*n + 21. Which is the closest to 0.1? (a) -2\/11 (b) 0.13 (c) 3\/2 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108506 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(108\/8)*18\/(-14).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.2 + 4.9. Let z = -4.1 + 4. What is the third smallest value in z, p, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3701*m. Let s(w) = -2*w + 47. What is u(s(v))?\nAnswer: -7402*v + 173947","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 17804760 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15*-1)\/3*2\/2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 96 and -75754.85?\nAnswer: 75850.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1371*f + 1353*f - 3799*f - 3*f**3 + 1075*f.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1517 + 1935. Is 2 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away -0.336949897?\nAnswer: 0.436949897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 1200?\nAnswer: 1133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9.02 - -9. Let g = f + 0.019988. Round g to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of 11*h**6\/150 - h**5\/5 + 7*h**4\/60 + h**3\/15 + 6*h - 4. Let l(c) = 0. What is c?\nAnswer: -2\/11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/64 and (3 - 36\/16)*1666\/(-1632)?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 743 + -355. Suppose 0 = -4*t - x + 5*x + f, -5*x = -10. Suppose -3*j + 3*o + 8 = -2*o, 4*j - 5*o = 19. What is the greatest common divisor of j and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.52 and -7.\nAnswer: -8.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -11*k + 4797. Let z(h) = 17*h - 4796. Give -3*o(w) - 2*z(w).\nAnswer: -w - 4799","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/4)\/((-12)\/8). Let l = 53190 - 53186. Factor -r*k**l + 0 + 1\/4*k**5 + 1\/4*k**3 + 0*k + 0*k**2.\nAnswer: k**3*(k - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.55 + -2.22. Let y = 0.97 + w. What is the nearest to -1 in -2, y, 2\/21?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1 and 92.9.\nAnswer: 92.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6 (b) 0.163 (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of -1\/60*v**5 - 60 - v**2 - 7\/6*v**3 + 11\/24*v**4 + 0*v. Determine h(5).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 307 is divided by 100.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k**2 + 2*k. Let w(m) = -2*m**2 + 2*m. Let u = 0 - -2. Let b be -4 - (3 - (u + -1)). Let a be b\/(-4) - 51\/6. Calculate a*w(g) + 6*i(g).\nAnswer: 2*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.39? (a) -3\/5 (b) -1.159 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3171*l + 152376 + 156703 = 29513 + 32228 for l.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45191854, 90383709, 135575564, 180767419?\nAnswer: 225959274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 14 - 46 = -3*i, -18*i = -20*i - 3*b + 13 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6130 and 1.\nAnswer: -6130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86 + 0\/(1\/((-1)\/2))?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - -1. Let t(d) = -d - 11. Let n(h) be the second derivative of -h**3\/6 - 11*h**2\/2 - 18*h. Let p(a) = f*t(a) - 2*n(a). What is p(-7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29485 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 + 5*u. Let n be p(-5). Suppose -2*q + 8 + 2 = n. Solve 4*i + q = -11 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 51\/2 of a kilometer?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - 1)*((-b + b - 2*b)*(2 - b - 2) - b**2 - 3*b**2 + 3*b**2 + 0 + 2*b**2 + 0 + 6*b - 6*b - b**2).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8889746, 8889745, 8889744, 8889743, 8889742, 8889741?\nAnswer: 8889740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + (sqrt(1584) - (sqrt(1584) + 3*sqrt(1584))) - (-1*sqrt(1584) + -5 - sqrt(1584))) + 5)*-6*-4)**2.\nAnswer: -138240*sqrt(11) + 969984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ykuuxxulkuyuxu. Give prob of sequence uylu.\nAnswer: 5\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from abr. What is prob of sequence rb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 4. Suppose -4 = r*g - 16. Suppose 5*q - g*q = 0. What is the closest to q in -0.1, 0.4, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1032, -3, -5, 68.\nAnswer: -5, -3, -2, 68, 1032","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.057 - 0.05700015. What is c rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2, -45, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29917822 is divided by 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z + 4. Let x be m(6). Let u = 0 - x. Let k be (-7000 - 0) + (2 - u). What is k rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nrm when three letters picked without replacement from krnmnkrknkznknr.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 6*r**3 + 2*r - 4. Let f = 65 + -35. Suppose 0*q - 3*q = -f. What is the remainder when l(2) is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(68)*3)\/sqrt(4) + 3.\nAnswer: 3 + 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 6 = -3*p + 27, -c - 1 = -3*p. Let t = c + -4. Solve 5*y = 4*m - 13, -t + 19 = -3*y - m for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -75, 2, 1\/3, -8, -3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*j**2 + 0*j**3 + 2*j**3 - 6*j**2)*(-2 + 1 + 3).\nAnswer: 4*j**3 - 70*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 453343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zpenzkzzekzkezez. What is prob of sequence np?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-206)\/(-309)*(-5)\/(-15)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1445964795?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -41 + 80. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -130. Let q = o - 54. What are the prime factors of q?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 9*h**2 + 685*h + 5948. What is s(-66)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*k**2 - 2*k**2 + k**2)*(-4*k + 2*k - 2*k) as w*k**3 + c*k + q + f*k**2 and give w.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36 + -22. Is r a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -1)\/(5 - 3) - 201\/(-201)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 PM and 9:48 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/20 and -37\/240.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 15358, 15354, 15340, 15310, 15258?\n\"Answer: -u**3 + u**2 + 15358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 6*m + 19 - 46 + 4*m**2 + 31. Let k be 2\/4*(9 + -1). Let l(x) = -4*x**2 - 7*x - 5. Calculate k*l(r) + 5*w(r).\nAnswer: 4*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -0*v. Let j(p) = 0*p + 5*p - 5 + p + v + p**2. Is j(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-200)\/1820*(-4158)\/(-495)\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 55*w = 54*w - 11, 0 = -g - w + 11 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 30 - 5. Suppose -5*f - 3*g + 421 = -324, -2*f - z*g = -298. Let h = 229 - f. Does 25 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 88553584 and 6325256?\nAnswer: 88553584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1208 is divided by 93.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ro when two letters picked without replacement from aoooaqooqrqbros?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/4)\/(3\/(-4)). Suppose o*p + 0 = 2. Solve -2*h + 3*k = 2*k + 1, -3*h = -k - p for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24*r**6 - 2537*r**2 + 10527 + 8*r**6 - 10527 + 181*r**4 + 8*r**6 wrt r?\nAnswer: -960*r**3 + 4344*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**3 + 15*x**2 + 5*x + 15. Let r be i(-10). Let o = 930 + r. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 260 or 125404?\nAnswer: 125404","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/3 + 2)\/(1 - 133\/114)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 505, 2039, 4599, 8185, 12797?\nAnswer: 18435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z + 60*o = 63*o + 25965, -3*o = -z + 4340. Which is greater: z or 4326?\nAnswer: 4326","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiviviviiivivii. What is prob of picking 1 v and 3 i?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2*1846*(-112)\/(-5824)\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 7:23 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6578 + 6582. Sort -2, -4716, s in decreasing order.\nAnswer: s, -2, -4716","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3*b**3 + 2*b**2 + b. Let r be s(-1). Let f = r + 5. Find the first derivative of 3*j**3 - 4*j**f + 5 - 3 wrt j.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -1100101101111?\nAnswer: 1100101110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 1:36 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 185 and -0.12.\nAnswer: 184.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/701 - 1384\/6309. Suppose 4*v + 625 = -379. Let o = v - -761\/3. What is the common denominator of o and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 256 = 2*z - 4*o, 5*z = -o + 350. List the prime factors of z.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bmkpbyybkiy. What is prob of picking 1 k and 1 b?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -5. Suppose 207*l + 231 - 622 = 437. Solve 4*m = l*q - u, 0*m = 5*q + 5*m + 45 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 522? (a) -3 (b) 5 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 180655 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fidu when four letters picked without replacement from {u: 3, d: 1, i: 2, w: 1, f: 3}.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7365269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 53 - 320. Let s = h + 260. Let d(n) = 3*n + 2. What is d(s)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/(-15))\/((-1584)\/5544*(-371)\/(-3)).\nAnswer: -4\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 78 and 18.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 2, 2\/11, 0, 467, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1459288 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 5214*s**3 - 11*s**2 + 34*s - 2. Let i(z) = z**3 - 2*z**2 + 8*z + 1. Let k(l) = -a(l) + 3*i(l). Find the third derivative of k(p) wrt p.\nAnswer: -31266","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 188\/36 - 5 - 17\/9?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/77717200 and -47\/102.\nAnswer: 233151600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k**4 + 4*k**4 + k**5)*(9 - 1 - 2) + 4*k**5 - 2*k**5 - k**5.\nAnswer: 7*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -192.1 + 192. Which is the fourth smallest value? (a) 2\/9 (b) -1 (c) o (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u + v + 14 - 62 = 0, -3*v - 31 = -4*u for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3604*m = 3606*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 149\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 11:33 PM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7.9 and 4.\nAnswer: 31.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of -1\/90*b**5 + 4*b + 0*b**2 + 1\/27*b**3 + 0 + 0*b**4. What is s in z(s) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - 35\/(-14)*-2. Let j(q) = -q**3 + 4*q + 5. Let y be j(o). Solve v = -4*v - y for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30378 and 2928?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*d**5 - d**4 - 169*d**3 - 32879*d.\nAnswer: 280*d**3 - 12*d**2 - 1014*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**3 - 216*i - 6 + 428*i - 3*i**3 - 30*i**2 + 5*i**3 - 213*i to the form a*i**2 + t*i + n*i**3 + y and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 46.64 - 46.0672. What is v rounded to two decimal places?\nAnswer: 0.57","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/175 in 1, -2\/61, -4?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 470 and 141.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of 1564*o**3 - 1565*o**3 + 5 + 2 + 24*o**2 - 192*o. Suppose l(x) = 0. Calculate x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1539290 is divided by 769470?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17892027 and 1545.\nAnswer: 89460135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 94573, 94577, 94581, 94585, 94589, 94593?\nAnswer: 94597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7 and 214298.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 394 + 140 + 13*q + q**2 + 546 - 13*q.\nAnswer: q**2 + 1080","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66769?\nAnswer: 23, 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6102 + 20640?\nAnswer: 26742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -332, -334, -336?\nAnswer: -338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 86258 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pttjjtpptpj. Give prob of picking 2 j.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3434408?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence upud when four letters picked without replacement from {i: 3, g: 3, p: 1, d: 1, w: 5, u: 2}.\nAnswer: 1\/16380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/(s*(s*(s*s**(-2\/5)\/s*s)\/s)\/s)))**41\/(((s\/(s\/s**(-6)))\/s)\/s*s**(-1\/5)))\/(s**6\/s*s\/(((s**7*s)\/s)\/s)*s)**31 assuming s is positive.\nAnswer: s**(9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/5 (b) -653 (c) -0.029 (d) 5.286\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/8 - 673*g - 905858.\nAnswer: -(g + 2692)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3143155 + -1911199. Let g = 1231993.99996 - o. Let f = -38 + g. What is f rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 - y. Let x be d(1). Suppose 8*i - 6*i - 10 = x. Suppose -28 - 27 = -i*a. Solve -3*l - 3*q - 4 - a = 0, -q - 5 = 5*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 44 + 37*w - 44 + (-2 + 2 - 2)*(0*w - 3*w + w) + 2*w - 2*w + w + w - 2*w + 0*w + (-3 + 3 - 2*w)*(-6 + 2 + 2) - 2*w - 5*w + 0*w.\nAnswer: 38*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 200808 and 552.\nAnswer: 4618584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2183 or -98?\nAnswer: 2183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1116686*h - 941*h**2 - 1116686*h - 376 with respect to h.\nAnswer: -1882*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 23792150 to the nearest one million.\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101*s**3 + 102*s**3 - 206*s**3.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 - 3*x + 8. Give r(4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-430)\/(-345) + 8\/92. Let f(l) be the first derivative of l**4 + 4 + 0*l**2 + 0*l + r*l**3. What is the third derivative of f(v) wrt v?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11993 + -11963. Solve x*s - 199 = 11 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 81480 and 727500.\nAnswer: 10185000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248951 is divided by 22543.\nAnswer: 978","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11147827 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.3 (b) -1647 (c) -1\/4 (d) -1\/2 (e) -2 (f) -0.89 (g) 0.2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of -q**5\/20 + 13*q**4\/6 - 25*q**3\/6 - 109*q**2\/2 + 2*q + 56. Is o(22) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3*k - 2. Let t(v) = -4632*v. What is s(t(r))?\nAnswer: -13896*r - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7273593, 14547188, 21820783, 29094378, 36367973, 43641568?\nAnswer: 50915163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/18 + 6\/(-27). Let r be -11 + 15 - 154\/41. Let i = -21\/82 - r. Which is the closest to 6? (a) i (b) y (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2670330 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t - 3. Let l be q(5). Let f(a) = 3*a**2 + 2*a**2 - 10*a + 3*a. Let i(j) = 3*j**2 - 4*j. Let y(g) = -g**2. Let x be y(2). Give l*i(m) + x*f(m).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -3\/4 (b) 0.3 (c) -4.139 (d) 2\/5 (e) -4 (f) -22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -527, -407, -129, 385, 1213, 2433, 4123?\nAnswer: 6361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -3*f**3 - 28*f**2 + 69*f + 520. Let n(i) = i**3 + 6*i**2 - 2*i - 1. What is the smallest common multiple of t(-10) and n(-6)?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 3*h = 13, 0 = 5*s + 3*h - 5 - 45. Let y(k) = -17*k**3 + 10*k**2 + 5 + 0*k**3 - 3*k**3 - 5*k. Let f be y(s). Round f to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27061 is divided by 70?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21398 - 21400. What is the closest to 0 in -2\/13, 0.02, r, 0.42?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24.41 + -27.41. Put -2\/13, 5, -4\/5, n, 2 in descending order.\nAnswer: 5, 2, -2\/13, -4\/5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.006 in 3, -2\/11, 1\/4, 2\/27?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -6*((-3)\/9)\/(-1). Which is the nearest to 0? (a) -4 (b) k (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3\/17 - 25\/51. Suppose 5*o = 837 - 162. Let w = o - 677\/5. Put w, r, -2 in ascending order.\nAnswer: -2, r, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 7*m = 3*m. Determine p so that 0*p + m + 1\/5*p**2 - 1\/5*p**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -c - 3. Suppose -c*x + h + 173 = 0, 3*x - 3*h + 6*h = 189. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -10, 0.17, 4?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 146*m**4 - 14 wrt m.\nAnswer: 584*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 936 divided by 22?\nAnswer: 468\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {u: 3, g: 17}.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18978 + 18977.95. Which is the second biggest value? (a) -64 (b) 5 (c) 1 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, y: 2, z: 4, h: 8, c: 1}. What is prob of sequence hyzt?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -9+0.03957461\nAnswer: -8.96042539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*k - 44 = 28*k. Let t(u) be the second derivative of -1\/21*u**3 + 0*u**k + 1\/14*u**4 - 4*u + 0 + 2\/35*u**5. Factor t(j).\nAnswer: 2*j*(j + 1)*(4*j - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13424312636 + 2?\nAnswer: 13424312640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4193330 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -21*k**2 + 16*k**2 + 7*k**2. Let d(r) = -2*r**2 + 4. What is d(s(g))?\nAnswer: -8*g**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4680763 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -36253865, -36253824, -36253783, -36253742, -36253701?\n\"Answer: 41*d - 36253906","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, v: 6, z: 9}. What is prob of sequence zv?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -1\/154019858?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2553)\/(-666)*(-12)\/(-69).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrr when three letters picked without replacement from {k: 2, r: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 949 + -755. Let b(u) = u**3 + 6*u**2 - 3*u + 1. Let i be b(-5). Let s = g - i. Does 9 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 7, 4, -44, -21, -7, -5 in descending order.\nAnswer: 7, 4, 2, -5, -7, -21, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0*0.2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*f - 2 + 3 - 1 to the form c + k*f and give k.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 573819 divided by -13.\nAnswer: -573819\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q**2 - 2*q**2 - 47 + 47.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*f = 3*u - 15 - 14, 5*f - 2123 + 2104 = -3*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n. Let q(y) = y - 2*y - 3*y - 6 + 10*y + 4*y**2. Let u(k) = -11*k**2 - 17*k + 17. Let l(p) = -17*q(p) - 6*u(p). Determine g(l(m)).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-168)\/20 + -6 + 4 and -35\/27?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 991449.9 centimeters to micrometers.\nAnswer: 9914499000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/21736 and 181\/13318734.\nAnswer: 53274936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*m, 0 = -5*q + 9*q - 2*m - 56648. Is 20 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 147770628 to the nearest integer?\nAnswer: 529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -24 (b) 4 (c) 795\/29 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 123207520 a multiple of 292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus -0.006?\nAnswer: -3.994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -155 < -162?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 21*d**2 - 40*d - 25. Give n(-19).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 88 (b) -28 (c) -4 (d) -356\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.225993464 rounded to three decimal places?\nAnswer: 0.226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + s = 4*n + 21, 0 = 3*s - 9. Let a = -4 - n. What are the prime factors of 52\/a + (-2)\/(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (-410)\/(-10) + 8\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -348 - -2440\/7. Let t = 1261\/20 - 424\/5. What is the common denominator of p and t?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 43927?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 5*q**2 - 88*q - 110. Give t(19).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 + 10 = 5*u. Let o(f) = -f**3 + 7*f**2 - 7*f + 10. Let x be o(6). Let r be x\/10 + (-12)\/(-150)*-5. Solve r = -u*p + p + 20, g - p + 3 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -337, -675, -1013, -1351?\nAnswer: -1689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -4*k + 793 + 869, 4*l = -4*k + 1656. What are the prime factors of k?\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1555541791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 217 - 58*k + 534 + 57*k.\nAnswer: -k + 751","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m**2 - 4276*m - 1830 = 0. What is m?\nAnswer: -305, -3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 212779907?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 47*f**2 - 28*f - 170. Let l be o(-15). Let w = l + -920098\/85. Calculate the common denominator of -19\/102 and w.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1451646?\nAnswer: 2, 3, 7, 41, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*79610\nAnswer: -39805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*h**3*l*w + 6*h**3*w**2 + 334*h*l*w**3 + 48*w**3 with respect to l.\nAnswer: 3*h**3*w + 334*h*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 18*r**2 - 36*r - 140. What are the prime factors of v(22)?\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125482 + 62735 + 62747 - 5*p**3 - 5*p**3.\nAnswer: -10*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 349.783 + -350. Let x = -0.21700097 - t. What is x rounded to 7 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b - 637 = -483. Let y(p) = -67*p. Let t be y(-2). Suppose -a = 4*g - 215, -5*a + 146 + t = 5*g. What is the remainder when g is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lb when two letters picked without replacement from {b: 1, g: 1, c: 1, h: 2, l: 1, k: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1611\/(-6) + -3)*(-4)\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2504*s**4 + 10*s - 6.\nAnswer: 30048*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w = -5*w - 785. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4*(-2 + 60\/8). Suppose -2 = 2*k + j. Is 19 a factor of 382\/12 + (-2)\/k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -26201218?\nAnswer: -26201219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 62, -52, -2 in decreasing order.\nAnswer: 62, 0, -2, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 3:15 PM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63609929.\nAnswer: 19, 3347891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/8656)\/((-10)\/(-438178)). Let v = m + 4\/2705. Find the common denominator of v and -91\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43111, 43169, 43323, 43621, 44111?\nAnswer: 44841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/16? (a) -0.5 (b) 66 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 48991516?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1731*a - 14647 + 2530 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14112 and 223552.\nAnswer: 14083776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -14 (b) -0.4 (c) -2 (d) 5\/11 (e) -59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*d = 55*d + 900 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = 71*n - 70*n. What are the prime factors of n?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -4. Suppose -135 = 2*t - 2*v + 7, 0 = -t + 4*v - 83. Let f = t + 69. Which is the closest to 2? (a) r (b) f (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(1008))**2 - sqrt(1008)) + 5 + sqrt(1008) + 2*(-1 + sqrt(1008)) - (3 + sqrt(70)\/(sqrt(60)\/sqrt(6)))*-4)*1.\nAnswer: 28*sqrt(7) + 4047","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of -6*t**4 + 5*t**3\/3 + 5*t**2\/2 - 5*t - 1114. Let b(l) = 23*l**3 - 4*l**2 - 4*l + 4. Determine 5*b(m) + 4*y(m).\nAnswer: 19*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2058301813 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 16, u: 2}. What is prob of sequence ku?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 334281842?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 - -4) + -5 + -1. Calculate the smallest common multiple of 22 and l*20\/(-15)*(-3)\/(-1).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8023470 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -0.8, 1\/5, 3, 9?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 43*k + 716 = 39*k, -4*g + 965 = 5*k. Calculate the remainder when g is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from asisirrssirstsr. Give prob of picking 4 r.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000762475289 rounded to six decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-6*((2 + sqrt(1008) + -1)*-2)**2.\nAnswer: 2304*sqrt(7) + 96864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9345106639 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 32784.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14917 is divided by 148.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 83028884 to the power of 1\/4, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 7*a**2 - 3*a. What is d(2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 4*x**3 + 6616*x**2 + 2781440*x + 37654400 = 0.\nAnswer: -820, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 93486119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -263299\/23 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -46 - 8*v + 6*v + v + (0 + 5 + 0)*(-4*v + 9*v - v + (-3 + 1 + 3)*(-2*v - 2*v + 2*v)) to the form w*v + r and give r.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i\/(i\/(i*i**0\/i*i)))\/i))**34 assuming i is positive.\nAnswer: i**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-4 + sqrt(396)))**2*-5*3.\nAnswer: -98880 + 11520*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 419346 is divided by 24648?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 73488 + 5?\nAnswer: 73492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.3, -2\/9, 0, 308012, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, a: 3, e: 3}. Give prob of sequence az.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 26492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2\/21, -0.31, -6 in descending order.\nAnswer: -2\/21, -0.31, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/8 + (-15)\/10. Suppose 0 = -5*w - q + 1615, l*q - 1292 = -4*w - 2*q. Does 23 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aah when three letters picked without replacement from {a: 6, h: 6}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 92925 and 2175?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o. Let g(u) be the second derivative of 2 - 37\/12*u**4 - 5*u + 0*u**3 + u**2. Determine g(p(w)).\nAnswer: -37*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 4 - 13*l + 11*l + 3*l. Let c be n(-4). Let d be 4 - ((2 - 3) + c). Solve 3*m - 20 = -q - 9, d*q - 3*m - 19 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 3. Let z be -3 - (j\/33 - (-1685)\/(-495)). Factor z*q**2 + 2\/9*q + 0.\nAnswer: 2*q*(q + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x + 1. Let q(r) = -14*r + 40. What is -q(g) + 12*z(g)?\nAnswer: 2*g - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 1180266.2 to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**4 - s**4 + 2*s**4 + 0 + 0 + 2*s**4 + (4*s**4 - 3*s**4 - 3*s**4)*(2 - 3 + 0) - s**4 - 3*s + 3*s - s**4 - 2*s**4 - 3*s**4.\nAnswer: -2*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**(-2\/39))\/(w**(-2\/27)*w*w*w))\/(w\/(w**13*w*w)*(w*w\/(w\/w**(1\/4)))\/w))**(1\/8) assuming w is positive.\nAnswer: w**(16673\/11232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -39, 12, -3, -1, 1171, 4 in ascending order.\nAnswer: -39, -3, -1, 4, 12, 1171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 2 = v, -4*v + 5*v + 4*q = -4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6 + 1 + (-2 - 0). Suppose 0 = r - 1, -2*p - p - n*r = -14. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1157051983 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 4*u + 3*u. Factor u - 1\/4*r + 2*r**2 - 4*r**3.\nAnswer: -r*(4*r - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18453 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -185, -2, -20, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 4. Let c(a) = -3*a + 36. Let j(z) = -z + 12. Let n(w) = m*c(w) + 8*j(w). Determine n(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000090735 to six decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -8*j + 0 + 7*j + 0. Let h(m) = -3*m**2 + m**2 - 2*m**2. Calculate r(h(n)).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106883924?\nAnswer: 2, 7, 103, 37061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 - 5*g**2 + 6*g - 2. Let r be c(4). Solve 10 = 5*h - 5*i, 5*i - r = -3*h - 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 696585 and 10?\nAnswer: 1393170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -14*q**2 - 13*q + 5. Let i(h) = h**2 + h - 1. Give 5*i(w) + t(w).\nAnswer: -9*w**2 - 8*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7196 - -7248. What is the remainder when 513 is divided by v?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -305*r. Let h(j) = 12*j**2. Determine q(h(n)).\nAnswer: -3660*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5714151 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -0*d - 4. Suppose -5*l + l = -d, -26 = -3*k + 4*l. Solve -2*x = -3*y - x - 2, 3*y - k = -5*x for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(3) + (sqrt(3) + sqrt(9)\/sqrt(3))**2 + sqrt(18)\/(sqrt(12)\/sqrt(2)).\nAnswer: 2*sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*w + 119*w - 3056 = 0 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 PM and 7:38 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -14644532990816 minus 0?\nAnswer: -14644532990816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10\/(-5) - -6) + 500. What is the second derivative of 517*q - 985*q - 68*q**5 + u*q wrt q?\nAnswer: -1360*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 0 + 2 = -c, 4*c - 10 = -2*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 + 7*i - 6. Let y be n(4). Let s be 60\/(-18) - 1\/(-3). Let k = s + y. Which is greater: 2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 340*a**2 - 2*a + 2. What are the prime factors of y(3)?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 - -1 - (19 - 14) - -5\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 176623, 176613, 176603?\n\"Answer: -10*j + 176633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 142364 (base 8) in base 2?\nAnswer: 1100010011110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 997169 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 4*l. Let c(y) = 73 + 80 + 76 - 229 + 590*y**2. Calculate j(c(q)).\nAnswer: 2360*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/7)\/c**(-4))\/(((c**1*c)\/c)\/c**(2\/5)))\/((c**(-1\/3)\/c*c)**(-4\/21)*(c\/(c*c\/c**0)*c)\/c*c*c**(-6)) assuming c is positive.\nAnswer: c**(2986\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-49)\/(-238)*(-8)\/14?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 82028 and 16.\nAnswer: 328112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rj when two letters picked without replacement from jjrjjrjrjjjj.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 3 - ((-49 - -78) + -29 + (0 - 36)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2 + 22*f.\nAnswer: -f*(f - 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7693917?\nAnswer: 3, 7, 11, 19, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 237*l + 388*l + 9*l - 151*l.\nAnswer: 483*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13032?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43571414 is divided by 107?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of -197*q**6\/24 + 3*q**5\/20 + 47*q**3\/3 - 3*q**2 + 269*q. Find the third derivative of x(c) wrt c.\nAnswer: -5910","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -50, -21, 0 in increasing order.\nAnswer: -50, -21, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -33 + -20?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8116799\/240 - -33820. Let i(f) be the third derivative of 0 + 1\/96*f**4 - 18*f**2 + 0*f - 1\/12*f**3 + r*f**5. Let i(y) = 0. Calculate y.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/(-85))\/(594\/(-8415)).\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/sqrt(2)*-6*4*1.\nAnswer: -24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*r - 6 - 6. Let t(l) = -l - 4. Let f be t(-4). Find the third derivative of -10*z**r + 0*z**5 + 3*z**5 + f*z**5 + 20*z**2 wrt z.\nAnswer: 180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p. Let w(r) = 4*r - 10*r - 11 + 11. What is 5*f(m) - w(m)?\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -20366, -41404, -62442?\n\"Answer: -21038*p + 672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.05, 3\/2, 0.037, -2 in ascending order.\nAnswer: -2, -0.05, 0, 0.037, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - 8 - 2 - 7*l + 7 to x + i*l and give i.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -20*a**3 + 1143*a**2 - 161*a - 572. What is m(57)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - 11. Let y be (3\/6)\/(24\/144). Solve 2*m - 4 = m - 4*l, -y*m + 4 = i*l for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13 + 21 + 2)*(-6 + 0 + 3)*((-1 + 0 + 6)*(-2*a + 0*a + 0*a) - a - 3*a + 2*a) to o*a + l and give o.\nAnswer: 360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6094.\nAnswer: 2, 11, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(k\/(k\/k**(-2\/9)))\/k)**33*(k\/(k**1*k))\/(k\/((k\/(k\/(k**(2\/3)*k)))\/k)*k) assuming k is positive.\nAnswer: k**(-29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -2*p - 20 + 10, 3*u + 5*p + 12 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = 2*k + 31. Let o = -61 - k. Let l = o - -23. Calculate the least common multiple of 26 and l.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 79 and 44524716?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u**2 + 3*u - 3. Let h(f) = 3*f**2 - 32*f - 46. Suppose 353 + 79 = 36*p. Let i be h(p). Determine z(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -908 - -868. Put -0.3, -2\/5, d in increasing order.\nAnswer: d, -2\/5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -8. Let t(y) = -y + 1. Give q(h) + 2*t(h).\nAnswer: -2*h - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 24 - 102 = c, 5*c = 3*b - 676. Let u = 136 + c. Suppose 2*t + 28331 = -u*f - 1391661, -4*t = 2*f + 1419984. Round f to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3*y - 3*y + 2*y + 4*y. Let t be (2 - 1)\/1 + (0 - -3). Let w(k) = -8*k + t*k + 7*k. Give w(d(z)).\nAnswer: 18*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(-8*o**4 - 517 + 3*o**3 + 517).\nAnswer: 16*o**4 - 6*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s**2 + 2*s - 2. Let w be p(-2). Factor t**3 - 5*t + 2*t**2 + 3*t**3 + w - 4*t**4 + 0*t + t**5.\nAnswer: (t - 2)*(t - 1)**3*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of -p**4\/4 + 7*p**3\/3 - 4*p**2 + p + 3. Let y be m(6). Suppose 0 = 4*n - 5*q + 15, n + 2*q = -13 - 7. Which is smaller: n or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 (base 14) in base 13?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 11 = -5*n, 2*b - 2 = -2*n + 6. Let l(x) = 3*x - 1. What is the remainder when -2 - -10 - 1 - n is divided by l(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.5 + -10.5. Let r = -27 - d. Let i = -16.5 - r. Which is the smallest value? (a) i (b) -3\/5 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/k**(-7\/5)*k\/(k*k**(2\/7)))**(-31))**(-2\/27) assuming k is positive.\nAnswer: k**(6758\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116780 = 2*l - 154708. Let k = 283744 - l. Round k to the nearest 10000.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2 + 2*z - z**3 + z + 1 + 0. Let k be n(2). Sort k, 3, -2 in descending order.\nAnswer: 3, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -1. Let b = f - -4. Let z(r) = -17*r + 3. Let j be z(b). What is j rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 55628.02246 to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 506*n = -502*n + 14, -4*c - 16 = 4*n. Suppose -4*i - x + 0*x = -12, 5*i = x + 15. What is the remainder when i is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x**2 + 32795696*x + 67222354757776 = 0 for x.\nAnswer: -4099462","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/13)*x\/x**10*(x**(-2\/15))**(6\/11))**21 assuming x is positive.\nAnswer: x**(-138537\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 19658081 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 4*q**2 + 2. Let d be f(-4). Suppose -d*h + 0*h + 6 = 0. Suppose 6*y = 10*y + 8. Put y, 5, 12, h in decreasing order.\nAnswer: 12, 5, h, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -114 = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -383609\/58 - -18196\/29. Let b = -6318 - n. Let r = -350 - b. Find the common denominator of -5\/11 and r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 364065 and 83460.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - j = 6, 2*j = 2*b - b - 6. Let o(d) = -4*d + 3*d**b - d**2 + 4 - d**2. What is the units digit of o(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4001, -7642, -11285, -14930, -18577, -22226, -25877?\nAnswer: -29530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-66)\/10 + 6)*-40. Is (-598780)\/(-21) - 8\/f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1632 and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 672953 is divided by 3504?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = -30*c + 24 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -3*p - 16. Let i be s(-7). Find the third derivative of 4*u**2 + 0*u**5 - 2*u**5 + 11*u**i wrt u.\nAnswer: 540*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y. Let v be h(-5). Let u = v - -11. Suppose -2*c - 2*l = -28, -3*c + 14 = 2*l - u*l. Is 10 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 12, 3*t - 2*h + 24 = 75. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 1. Sort -0.3, -1\/6, r.\nAnswer: r, -0.3, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t - 18. Suppose 5*b + 4*y + 160 = 0, b - y = -4 - 19. Let d be b\/(-63) - (-484)\/(-36). Calculate w(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 514811\/56 + -9193. Do -20 and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.48762712 to 2 decimal places.\nAnswer: 1.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1092009 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 273963, 273957, 273951?\nAnswer: 273945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 PM and 7:12 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of v**6\/40 + v**4\/6 + v**2 + 4. Let r(j) be the second derivative of p(j). What is the second derivative of r(q) wrt q?\nAnswer: 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 245*p - 5*p**3 + 498*p - 253*p.\nAnswer: -5*p**3 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - -2416?\nAnswer: 2414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((20\/(-42))\/(-5))\/(78\/364). Solve -2\/9*o**2 + 2\/9*o + s = 0 for o.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 4*x = 0, 0 = -20*b + 15*b + 2*x + 22. Calculate the highest common divisor of b and 274.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 - 4*f. Let a be t(-4). Suppose 5*w + 5 = -a*w. Let u = -399\/2255 + -1\/205. Which is smaller: u or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -4 (b) 594 (c) 0.4 (d) 16.42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13297*r - 101 = 13398*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-3)*12\/(-40). Let j = -114\/5 - -23. Let n = 63 + -63. Which is the closest to 1? (a) j (b) g (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**5 + 24*d**4 + 3*d**3 - 354*d**2 - 816*d - 480 = 0. Calculate d.\nAnswer: -5, -4, -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -8d1725 (base 14) in base 16?\nAnswer: -495605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 21 - 12181?\nAnswer: -12160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 2*x**2\/7 + 160*x + 1118\/7 = 0.\nAnswer: -559, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*y + 4*y + 0*y)*(1 - 2 + 2) + 2*y + 2*y - 2*y)*(-4 + 1 + 3 - 4)*(41 - 3*y - 41).\nAnswer: 36*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xmxumnnxuwxoon. What is prob of picking 1 x, 1 o, 1 u, and 1 m?\nAnswer: 32\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32901, -32898, -32895, -32892?\nAnswer: -32889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13050353 + -4?\nAnswer: -13050401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 3, 4, 1, 0.4, -51, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a - 5*j + 23, -3*a - 3*j = -267135 + 267114 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -31, 343, 1119, 2297?\n\"Answer: 201*s**2 - 229*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 + -12. Let c = 71 - 66. Solve -5*f + b*u - c = -0*f, 17 = -2*f + 5*u for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 13 + 99\/(-22)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of -52\/3*f**3 - 3 - 19*f**2 - 8\/3*f**4 + 0*f. Differentiate s(x) wrt x.\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - 2*x**2 + 3*x - 5. Give q(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4254504 and 33356.\nAnswer: 1076","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - -1)\/3 + 147. Suppose -169 = -5*y + n, 0 = -4*y - 2*n + x - 10. What is the greatest common divisor of y and 374?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2931614\/113 less than 25944?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a gram in milligrams?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11.74 + 12. Let n = -0.25978 + s. What is n rounded to five decimal places?\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10001101101110001101100 (base 2) to base 12.\nAnswer: -167b578","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*6*1*sqrt(99)*-4.\nAnswer: 288*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*b - 5*b + 0*b)*(3*b**2 - b + b) - 9 + 4*b - 2*b + 10 - b**3 + 3 - 4*b**3 - 3 as p + a*b**2 + w*b + x*b**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1200451 (base 6) in base 14?\nAnswer: 18a3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - -8. Let r(t) = -x - 3*t + 13. Let q(d) = 2*d**2. Calculate q(r(v)).\nAnswer: 18*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -11. Let u(x) = -11*x - 6. Let r be u(z). What is the highest common divisor of r and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.9, -0.3, -1, 27?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 + 16.8. What is the second smallest value in 4, z, -1\/2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14160 divided by -120.\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - 2) + 0\/(0 + -1). Let t(o) = -o**3 + 4*o**2 - 3. Let h be t(3). Let d = g + h. What is the smallest common multiple of 6 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*d + 70*d = 57*d + 2700 for d.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p - 1 + 7 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004346574806 rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 300210007?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + -21. Let a = w + 52. Is (1*216\/a)\/(6\/80) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-405)\/(-30) + 33\/(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1397*h - 21*h**2 - 2861*h + 1464*h.\nAnswer: -21*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + 166. Let s = f - 887\/5. What is the biggest value in 9, 5, s?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 580604, 2322408, 5225414, 9289622?\nAnswer: 14515032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33 - -33.33. Let q = -0.03 + p. What is the third biggest value in 0, -3\/5, q?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5669125 is divided by 2386?\nAnswer: 2375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -6*m**3 + m**2 + 4*m + 3. Let o be p(-1). Solve 5*u = o*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 240 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.162387 nanograms in tonnes?\nAnswer: 0.000000000000004162387","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 71 and 9159?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of y**3\/6 + 3*y**2 + 2*y. Let n be c(-4). Suppose -n*j - 6 = -0*j. Let x(g) = -g**2 - 3*g + 3. Give x(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + 7*t**2 + 2*t - 10. Let x be v(7). Suppose -x = -3*q + 8. Suppose -q*n = -32 - 48. Solve 0*b = 4*b + n for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-34)\/(-8) + (-18)\/(-24). Suppose -4 = z*p - 14. Suppose 112 = 2*s + 2*h, p*h - 181 = -3*s - 9. Is 12 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 9 = -b, -6*b + 2*b + 12 = 4*v. Suppose -4*c - 3*q - 43 = 0, 0 = c - 2*q - v*q + 5. Let i = 13 - c. What are the prime factors of i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in -3, -64443, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9357879 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 172, 134, 96, 58, 20, -18?\n\"Answer: -38*x + 210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 9758046 = d - 0*i, 0 = i + 9. Round d to the nearest 100000.\nAnswer: -9800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 6*b**2 + 5064*b + 1232. Let a(r) = 2*r. Calculate a(f(z)).\nAnswer: 12*z**2 + 10128*z + 2464","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -156 + 156.3. What is the second smallest value in 0.19, m, -0.5?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 32058\/12 + 6 - (-1 - (-4)\/8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1869\/(-84))\/((-2)\/8). Suppose 4*h + i = 61. Which is the smallest value? (a) -1\/3 (b) h (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**3 + 43*h**2 + 100*h + 86. Let x(s) = 25*s**3 + 515*s**2 + 1200*s + 1030. Suppose 95*g + 805 = 72*g. Let q(r) = g*n(r) + 3*x(r). Factor q(i).\nAnswer: 5*(i + 2)**2*(i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 g when two letters picked without replacement from ogog.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12298, -24613, -36930, -49249, -61570, -73893, -86218?\nAnswer: -98545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4\/(-21))\/2)\/(20\/(-90)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -bb?\nAnswer: b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -3*a**3 + 0 + 0*a**3 + 4 + 2*a**3 - 2*a + 6*a**2. What is z(6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zaaltatazztttlaatz. What is prob of picking 1 a and 2 z?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 42\/5 of a gram?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 4*u**2 - 3*u**2 + 3 + 2*u**2 - u**2. Let g(s) = -3*s**2 - 5. Let k(y) = 3*g(y) + 5*i(y). Let p(q) = -q. Determine p(k(j)).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j*j*j\/(j\/j**(-3)))\/j))**(-8\/11) assuming j is positive.\nAnswer: j**(-24\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 900 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10 + -164b7?\nAnswer: -164a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 104 - 268. Does 15 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - 25134062\/(-1408)) + 20\/110. Let l = h + -17851. What is the common denominator of 1\/96 and l?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.18 - -0.28. What is the nearest to 0.14 in k, 0.3, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 15 = -3*n - 2*t, n = -t + 6. Suppose 4*x + 24 = -w + 4*w, -9 = 3*x. Suppose 32 = w*a - 0*a. Calculate the lowest common multiple of a and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t - t + 0*t)*(2*t**3 - 6*t**3 + t**3) + (-4*t**3 - 5*t**3 + 4*t**3)*(-9 + t + 9) in the form d + p*t**2 + h*t**4 + q*t + j*t**3 and give h.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 488869813 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 a, 1 d, and 1 e when four letters picked without replacement from edoooeoooawaaddaaoo.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 8*h**3\/9 + 5446*h**2\/3 + 4084*h\/9 = 0.\nAnswer: -2042, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.631737ml in litres?\nAnswer: 0.006631737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 791950 and 0.38863?\nAnswer: 791949.61137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from xyakkfsykfky?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.27045 rounded to 3 dps?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 12 = -2*q. Let y be q\/(-6)*(-193 - 1). Suppose 0 = 4*c - y - 47. Solve 3*s + s - c = -4*h, -5*s + 2*h = -10 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 5*k + 3*r = -1320, 3*r + 264 = -k. Is k\/(-56) + (-4)\/(-14) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10.35 + 114.75. Let y = -97 + t. Let s = -7.3 + y. Put -5\/4, -5, s, 4 in descending order.\nAnswer: 4, s, -5\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56342, 59322, 62314, 65324, 68358, 71422?\nAnswer: 74522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = l - 2*r - 17, 2*r - 13 = -l. Suppose -m - 2*n - 3 = -l, 0 = m + n - 15. Calculate the least common multiple of m and 324.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -694 + 609 + 2*t + 3464 to the form d*t + g and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 + 3*l**2 - 2*l**2)*(-51*l**2 - 51*l**2 - 7*l + 108*l**2).\nAnswer: -6*l**4 + 7*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36208853*m + 4*m**2 + 36208853*m.\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 21*y**2 + 29*y + 73. What is g(7)?\nAnswer: -1096","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is 20121122122 (base 3) in base 10?\nAnswer: 130238","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = -4*a + 612. Suppose a = 3*g - 29. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -b + 3*b - 9, 4*m = -2*b + 14 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 47492689 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11220?\nAnswer: 2, 3, 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*j - 5*j + 0*j as p + r*j and give r.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 5:46 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 45*b**3 - 131*b**2 - 12*b + 45. Calculate s(3).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10\/(-6))\/((-8)\/6). Let s = -368\/1885 - -6\/145. Which is the smallest value? (a) 0.1 (b) -5 (c) s (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55832 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 4)*(-d - 2 + 2) + 1 - 1 + 2*d + 15*d + 13 - 13 + (-3 + 1 + 4)*(2*d + 2 - 2).\nAnswer: 22*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001744 to 4 dps.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1674\/(-6696))\/(1\/(-280)).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - (2848 + (-12)\/(-4)). Let o be (2 + 28\/(-6))*k. What is o rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 22868 - -7?\nAnswer: 22871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**3 - 3975*f**2 - 1053375*f - 93048125.\nAnswer: -5*(f + 265)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + (-2 + 7 + -2)\/3. Let y be -8*j\/(-8) + 1*-4. Solve 2*a = -y*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 562 - -442. Is 126 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 310 less than or equal to 554370\/1789?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 240 and 144.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + q**2 + 4. Let c be d(0). Suppose 4*i - 11 = -t, -3*i + c*t + 32 = -0*t. Suppose i*a = -p - 2*p, -8 = p + 4*a. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -100068, -100108, -100148, -100188, -100228, -100268?\n\"Answer: -40*g - 100028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 10:47 PM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3*m - 8. Let z(u) be the first derivative of 5*u**3\/3 + 525. What is z(h(l))?\nAnswer: 45*l**2 + 240*l + 320","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 9000 - 2312. Suppose 0 = -q*w + 2824*w + 20380. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6485 + -6417. Let p = -4 - -8. What is the greatest common divisor of j and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 560 or 6144\/11?\nAnswer: 560","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 440966 is divided by 12969?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**5\/v*(v\/((v**(-15\/8)\/v)\/v))\/v*v)**(2\/9) assuming v is positive.\nAnswer: v**(71\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**2. Let x = 48 - 31. Let t(o) = -27*o - x*o + 13*o. Calculate t(d(h)).\nAnswer: -62*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of j**6\/30 - j**5\/15 + j**2. Find the third derivative of n(t) wrt t.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2901.\nAnswer: 3, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2 - -3) + 0)*1. Suppose -5*n - 18 = 4*t, n + 9 + z = -4*t. Let c be 9\/(-3) + (-8)\/t. Solve 0*k = -k - 3*r - 11, -r = 5*k - c for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 885?\nAnswer: -2\/885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2200866*g**6 + 6*g**2 + g - 93162?\nAnswer: -264103920*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 5*q**2 - q + 2. Let p be f(-5). Let b = p + 1. Calculate the highest common factor of 1 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u**5 - 2*u**5 - 4*u**5 - 3 + 10*u**5 + 3 + (1 - u**3 - 1)*(4*u**2 + u**2 - 4*u**2).\nAnswer: 7*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 681161*n**2 - 442630*n**2 + 736148*n**2.\nAnswer: 974679*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of -7*g**4\/24 - 729*g**2. Determine w(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 649*x**2 - 622*x - 8. Let u(g) = -96*g**2 + 89*g + 1. Let q(f) = -4*b(f) - 27*u(f). Determine q(22).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1\/8)*m*m\/(m\/(m**(-20)\/m))*(m**(1\/2))**12 assuming m is positive.\nAnswer: m**(-113\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 288123 and 113113.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 712*w + 1426. Let a be u(-2). Solve 1\/4*o**a - 1\/4 - 1\/4*o + 1\/4*o**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 0.04473.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 3, 8\/3, 4\/5, 1\/47.\nAnswer: -1\/2, 1\/47, 4\/5, 8\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -19\/2*c**2 - 6\/7*c**7 + 3\/4*c**4 + 0*c**6 + 0*c + 0*c**5 + 13 + c**3. Find the third derivative of f(w) wrt w.\nAnswer: -720*w**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccnrnrrcncrcnn. What is prob of sequence ccnn?\nAnswer: 50\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 301030261.\nAnswer: 7, 37, 1162279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 617*x**4 + 97153*x**3 + 83263874*x wrt x?\nAnswer: 7404*x**2 + 582918*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 378*d + d**3 - 2*d**3 + 6*d**2 - 1 - 382*d. Let k be t(5). Suppose m = -m + 2*i + 7116, k*i - 3583 = -m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 183064 and 1715?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7 + -24256?\nAnswer: -24265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180 = -18*b - 16*u + 19*u, -6*u + 4*u = -3*b - 111 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*p**3 + 10*p - 10*p - 1705*p**3.\nAnswer: -1649*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + 200 = 16*l. Suppose l*f - 53 = 47. Let x = 3 + -3. Put 7, x, f, 3 in decreasing order.\nAnswer: 7, f, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 s when two letters picked without replacement from lvblsb?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + -11 - (-4)\/(12\/9). Suppose -y = 1 + 2. Sort 3, y, i in ascending order.\nAnswer: i, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2e (base 15) in base 13?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -140*j**2*l**3 - 17*j**2*l**2 - 5*j**2*l - 167*j*l**3 - 426*l**2 wrt l?\nAnswer: -840*j**2 - 1002*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6148.\nAnswer: 2, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v\/(v**(-2\/9)*v)*v*(v*v\/(v**(6\/5)*v))\/v*(v**1)**18 assuming v is positive.\nAnswer: v**(856\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-33)*(-1)\/(-1)*18?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 286717609 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126885961?\nAnswer: 126885961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 23*a**3 + 24*a**2 + 259*a + 12358. Let c(h) = 46*h**3 + 54*h**2 + 516*h + 24718. Let l(s) = 4*c(s) - 9*j(s). Differentiate l(m) with respect to m.\nAnswer: -69*m**2 - 267","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 6) in base 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 1:38 AM?\nAnswer: 7:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*c - 2032 = -914 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 33.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 PM and 12:52 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) -4\/9 (b) 0.5 (c) -4 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/43268600 and 49\/54085750?\nAnswer: 216343000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 + -16. Let x = q - -30. Let o = -4 - x. Is 12 at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**3 + 6*g**2 + 231*g + 946. What is u(-4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7313262?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -128999 + 3*2\/(-6). What is t rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -l - 5*u + 3, 0 = -5*u. Suppose -5*r + 781 + 10239 = 0. Suppose 4*x - l*x + r = 0. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.18 + 0.82. Which is the nearest to -1? (a) q (b) 2\/11 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4*p - 27 + 2 = 0, -h - 19 = 2*p. Let z = -15 - -29. Let l = z + h. Solve 3*w + l = -2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.852927167 take away 0.5?\nAnswer: -9.352927167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - 10*t**2 + 83*t + 718. What is z(-12)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-479.6.\nAnswer: -2398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 + d + 618. Give f(-25).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - -2. Let d(s) = 5*s**3 - 8*s**2 - 5*s. Let t(j) = -14*j**3 + 23*j**2 + 14*j - 1. Suppose 5*v = 65 - 10. Let c(p) = v*d(p) + z*t(p). Calculate c(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of -1\/6*a**3 + 0 + 4*a + 0*a**2. Suppose 0 = -2*j - 138 + 136. Let o(t) = -3*t + 1. Determine j*d(m) + o(m).\nAnswer: -2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*p + 14. Solve -2*s - p - 18 = 5*m, 3*m - 3*s = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(11\/3)\/(t**0*t))**(7\/4))**(-50))**4 assuming t is positive.\nAnswer: t**(-2800\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 - 0.9. Let i = 0.5 + l. Let z be ((-1)\/2*6)\/1. Put 0.5, z, i in increasing order.\nAnswer: z, i, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1627 - 1631. Suppose -3*v - v - 10 = 2*w, 9 = w - 5*v. Which is the nearest to w? (a) p (b) 1\/2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3725 is divided by 21?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 7*t + 6. What is x(-4)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2*p + 1 = 0. Let o be p\/((-4)\/20*-1). What is the highest common divisor of 30 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 834231 is divided by 11904.\nAnswer: 951","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*b - 2*n + 1, -4*b + 41 = -5*n. What is the second derivative of -q - 3*q - q**b - 3*q**4 wrt q?\nAnswer: -48*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 21 - 62 = -5*m, 0 = 5*m - y - 77. Let q = -139397\/60 + 11596\/5. Calculate the common denominator of (-738)\/m*1\/(-15) and q.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u + 4. Let k = 17 - 3. Suppose 5*h = -3*p + 4*p - 58, -k = h - p. List the prime factors of n(h).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -196 (base 15) in base 10?\nAnswer: -366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 + a - 3417. Let b be x(-59). Let m(n) = 3*n**2 + 1. Let u(v) = 0*v**2 - v**2 + v**2 - v**2. Calculate b*u(q) + m(q).\nAnswer: -2*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -406 - -600. Let q = i + -60. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -5*u**3 - 24*u**2 + 5*u + 8. Calculate the least common multiple of w(-5) and 133.\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a*a**(-5))*a)\/(((a\/a**(-3\/4))\/a*a)\/a))\/(a*a**(-1\/3))**(-10\/19))**(-2\/3) assuming a is positive.\nAnswer: a**(-1277\/342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 16) in base 15?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 2 u when four letters picked without replacement from usdddduudffs.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.88 + -0.12. Let t = k - -11. What is the third smallest value in -3, -2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4278 to the power of 1\/2, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32378526 and 1407762.\nAnswer: 32378526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -173.1 + 173. Let b = 55 + -170\/3. What is the third smallest value in b, r, -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 2 + (3 - (2 + 1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3268544 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11683 is divided by 6608?\nAnswer: 5075","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/7 (b) 1152 (c) -2.35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -11347575 divided by 355\nAnswer: -31965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -40, -59?\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (24\/(-16))\/((-2)\/12). Let s = m + 39. What is the common denominator of -31\/2 and 94\/3*(-12)\/s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 14293829?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.24 - 0.2. Let i = -0.4 - n. Let y = i - 0.04. Sort 1, y, 2.\nAnswer: y, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*t + 2018 = 5698. Which is smaller: t or 57?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -88*t**4\/17 - 42136*t**3\/17 - 5081926*t**2\/17 - 9085896*t\/17 + 1820232\/17 = 0?\nAnswer: -477\/2, -2, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 222.108 days in hours?\nAnswer: 5330.592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**1\/j)**(2\/111))**(-2\/3)*(j**(1\/4)\/(j\/j**(1\/4)))**24 assuming j is positive.\nAnswer: j**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -471062*k*y**3 + 15*k*y**2 - 16*k + 27*y**3 + 7*y**2 + 5612*y wrt y?\nAnswer: -2826372*k + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 407416 is divided by 203544.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -55 - (-2 + 1) - 1 - (19 + (-27 - -11)).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(2187)*1*-3)\/((-6*sqrt(144) + sqrt(36))\/(sqrt(28)\/sqrt(28) + sqrt(4))).\nAnswer: 243*sqrt(3)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2122584 + -4?\nAnswer: -2122588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6701 and 0.444?\nAnswer: -2975.244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 4*i**3 + 8*i**2 - 11*i + 19. Suppose -4*m = 4*g - 40, 2 = 2*m - 5*g + 10. Is n(m) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2*g + 388 = 0. Let f(z) = 3*z**2 + 115*z + 1 - 57*z - 57*z. Calculate the remainder when g is divided by f(-3).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.5 minus -1157173?\nAnswer: 1157162.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/3)\/h*h*h)\/h*h**11\/h*(h\/(h\/(h**5\/h)))\/h*h**(-2\/3) assuming h is positive.\nAnswer: h**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 767 + -771. What is the nearest to -1\/3 in -1\/2, 0, 3\/2, c?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 10 = -2*c, -2*a + 4*c = -58. List the prime factors of a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -624*i = -602*i - 176 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -166 + 171.5. Let f = y - 5.7. Which is the second biggest value? (a) f (b) -5 (c) 4\/5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -3, -5, 32, -2?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 242268, 969179, 2180742, 3876951, 6057800, 8723283, 11873394?\nAnswer: 15508127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 41452915 and 28?\nAnswer: 165811660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 102689473?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3*l**2 + 47. Let g(i) = -3*i**2. Give g(v(s)).\nAnswer: -27*s**4 - 846*s**2 - 6627","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -30000794 divided by 4058\nAnswer: -7393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2471508 and 156?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/25 of a second?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 34*d - 1. Let t(y) = 2*y - 3. Let r(k) = -3*k + 5. Let g(j) = 3*r(j) + 5*t(j). Determine g(c(v)).\nAnswer: 34*v - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/14364 and -29\/6740307.\nAnswer: 26961228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of 7*k**5\/20 + 7*k**4\/12 + 5*k. What is the third derivative of o(n) wrt n?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 1)*(-1)\/2. Suppose -z + 5 - 1 = k. Let d be 6*(z\/(-6) + 1). Solve 4 = d*w - b, w + b - 5 = 3*b for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31+206.2\nAnswer: 175.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-62)\/3*(-2)\/(-8). Let y = x + 329\/66. What is the nearest to -1 in 5, y, -0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.05 + -0.05. Let n = -6867\/8 - -130489\/152. Which is the nearest to -0.6? (a) n (b) 1 (c) g (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -478262, -956444, -1434622, -1912796, -2390966, -2869132, -3347294?\n\"Answer: 2*y**2 - 478188*y - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 20\/6 + (-19)\/57. Let z = -20 - -28. Suppose 0 = 5*v, s*t - 18 = -z*v + 4*v. Calculate the remainder when 21 is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 4*v**4\/3 + 130*v**3\/3 - 406*v**2\/3 - 1930*v\/3 + 350 = 0?\nAnswer: -35, -3, 1\/2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 5*g - 5*p, -4 = -3*g - 3*p - p. What is the remainder when (-2)\/g*(67 + 3) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + 79 = -5*l + 2*g, 2*g + 45 = -3*l. Let x(a) = -11*a. Let q(v) = 56*v - 1. Determine l*x(k) - 2*q(k).\nAnswer: 9*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 321 at least 321?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -33. Let n(f) = 5*f**2 - c*f + 27*f. Let g(w) = 7*w**2 - 6*w. Let i(m) = m**2 - m. Let s(d) = g(d) - 6*i(d). Give n(s(p)).\nAnswer: 5*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -64, -136, -212, -292, -376?\n\"Answer: -2*c**2 - 66*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 6*w**3 - 132*w**2 - 126*w + 246. Let z(o) = 15*o**3 - 394*o**2 - 375*o + 738. Let c(a) = 8*g(a) - 3*z(a). Let c(j) = 0. Calculate j.\nAnswer: -41, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 4*l + 5 = 0, 200*l = 4*a + 195*l + 6 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4619 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 4*s - 40 = 0, 0*t + 2*t - 4*s = 28. What is the first derivative of -10 - 141*y**2 - 12*y**t + 141*y**2 wrt y?\nAnswer: -48*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 + 77 = -5*j - 9*j - 324 for j.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -290\/293 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-41 + 4320\/105)\/((-30)\/14 + 2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -421*j - 414*j = -818*j + 187 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -2210\/3 (b) 107 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 + 7*d - 2. Let l be t(6). Let o = -2 - l. Let p(g) = g**2 + 7*g + 3. Let u be p(o). Which is the smallest value? (a) u (b) -2\/13 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-2*sqrt(847) - sqrt(847))*-4 + 5)**2*5 + -3.\nAnswer: 33000*sqrt(7) + 15246122","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 395177537 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(2\/49)*g*g**(-13\/2)*g*(g*g*g**(4\/9)\/g)**(-4\/9) assuming g is positive.\nAnswer: g**(-40493\/7938)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000496 to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*u + u**4 - 23 + 0*u**3 + 23 + 0*u**3)*(166 + 460 - 17).\nAnswer: 609*u**4 + 17661*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**3 - 240*o**2 - 795*o + 26950.\nAnswer: 5*(o - 49)*(o - 10)*(o + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of -2 + 0*n**3 + 1\/2*n**4 + 1\/2*n**2 + 0*n. Find the second derivative of i(k) wrt k.\nAnswer: 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-129)\/(-1075))\/(3\/(-30)*-2).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/2, -5, -0.397, -0.4, -1\/10?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2291326.\nAnswer: 2, 41, 27943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 5*b**2 - 4*b - 6. Let o be c(6). Let s be -9*-2*1\/o. Calculate the highest common divisor of s and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8187 is divided by 681.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/12 and 99\/18506278?\nAnswer: 111037668","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20597819.\nAnswer: 11, 1872529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -493a (base 11) to base 15\nAnswer: -1da6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.20179642 and 0.3.\nAnswer: 1.50179642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 5*z**2 + 2*z + 2. Let j(i) = 60*i**2 + 25*i + 25. Suppose -3*n = -3*m, 3*n + 16 + 12 = -4*m. Calculate n*j(f) + 50*o(f).\nAnswer: 10*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 - -1.2607149277\nAnswer: 1.5607149277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 334212265 to the power of 1\/2, to the nearest integer?\nAnswer: 18281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 42431283 a multiple of 357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 1 = 2*a, m - 5*a + 19 = 12. Factor 0*q**2 + 0 - 2\/13*q**5 + 0*q**m + 4\/13*q**4 + 0*q.\nAnswer: -2*q**4*(q - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 303 is divided by 65?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b*b**1)**(5\/4))**(2\/125)\/(b\/(b*b\/(b*b**(1\/3)))*b*b\/b**(1\/4))**25 assuming b is positive.\nAnswer: b**(-15601\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (-6)\/(3\/(9\/(-2)))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 + i - 13. Calculate n(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.852 - -0.012. Let h = k + -0.46. What is the third biggest value in 1, -4, h?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 615 + -664. Let j = 1026 - w. What is the hundreds digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 321003 and 243.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 17 = 47. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1555160?\nAnswer: 2, 5, 17, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1\/5, 2\/9, 1\/4, 4\/9, -7?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 404 - 360130*g - 200 - 204.\nAnswer: -360130*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/3911?\nAnswer: 1\/3911","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.745071 millimeters in meters?\nAnswer: 0.001745071","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-448)\/704*(-4)\/(-14). What is the fourth smallest value in 2\/5, -1, l, 1\/3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - y + 32 - 10, -2*t + 19 = -3*y. What is the units digit of ((-1101)\/(-15))\/1 - 2\/t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 408 is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -4904 (b) -5 (c) -0.5 (d) -19 (e) 2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m**3 - 48*m**2 - 25*m - 3. Let y be w(17). Let d = y - 399. What is the lowest common multiple of d and 20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31489360 divided by -2?\nAnswer: 15744680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5701332 (base 9) to base 8\nAnswer: 13557075","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 - 2 - (-664413749430)\/(-54959868336). Let p = h + -6\/6856271. Let o = 6\/167 - p. Calculate the common denominator of o and -68\/15.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 6038, 5977, 5916?\n\"Answer: -61*c + 6099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 2)*(0*y**5 - 4*y**5 + 5*y**5 - 2*y**5 + 3*y**5 - 2*y**5 + (-4*y**4 + 3*y**4 + 3*y**4)*(2 - 2 + 2*y) + 138*y**5 + 261*y**4 - 261*y**4).\nAnswer: -284*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (54\/(-81))\/((-10)\/(-27))*245\/(-1029)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 274971*v**3 + 5*v**2 - 4*v + 575 wrt v?\nAnswer: 1649826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4596956 less than -1?\nAnswer: -4596957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 81866*k**3 - 4*k**2 + 23*k - 27. Is d(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + 9 + (-3 - -2). Suppose -g - 18 - h = 3*u, 3*u - g = -20. Let t = -3 - u. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.08 - -0.32. Let a = 9.5 + -58.5. Let d = a - -49. Sort d, u, -1 in ascending order.\nAnswer: -1, d, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-110)\/(-33) + 3\/(-9). What is the common denominator of (102 - w)*((-95)\/(-50) + -2) and -42\/25?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 32*w - 6*w - 27*w + 15*w**2 - 3*w**2. Let g be (-4)\/(-18) + 22\/(-18). What is j(g)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 235305 and 8753346?\nAnswer: 43766730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -531 or -548?\nAnswer: -548","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.5119 + -102532?\nAnswer: -102489.4881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 539705 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-14)*-90*(-126)\/59535?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 7:59 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {h: 3, y: 5, l: 2}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -130030102 (base 4) to base 6\nAnswer: -2250334","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 8*a + 30*b - 76 = 20*b, -a - 4*b - 197 = -217 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-6141)\/(-4094) + 9\/2\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 13. Let x = 12.96 - a. Let m = 2.04 + x. What is the smallest value in -3, m, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + 6 - (4 + -153851) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - -6)*(-329)\/35. Let m = t - -75. List the prime factors of m.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 14484697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) + (sqrt(95) - sqrt(95)*-2*5) + -1*sqrt(95)*3 + sqrt(95))\/(sqrt(10)\/(1*sqrt(2)*-2 - sqrt(2))).\nAnswer: -30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 4.9. Let u = l - 0.1. Let f = -69 - -68.8. Sort u, 0, f.\nAnswer: f, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1212122 - -1?\nAnswer: -1212121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -210.23, -2, -4, -14 in descending order.\nAnswer: -2, -4, -14, -210.23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.162731cm in nanometers?\nAnswer: 1627310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1941\/(-45) - (-4)\/30. Let r = m - -64. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -37 + 39 - (2 - -27)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44634 and 1621875?\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 265506 is divided by 66363?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 5*k + 527 - 527. Let r(o) = o. What is r(i(l))?\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 - 7*n**2 + 3*n**2)*(-n**3 - 4 + 4 + (0*n**3 + 2*n**3 + 0*n**3)*(3 - 3 + 3) + (n**2 + 2*n**2 - 4*n**2)*(3*n - 6*n + 2*n)).\nAnswer: -36*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4703 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -13 + 855\/63 - (-414)\/(-651). Which is the closest to 3\/2? (a) 0.03 (b) 0.5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*n - 9 = 17*n. Suppose 3*v - n*w + 8*w - 201 = 0, 3*w = -5*v + 319. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41451 > 40524?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - 4*u**2 + u + 4. Let g be s(-4). Let h be g\/1*(-2)\/4. Let n(i) = i**3 - 2*i**2 + 1. Let j be n(-1). Which is greater: h or j?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*x**2 - 42*x**2 + x**2 + 209*x - 211*x.\nAnswer: -28*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 + 3*p**2 + 2*p + 5. Calculate x(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2*h + 5)*(2*h**2 + 2*h**4 - 2*h**2) - 6*h + 2*h - 1394*h**5 + 1395*h**5 + 7*h**3.\nAnswer: -3*h**5 + 7*h**3 - 4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 28\/6*(-6)\/(-7). Suppose r*h + 3 - 19 = 0. Solve -h*o - 31 = -5*v, 4*v = 4*o + 5*v + 13 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**2 - 23 - 3*k**3 + 5 - 3*k**2 + 14 - 5*k. Calculate the remainder when 112 is divided by w(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 626980*o = 626928*o + 416. Let z(t) = -8*t - t**3 + 5*t**2 + 0*t**3 + 4*t**2. Calculate z(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3635\/3 + -1190. Find the common denominator of -36\/5 and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (0 - (-3 - -5)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2*n - 20, 0*h + 60 = 4*h + 2*n. What is the least common multiple of 10 and h?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42641 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 minus 83196062?\nAnswer: -83196097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -4*p**2 + 32*p - 11. What is the remainder when (-2)\/7 - (-928)\/14 is divided by d(7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by 78\/182 + (-74)\/(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*g**3 - 2238*g**2 - 34839*g?\nAnswer: -12*g - 4476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 2*n + 18, 0*n + 15 = 3*a - n. Let x(w) = w**3 - 5*w**2 - 8*w + 8. Let i be x(a). Let c = 9740 - 9741. Sort c, i, 4\/3.\nAnswer: i, c, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + 2. Suppose -x*k + 0*b + b = -40, 4*k - 36 = 2*b. List the prime factors of k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 401033, 802133, 1203233, 1604333, 2005433, 2406533?\n\"Answer: 401100*a - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 615218312?\nAnswer: 2, 31, 2480719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1969721836.\nAnswer: 2, 41, 197, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) + 2*sqrt(2736)*-2 - (sqrt(2736) + (sqrt(2736)*-2)**2 + 4)) + ((5*3*sqrt(190))\/sqrt(10))**2 + 2.\nAnswer: -6671 - 48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 5*u**3 - 2*u**2 + 6*u. Let q(s) = 4*s**3 - 3*s**2 + 6*s. Let d(l) = 2*q(l) - 3*v(l). What is the second derivative of d(b) wrt b?\nAnswer: -42*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 19318.75nm?\nAnswer: 19.31875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of r**3\/3 - r**2\/2 + r - 77201. Suppose 9 = -3*o - 0, -o = z + 4. Let y = -1 + -1. Let h(l) = l - 3. Give y*d(b) + z*h(b).\nAnswer: -2*b**2 + b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 3 - 5 + 9*o + 3 + 2. Let x be t(5). What is the remainder when 39 is divided by (15\/4)\/(18\/x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20929436 to the nearest integer?\nAnswer: 4575","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6900, 14779, 22656, 30531, 38404, 46275, 54144?\nAnswer: 62011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8091, 16131, 24171, 32211, 40251?\nAnswer: 48291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2315471 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3.5? (a) 16 (b) -2\/615 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*w - 26 - 28 + 55 as n*w + j and give n.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 18972.5 + 0.06\nAnswer: 18972.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 54 - 49. Let u be (-1)\/((-989)\/(-198) - y). Calculate the highest common divisor of u and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*g**3 + 1838 - 1838.\nAnswer: -30*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 7124055.8 to the nearest one thousand.\nAnswer: 7124000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 6 - 2 + (1 + 0 + 1)*(-3 + 3 - 3))*(2 - 3 + 4)*(2*k - 5 + 5) in the form r*k + t and give r.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -8 + -4 + 227092\/12 + (-80)\/60.\nAnswer: 18911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(49)\/(4*sqrt(7)) + (sqrt(112) - (sqrt(112) + 4))**2 - (-5*(2*sqrt(567) - (-1 + -2*sqrt(7) + sqrt(7))))**2.\nAnswer: -63184 - 3799*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31 + 21. Let q = -2686 - -2716. Is 1026\/q - (-2)\/d a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-153)\/6*8\/12. Let n(o) = -o**2 - 19*o - 28. Let h be n(y). Which is the third biggest value? (a) -4 (b) h (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 235764 by 8732.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.4398, -0.4, -1\/4, 1 in descending order.\nAnswer: 1, 0.4398, -1\/4, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t = 17*t - 168. Let w be 102\/t + (-1)\/(-7). Suppose -6*b + b - 13 = -s, w*b + 23 = -4*s. Sort b, -5, 4, 3.\nAnswer: -5, b, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3132583558 a multiple of 3347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + 15 - 12) + 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2748?\nAnswer: 2, 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2b47a2 (base 14) in base 5?\nAnswer: 341320324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -570924\/5 - -114186. Let 0 + 2\/5*c**3 + 0*c - j*c**2 = 0. Calculate c.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 840 a factor of 3507878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*z**4 + 6*z + 11*z**4 - 19*z**4 + 2*z**5 + (-2*z**4 + z**4 + 0*z**4)*(-3*z - 4*z + 5*z).\nAnswer: 4*z**5 + 2*z**4 + 6*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1057730?\nAnswer: 2, 5, 19, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/54 and 85\/10578?\nAnswer: 95202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-29 - -32)\/(3\/2). Suppose -2*n - n + 2536 = -2*x, -j*n + x + 1692 = 0. Is n a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10485257?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (2020\/1414)\/((-1)\/7)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -508761, -508759, -508757?\n\"Answer: 2*f - 508763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-75)\/(-36) - 31\/(-186)*(-1441)\/(-22)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/5)\/(h\/h**(1\/9))*(h*h**2)**(20\/3))\/(((h\/h**(-1\/9))\/h)**8)**(-5\/6) assuming h is positive.\nAnswer: h**(2734\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 179 + -114. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 3*g - 22, 2*b + 14 - 4 = 5*g. Suppose -104 = -3*s - b*s. Suppose -1680 = p - s*p. Is 35 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 0 + 26 - (-1 + -2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5262779.\nAnswer: 179, 29401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + -3 - 1) + 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -519410 rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/17, -3, 0.4, 30, 10?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 3*j + 8, -2*a - 18 + 0 = -4*j. Let r = a + 5. Let i(v) = -v**3 + 5*v**2 - 3*v - 4. Let g be i(3). Put r, g, 0 in ascending order.\nAnswer: 0, r, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36e4 (base 15) in base 3?\nAnswer: -121000221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 7. Sort 3\/2, -5, d in descending order.\nAnswer: 3\/2, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -36*o**2 + 30*o - 30. Let i(z) = -z**2 + z - 1. Let q(r) = -33*r + 630. Let s be q(20). Calculate s*i(v) + h(v).\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -28322 (base 9) to base 4\nAnswer: -10230101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 - l**2 - 3*l - 4. Let g = -64 - -82. Suppose 6*n = n - 5*w + 5, 4*n - 3*w - g = 0. Calculate x(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -131 - -133. Let h = 0.09 + 1.91. Which is the closest to y? (a) h (b) -1\/10 (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -3*y**5\/4 + 1587*y**3\/2 + 8424*y**2 + 30525*y\/4 = 0.\nAnswer: -25, -11, -1, 0, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 j when two letters picked without replacement from kkjhkjihijrikkk.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-10))\/(15*(-77)\/86625)?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/69*1566\/18. Let z = q + -743\/138. Let t = 2\/2213 - -95141\/19917. Calculate the common denominator of z and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10965 = -1193134*z + 1193263*z for z.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 10 + 2 = 0. Solve 7*s = u*s - 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 3*j + 9 = -3, 0 = -4*z + 5*j + 20 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-18)\/5 + (-10)\/25. Let b = o - -6. Suppose -108 = -4*h - 2*y, -b*h + y + 74 = -3*y. Is h a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 20 - 0. Let o(z) = -z**2 + 10*z - 2. Does 11 divide o(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + 2*j**2 + 3*j - 3. Suppose 9 = 8*x - 5*x. Determine n(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.6, -65, 1\/6, 1024?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 63*t - 150133 + 150133 as s*t + k and give s.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n + 1. Let g(b) = 48*b - 44. Let f(i) = -4*g(i) - 176*o(i). Let a be f(2). Let r be a\/(-5) + 8\/(-20). Solve r*h - h = 0, -5*h + 9 = -3*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*k + 5026 - 5516 = 0 for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 599*l**2*o**3 + 7*l*o**3 + 3771*o**3 + 2*o**2 with respect to l.\nAnswer: 1198*l*o**3 + 7*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1081*j**2 - 2244*j**2 + 1020*j**2.\nAnswer: -143*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11212 + -201122?\nAnswer: -220111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 54604383 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 658902, 658867, 658832, 658797, 658762?\nAnswer: 658727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -9*p**3 - 5*p**2 - 113*p + 5672. Let g(j) = j**3 + j**2 + 2*j + 1. Let i(o) = 5*g(o) + n(o). What is the derivative of i(x) wrt x?\nAnswer: -12*x**2 - 103","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-6)*(-5)\/(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 304980 and 816?\nAnswer: 1219920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or -530652?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + 5*r**2 + 7*r - 6. Let y be z(5). Let t = 115 - 100. Let g = y - t. Solve 4*f + i + g = 0, 2*f - 2*i + 8 = -3*i for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 3. Let w(f) = 5*f + 22. Let h be w(-4). What is the closest to l in -1\/4, -5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 + 17. Let o = -1 + b. Put o, 0.2, -0.01 in decreasing order.\nAnswer: 0.2, -0.01, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3367*b + 132 = -3389*b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12621589 - -8451522. Let q = x - -4170114.00013. Let y = 47 - q. Round y to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 + 6*d**2 + 4. Let b be a(-6). Suppose -b*t + 36 = -2*t. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2229\/9 - 2\/(-6)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4075, 8155, 12247, 16357, 20491?\nAnswer: 24655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 110 - 164. Let t = -19 - p. Is (5 - 3 - 0) + t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) + sqrt(209)*-1*2)\/sqrt(11)*6.\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 76314.981 - 76282. Let k = j - -0.019. Let q = -32.9868 + k. Round q to three decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*n + 24*n - 10 = k, -5*k - 5*n - 15 = 0. Let y be 2\/((-34)\/(-38) + -1). What is the biggest value in y, -0.3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 63*y - 101*y + 40*y + 422 + 2*y**2 to the form p*y + a*y**2 + q and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 29*p + 196. Let x be b(-6). Put -5, 3, 5, x in ascending order.\nAnswer: -5, 3, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 3 = -h, 4*h = -h - 5*z. Let q = h + -4. Let p(x) be the first derivative of -x**2\/2 - 2. Determine p(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 558 divide 45756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of s**4\/12 - 2*s**3\/3 + 7*s**2\/2 + s. Suppose 5 = d - 1. Is z(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -24*i**3 - 14*i**2 - 3. Let x(d) = -2*d**2 + 188 - 190 - 16*d**3 - 7*d**2. What is 5*f(v) - 8*x(v)?\nAnswer: 8*v**3 + 2*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 5:34 PM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -62292044 - 1?\nAnswer: -62292045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -18532, -20444, -22356?\n\"Answer: -1912*s - 16620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -70205, -70231, -70257, -70283?\n\"Answer: -26*y - 70179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -44, 4, 3, -4 in descending order.\nAnswer: 4, 3, -1, -4, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4000715\/72 - 55564. Calculate the common denominator of -41\/40 and w.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -91b7 (base 13) to base 10\nAnswer: -20092","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000000100111011 - -1?\nAnswer: 11000000100111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1423 (base 5) to base 8.\nAnswer: -356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 + 19. Let c be (12\/4 - -2)\/g. Suppose 23 = 4*l - o, 2*l - c*o + 32 = 3*l. Solve 0 = -4*w + l + 13 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -98 + 103. Suppose 15 = -0*i + b*i. Let q(o) = -6*o**2 - 2*o - 7*o + 2*o + o**i - 2 + o. What is q(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 4 = k, 23*k + 5*r = 26*k + 8 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 57\/2?\nAnswer: 57\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-20)\/120 + (-1 - (-1265)\/(-6)). Let t = a + 215. Solve 4*c = -3*g, -2*g = -2*c + t*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/52 and -71\/10.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - 31*i - 74. Let v be u(39). Find the common denominator of 403\/v + 38\/(-7) + 5 and -2 - (-1 + (-130)\/(-4)).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3131*p**3 - 2503*p**2 - 2*p?\nAnswer: 18786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 102 - 94. Is (-3)\/(45\/40)*(-1506)\/r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 6 (b) 10 (c) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -2*x + 12. Which is the biggest value? (a) 13\/6 (b) x (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-51))\/(42\/(-18)*(-4)\/(-28)).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 12 = 2*b, 3*b - 7 = -4*s - 24. Let g be (-1 - -4) + (b - -19). Solve -3*u + 6*u - g = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2181*x**2 + 71*x - 486. What are the prime factors of h(5)?\nAnswer: 2, 27197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.72 (b) -2 (c) -1 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/47)*z)\/z)\/(z\/((z\/(z*z**0\/z*z))\/z))*z**(-2)\/z**(-3\/10) assuming z is positive.\nAnswer: z**(-1719\/470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21782 + 21782.3. Let x = 80 + -27. Which is the nearest to -1\/3? (a) -1 (b) x (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ed when two letters picked without replacement from {d: 1, e: 6, b: 3, g: 8}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1028\/16 - (-3)\/(-12). Let k(w) = 2*w + 5. Let c be k(0). Suppose 0 = -c*u + u + 64. Calculate the greatest common factor of u and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 146 - -332. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dviijiiivvviivdi. What is prob of sequence djv?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 30*q + 127. Let v be o(-4). Solve 0 = -3*a + v*f - 2*f + 3, -2*f = -2*a - 2 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -19*m + 15*m. Solve m + 9 = 3*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r = 20*r + 8. What is the closest to r in 5, -1\/6, 2\/17?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8 (b) 0.4 (c) -40177 (d) -0.236\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38*b**3*x**3 + 21*b**3*x - 384*b*x**3 + 3*b*x**2 wrt b.\nAnswer: -228*b*x**3 + 126*b*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 21\/8 of a micrometer?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/18 and ((-9)\/(-30))\/(6\/185)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 1:31 PM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 174, -1076, -5208, -13686, -27974, -49536, -79836, -120338?\nAnswer: -172506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1397, 2791, 4185, 5579?\nAnswer: 6973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t + 4. Let f be u(0). Suppose -2*j = -5*s - 30, s + s + f*j + 12 = 0. Let d = 12 - s. What is the lowest common multiple of 2 and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 2520 = -0*s. Let p be (s\/99 + 5)\/(2\/(-4)). Which is the nearest to -1? (a) -0.05 (b) p (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-2))\/(b\/((b\/((b**(1\/4)*b*b)\/b*b)*b*b)\/b))*((b\/(b**(-2\/3)*b))\/b)\/(b**5\/b))\/((b**(-4)*b**(-5)\/b)\/(b**0\/b)**(-12)) assuming b is positive.\nAnswer: b**(233\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.1 - -0.7. Let j = -1403 - -1402.9. What is the third biggest value in -1\/4, j, s, 1\/8?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3\/((12\/(-110))\/(-2)).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -3 - 1 - 2*c + 0 + 1. Determine h(6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7709 and 1089934.\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -3, 2, -2\/11, -2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7700 = -22*l + 17*l. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, s: 5}. What is prob of sequence pss?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of -4*n**3 + 12*n**2 - 28*n. What is the derivative of w(o) wrt o?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of 5*i**8\/336 - i**7\/21 + i**6\/24 + 3*i**2. Factor h(l).\nAnswer: 5*l**3*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 + 15*t. Let l be q(-15). Suppose l = -2*v - 4*v + 6336000. What is v rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19455461 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 363 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11174*q**2 + 11*q**3 + 7 + 11174*q**2)*(-2*q + 4*q + 1 - 3*q) in the form u*q**2 + h*q**3 + g + j*q + l*q**4 and give h.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gcc when three letters picked without replacement from {g: 1, c: 3, i: 4, u: 6}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**3 + 1188*k**2 + 9276*k + 8092.\nAnswer: 4*(k + 1)*(k + 7)*(k + 289)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a hour in seconds?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28022, -28072, -28158, -28280?\nAnswer: -28438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-227)\/(-2))\/(1\/46). Suppose -m - i - 14879 = 0. Round m to the nearest 1000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 212012 (base 3) in base 15?\nAnswer: 2bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8102071 - 8102071 - 3*f**3.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 34971741 and 18?\nAnswer: 69943482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 1:44 AM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1434543 or 1434540?\nAnswer: 1434543","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -212 + 11011022000001?\nAnswer: 11011021222012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*t + 28. Solve 0 = 5*u - 12 + t for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7716 - 169853\/22. Calculate the common denominator of ((-49)\/24)\/(4\/6) and j.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1731 + 1727. What is the nearest to m in 1\/6, 0.5, 0.6, 1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 364.8452l in millilitres?\nAnswer: 364845.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**22\/l)\/(l\/l**6) assuming l is positive.\nAnswer: l**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -3*d**2 - 53*d - 23. Let l be u(-8). Calculate the greatest common factor of l and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 12803088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 189011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -40*a - 18. Let v(o) = 7*o + 1. What is n(f) + 5*v(f)?\nAnswer: -5*f - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of -13*h**8\/1680 + 5*h**4\/24 + h**3\/3 + 18. Let m(j) be the third derivative of b(j). Differentiate m(d) with respect to d.\nAnswer: -52*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zuqkuzl. What is prob of sequence ql?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2662 divided by 2\nAnswer: -1331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -173 + 70*g - 11*g - 165 - 181 - 174 + 695.\nAnswer: 59*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 6*n**2 - 28*n - 14. Let v be z(5). Are -184\/37 and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 32 - 8*b + 6*b - 9*b - b. Let z(x) = 4*x - 11. Let d(i) = -5*o(i) - 16*z(i). Let h = 10930 - 10920. Let q(p) = -p + 5. Determine h*q(r) - 3*d(r).\nAnswer: 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 111 + 1133540104?\nAnswer: 1133540215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 11*h**2 + h - 6. Let n be r(11). Let q = 21 - n. Solve 3*a + a - q = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 1 = -7. Let n(p) = -2*p + 2*p - p**2 + h*p**2. Let a(y) = y. Calculate a(n(l)).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from degeedzddvggdie. Give prob of sequence geeg.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1845232799 to the power of 1\/2, to the nearest integer?\nAnswer: 42956","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.072 and 2017.3622.\nAnswer: 2017.2902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/3, 843, -5\/2, 2\/9, -0.3, 23?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*-2*sqrt(102))\/(sqrt(54)*-5) + (sqrt(2448) - (sqrt(2448) + 3)**2) + 2 + -2)*-5.\nAnswer: 904*sqrt(17)\/3 + 12285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + v + 1 + (2 + 2 - 6)*(v + 2 - 2) - 5*v + 5*v - v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 439 and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 17*i**2. Let u(r) = -2*r - 3. Give u(s(g)).\nAnswer: -34*g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*g - 25 - 35 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bttkkgwbwttttw. Give prob of sequence wgww.\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*m + 2157 = 1749 for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10*(4 - (-84)\/(-20)))\/(((-40)\/(-34))\/(-20)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 15. Suppose -m + 0 = -5*o - x, 3*m = 15. Which is greater: o or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 2, -3.6, 15, 0?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/160 and 7\/1615?\nAnswer: 51680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 1)*(0*k - 4*k - k) - 5 + 5 - 5*k - 28*k + 62*k - 31*k.\nAnswer: -7*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 20, 0 = -8*i + 10*i + 4*w - 4210. List the prime factors of i.\nAnswer: 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2685 or 3932?\nAnswer: 0.2685","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -3504*t + 518592. Determine c(148).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -274499 or -274500?\nAnswer: -274500","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10277 - 5935. Is 13 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*f**4 + 0*f**4 + 2*f**4 + (8*f**2 + 6*f**2 + 0*f**2)*(-2*f**2 - f**2 + 2*f**2) to the form o*f + m + v*f**2 + y*f**4 + r*f**3 and give y.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 3*b. Let j(m) = m. Let n(i) = -15*j(i) + 4*p(i). Let x(f) = -2*f**2 - 4*f**2 + f**2. Determine n(x(t)).\nAnswer: 15*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 160824433 divided by -1903\nAnswer: -84511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 + h + 1. Let x(g) = 3*g**2 + g + 5. Suppose v + 4*v = -10. Let k = -1 - v. Let f(z) = 500*z - 502. Let d be f(1). Give d*s(l) + k*x(l).\nAnswer: l**2 - l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (-3 - -6) - (24 - (56 - 33))) + 7.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -15794855\nAnswer: -1\/15794855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**3 - 8*g**2 - 5*g + 11. What is the hundreds digit of h(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.06 + 3.14. Let d = -6.2 + w. What is the nearest to -2\/5 in 5\/3, d, -3\/14?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -6*x**2 + 25*x - 28. What is v(5)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*((((((g*g**(1\/24))\/g)\/g)\/g)\/g)\/g)\/g*g*g)**(-6)*((g*g\/((g*g**(-7))\/g))\/g)\/g**6 assuming g is positive.\nAnswer: g**(55\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (2\/81)\/(24\/(-876)) and 23\/33.\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**2 - 5*c**2 + 2*c**2 + (-2*c + 5*c - 4*c)*(0*c + 0*c - c) + 6*c**2 - 4*c**2 - c**2 + (5*c - 3*c - 3*c)*(0*c - 2*c - c) + 3*c**2 + 0*c**2 - 2*c**2.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - 8)\/8 - 1\/(((-32)\/56)\/(-4))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 2*r - 164, -m + 48*r - 46*r + 164 = 0. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 33575*y - 11276*y - 11163*y - 11135*y - 2.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37451*a + 843 = 38294*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 - -27. Solve t = -k*t + 5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 108 and 3996.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i + 26 = -3*i - 2*i for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 13. Suppose w*l - 13 = -1. Suppose l*j = -2*i - 2*j, -4*i = -j - 22. Put 3\/5, i, -1\/4 in ascending order.\nAnswer: -1\/4, 3\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -69. Let z(y) = 10 + 6*y - 3 - 2*y + 4*y + y**2. Let b be z(-8). Calculate the greatest common factor of f and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-84001)\/(-10) - 1 - 240\/48. Let r = 4354 - -4049. Let b = f - r. Find the common denominator of 9\/4 and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -195*(-279)\/(-18135)*(-8)\/(-1).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 45 - 46. Let v be ((-4*2)\/a)\/(6\/27). What is the second derivative of -21*g**5 - g + g**5 + v*g**5 wrt g?\nAnswer: 320*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/3105040 and 97\/2484032.\nAnswer: 12420160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of y**4\/4 - 13*y**3\/3 - 6*y**2 - 19*y + 9. Is g(14) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2264829?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 239070?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -170*a**3 + 10*a**2 + 91*a + 132. Let x be i(63). Suppose -134812175 = 4*g + g. Let k = x - g. Round k to the nearest one million.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = -2*u + 11*s + 498, 0 = -u + 4*s + 239. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of 0*t**4 + 0*t**5 + 0*t**6 + 4*t - 66\/7*t**7 + 0*t**2 + 33 + 4\/3*t**3. Find the third derivative of f(s) wrt s.\nAnswer: -7920*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22264643 is divided by 3180656?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 45416931?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 2\/9 (b) 0.4 (c) 16.5 (d) -0.53 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3887*r**4 + 2297 with respect to r.\nAnswer: 15548*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 AM and 6:01 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uxc when three letters picked without replacement from qcuxo?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12301 (base 4) to base 12.\nAnswer: -301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, x: 4, d: 2}. Give prob of sequence xdd.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 492 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -44 greater than 4235?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8)\/2)\/((-40)\/30). Solve a + 3*a - 36 = 4*z, j*a - 4*z - 31 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((48\/(-160))\/((-2)\/5))\/(3\/60).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a milligram in micrograms?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -169\/616 - 1\/88. Let u = 0.38 + -0.08. Let x = 2074 - 2077. What is the second biggest value in w, u, x?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1046209?\nAnswer: 401, 2609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2.42 * 0.3\nAnswer: 0.726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 + 11)*(271*d**2 - 84*d**2 + 89*d**2).\nAnswer: 3312*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 + 13*w + 0*w**2 + 0*w**2 + 5. Let s be x(13). Let i = 36.6 + -37. Which is the second smallest value? (a) s (b) -1\/5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 577 = d + 39, 2*d - 3*s - 1089 = 0. Let j = 794 - d. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1*(4 + -6*(sqrt(108) - (-1 + sqrt(108)))*-2))**2.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourty-one halves of a day?\nAnswer: 29520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 5*p + 23838, -23838 = 9*z - 11*z - 3*p. List the prime factors of z.\nAnswer: 3, 29, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -d**4\/4 - 6*d**3 - d**2\/2 - 15*d + 42. Let l be i(-18). Sort l, -1, -5, 1 in ascending order.\nAnswer: -5, -1, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -9*j**3 + 13*j**2 - 27*j + 20. Let p(w) = -2*w**3 - 3*w. Let u(x) = -m(x) + 5*p(x). What is u(-14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.4 - 3.4. Which is smaller: f or 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (240\/12900*43)\/4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 3. Find the common denominator of 312\/(-14) + v\/(-28) and -19\/44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 15\/11 (b) 4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2071*j + 37. Let p(c) = -417*c + 7. What is 11*p(v) - 2*w(v)?\nAnswer: -445*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*z**2 - 1 + 531*z**3 + z**4 + 0*z**4 - 35*z - 1063*z**3 + 534*z**3 - 25*z in the form b*z**4 + r + g*z + u*z**2 + t*z**3 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8808 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -192644 by -68.\nAnswer: 2833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 3*a + 19 = 7*g, -4*a = 4*g + 4. Let j(x) be the second derivative of 2*x + 1\/6*x**3 + 0 + 2*x**g. Determine j(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 7393*n**3 - 1 + 7391*n**3 - 2.\nAnswer: -2*n**3 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 222?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 9:05 PM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 160 = 8*i. Sort i, 2, -5.\nAnswer: -5, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 900522 divided by 198?\nAnswer: 50029\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1673 - -1702. Is 39 greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 201 + -230025130?\nAnswer: -230024525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1418603*g = -1418614*g - 187 for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = 2*a - 46, -4*a + 3567*y - 3563*y + 50 = -14 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 2*n**5\/17 + 174*n**4\/17 - 18956*n**3\/17 + 55804*n**2\/17 - 55446*n\/17 + 18422\/17 = 0.\nAnswer: -151, 1, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -8 + (-1 - (-25 - -17))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 2 - 2)*(-11 + 2*v**4 + 15 - 9).\nAnswer: -6*v**5 + 15*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21112120 - 1?\nAnswer: 21112112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 4, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000599513 rounded to six decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -35 + -54146?\nAnswer: -54214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - -624?\nAnswer: 622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1897\/39729 + -1\/969. Is b not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(4\/5)\/u**(-8\/7))\/(u**(-3)\/u)**32 assuming u is positive.\nAnswer: u**(4548\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*y = -38*y - 4*h + 2298, -8 = -4*h. Calculate the highest common divisor of y and 9389.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.1 - 0.9. Let v = 0.5 + 0.4. Let s = -1.3 + v. What is the nearest to 1 in n, s, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5 + 18)*8\/(-2). Let h = 25 + c. What are the prime factors of (-11 + h)*(1 - 3)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 6 - 3. Suppose -4*c - u - b = 11, 5*c + 5*u = -15. Which is smaller: 0.2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.46 + -11.77. What is b rounded to 0 dps?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v = 24*v - 36876. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 7:38 AM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 32*m**4 - 822*m**3 - 2658*m**2 - 2722*m - 918 = 0.\nAnswer: -1, 459\/16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lxlllhlxlxllldl. Give prob of picking 1 x and 2 l.\nAnswer: 27\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 - 15*b - 6. Let k = 3017 + -3000. What is c(k)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 2 - 4 = -306*j + 305*j, -38*v = -2*j - 56*v - 44 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5*-18363\nAnswer: -91815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-27)\/12)\/9 + (-33538)\/(-8). Suppose -5*q + 3778 = -g. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + -1 - 10\/(-2). Suppose 1 = -b - 4, -v*h + 4*b + 68 = 0. Calculate the highest common divisor of h and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1173366?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*b = -71*b + 242567. List the prime factors of b.\nAnswer: 13, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 29*v**3\/2 - 18573*v**2\/4 + 372240*v - 83200 = 0.\nAnswer: 13\/58, 160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-138)\/(-42)*(-84)\/(-48) - (-16)\/(-2))*-12\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of 4\/5*a - 4\/15*a**3 + 3\/5*a**2 - 3\/10*a**4 + 52. Factor v(p).\nAnswer: -2*(p - 1)*(p + 1)*(3*p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 8:47 AM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 130364 divided by -218\nAnswer: -598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112320212 (base 6) to base 3.\nAnswer: -10220121122222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3\/310 + -76\/155. What is the closest to -1\/4 in -2, 4, 0.1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4.2 and 178.\nAnswer: 182.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, c: 3, m: 4}. Give prob of picking 1 m and 3 c.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 5827056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27\/119 + -4033\/19873. Let w = -4931\/3674 + n. Find the common denominator of w and 17\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p + 5. Determine k(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4512 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, a: 9}. What is prob of sequence acc?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -5 + 4*v - 1 + 6 - 5*v. Let s(f) = 16*f**2 + 5*f. Determine s(q(w)).\nAnswer: 16*w**2 - 5*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**2 + 3*q**3 + 49956*q - 49956*q + q**2.\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1453 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3626 is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/125)*x**(-6\/5)\/x)\/((x*x**(-1\/29)*x*x)\/x**(-4\/13)) assuming x is positive.\nAnswer: x**(-257171\/47125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/2)*q**(-2\/3))\/((q**(2\/23)*q)\/((q*(q\/q**(-17))\/q)\/q)) assuming q is positive.\nAnswer: q**(2173\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n**3 - 20*n**2 - 32*n - 16 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1111 - 38\nAnswer: -1149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 - 152.2.\nAnswer: -150.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/70 and -107\/38150.\nAnswer: 38150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 0*b**2 + 4 - 8*b**2 + 3*b**2 + 2*b**2. Let p(y) = -473 - 28233*y**2 + 28234*y**2 + 472. Calculate -2*p(n) - w(n).\nAnswer: n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2115.969976 - 2116. Let l = 0.03 + h. What is l rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 610883\/83 + -7360. Which is smaller: x or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + -21. Let d = c - -268. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 2352.\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 50 = 7*o + 3*t, 4*o - 40 = 5*t for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7.92, 11, 0.5, -71 in decreasing order.\nAnswer: 11, 0.5, -7.92, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 891035.\nAnswer: 5, 178207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 11. Let r = -8 + g. Factor -4*u**3 + r*u**3 + 3*u - 2*u.\nAnswer: -u*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11387125 != -11387126?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 at most as big as 31\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 522*w**2 - 34*w - 4*w - 4*w - 571*w**2 to the form u + l*w + f*w**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 + 4)*(-x + 0*x - 3*x) + 1740*x - 56*x + 1822*x - 266*x + 6432*x to the form y + o*x and give o.\nAnswer: 9664","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 108\/(-21852)*(-4)\/8. Is n at least 3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2021 and 201395.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 222.718 millimeters in meters?\nAnswer: 0.222718","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - 6*w + 11. Determine h(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/14964276 and -56\/3.\nAnswer: 14964276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, i: 1, m: 1}. Give prob of sequence mbi.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 + 6*h. Let n be m(5). Put -3, n, -285 in decreasing order.\nAnswer: n, -3, -285","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/(-8))\/4*(-2)\/8*(-1692)\/(-9)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 a when two letters picked without replacement from alqzlzamzqyyqaq?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-3)\/(h*h**6)*h**(-1)\/(h\/h**(-2\/11)))**(-3))**(-26) assuming h is positive.\nAnswer: h**(-10452\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -47*y - 2*y**2 + 47*y. Let t(a) be the second derivative of 0*a**2 - a - 5\/6*a**3 + 0. Determine t(l(c)).\nAnswer: 10*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 865570.8mg?\nAnswer: 865.5708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3447 + 1929. List the prime factors of 4487\/(-46)*-2 - (-132)\/d.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + 2*h**2 + 27*h - 4. Let z be d(-5). What is the greatest common divisor of z and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 2*z - 25. Let n(m) = m**2. Let s(q) = 3*q**2. Let h(g) = z*n(g) - s(g). Let b(p) = 34*p + 30*p - 56*p. What is b(h(t))?\nAnswer: 16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-17)\/((-68)\/16).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + k)*(-3 + 2*k + 3) + (4*k - 4*k - 2*k)*(-2*k + 0*k + 0*k).\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-77)\/(-5) - (-2)\/(-5). Let f be 1 - (k\/6 + -1). Let s = -1 - -0.8. Which is bigger: s or f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -255 (base 13) to base 16.\nAnswer: -198","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16940.241 - -16940. What is the smallest value in -0.1, t, 0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -5.719 (b) 3\/4 (c) 3 (d) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Is 38491 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61 - (108 + -74 - 41).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-253*x - 157*x + 28*x)*(-4*x + 2*x + 0*x) + 3 + 5*x**2 - 3 in the form v*x + s + b*x**2 and give b.\nAnswer: 769","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 111262729109\nAnswer: 111262729108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*s**2 + 16*s**2 - 25*s**2 - 6 - 2 + 7567*s.\nAnswer: 4*s**2 + 7567*s - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 128 + -189. Let t = b - -37. Let f be (80\/t)\/(2\/(-15)). What is the highest common divisor of f and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 770624.\nAnswer: 2, 12041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + -12?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 18972.4083 rounded to the nearest 100?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 z when three letters picked without replacement from alzlzoloorrpprz.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 390169*y + 22880*y**2 + 9248*y**2 - 390169*y.\nAnswer: 32128*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44 - 49. Let i be (14*(-3)\/(-108))\/(v\/10). Let s = -5 - -5. Is s equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-817)\/1806 - (-25)\/(-30).\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w + 3 = -12*w. What is the first derivative of -4 - 2*j**2 + 3 + w*j**2 wrt j?\nAnswer: 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2879*l - 64449 = 38843*l + 102439 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -365, -369, -373, -377, -381, -385?\n\"Answer: -4*s - 361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of l**4\/12 - 2*l**2. Let m(q) = -8*q - 27. Let n(j) = -10*j - 36. Let a(i) = 4*m(i) - 3*n(i). What is p(a(u))?\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7269927, -7269922, -7269913, -7269900, -7269883?\nAnswer: -7269862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-14))\/((-60)\/40*(6\/2)\/9)\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -21. Let q(v) = v**3 + 12*v**2 + 7*v + 4. List the prime factors of q(f).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 22 - 40*g + 4.\nAnswer: -40*g - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 159770, 319531, 479280, 639017, 798742, 958455?\nAnswer: 1118156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69660*r**3 + 69656*r**3 - 139311*r**3.\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 - 6*n. Let a be y(3). Let d be 6\/a + (-374)\/(-3). Find the common denominator of 93\/4 and d\/(-24)*3\/(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -y - 5*c + 368, -2*y + 6*c - 6*c + 75 = c for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.277 times 22.638?\nAnswer: -142.098726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1.627229 (b) -5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f - 7 + 5 = 4*a, 4*a = -5*f + 31 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 174 = -162. Let m(u) = 4*u + 3. Let h(w) = -77*w - 56. Let d(a) = n*m(a) + 3*h(a). Let r(o) = -o. Calculate r(d(b)).\nAnswer: 7*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 7*d**2 + 41*d + 235. Let n be u(-8). Suppose 2*q - 4*q = 0. Put q, n, -4 in decreasing order.\nAnswer: q, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/3)\/(5\/(-6)). Let v = 210274 + -210272. Which is the closest to p? (a) 2\/9 (b) -24 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 280, 272, 258, 238, 212?\n\"Answer: -3*n**2 + n + 282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2 - ((-5)\/(-30) + (-3487)\/6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -21*p**2 + 467*p - 434. Let u(x) = -26*x**2 + 475*x - 434. Let t(i) = 5*g(i) - 4*u(i). Factor t(a).\nAnswer: -(a - 434)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.3, -1590, 0.06969, 5\/4?\nAnswer: 0.06969","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -4*h**2 - 2*h - 2. Let z(g) = 2*g + 3*g**2 - 1 + 2 + 0*g. Let v(t) = -5*c(t) - 6*z(t). What is the remainder when v(5) is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 151059?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + 75?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 369 greater than 365?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -188 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a microgram in nanograms?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of -o**4\/36 - 5*o**3\/18 + 7*o**2\/3 + 20*o. Solve f(a) = 0 for a.\nAnswer: -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 2 + (-5*(0 + sqrt(76)*2*-5 + sqrt(76) + -3*(sqrt(76)*-2 + sqrt(76))))**2 + 0.\nAnswer: 68407","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/22)\/(15176\/(-375606)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2 + 526060*h - 69184780900.\nAnswer: -(h - 263030)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three fifths of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -2, 1, 0, -4, 4, -1239 in decreasing order.\nAnswer: 12, 4, 1, 0, -2, -4, -1239","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, x: 3, q: 2, z: 10, p: 2, h: 2}. What is prob of sequence qphp?\nAnswer: 1\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20820*q**3 - 854*q**2?\nAnswer: -124920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (1*(sqrt(1088) + -6*(sqrt(1088) + 1*sqrt(1088)) - (-2*sqrt(1088) + 2) - 4*(-1 + sqrt(1088) + -2)))**2*-6.\nAnswer: -1103835 + 12480*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1\/12 - (126\/(-24) + 5)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of -g**5\/20 - 19*g**4\/12 - 4*g**3 + g**2 - 16*g. Let l be v(-18). Is 15 a factor of -3 + l - (4\/2 + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 102*j + 1848. What is t(-18)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -141188995 times 1?\nAnswer: -141188995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*q + 29 + 9 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 859?\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 13*a**3 - 2939*a**2 + 230*a - 901. What is m(226)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 124 (b) 1927 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**3 - 1462*g**4 + 0*g**2 + 9*g**2 + 1458*g**4 + g to d*g**4 + c*g + w*g**2 + u + z*g**3 and give w.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -w - 4*w + 3365, 4*w = 4*d + 2676. Calculate the greatest common factor of 61 and w.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2231 (base 4) to base 6\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -22361531.8 to the nearest 10000.\nAnswer: -22360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 - -27. Calculate the remainder when (232\/(-16))\/(v\/(-4)) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(((-2)\/7)\/((-26)\/91)). Suppose -3*r - 4*n + 4198 = -616, -4 = -g*n. List the prime factors of r.\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3067.\nAnswer: 3067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1898 = m - 8*j + 10*j + 1887, 6*j + 119 = 5*m for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and 16464.\nAnswer: 16467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4667737, -34 in increasing order.\nAnswer: -4667737, -34, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 - 4*m**2 + m + 1. Let n be f(3). Suppose -68 = 2*p - 19*p. Let o(t) = 6*t**2 - 5. Let y(j) = 5*j**2 - 4. Determine n*y(d) + p*o(d).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 2*c**2 - 4*c + 1. Let z be g(3). Let v = z + 1. Is 8 > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + -5a07?\nAnswer: -5a05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -150812*d**6*h**3 + d**3*h**3 - d**2*h**3 + 86*d**2*h - d*h**2 - 337*h**3 wrt d.\nAnswer: -18097440*d**3*h**3 + 6*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 485.1113 tonnes in micrograms?\nAnswer: 485111300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14 or -2?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -593565.2207061.\nAnswer: 593564.2207061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 252115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 14992521 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 873, 896, 941, 1014, 1121, 1268, 1461, 1706?\nAnswer: 2009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(176) - 6*(sqrt(11) + -1).\nAnswer: -2*sqrt(11) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(270)\/(sqrt(9) - (sqrt(900) + sqrt(36))))\/(-2*sqrt(864) - (sqrt(42)*1)\/sqrt(7)) + 1.\nAnswer: sqrt(5)\/275 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - 7*g**2 + 5*g - 4. Let q be n(6). Let b be 2\/5 + 24\/q. Is 8 a factor of 5*(-6)\/(1*b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 9 - 8. Let n be (-2)\/5*(l - -6). Let j be (-6)\/(-4) - n\/(-8)*6. Solve j*r = 2*r + 8 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9417083?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 204386?\nAnswer: 2, 7, 13, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -14 + 6. Let o be 4 + 7\/(g - (1 + -4)). Let p(c) = 2*c**2 - 24*c + 26. Is 4 a factor of p(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 177 = 5*u, 2*k + 4*u = -3*k - 360. Let j be 3\/12*16\/k. Which is smaller: -1 or j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11.6 + -11.2. Which is the closest to 3\/2? (a) 0.11 (b) 3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1738*q - 1741*q = 5*c + 6, 0 = 5*q - 5*c + 10 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lha when three letters picked without replacement from qlkqaqakha.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = 5*c + 62, 5*d = 31*c - 27*c + 20 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3\/8)*c*c**(-1)*c*c)\/(c\/(c**(-5)\/c)*c*c\/c**(-2\/9)) assuming c is positive.\nAnswer: c**(-547\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1300 + -1287. Let y be (6\/18)\/(1\/(-591)). Let w = r - y. What are the prime factors of w?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (7 + -8 - (7 - 1)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.88 rounded to 2 dps?\nAnswer: 1.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y + 0*y - 5*y - 6*y**2 + 3*y**3 - 6. Let j(t) = t**3 - 1. Let v(m) = h(m) - 2*j(m). Let l be v(7). Put l, -1, 4 in decreasing order.\nAnswer: 4, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -37723 + 37784. What is the greatest common factor of k and 38491?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28.5 - -4.5. Let n = c - -89. Let o = n - 65.00074. What is o rounded to four dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-74)\/(-4) - 9\/6. Let s(c) = -n*c + 13*c + 11 + 3. Is s(-11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-2) - 1791\/(-398).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-78 + 8*i**2 + 78)*((-3 - 1 + 7)*(-4*i + 4*i - i) + (2 - 2 + i)*(-6 + 2 + 3)).\nAnswer: -32*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118 + 312 - 106 + 6226*y.\nAnswer: 6226*y + 324","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/4 (b) -5 (c) -0.0854\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -496, -1750, -4886, -10846, -20572, -35006?\n\"Answer: -157*d**3 + d**2 - 158*d - 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2034522 divided by -1.\nAnswer: 2034522","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -75263885*o**3 + 77156685*o?\nAnswer: -451583310*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) -555 (c) -1\/67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**3 + 4720*t**2 + 16725*t - 2386440.\nAnswer: -5*(t - 947)*(t - 21)*(t + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/28 and -23\/306.\nAnswer: 4284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a centimeter in millimeters?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9098708 milligrams in micrograms?\nAnswer: 909.8708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 6*t**5 + 873*t**4 + 6516*t**3 - 269553*t**2 - 139122*t + 136080 = 0.\nAnswer: -135, -24, -1, 1\/2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.7188l to millilitres.\nAnswer: 1718.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4184*j**3 - 325*j**2 - 11691272*j wrt j.\nAnswer: 25104*j - 650","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 21 or -137\/4?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 25 = 3*p, 5*p - 24 = m. Let w(a) = -a + 2. Let h(q) = 33*q + 29. Let d(g) = m*h(g) + 6*w(g). What is the first derivative of d(b) wrt b?\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seven quarters of a kilogram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 16 = -4*r + 1, -5*r + 4*k = -22. Solve -5*w - r*u = u + 40, 0 = -3*w + 5*u + 10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -3 (b) -1\/15 (c) 33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -27a - -366a4?\nAnswer: 36425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 27*k + 58. Let b be q(26). Let a = 40 + -24. Calculate the greatest common factor of b and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-5)\/(-30)*0) + -4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7325828.\nAnswer: 2, 79, 97, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 10431, 41838, 94221, 167580, 261915?\n\"Answer: 10488*i**2 - 57*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-90)\/(-252))\/(8\/48*-3).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 695 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.1 (b) 39\/50893 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -5*u + 10, -a + 98 - 87 = 4*u. Sort 23, u, -5 in ascending order.\nAnswer: -5, u, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 2155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1217 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12364201331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u**2. Let k(h) = 26*h - 6. Let y(i) = -71*i + 17. Let j(g) = 11*k(g) + 4*y(g). Give z(j(q)).\nAnswer: -8*q**2 - 16*q - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 + 9*w + 2. Determine x(-5).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 6*q**2 + 2*q + 1. Let o(u) = u + 5. Let h be o(-7). Let b = 1 + h. What is the units digit of j(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -12*t + 16*t + 18, -5*y = -3*t - 17 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of 3*s**2\/2 - 1. Let u(m) = 141*m**2 + 8. Let t(c) = -2*c**2 - 4. Let i(l) = 2*t(l) + u(l). Calculate v(i(h)).\nAnswer: 411*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 0.3, 10, 0.9?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 - 2)*(-12 + 15 - 15)*(0 + 0 - l) + 0 + l + 0 - 2*l - 3*l + 2*l.\nAnswer: -50*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 449234 is divided by 18718?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -3, -5.\nAnswer: -5, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80878, -646918, -2183302, -5175202, -10107790, -17466238, -27735718, -41401402?\nAnswer: -58948462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*l + 2*l - 14*l)*(-28*l - 28*l + 49*l - 2) as t*l**2 + x + w*l and give w.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4493 - -31450\/7. What is the biggest value in 20, -7, 0.2, d, -2?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (12\/(-5))\/((40\/5)\/(-2480))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f. Let v(s) = -5*s. Let i(d) = 2*v(d) + 11*w(d). Let c(j) = j**2 - 4*j + 4. Let h be c(5). What is the units digit of i(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + 377?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2148 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -121.31731 and 0.3.\nAnswer: -36.395193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -157478 by 1.\nAnswer: -157478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1074, -3, -1, -6, 3 in ascending order.\nAnswer: -6, -3, -1, 3, 1074","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 101 + 1. List the prime factors of m.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/2*(-4)\/(-8). Let j be 4\/d*(-2)\/(-4). What is the third derivative of 69*r**3 + 4*r**j + 2*r**4 - 69*r**3 wrt r?\nAnswer: 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24841653374 take away -7.47?\nAnswer: -24841653366.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1905518?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*k + 1248 = 11*k for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -9. Let n be 115\/25 + o\/10. Suppose -2*j + 5*h = -j - 63, 267 = n*j - h. What are the prime factors of j?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -185061084*u - 235437614?\nAnswer: -185061084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - 4bc57a93?\nAnswer: -4bc57a94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11801?\nAnswer: 11801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 20 = -w, 5*w - 2*y - 2*y - 111 = 0. Find the first derivative of -190*n**3 - 108*n**3 - w*n**3 - 108 + 79*n**3 - 61 wrt n.\nAnswer: -726*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 8, m: 5, o: 2}. Give prob of picking 2 o and 1 m.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*h**4\/2 - 2825*h**3\/2 - 11070*h**2 - 33048*h - 23328 = 0 for h.\nAnswer: -36\/5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9141\/2 + -4575. Put 2, k, -60, 2\/3 in increasing order.\nAnswer: -60, k, 2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1274, -2522, -3748, -4952, -6134, -7294?\nAnswer: -8432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -6*v. Let x(m) = 42*m**2. Calculate i(x(f)).\nAnswer: -252*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -997 - 4*y - 574 + 1574. Determine q(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 164500094 to the nearest integer?\nAnswer: 12826","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -154*x - 11. Let y be k(-1). Let f = y + -136. Solve -6*d = -f*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m - 1. Let k(g) = 4*g + 8. Let h(x) = -8*a(x) - k(x). Let y be 0*((-2)\/(-2) + -2). Let s(v) = 0 + y + 2*v**2. Calculate s(h(r)).\nAnswer: 32*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 192, 381, 570?\n\"Answer: 189*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110011111 + -11000010?\nAnswer: 11011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/793271 or 1?\nAnswer: 2\/793271","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 102620148?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 4*o**3 + 3*o - 2. Let b be r(1). Suppose 3*j + 2*v - 590 = 0, b*v + 19 = -6. Calculate the greatest common divisor of j and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91393 + 29533 - 16990 = 14*u. What are the prime factors of u?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -q**4\/4 + 4*q**3\/3 + 5*q**2\/2 - q + 1. Let o be v(5). Let g = 23\/5 + -5. Which is greater: g or o?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 7 = 7*g - 2*u, -2*g - 2*u = -8. Suppose 9 = -g*s - 2*n, -s - 2*s + 2*n + 3 = 0. Is 10 a factor of (s + 5)\/((-4)\/(-14))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-60)\/(-315)*63\/14)\/(40\/14)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -85*o**2 + 677*o + 26. Determine a(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 5*t**4 + 15*t**3 - 20*t = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2652 from -16.1.\nAnswer: -15.8348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 128, -4, -0.2, -0.4 in ascending order.\nAnswer: -4, -2\/3, -0.4, -0.2, 128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1178.78807 rounded to the nearest integer?\nAnswer: 1179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 11) to base 15\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*l + 3*l + l)*(2 + 2 - 5)*(-2 - 1 + 0 + (-3 + 6 + 1)*(3 + 3 + 0)) in the form j*l + r and give j.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (sqrt(17) - -1*sqrt(17)) + sqrt(17) - (sqrt(612) + -1)) + 5 - (-2 + (sqrt(272) - -3*-1*sqrt(272))))**2.\nAnswer: 110*sqrt(17) + 546","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 735.515 and -12.\nAnswer: -8826.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19 (base 13) to base 9.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 119 + -831\/7. Suppose 0 = -3*t + z - 936 + 923, 5*t = -4*z + 52. What is the second biggest value in t, m, -1, -14?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h + 25. Let x be c(11). What is the units digit of (-236)\/(-7) - (-4)\/x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17940?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -109 (base 12) to base 6.\nAnswer: -413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1979539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4392 + 24609 = -536*i + 692 - 14779 for i.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 218, 479, 752, 1043, 1358, 1703, 2084, 2507?\nAnswer: 2978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1051637 to the power of 1\/2, to the nearest integer?\nAnswer: 1025","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1021 (base 3) in base 2?\nAnswer: -100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202 - 220002?\nAnswer: -212100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75929?\nAnswer: 7, 10847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -3) + (-7 - -26) + (5 - -1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405)*3 + 5 - sqrt(405) - sqrt(405))*2 + 1 + -2 + sqrt(405) + 2.\nAnswer: 11 + 27*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 12216138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29.3 + -28. Let y = 1.2 - z. Let m = 57 + -111\/2. What is the smallest value in m, -4, y?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence us when two letters picked without replacement from gjusxsy?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4817 + 4943. Calculate the remainder when 239 is divided by s.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/9 in 2, -13.1, -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-418)\/(-22))\/(-19)*136\/32.\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 3. Let p = -20 - -25. Put b, 0.5, p in descending order.\nAnswer: p, 0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of -5*b**4\/12 + 2*b**2. Let l(i) = -i**2 + 6*i**2 + 3*i**2 - 6*i**2. Calculate o(l(y)).\nAnswer: -20*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -4*w - 7. List the prime factors of h(-16).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000256081721 to 6 decimal places.\nAnswer: 0.000256","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29 - 22. Let o be p\/1 + -3 + -2. Let v = 16 + o. Calculate the greatest common factor of 144 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 135, 348, 561, 774, 987?\n\"Answer: 213*h - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2, 0.48, -0.13024?\nAnswer: -0.13024","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2792, -5586, -8380, -11174?\n\"Answer: -2794*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 2. Suppose a = 4*d + 8 - 28. Let z = d - -1. Is z a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-107 - -45 - 3) + 107?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 489*p**2 - 502*p**2 - p + p.\nAnswer: -13*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6 - 24268*y**2 + 856*y**3 - 7*y - 5*y + 24266*y**2 wrt y?\nAnswer: 5136*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28 + 37. Suppose -2*f - u = -5*b, -f - 3*b + 47 = 3*f. Suppose -d = f - 12. Calculate the highest common divisor of d and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*k + 33 = -45*k. Let h = 5 - -4. What is the lowest common multiple of h and k?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 96*l + 6. Let c(f) = 188*f + 13. Determine -4*c(w) + 9*v(w).\nAnswer: 112*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/4 - -5*1. Let w(g) = -4*g + 9. Let a be w(-6). Calculate the highest common divisor of a and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 5*n = 3*n - 10, 12 = 2*j - 4*n. Find the second derivative of 5*o**2 - 57*o**2 - 35*o**j + 93*o - 4*o**2 - 59*o**2 wrt o.\nAnswer: -300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 17 - 11 = -j, 41 = 2*j + c. Suppose 2*d - 4*d = -j. What is the greatest common divisor of d and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 88898*z**4 - 2*z - 5961253 with respect to z.\nAnswer: 355592*z**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -7*(-1)\/(2*(-2)\/4). Let u(q) = q**3 + 16*q**2 + 12*q + 16. Is u(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 less than 3?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 8409?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (10\/15)\/(42\/63)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*((-90)\/12 + 9). Suppose r*m + 26 = 4*b, -4*m = -3*b + 2*b. Let p = 0.2 - 0.3. Sort -1, b, p in decreasing order.\nAnswer: b, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 divided by -10920?\nAnswer: -2\/273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3122\/9, 3\/4, 17, 0.09, 2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 1. Let o(n) = -5*n + 1. Let r(u) = -o(u) + 5*t(u). Suppose 23*v - 145 = -30. Suppose 302 - 317 = v*q. Calculate r(q).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*w + 9*w**2 - 6*w - 31*w**2.\nAnswer: -22*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 3*r**2 - 2*r**2 + 11*r**2 - r**2. Let b(c) = -c. Give a(b(d)).\nAnswer: 11*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*z + 10*z + 54 - 26 - 27 to o*z + n and give o.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.15 - -0.15066. What is i rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 10*p**2 + p + 14. Let z be j(10). Suppose z*f - 196 = 22*f. Let q = -26 + f. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-5)\/5 - 1) + 2. Solve v = 2*b - 2*m + 4, b + 2 = -3*m - 8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3114.8 and -13151.\nAnswer: -10036.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + 8*v - 15. Let x be n(-8). Let s be -2*x*(-12)\/(-9). Suppose -86 - s = -6*d. What is the remainder when d is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7\/35 - 18\/40. Let z = -16064 - -16056. Let r = -0.3 - -0.7. Which is the third smallest value? (a) r (b) z (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 150 and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 16. What is the third smallest value in m, 0.1, -43?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1908, -1490, -7144, -15048, -25196, -37582, -52200, -69044?\n\"Answer: x**3 - 1134*x**2 - 3*x + 3044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 238 and 1400.\nAnswer: 23800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 5170.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + 4*m**2 - 3*m - 7. List the prime factors of x(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 50*c**2*d**3*h**2 + c**2*d*h**2 - 14*c*d**3*h**2 - 2*c*d**3*h - 2*c*d*h wrt c.\nAnswer: 100*d**3*h**2 + 2*d*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52164 divided by 207.\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4*3\/(-4))\/((-24)\/(-3760)) + -7 is divided by 69.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 + 7*t**2 + 8*t + 9. Let r be g(-6). Let o be (-1495)\/30 - 3\/18. Let d be (-5)\/(-30) + o\/12. Put r, 4, d in increasing order.\nAnswer: d, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 PM and 8:24 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1))**(-9\/4))**38 assuming s is positive.\nAnswer: s**(171\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 367 - 233. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(931) + 3 + sqrt(931) + 1) + (4*-2*sqrt(95))\/sqrt(5)*5)**2.\nAnswer: 5952*sqrt(19) + 292720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 3 + 51*r + 125*r - 147*r**2.\nAnswer: -147*r**2 + 176*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 18936271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 12 = 7. Suppose 0 = 5*c + 2*f - 8, -3*c - f = -b + 1. Round c to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mkkk when four letters picked without replacement from kkykkmmmkm.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l + 0*l - 2*l)*(-2*l**2 + 5*l**2 - 2*l**2) - 3 + 3 + 2*l**3 - 308*l**3 + 924*l**3 - 338*l**3.\nAnswer: 283*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 175260 and 115?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sdb when three letters picked without replacement from {b: 2, s: 6, d: 4}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + i + i)*(-406336 + 897*i + 406336).\nAnswer: 1794*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) 1\/6 (c) 0 (d) 0.3 (e) 0.0137\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-16) + 2\/(-8). Suppose -25*a + 51 = -49. What is the closest to a in 2\/3, g, 0.2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 4*a - 6 = -6*a, 5 = 5*g + 5*a for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*n = 18*n + 156. Calculate the smallest common multiple of 290 and n.\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-315)\/36*((-1760)\/(-70) + -24). Let o = 1.1 - 1. Let j = 3.9 + o. What is the nearest to t in -0.1, -1, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 7:00 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -57*g - 136. What is the smallest common multiple of 14 and w(-3)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (55 - 60) + (-99)\/(-21). Which is the fifth smallest value? (a) -0.4 (b) h (c) 2\/17 (d) -0.09 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of 17*o**3\/6 + o**2\/2 - 4*o. What is the tens digit of l(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-1)\/n**(1\/5)*n*(n\/n**(-2\/9)*n)\/n*n*(n*n**(-2)\/n)\/n*n**(-2\/3)\/(n**(2\/7)\/n)*(n**(-1)\/n)**33 assuming n is positive.\nAnswer: n**(-21083\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 8503, -5, -8 in decreasing order.\nAnswer: 8503, -4, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 + -13. Suppose y*t + t - 256 = 0. Let v = 136 - t. Calculate the greatest common factor of v and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 735?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**4\/4 - 654336*m**3 - 856312510463*m**2\/2 - 856310547456*m - 1712619786241\/4.\nAnswer: -(m + 1)**2*(m + 1308671)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/5 and 6634512.94 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of t**4\/3 - 11*t**3\/3 - 3*t**2 - 35*t. List the prime factors of u(11).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-200)\/(-24))\/(2885\/(-2308))?\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + d - 5*t = 24, 3*d - 28 = 5*t. Suppose x + d = 12. What is the greatest common divisor of 88 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -10*h**2 - h - 1. Let y be p(-2). Let q = -19 - y. What is the highest common divisor of q and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 1. Suppose -y*h = -5*o + 11, -4*h - 2 = 5*o + 1. Suppose -3*f + o = 4*j, 3*j + j + 14 = 2*f. Does 2 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113 = -a - 104. Solve 2*u + 15 = a for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 6 + ((-885)\/(-59) - (-2368)\/(-108))?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 9*u**2 + 2*u - 4. Calculate the remainder when g(3) is divided by 30\/(-75) + 308\/70.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - x**2 - x. Let d(s) be the first derivative of -5\/3*s**3 - 2*s**2 - 7\/4*s**4 + 2*s - 4. Let q = 7 - 2. Give q*k(j) - d(j).\nAnswer: 2*j**3 - j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 + x - 1. Suppose 4*q + 122*d = 124*d - 8, 4*q + 18 = -3*d. Let r(s) = -13*s**3 + 3*s**2 - 3*s + 3. Determine q*o(v) - r(v).\nAnswer: 13*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 15614401 (base 9) to base 14\nAnswer: 107219c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21225162.\nAnswer: 2, 3, 7, 107, 4723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1896, 35, 95, 1, -1.\nAnswer: -1, 1, 35, 95, 1896","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54448 = 420*n + 1438*n + 45884 for n.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**3 - 4*f**2 + f + 2. What is l(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 428634?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**2\/3 + 452*o + 92730 = 0. Calculate o.\nAnswer: -165, 843","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 123588 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 862, 861, 872, 901, 954?\n\"Answer: c**3 - 8*c + 869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -51893 (base 10) to base 2.\nAnswer: -1100101010110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -47300*x**2 + 4398903*x - 283. What is w(93)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 8 = 2. Let j be (-8)\/(-16) - (-167)\/w. Suppose 2*x - 466 = -j. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 22\/1917 or -1?\nAnswer: 22\/1917","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/9, 12, -0.5, -6\/11.\nAnswer: -6\/11, -0.5, 1\/9, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27 + 43. Let t = -15.19 + g. What is t rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6985, 27910, 62787, 111616, 174397?\nAnswer: 251130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00063100771 to six decimal places.\nAnswer: 0.000631","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/12, 2, 0.4, 0.1?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dounjlojnldnol. Give prob of sequence luld.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 132317 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}