diff --git "a/data/dm_maths/full_data_1/2384_11255.jsonl" "b/data/dm_maths/full_data_1/2384_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2384_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the hundreds digit of 2337115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 - 8*i**2 + 8*i - 7. Let p(v) = v + 2. Let f be p(5). Let h be d(f). Suppose -z + 12 + 0 = h. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 8 = -3*v - v, -2 = -v - 2*h. Let s(l) = -2*l**2 - l**2 + l + 5*l**v + 0*l - 6. Let m(y) = y. Let t(z) = 5*m(z) - s(z). Factor t(u).\nAnswer: -2*(u - 3)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 2\/3 (b) -349\/7 (c) -2\/9 (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6486926 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -3*z**2. Let r(k) be the first derivative of -2 + 0*k**2 + 0*k + 1\/3*k**3. What is n(r(t))?\nAnswer: -3*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/40*2*1*16\/36?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jajcjbobjcabcvaojo. Give prob of picking 1 a and 2 j.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 107 + -108 - (-4 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.019*0.347.\nAnswer: -0.006593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 1)*(0 + 8 + 1)*(5*q + 3*q - 3*q).\nAnswer: 225*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, i: 1, c: 1, y: 1, r: 1}. What is prob of picking 1 c and 1 i?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + 136362402?\nAnswer: 136362397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 2*t**2 + 2*t. Suppose 12 = -3*c, 4*s + 5*c - 2*c = 32. Let d = s + -9. Let p be (11 - 12) + d*-1. What is q(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 6*s**2 + 50*s - 554. What is the thousands digit of d(14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.1 + -15.1. Let c = -11.89 - k. What is c rounded to 2 dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -541\/358 - -2\/179. Let v be (-1)\/(-2)*(-2)\/4. Which is the third smallest value? (a) d (b) v (c) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 - 43*s - 136. What is i(-4)?\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1013424002 - -10?\nAnswer: 1013424012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = c - 9, -3*c = 2*c - 3*k - 24. Let m(f) = 4*f - 3 - 2*f + c. Let s(g) = -16*g. What is m(s(x))?\nAnswer: -32*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -5. Differentiate 2 + 0*h**w + 1 - 3*h**2 + 5 with respect to h.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.2695625 + 1.2732. What is a rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*m + 4, u - 4*m + 13 = 0. Suppose h = 2*s + 21, 2*s = -u*s - 3*h - 58. Let x be (-2)\/s + 20\/11. Solve 5*q = -5*l + 2*l + x, l = -3*q - 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 14 (b) -5 (c) -9 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 9*m + 1. Give l(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*s + 65 = -18*s. Suppose 0 = -2*k + w - 6*w - 7, -5*k + s*w + 70 = 0. Suppose 9057 + 6828 = k*j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 AM and 7:15 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = 2*x + 3, -3*p - 2*p + 3*x + 15 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -462 and 46191 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 2 = -6*x, 9*k = 4*x + 11*k + 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of 31*r**5\/10 + 2*r**3\/3 - 8*r**2 - 66*r. Find the second derivative of h(j) wrt j.\nAnswer: 372*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 4) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29 + -30. Let n = 1 + b. Factor -21\/2*w**3 - 3\/2*w + n + 15\/2*w**2 + 9\/2*w**4.\nAnswer: 3*w*(w - 1)**2*(3*w - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**0*g)**(-1\/6)\/(g**(2\/11)\/g)**(12\/11) assuming g is positive.\nAnswer: g**(527\/726)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o. Let w = 1 + 4. What are the prime factors of p(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**3 - 26*t**2 - 3216*t - 34570. Give n(-24).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6419\/31 + 207. What is the nearest to -1\/3 in -0.1, h, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/10)\/(12\/360).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/234*26)\/((-15)\/6).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -k**3\/5 + 2403*k**2\/5 - 21790*k + 1244496\/5 = 0.\nAnswer: 22, 24, 2357","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/54048 and -67\/24?\nAnswer: 54048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5 + 0 + 3 + 0. Suppose 0 = 2*o + o - 3. Let x be (-2 + 3 - o)\/p. What is the third biggest value in -1\/3, x, 5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 9*i - 890 = 0. Suppose -3*a - i = -4*f, -3*a + 62 = 2*f - a. Calculate the greatest common factor of f and 754.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -62\/45 - -16\/9. Let u = 8.302 + -8.302. Let d be 2\/20*(-8)\/(-14). Which is the nearest to u? (a) 0.3 (b) d (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8091809185?\nAnswer: 5, 53, 30535129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 5*w. Let d(y) be the third derivative of y**8\/20160 + 7*y**5\/60 - y**2. Let j(a) be the third derivative of d(a). What is j(i(q))?\nAnswer: 25*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6698 and 1008066?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 77*m - 55*m + 88. What is the biggest value in -106, 0.3, m?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a litre in millilitres?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12228 + -12187. Solve d*c - 37*c + 20 = -2*f, 2*f - 5*c - 25 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -404 = -2*k + 202. What is the remainder when k is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 12:31 PM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a factor of 646771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6989? (a) 0 (b) -10\/19 (c) 5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -56*i - 37*i + 762 + 1098 for i.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millimeter in micrometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4555*v**3 - 15*v + 4*v + 11*v.\nAnswer: -4555*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -220 divided by 71?\nAnswer: -220\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71 + 41 = -3*u + 4*t - 37 - 52, 2*t = 3*u + 7*u + 106 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**2 - n**2 - 2 + 4*n**2 + n**2 + n**2 + 0*n**2 + (-2*n + 1 - 1)*(18 - 18 + 6*n) - n**2 + 0*n**2 + 3*n**2.\nAnswer: -5*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 300 - 299.791. Let j = 0.209 - v. Which is the smallest value? (a) -5 (b) j (c) 3\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 9 + (-2 - (1 - -1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/3140 and (-1470)\/945 + 1199\/360.\nAnswer: 6280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.07563 and -0.9.\nAnswer: 0.068067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -15*i - 86. What is the remainder when 56 is divided by h(-7)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -9*h - 6. Let n(i) = -21*i - 14. Let u(p) = -5*k(p) + 2*n(p). Let c(o) = -o. Determine 2*c(w) + u(w).\nAnswer: w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of 0*i - 1\/2*i**4 + 0*i**2 + 2 + 1\/3*i**3. Find the third derivative of q(v) wrt v.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 + -1308?\nAnswer: -1302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -4*w + 773, 10*w - o - 990 = 5*w. What is the remainder when w is divided by 100?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/30 and 27\/404?\nAnswer: 6060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 203112333?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6631 + -6631. Solve -3*g - 5*b + 0*b + 23 = y, -b + 9 = 5*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 282 is divided by 63?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -55208 + 430?\nAnswer: -54998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 2*w**2 + 3*w + 1. Let a be g(-2). Let m = 20 - 16. Find the third derivative of m*f**2 + 0*f**2 - a + 11 - 2*f**6 wrt f.\nAnswer: -240*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4396143)\/(-351858) - (-1)\/169?\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 900083 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25273.83 - -25278. Sort 1, p, 2\/7, -1, 5 in descending order.\nAnswer: 5, p, 1, 2\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3 - 2\/3*g**2 + 0*g.\nAnswer: -2*(g - 1)*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6110, -6477, -7088, -7943, -9042, -10385?\n\"Answer: -122*j**2 - j - 5987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - 8*c**2 - 2*c - 1. Let i = -18 - -26. Suppose 0 = -x + 3*x - i. Let h(n) = -n**3 + 7*n**2 + n + 1. Let q(s) = x*h(s) + 3*p(s). Calculate q(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 23*s**2 - s + 17. Give r(23).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 192*t**2 + 2877*t - 47. Determine c(-15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((o*o**8\/o*o)\/o)\/o)\/o)\/o*o**(-2\/11))**(-4\/9)\/((o*o**1)\/o**(-3))**(-6\/5) assuming o is positive.\nAnswer: o**(382\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 - 6*n + 24. Let y be w(-8). Let i be ((-54)\/y)\/(9\/48). Let h = -18 - i. Is h a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 632\/(-44) - 414\/253?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/9)\/((-7)\/(-63))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n - 5*k - 8 = 4*n, 11*n = -22*n + 2*n + 3*k + 62 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kukkkuouikko.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5670 is divided by 2820?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 3*x + 134. What is the remainder when x is divided by (-56)\/(-6)*9\/6?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285819 is divided by 1196.\nAnswer: 1171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, 0.4418, -0.1, -5, 5\/4, 0 in descending order.\nAnswer: 5\/4, 3\/5, 0.4418, 0, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 157718418191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4142 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/203173 or 1?\nAnswer: -2\/203173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 4*p**3\/3 - 14024*p**2 + 531468*p - 15133120\/3 = 0.\nAnswer: 19, 10480","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 2*t + 12 = 0, 2*t = z + 5*t - 3. Suppose 6*x = z*x. Suppose w = 3*f - 42, f + w - 6*w = x. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 153 - 83. Is 14 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*p + 63*p + 1716 = -65*p for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*6\/36)\/(20\/(-45)*(-9)\/(-648))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 132860*t**3 + 35038*t**2 wrt t.\nAnswer: 797160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 829796, 1659636, 2489476, 3319316, 4149156?\nAnswer: 4978996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 313413653*n*t**2 - 1452*n*t + 6*n - 72*t - 29 wrt t?\nAnswer: 626827306*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 4*u - 6. Let r(f) be the first derivative of f**2\/2 - f + 296. Give -3*d(w) + 16*r(w).\nAnswer: 4*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -84896 by 224.\nAnswer: -379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 - 77*q + 1214. What is r(55)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6757446 and 53225.\nAnswer: 2129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/36876 and 193\/645330?\nAnswer: 1290660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 2)*(m - 3 + 3)*(127 + 31*m - 127).\nAnswer: 62*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5\/(-1))\/(-5)*11. What is the highest common factor of d and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -513339217 + 513339254.7748229. Let q = s + -3.3749819. Let k = -34.4 + q. Round k to five decimal places.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a decade in months?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*h + 2*h - 3*y, 0 = -5*h + y + 11. Let t be h - 0 - (7 - 7). What is the second derivative of -2*l**4 - l**t + 4*l**4 - 5*l + l**2 wrt l?\nAnswer: 24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of -s**4\/8 - s**3\/6 + 17*s**2. Let b be v(-2). What is x in -3*x**b + 23 + 33*x - 3*x**4 - 23 + 42*x**2 + 9 + 18*x**3 = 0?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 5:16 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n + 2. Let b be r(0). Let d(c) = 82*c + 446. Let u be d(-2). Suppose -5*g = 2*m - u, 0 = -b*m + 4*g + 88 + 158. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 181\/7320 + -1\/61. Let b(y) be the third derivative of -1\/10*y**5 + 0*y + 6*y**2 - 3\/8*y**4 + 7\/6*y**3 + g*y**6 + 0. Calculate b(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 20*h**2 - 36*h + 34. Let x(c) = 9*c**3 - 183*c**2 + 323*c - 309. Let f(r) = 19*b(r) + 2*x(r). Calculate f(11).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gxggexggxgjgtjxxg. What is prob of sequence ggte?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69717204?\nAnswer: 2, 3, 17, 6701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 919 or 920?\nAnswer: 919","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (7 - 1)*(-1)\/(-16)*(-8)\/(-2). Let i(g) be the first derivative of g + 3 + 1\/3*g**3 - u*g**2. Calculate i(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3 + 2877*y**2 - 694056*y + 2056356.\nAnswer: -3*(y - 478)**2*(y - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*q**2 + 64*q**3 + 67*q**3 - 11*q**2.\nAnswer: 131*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-10))\/(70\/(-525))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*f**2 - 2*f**2 - f**2 + 0 - 5 wrt f?\nAnswer: -14*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 653 = -125. Let d = z - -144. Suppose -30*x + 34*x = 92. What is the remainder when x is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/5 + 2181924*h\/5 - 595099042722\/5.\nAnswer: -2*(h - 545481)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 190, 178, 144, 76, -38, -210?\nAnswer: -452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 47150\/59 not equal to 800?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, e: 14}. Give prob of sequence eewe.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f + 19. Let m be r(7). Suppose 0 = m*n - 9 - 1. Solve p + 6 = -n*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 241300 to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5280)\/18)\/(-40)*3.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*d**3 - 50*d**3 + 43*d**3 + 6*d - 2*d**2 + 9*d**4 as g*d**3 + c*d**2 + s*d**4 + u + f*d and give s.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + q**2 + 1. Let f(u) = 5*u**3 + 6*u**2 + 2*u + 9. What is f(a) - 6*l(a)?\nAnswer: -a**3 + 2*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49681*l - 52767*l + 0*l**2 + 0*l**2 + 2*l**3.\nAnswer: 2*l**3 - 3086*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 267*l - 777*l**3 - 267*l + 780*l**3.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**25)\/(((o\/(o\/o**19*o*o))\/o*o)\/o) assuming o is positive.\nAnswer: o**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 13*z**2 + 12*z + 3. Let h be (-172)\/(-14) + 2\/(-7). Let o be f(h). Is (-4 + o)*(0 + -24) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q + 124 = -14*g + 140, -5*q - 4*g = 9 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 224.718l?\nAnswer: 224718","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10513328.\nAnswer: 2, 7, 37, 43, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 801*y + 245181. Give u(-307).\nAnswer: -726","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u. What is y(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1433472989 times -0.2\nAnswer: 286694597.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 4569?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.9, 2\/7, -169, 1\/6.\nAnswer: -169, -5, 1\/6, 2\/7, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 123, 153, 183, 213, 243?\nAnswer: 273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, z: 2, e: 3, u: 1, y: 9, h: 3}. Give prob of picking 1 l and 1 z.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -32*r + 966 - 1510 for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6789120 - -14682120. Round d to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -131230332 (base 4) to base 6\nAnswer: -2335130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-8))\/k*k**(-3\/5)*k)\/(((k**8*k)\/k*k)\/k)**(-37\/5) assuming k is positive.\nAnswer: k**(338\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -695.\nAnswer: 208.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1416 + 59*b + 1416)*(0*b - 2*b + 0*b) - 5 + 2*b**2 + 5 - 4*b + 12*b - 2*b**2 - 9*b)*(2 - 3 + 2).\nAnswer: -118*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((2*sqrt(104) + sqrt(104))*-4)\/(sqrt(8) - (sqrt(648)*-2 - sqrt(648) - sqrt(648)))*5)**2 + 0.\nAnswer: -240*sqrt(13)\/37 + 52276\/1369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/18)\/((-12 - -7) + 3)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14500213.\nAnswer: 7, 13, 79, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 15, 2, -18 in decreasing order.\nAnswer: 15, 4, 2, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -3*x - 196, 3*o - 112 = o + 5*x. Let n = o - -6. Suppose q - 93 = -3*j, 5*q - 277 = j + 108. Calculate the highest common factor of q and n.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 815 - 667. What is the greatest common divisor of 4 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1190)\/100 - -11) + 132\/(-440) - (-361)\/5\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 1512 = 4*o. Let y be (-78)\/o + (-1)\/(-2). Is y greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5118376, 5118385, 5118394, 5118403, 5118412, 5118421?\nAnswer: 5118430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32659 + 113344 = -45*h. What is the tens digit of 12\/(-30)*(-2 + h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 17\/2 of a century?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/5 and -3\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - 1006?\nAnswer: -1003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 - 98*k - 1546. What is s(-78)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -129, -111, -93, -75, -57?\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -11*j - 150*j**2 + 151*j**2 - 4*j - 4 - 12. Determine c(11).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -19085 and -8?\nAnswer: 152680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k - 5*k - k + 151.\nAnswer: -2*k + 151","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35241313 + 37*t - 35241313.\nAnswer: 37*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**13)**(-29) assuming a is positive.\nAnswer: a**(-435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 176 and 528?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5481, 5483, 5485, 5487, 5489, 5491?\nAnswer: 5493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 11:58 AM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11808 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5*3*94\/282\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i + 11. Let d be x(-9). Suppose 1 = -4*f - v - 0, -3*f - d = 2*v. Let k = 9 - 14. Which is the nearest to f? (a) k (b) -1\/7 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4 + (sqrt(68)*-3)**2).\nAnswer: 3080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g + 2*g - 3*g)*(-3*g**2 + 2 - 2) + 3*g**3 - 5*g**3 + 4*g**3 + 0*g**2 + 0*g**2 + 12*g**3.\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43328, -86659, -129992, -173327, -216664, -260003?\nAnswer: -303344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y**(-14)*y)\/y*y)\/(y\/(y*y**(2\/51))) assuming y is positive.\nAnswer: y**(-610\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (2954 + 16*l - 2954)*(-1 - 2 + 6) as j*l + z and give j.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 127477 and 1428.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -52\/11 and -99\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -3*g + 162. Let s = g - 24. What are the prime factors of s?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/402 and 41\/1943.\nAnswer: 11658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -s - g, 8 = 3*s - 2*g. Solve -c + s*l + 5 = 0, -c + 2*l - 1 = 2*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 263 divide 880796994?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (630\/50)\/((-1)\/(20\/(-136))) and 111\/20?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1962, 2522, 3456, 4764, 6446?\n\"Answer: 187*c**2 - c + 1776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cy when two letters picked without replacement from {y: 2, c: 7, o: 2}?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r*r**(1\/10))*r)\/(r**(-4)*r*r)*r**(2\/3)*r*(r\/(r*r**(3\/2)*r))\/r*r)\/((r**(-1))**4)**(-7) assuming r is positive.\nAnswer: r**(-404\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 434884710 - 434886967.99043. Let s = -2258 - x. What is s rounded to four dps?\nAnswer: -0.0096","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -270 divided by 45.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -435 = -2*t + 365. What is t rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 PM and 9:12 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 3*t - 9. Let u be c(9). Let b be 10\/(-4)*u\/(-5). What is the third derivative of 0*d**3 + 9*d - b*d - d**2 + 2*d**3 wrt d?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 586 and 969872?\nAnswer: 284172496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 577 is divided by 139.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 80868, 80846, 80810, 80754, 80672, 80558?\n\"Answer: -g**3 - g**2 - 12*g + 80882","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 609134489*l - 239096945 wrt l?\nAnswer: 609134489","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 979 - 439. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of y**6\/420 + 59*y**5\/210 + 34*y**4\/3 + 112*y**3 + 2*y**2 + 162. Let s(i) = 0. What is i?\nAnswer: -28, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -f**6\/5 - f**5\/5 + f**4\/6 + 10*f. What is o in j(o) = 0?\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.2, -0.08, -258, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 v when two letters picked without replacement from bnnbnbbvbbbbbbbb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 2 = -b. Is b a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 + 1. What are the prime factors of l(-5)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 - -15. Solve 3 = -q*p + 8 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 11:23 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2748610 divided by -3\nAnswer: 2748610\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -0.82?\nAnswer: 2.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of 0*f**2 - 4\/21*f**3 + 0*f - 1\/14*f**4 - 4. Factor p(w).\nAnswer: -2*w**2*(w + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/8 in -1\/4, -5, -3\/4, -4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1740 - -1738. Which is the closest to -2? (a) 7 (b) q (c) 33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - -14 - -36) + -24?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -m**2*p**2*w**2 - 2*m**2*p*w**2 - 2*m**2*w + 689759*m*p**2 + m*p + m*w - p*w**2 + 15355*p*w wrt p?\nAnswer: -2*m**2*w**2 + 1379518*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(8\/7))\/a*a**(3\/2)*a*a\/a**(-8)*a*a*a**7*a assuming a is positive.\nAnswer: a**(317\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -2*i - 30, -2*f = -f + 4*i - 12. Find the common denominator of 3\/((-6)\/f) + (-1431)\/162 and -33\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-139 - -163) + (-12 - -4 - 0).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4125 and 5610.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3870975.3 rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -82.74428 and 51?\nAnswer: -4219.95828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.24*0.05999.\nAnswer: 0.0743876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1092569 is divided by 158?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 3*y**2 - 2 + 4*y**2 - 5*y**2 + 6*y**3 to the form q*y**2 + n*y**3 + x + v*y and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -h**4\/12 + 7*h**3\/6 - 3*h**2\/2 + h + 3. Let d(r) be the first derivative of x(r). Let f = 5 - 0. Give d(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - -5 - -21 - -10.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 71208\/5 + -14240. Find x, given that -v*x**2 - 36\/5*x - 8 = 0.\nAnswer: -5\/2, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 597 + -597.4. Which is the biggest value? (a) -2\/3 (b) -0.02 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 - 6*h - 10. Let t = 60 - 99. Let f = t - -33. Does 10 divide i(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i. Let s(d) = 1522858*d. Determine s(p(l)).\nAnswer: 3045716*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1.1, -1, -14.3?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.68616 and -0.5?\nAnswer: 1.18616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggeegg. What is prob of sequence gee?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -0.4, -1.88, -0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -4*q - 15. What is k(-8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -109156.9533 * 0.3\nAnswer: -32747.08599","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of 38*u**3\/3 + 151. Let r(q) = -2*q**2. Determine z(r(m)).\nAnswer: 152*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -149*o**2 + 261*o - 2. Let v(i) = 90*i**2. Determine k(v(s)).\nAnswer: -1206900*s**4 + 23490*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -0*r + 5*r - 51, -2*r = o - 18. Differentiate -r*f - 5*f - 50 - 14*f with respect to f.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134 + 129 - 432 + 121 + f**2 + 120 - 72.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -2, 0.1, 347?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26 + 12. Let i = 98 - h. Calculate the greatest common factor of i and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/17, 3, 0.4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -k**2\/4 + 5791819*k\/2 - 33545167328761\/4 = 0.\nAnswer: 5791819","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 30093743 + -231545\nAnswer: 29862198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 21052 = -2*w, 2*a - 2*w + 3*w = 10518. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y - 1. Let h be o(2). What is the tens digit of (40\/(-32)*h)\/((-3)\/20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 22 - 18 = 0. Let c be 3030\/24 + 2\/i. Calculate the greatest common divisor of 14 and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from mmmmrmrr.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 1\/((-35)\/(-60))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 11) to base 3.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {y: 2, b: 3, g: 2, e: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 433134 (base 8) in base 10?\nAnswer: 144988","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is 5301741561 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51\/2 of a litre?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 350*o**2*q**3 - 121*o**2*q**2 + 2*o**2*q - 87*o**2 + 909*o*q**6 + 4*o*q**2 wrt q?\nAnswer: 2100*o**2 + 109080*o*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79 - 69 + 283 - 63 - c - 72.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 32588917 plus -62?\nAnswer: 32588855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 + c + 12. Determine v(-4).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 14*j - 27. Let s be f(3). Let o be s\/6 + (-401)\/160. Which is smaller: -1 or o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 1 - (105 + -113 - (25 - 0))\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 255 and 390?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213\/(-71) + 0 + 211 is divided by 27.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 45576195*h**4*y**2 - h**2*y**2 - 1140*h**2*y - 2*h**2 - 71*h*y - 19*y**2 wrt h?\nAnswer: 1093828680*h*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - u + (u - 2 + 2)*(-3 + 3 - 1))*(-12*u - 4*u**2 + 12*u).\nAnswer: 8*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 5*s - s - 3*s. Let u = 3 + 0. What is x(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3755*s + 2122*s + 925*s.\nAnswer: 6802*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.4 + 6. Let l = 212\/5 - 42. Let s = -4297 + 12886\/3. What is the biggest value in s, y, l, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*m + 1 + 0 + 39*m.\nAnswer: 60*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1*496715\nAnswer: -496715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 127 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + i + i + 2 = 0, -m - i = 0. Suppose 2*q = -m*q + 312. Let u = q - 43. What are the prime factors of u?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 2*d - 7835, d + 23508 = 3*o - 4*d. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1358.4 and 149936660.\nAnswer: 149935301.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -7, -1 in ascending order.\nAnswer: -7, -4, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 15) in base 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -21039415 divided by -4207883?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 37772992 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004872855188 rounded to five dps?\nAnswer: 0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 642, 747, 924, 1179, 1518?\nAnswer: 1947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 476 = -q. Let j(r) = 2*r**2 - 55*r + 429. Let d be j(27). Let z = d + q. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 6*x + 5. Let s be c(-2). Let j(z) = z + 7. Let p be j(s). Let d = p - -4. Solve 3*l - 2 = d, -2*l = 4*h + 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.7 from 0.11142.\nAnswer: -0.58858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -308.7+0.08457544858\nAnswer: -308.61542455142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19262336?\nAnswer: 2, 61, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 277 a factor of 115509?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1931, 14848, 49927, 118250, 230899, 398956?\n\"Answer: 1847*y**3 - y**2 - 9*y + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -159707 + 225128. Suppose 0 = -5*h + 20219 + w. Let g = h + -9228. What is g rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/7 (b) 0.05 (c) -2\/11 (d) -0.044 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -776, -535, -296, -59, 176, 409?\nAnswer: 640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nd when two letters picked without replacement from {d: 5, n: 5, k: 1, v: 1, h: 2, z: 5}.\nAnswer: 25\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 172773626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 83, 92, 99, 104?\n\"Answer: -s**2 + 12*s + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*o**6 - 19*o**4 + 70*o**3 - 577*o**2 + 538*o?\nAnswer: -840*o**3 - 456*o + 420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-4*(1 + sqrt(833)))**2 + 0.\nAnswer: 224*sqrt(17) + 13348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10210 to the power of 1\/2, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -13321030?\nAnswer: 13321022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 870863*y + 79 = 870856*y, -16*z - 3*y - 214 = 0 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -309000 rounded to the nearest 10000?\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 2*t - 3 + 11, 5*d = -3*t - 12. Let n be (1 - 3)*(-1 + d). Solve -n*p + 3*p + 2 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + 7*n. Let h be x(-9). Let g be -1 + (88\/h)\/4. Let y = 0.3 + -0.3. Which is the third smallest value? (a) 3 (b) g (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 0*k - 20 = 0. Suppose -4*t = -k*f + 37, -12 = 6*t - 2*t. Let s(w) = w**3 - 6*w**2 + 7*w. What is the units digit of s(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -11*w**3 - 4*w**2 - 2*w + 6. Let i be q(-5). Let t be ((-6)\/(-21))\/(8\/(-36198)). Let h = t + i. What is the common denominator of h and 79\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*h + z, 0 = -3*h + 2*h + 3*z + 7. Suppose 8 = h*v - 0*v. Is v + (10 - -2) - 2 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 238*t + 342. Let n(k) = -38*k - 57. Determine -4*a(w) - 25*n(w).\nAnswer: -2*w + 57","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2. Let z(d) = -143*d - 9. Let m(i) = -35*i - 2. Let u(t) = -18*m(t) + 4*z(t). Give y(u(f)).\nAnswer: -3364*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -781683, -781686, -781693, -781704, -781719?\nAnswer: -781738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**5 - l**4 - l**3 + l**2 + 3*l. Let m(k) = -8*k**5 - 30*k**4 - 14*k**3 + 190*k**2 - 6*k. Let a(n) = -2*d(n) - m(n). Factor a(s).\nAnswer: 4*s**2*(s - 2)*(s + 4)*(s + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**2 - 8*r + 8. Suppose 3*k - 26 = -4*q, -2*k = -0*k + 2*q - 16. List the prime factors of b(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 12683053\nAnswer: 38049159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/14 of a week?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 2*r, 5*r - 64 = -2*u + 13*r - 4*r for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -2478 (c) 1\/6 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-3 + sqrt(272) + 0)**2 + -4*sqrt(272)*-4).\nAnswer: -1124 - 160*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x + 2. Let l be s(-2). Suppose 0 = t + l*u - 3*u - 2, 0 = -5*u. Suppose -3*v + 196 = -5*w, 2*w + 0*w = t*v - 132. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d - 5*d - 25 = g, -40*g - 80*g + d = -119*g + 23 for g.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = -5*h - 45, -5*o + 9*h - 37 = 12*h for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 46351*m - 525. Let f be g(-25). What is f rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78bbe (base 15) to base 3.\nAnswer: 201111210022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -10*m**3 + 2*m**2 - 3*m + 5. Let j be y(-3). Let i = j - 150. List the prime factors of i.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 + 176*w + 18171. Calculate x(-73).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -10.89.\nAnswer: 43.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*p**4 - 5 + 3 + p - 14*p**4 - p**3 + 2*p**2 + 4*p**4 to the form l*p**2 + g + x*p**4 + k*p + t*p**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-711)\/(-6) + 1\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -59522 + 2*s**2 + 59413 - s**2 in the form w*s + u*s**2 + q and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19 - 0) + 31 + -31?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5721.13, 2\/15, 4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z - 16. Let u be t(-22). Let d(j) = -j**2 + 1. Let b(y) = 2*y**3 - 5*y**2 + 6. Calculate u*d(a) - b(a).\nAnswer: -2*a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 75 and 95880?\nAnswer: 479400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 258629206 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.57 + 0.83. Let l = -0.06 + p. Let f = 0.8 + l. Are f and 3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4\/9, 202, 2\/15, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4083225 + 40*g + 4083225.\nAnswer: 40*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - 11. Suppose -z = -2*m + 2*l, -4*m + 1 = -l - 7. Differentiate -m - 9 - 4*i + 4*i - 12*i wrt i.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -512, 4, -22 in increasing order.\nAnswer: -512, -22, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**3 - h**3 + 0*h**3 + (-7*h + 14*h + 3*h)*(-2*h + 2*h + h**2).\nAnswer: 9*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -62351\nAnswer: 62351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of -9\/8*s**2 + 3 + s**3 - 5\/16*s**4 + 1\/2*s. Determine c, given that x(c) = 0.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 994?\nAnswer: 2, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -842274, -842160, -842046, -841932?\nAnswer: -841818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.00422 - 5.00422. Sort -187, 3, 0.1, d in descending order.\nAnswer: 3, 0.1, d, -187","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10\/1319 or 1?\nAnswer: 10\/1319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 + 8. Let u(m) = 6*m. Calculate f(u(b)).\nAnswer: -36*b**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-55)\/20 - -2)*8\/6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (150\/45)\/(((-140)\/(-24))\/(-7))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nxdsksksnnds. What is prob of sequence nskx?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - ((5 - 1) + (-3 - 2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -432*h**2 + h + 5. Let g(o) = -5*o. Determine v(g(k)).\nAnswer: -10800*k**2 - 5*k + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -568*v**3 + 2*v**2 + 5*v + 4. Let i be d(-1). Suppose -14 = 3*r - i. Suppose -18*w + r = -13*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(228))\/sqrt(12) + -2.\nAnswer: -2*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/105)\/((-3)\/((-27)\/(-6)))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1058043167 to the power of 1\/6, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 3*p - p + (4 + 2 - 4)*(0*p - p - 2*p))*(-4*p + p + 4*p)*(-2 - 1 + 1).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j**3 - j**2 - 2*j + 2. Let d be l(1). Find the first derivative of 11*z**2 + 4 + 5*z**d - 6*z**2 wrt z.\nAnswer: 20*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = 725 - 715, 5*a + 3*s - 1 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/38302 and 43\/1455476?\nAnswer: 1455476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = 3*a - 7 + 15, 2*c = -3*a - 11 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12\/35 - -34\/105. Let t = 47\/2 - 23. Which is the nearest to -3? (a) k (b) -2\/7 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x - 1. Give n(9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 482.06929 to the nearest 10.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -10.28 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) 12\/11 (b) -11 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of 1\/6*p**3 + 0 + 81*p + p**2. What is d(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mzme when four letters picked without replacement from zmezzzem?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -297720 greater than or equal to -297720?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c - 9. Let w be j(9). Suppose w*f = f. Let v = 4 + -1. Solve 5*q - 20 = f, -4*t + v*q - 3 = 1 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 55.7 + -55.6999763. Round d to six decimal places.\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of u**4\/28 - 5*u**3\/14 - 9*u**2\/7 - 77*u. Let w(d) = 0. Calculate d.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-7*(45\/(-18))\/((-210)\/(-216))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 2*j - 18, 3*u = 8*u - 5*j - 25. Let y(n) = -7*n - 1. Let l(b) = 8*b + 1. Give u*y(i) + 6*l(i).\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*g + 11658 = -63*g. Calculate the lowest common multiple of g and 268.\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11117 times -23?\nAnswer: -255691","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(6\/11)*h\/(h*h**(-3)*h)*(h\/(h\/(h\/h**(1\/3))))**1)**(-38))**(-43) assuming h is positive.\nAnswer: h**(173204\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 562481, 1124957, 1687433?\n\"Answer: 562476*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 36683.19mg?\nAnswer: 36683190000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 622 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*y**3 + 3*y**3 - y**3)*(17*y + 16*y - 10*y) as b*y**2 + l*y**4 + p*y + s + g*y**3 and give l.\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -3*q**2 - 4. Let v(z) = -3*z**2 - 3. Suppose 46 - 31 = -5*c. What is c*g(o) + 4*v(o)?\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.3 + 16.3. Let x = -16.3 + c. Sort x, -5, -6 in ascending order.\nAnswer: -6, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -87, -194, -375, -630, -959, -1362, -1839?\nAnswer: -2390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (22\/99 - (-16)\/9) + -2. Suppose r - 20 = -5*l. Suppose 0 = l*h + 20, -5*s + 0*h - 3*h + 35 = 0. Is s a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -675*l = -719*l + 1144 for l.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*l**2 + 205*l**2 + 101*l**2.\nAnswer: 375*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-12\/13)\/(((o\/(o\/o**16*o))\/o)\/o))**(-23))**(3\/28) assuming o is positive.\nAnswer: o**(12489\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 14*s**2 + 14*s - 57. Let l be w(-7). Let d be l\/14 + (-44 - -36). Solve -d*n**2 + 8\/7*n - 68\/7*n**3 + 8\/7 - 30\/7*n**4 = 0 for n.\nAnswer: -1, -2\/3, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 169 - 374. Let f = -104 - t. Suppose -q + f = -3*i, 3*q + 2*i - 292 + 0 = 0. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20314 + 84473 = -773*v for v.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (976\/80 - 14)\/(-2 + 18\/10). Solve -2*d - 5*o = 6, -12 = l*d - 10*d + 5*o for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.5, 22, 39, 904, 0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -57968910 rounded to the nearest 1000000?\nAnswer: -58000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 925\/502273?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c + 1202 - 1190 = 0. What is the second biggest value in -4, 4, c, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k**2 - 2*k + 11. Suppose 4*d = 2*d - 2. What is the least common multiple of 1 - -1 - (0 - d) and v(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 112222.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 35 = -5*y, 17*y - 55 = -97*a + 98*a for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 35, -2, 9, 1\/241, -2\/5, 4?\nAnswer: 1\/241","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0009908161 rounded to 6 decimal places?\nAnswer: 0.000991","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 - -23.7. What is the closest to -3 in y, -2, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*c**2 + 63661 + 8*c**2 - 20*c**2.\nAnswer: c**2 + 63661","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 o when two letters picked without replacement from owwwozrwraworqz.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {l: 2, g: 3, w: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 135279?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 33*p**2 + p. Let o be i(1). Let n = o - 14. What is the greatest common divisor of 20 and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.2732638 days?\nAnswer: 23609.99232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 303657?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/7 in -2\/715, 1, 2?\nAnswer: -2\/715","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + 270?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -w**4\/4 + 3*w**3\/4 - w**2\/2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31*i**4 - 6673*i**3 + 2878040*i + 1 wrt i.\nAnswer: -372*i**2 - 40038*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2*s = 6, -4*s + 68 = 5*m + 20. Calculate the lowest common multiple of 10 and m.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6 + 12\/(11 - 5). Let t = -173 - -174.1. Which is bigger: o or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 126705149 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -3\/18870157?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (7 - 9)*(-3)\/2. Suppose -n = -2*d + 125, -91 = -z*d - 5*n + 64. Is 12 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + 727*s - 61609. What is t(98)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12\/42)\/(84\/(-98)). Let b = 0.37 + -0.07. Let g = 5.3 - b. Sort v, g, 4, 0.03 in increasing order.\nAnswer: v, 0.03, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 + -745?\nAnswer: -738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f + 16. Let y(k) = -k - 11. Calculate -5*w(q) - 8*y(q).\nAnswer: -2*q + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b + 1 - 2*b**2 + 9*b**2 + 0. Let z(s) = s**3 - 27*s**2 + s - 26. Let c be z(27). Let d be p(c). Calculate the highest common factor of d and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1765 is divided by 698?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 294509*i - 14623 = 294021*i + 21489 for i.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + i = -112, 0 = s + 2*i + 3*i - 49. Let u = -20 + s. What is the lowest common multiple of 5 and u?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(13\/182*4\/(-3)*-9)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 520952?\nAnswer: 2, 65119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 3*g**2 - 1. Let l be s(1). Let n = l + -2. Let t(h) = -h + 16 - 12 - 7 + 2*h. What is t(n)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66771.72 milliseconds in hours?\nAnswer: 0.0185477","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11645*p**3 + 3*p**2 + 3*p**2 - 6*p**2 - 11632*p**3.\nAnswer: 13*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192*z - 18*z + 6930 = 0. Suppose -3*i + 3 = 0, 0 = -2*j - i + 48 + 121. Let v = j - z. Is v a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(5))**2*-1 + -3*(sqrt(20)\/sqrt(4) - sqrt(5)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/1142 and -79\/8.\nAnswer: 4568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -358*z**2 + 12 + 358*z**2 - 9*z**3 wrt z?\nAnswer: -27*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -57492.9 - -54757. Let o = n + 2853. What is o rounded to the nearest 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -316 (base 8) in base 9?\nAnswer: -248","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4311.93 + 588443.\nAnswer: 584131.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-14) + 4\/14. Let u be -9 + (1\/(-9) - 15478\/(-1278)). Solve -u*y + 3 = -a*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -2*d - 17. Let j = d + -41\/4. What is the biggest value in j, 4, 0, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*u + 96*u - 2526952 + 2527312 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -48*q**3 - 18*q**2 - 10*q + 8. Let r(u) = -16*u**3 - 6*u**2 - 4*u + 3. Calculate -8*r(k) + 3*v(k).\nAnswer: -16*k**3 - 6*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of -n**5\/30 - n**4\/2 - 3*n**3 + 16*n**2 - 18*n. Let q(v) be the first derivative of w(v). Factor q(j).\nAnswer: -2*(j + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 2) + 0 - (4 - 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 703*l + t = 700*l + 51, -3*t = l - 1. What is the highest common divisor of 21869 and l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -97, -9762, 1 in descending order.\nAnswer: 1, -1, -97, -9762","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37\/(-6) + -6*(-9)\/324.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61113?\nAnswer: 3, 13, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in -0.4, -0.06, -3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11711171719 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**2 + 2*x**2 - 4*x**2)*(-5*x**2 + 2*x**2 + x**2) + (-1 - 2*x**2 + 1)*(1 - 1 + x**2) + x - 2*x**4 - x.\nAnswer: -6*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 246.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**2 - 4. Let s(g) = g**2 - 3. Let f(r) = 4*s(r) - 3*v(r). Let c = -17 + 19. Let z(t) = 59 - 59 - 4*t**c. Calculate z(f(p)).\nAnswer: -16*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 10*h - 1. Let u be -6*(4 + 9\/(-2)). What are the prime factors of z(u)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a factor of 12245185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 96 = 2*q + 3*z, 184 = 4*q - 4*z. Let c = q - 125\/3. What is the smallest value in -4, 0, c?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -371 - -193. Let r = 254 + t. List the prime factors of r.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54 and 234.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 920847 (base 12) in base 2?\nAnswer: 1000101101001010110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (928 + 193*i - 932 - 15*i)*(3*i + 3*i - 7*i).\nAnswer: -178*i**2 + 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from umvlvlvlllll.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 - 10*m - 11. Let w be s(11). Suppose 0 = 5*a + 3*u - 19, -2 - 5 = -3*a - 4*u. Let z be ((-21)\/6 + a)\/(1\/2). Solve -z*h + 0*h = w for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of 0*s**3 + 0 + 17\/10*s**5 - 24*s + 0*s**2 + 31\/6*s**4. What is the third derivative of c(v) wrt v?\nAnswer: 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -76.9 - -77. Let w = 329\/51 + -19\/3. Let g = 4.65 - -0.35. Which is the third biggest value? (a) g (b) i (c) -4\/5 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 23 = -k + y, 5*k + 2*y = -53. Let c be 1*(2 + k\/3). What is the units digit of 31 - (-1 + c)\/(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 127*f - 2028. Let r be k(19). Calculate the greatest common divisor of r and 175.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14 - 8 + 25*y - 3*y + 11 wrt y.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 38.294487\nAnswer: 7.6588974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 9:11 PM?\nAnswer: 7:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -8*q + 5. Factor q*m**2 - 105*m**3 + 49*m**3 + 54*m**3.\nAnswer: -2*m**2*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - 4) + -23 + 7.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 3. Suppose -7*u + 2*u = 30. Let z = -8 - u. Which is smaller: z or r?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 553*u - 499 - 284*u - 686*u**2 - 269*u + 499.\nAnswer: -686*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 divided by 101934.\nAnswer: 4\/16989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -4*k - 4*c, -3*k + 5*c = -12 + 13. Which is smaller: k or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129416307 to the power of 1\/3, to the nearest integer?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence usu when three letters picked without replacement from {u: 2, s: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5054*r**2*u*v**2 + r**2*u*v + r**2*v - 2*r*u*v + 2*r*v**2 + 2*u*v**2 + 9855*u wrt v?\nAnswer: -10108*r**2*u + 4*r + 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fyfupbbxy. Give prob of picking 1 x and 2 b.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 330994.2 tonnes to milligrams.\nAnswer: 330994200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 245247656 a multiple of 2358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (176\/242)\/((-22)\/121)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -91, -5, 59\/6, 114?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a**5 + 633*a**4\/2 - 3267*a**3\/2 + 1023*a**2\/2 + 4935*a\/2 = 0 for a.\nAnswer: -1, 0, 7\/4, 5, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136*k + 122*k = 882360. Does 20 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-f - f + 0*f)*((3*f + 1 - 1)*(-2 + 1 + 0) + 3*f + 26*f + 27*f) to the form v*f + b + t*f**2 and give t.\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -49\nAnswer: -5\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.6 - -0.4. Put 2\/13, 0.04, 4\/5, q in ascending order.\nAnswer: q, 0.04, 2\/13, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - -20?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4027069?\nAnswer: 19, 181, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2 = 2*q - 4, 35 = -5*j - 3*q. Let g be 42\/j*(-112)\/24. Let o = -20 + g. Is o a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of -n**5\/20 + n**3\/3 - n**2\/2 - 4583*n. Suppose 2*u = k + u - 2, -2*k = 4*u - 10. Give w(k).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -52 - 1175\/(-4136)*183?\nAnswer: -1\/88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -5*q - 796, 0 = -3*z - 2*z + 15. Let s = 402 + q. Is 4 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of 3*p**6\/40 + p**5\/10 + p**3 - 10*p**2 - 3. Let u(r) = 8*r**3 + 5*r**2 + 5. Calculate 5*a(t) - 6*u(t).\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 z when two letters picked without replacement from yyytzzyzzzz.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - -5. Suppose b = 6*c - 27. What is the highest common factor of 16 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 310*a**2. Let i(m) = -752*m + 4277. Let d(f) = 47*f - 273. Let u(h) = -47*d(h) - 3*i(h). Give u(o(r)).\nAnswer: 14570*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**2 + 3*y**2 - y**2 + (-2 + 2 - 2*y**2)*(-4 + 3 - 3) + (y - 4*y + y)*(3 + y - 3).\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m + 3. Let q(l) = -22 + 12*l - 15*l - 4*l. Let g(y) = 5*n(y) + q(y). Give g(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 86426 by -1094.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 14880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i - 10. Calculate s(33).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 6*a**2 - 3*a - 3. Give w(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 38454 + -23386. Suppose 0 = -5*d + 7487 + p. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/11 (b) 1 (c) -66\/5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 58 and 7134?\nAnswer: 7134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 15, -57, -289, -771, -1593, -2845?\n\"Answer: -15*q**3 + 10*q**2 + 3*q + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*b + 2*u - 5, -5*u + 32 = 6*b - 88 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by 31.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -11685.9 rounded to the nearest 1000?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5736886 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 8 + -2 + 2 + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 - 8*m**2 - 2*m - 8. Let n(l) = 21*l**2 + 9*l - 10. Calculate the smallest common multiple of n(1) and t(-8).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of -6*p**3 + 19*p**2 + 0 - 23\/24*p**4 + 0*p. What is the first derivative of q(a) wrt a?\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -861*j - 5413. Calculate b(-8).\nAnswer: 1475","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -6ba43 (base 14) to base 8\nAnswer: -1001053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1034951, 2069934, 3104905, 4139864?\nAnswer: 5174811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -376*z. Let p be g(-1). Suppose 3*w = 2*w - p. Let f be (w\/10)\/(10\/(-375)). What is f rounded to the nearest one hundred?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -1 - (-44)\/(-20)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -158 + -86. What are the prime factors of 0 - ((-8)\/16)\/((-2)\/p)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.093 + 3.89792. Round c to three dps.\nAnswer: -0.195","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6800*f + 37*f**3 - 6800*f.\nAnswer: 37*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4184 is divided by 58.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*s + 176 = -85*s. Let u = s + 134. Is u a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uv when two letters picked without replacement from vzkuukzzkz.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/2)\/((-5)\/(-10)). What are the prime factors of 40 - (0\/4 + x)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1131, -2265, -3397, -4527, -5655?\nAnswer: -6781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**3\/3 + 742885*k**2\/3 + 4457353*k\/3 - 5200237\/3 = 0 for k.\nAnswer: -7, 1, 742891","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 5*q - 1. Let a = 61 - 52. Calculate the remainder when v(7) is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 126 - 119. Suppose p*z - 990000 = -11*z. Round z to the nearest 1000.\nAnswer: 55000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*k = -15*k - 72 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i = 13978 - 77768. Is 16 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60)\/(sqrt(2)*1))\/(sqrt(6)*-2*-6))**2 - (4*sqrt(270)\/sqrt(6) - sqrt(45) - sqrt(45))\/(sqrt(54)\/sqrt(6)*-4).\nAnswer: 5\/144 + sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 - 1. Let t(j) = -4*j**2 + 6*j + 3. Let p(x) = 5*q(x) + t(x). Is 9 a factor of p(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 13, 91, 169, 247, 325, 403?\n\"Answer: 78*o - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + k - 2)*(-2*k**2 + 3 - 3) + (0 + 2 - 3)*((1 + 3*k**2 + 0 - 2*k**2)*(23*k - 11*k + 11*k) - k**3 - 9*k**3 + k**3).\nAnswer: -16*k**3 - 23*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-59)\/(10915\/(-444)))\/(3\/(-20))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 374460, 748920, 1123380, 1497840?\n\"Answer: 374460*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/(-6) + (-2888)\/(-57)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20165177*n*s**2 + 3*n*s + 8349*n + 422*s wrt s?\nAnswer: 40330354*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 179636645 to the nearest integer?\nAnswer: 564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-3)*(-285)\/38. Sort y, 1, -4, -6 in descending order.\nAnswer: 1, -4, y, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -57794 times 0.478\nAnswer: -27625.532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 184957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -257*q + 379 + 362 = 227 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26419\/51 + 518. Is 0 != s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2181303 (base 9) to base 8.\nAnswer: 4367542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 124\/9, 2\/11, -0.21, 3\/17, 1 in descending order.\nAnswer: 124\/9, 3, 1, 2\/11, 3\/17, -0.21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 5*y**2 + 8*y - 4*y + 2 - 6*y**2. What is s(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*u + 25*u = -1170. Suppose 3*o = -3*d + 801, 5*d - u = 2*o + 137. What is the remainder when (-21)\/12 + 2 - d\/(-4) is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1)**(-2\/55)\/((g\/((g*g**1*g)\/g*g))\/g**(-2\/7))*((g\/((g*g*(g**(-1\/2)\/g)\/g)\/g))\/g)**(-1\/10)\/(g\/(g**(2\/7)\/g))**(21\/2) assuming g is positive.\nAnswer: g**(-25367\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 32690900 rounded to the nearest 1000000?\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -21 + 96. Let w be 2\/5*(-25)\/g. Sort 0.3, 3\/5, w in decreasing order.\nAnswer: w, 3\/5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -4*x + 2 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*m**5\/4 + 519*m**4\/4 + 285*m**3\/4 - 963*m**2\/4 + 27*m\/2 = 0. Calculate m.\nAnswer: -3, 0, 2\/35, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -35, -7, -3, -5, -1\/4, -0.28, 5?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 1376*t**2 + 10*t + 2321. Let y(k) = 688*k**2 + 4*k + 1159. Let x(v) = -2*p(v) + 5*y(v). Find the first derivative of x(g) wrt g.\nAnswer: 1376*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = 5*t - 21, 7*t = 3*n + 4*t for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y - 4*y + 3*y)*((-1 + 5 + 1)*(-1 + 1 + 2) - 1 + 1 + 2).\nAnswer: 36*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - 5. Let h = q + 23. Let l = 11.924 - h. Round l to 2 decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of -15*l**4\/4 - l**3\/6 - l**2 + 10*l. What is the second derivative of p(m) wrt m?\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3ae7 (base 15) in base 5?\nAnswer: -400332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 5*i = -757, -5*c + 4*i + 239 = -656. Let r = 9527 + -9465. What is the remainder when c is divided by r?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 - (-15 + 10 + -15 - -8)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 + -10. List the prime factors of ((-305)\/(-15))\/(i\/6).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -68*b + 59. Give a(0).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 - 4*d + 3. Let j be p(3). Solve 4*o + 5*x - 14 - 10 = 0, 2*o - 3*x + 10 = j for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - -1) + 2 + -8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5029602574?\nAnswer: 2, 20089, 125183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 808571055 divided by -3?\nAnswer: -269523685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**2 + 2*n**3 - n**2 + (-2*n + 4*n - n)*(n - 202*n**2 + 54*n**2 + 60*n**2).\nAnswer: -86*n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/3 - 436*w + 2640.\nAnswer: -2*(w - 6)*(w + 660)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/2 or 10851989.8?\nAnswer: 10851989.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 17, 1, 2, 4, -3408 in descending order.\nAnswer: 17, 4, 2, 1, 0, -2, -3408","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -374 bigger than -151042\/403?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*-20*(-21)\/14. Suppose -4*n - 2*y + 1084 = 0, -5*n + 164 = -2*y - 1182. What is the highest common factor of s and n?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*h = -0*h + 4, 0 = t - 5*h - 12. Suppose 4*l - 24 = -4*w, 4*l - 3*w - 4 = -t*w. Solve 0 = l*i - 3*i + 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(2\/(-8)*2). Calculate the remainder when 18 is divided by (-16)\/c*(-14)\/8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38.035 + 38. Let m = v - -10.535. What is m rounded to 0 decimal places?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 563 - 251. Suppose -22*w + o = -10*w. Does 4 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(-2))\/((-5)\/(-20)). What is the units digit of (-21)\/(-1 + -2) + j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 + 7 + 4*d - 3 to the form h*d + k and give k.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 80\/409563 and 47\/221034?\nAnswer: 13925142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1048 (base 12) to base 15.\nAnswer: 7de","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/429024 and -23\/13120.\nAnswer: 4290240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {f: 2, a: 10}.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 58 + -57.5. Which is the second smallest value? (a) s (b) 4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/((n**(-12)*n)\/n))\/(n**(2\/9)*n)*(n\/(n*n**0))**(-3\/22))**(27\/2) assuming n is positive.\nAnswer: n**(345\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 17, -224, -41, 0 in decreasing order.\nAnswer: 17, 0, -2, -41, -224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/4 of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 52*z + 10 = 47*z, 2*u - z = 15 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 5:00 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 0, 4 in ascending order.\nAnswer: -4, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6355433.\nAnswer: 7, 17, 53407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 7*u - 84 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2146.156 + 2152. Let b = 0.044 - s. What is b rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 5*x**2 + x + 2. Let q be n(-1). Let h be (-3 - 0)\/q*0. Suppose 0 = -2*i + 4*i - 22. Solve 3*o + 1 + i = h for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2448, 4, -5\/3 in descending order.\nAnswer: 4, -5\/3, -2448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 68404203 a multiple of 2044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 247443336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -3*c + 9324*v - 9319*v, 0 = -5*c + 2*v - 48 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*b + 44 = -26 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-6))\/(4\/(-6) + -3)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 + 12. Let t = -33 + 36. Which is the nearest to 0? (a) -0.1 (b) k (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 37414 and 14?\nAnswer: 261898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 3*o**2 + 38*o + 115. Give s(-11).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 299 + (-2)\/4*0 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1636 - 2317. Let b = -664 - i. Let g(c) = c**3 - c**2 - 3*c. Let q be g(5). What is the highest common factor of b and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*u = -3*n + 49*u + 30, 0 = 5*n - 3*u - 58. Solve -15*y = -16 - n for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 - 10*g + 2*g**2 to q + b*g**2 + h*g and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 39*y + 4 - y**2 + 108*y + 118*y.\nAnswer: -y**2 + 265*y + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9.8 + -12. Let z = -0.8 + j. Let l = z - -2.9. What is the third biggest value in l, -3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 64 = 20. What is the greatest common divisor of i and 140?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 6, 10\/63, 0.07 in ascending order.\nAnswer: 0.07, 10\/63, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of o**5\/50 - 4*o**4\/15 + 4*o**3\/5 - 83*o + 83. Let c(n) be the first derivative of m(n). Suppose c(s) = 0. Calculate s.\nAnswer: 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millimeter in micrometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -8*j**5 - 5*j**4 + 7*j**3 + 9*j**2 - 3*j + 8. Let t(n) = 17*n**5 + 10*n**4 - 15*n**3 - 19*n**2 + 7*n - 18. Let i(k) = -9*h(k) - 4*t(k). Factor i(m).\nAnswer: m*(m - 1)*(m + 1)**2*(4*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -d**2\/5 + 693*d\/5 + 7744\/5 = 0.\nAnswer: -11, 704","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of c**4\/6 + c**3\/3 - 4*c**2 + 21*c. What is f(3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -1 + z**2 + z + 8 - 8. Let a(c) be the third derivative of -1\/3*c**4 + 0*c + 4\/3*c**3 - 1\/15*c**5 + 0 + 9*c**2. Determine a(p) + 8*q(p).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19075.4 - -19075. What is the nearest to -4\/5 in k, -2\/45, 2, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = s - 4, -5*n - 1191 + 1241 = 5*s for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1011330175 or 1011330176?\nAnswer: 1011330176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 8*b - 2*m - 16 = 0, -5*m - 14 = -b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 AM and 2:45 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/2 or 227508.9?\nAnswer: 227508.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 560 = 3*h - 2*f, -20 = 5*f. List the prime factors of h.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -17293154, -17293155, -17293156, -17293157, -17293158, -17293159?\n\"Answer: -c - 17293153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -22255 plus -4075?\nAnswer: -26330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 - -8. Put 3, a, -2 in decreasing order.\nAnswer: 3, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - 3*w - 3. Let t be x(-2). Let y(p) be the second derivative of -2*p**3\/3 - 3*p**2 + p. Does 14 divide y(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 187846, 375692, 563538?\nAnswer: 751384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 582 and 106?\nAnswer: 30846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/10 - (-39)\/15. Suppose -x*i = 2*i - 8. Are i and 3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8 + -9 + (0 - -1 - 2). Let o be 4 - (-4)\/t - -147. Suppose 12*f + o = 605. Does 5 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 + 10*h**2 + 11*h + 14. What is l(-9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7634, -15447, -23258, -31067, -38874, -46679?\nAnswer: -54482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -180, -608, -1056, -1296, -1100, -240?\nAnswer: 1512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by 54.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/23, 1\/1353, 0.4, 1\/3, -84 in decreasing order.\nAnswer: 0.4, 1\/3, 6\/23, 1\/1353, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o*o**1*o)\/o)\/(o**1*o))\/(o*o**2)**(-28) assuming o is positive.\nAnswer: o**85","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 PM and 6:05 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 726331220 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 - 155?\nAnswer: -14e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, v: 7, z: 2}. What is prob of picking 4 y?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 + -9. What is the units digit of i\/21 + (-66)\/(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 342 = 3*i - 355, -4*a = -16 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5.6 and 23096.6?\nAnswer: 129340.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 25, 87, 205, 397, 681, 1075?\nAnswer: 1597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42091 and 245.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/2401*-49)\/(20\/90)?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuuqruqquuiquuq. Give prob of picking 1 u and 3 q.\nAnswer: 5\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 25 divided by 12\nAnswer: 25\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 12:21 AM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 - y + 2. Let x be g(0). Let n(u) be the first derivative of 1 - 3*u - 2 + u**x - 2*u + 4*u. Determine n(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80.68279 milligrams in kilograms?\nAnswer: 0.00008068279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*d - 33*d + c + 13 = 0, 4*c + 16 = 2*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 812 and 232.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-76055)\/78228*(-18)\/(-21)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3681853?\nAnswer: 7, 525979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -107.7+-1.7\nAnswer: -109.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60844650 and 592?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30*(-12)\/4320)\/((-16)\/(-16) + (-40)\/18)?\nAnswer: -3\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/(-40) + -1)\/((-7)\/(-14))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 5*r + 4*s, -14 = 2*r + 4*s - 8*s. Let q be r\/42 - (-14)\/12. Let u be (2 + -5)\/(q\/(-19)*3). What is the highest common divisor of u and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -11\/9 (b) -3 (c) 3\/5 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2112\/11035 or 0?\nAnswer: -2112\/11035","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (40\/(-50))\/(1*(-16)\/360). Solve 5*l - 21 = b, -t*l = -20*l + 2*b + 2 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 PM and 11:16 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 226.\nAnswer: 1582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 11*k**2 - 165*k + 20. Is 5 a factor of w(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z + 27 = -3*z + 2 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-seven fifths of a day?\nAnswer: 7776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -944334 (base 14) in base 7?\nAnswer: -60355564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2 - 1602*p - 213867.\nAnswer: -3*(p + 267)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4\/7 (b) 2 (c) 240 (d) -9 (e) 1.31 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 53795631 to the power of 1\/3, to the nearest integer?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2844 - 398. Let p(c) = -z*c + 2 - 5 + 3 + 2460*c. Let l(r) = 4*r. Give p(l(a)).\nAnswer: 56*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*v + 58*v**2 + 5*v - v as t + d*v**2 + q*v and give d.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -80 + 159 - 131 - 40 - m**2 in the form u*m + p*m**2 + r and give r.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 409*g + 36433 = -2422 for g.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -2 - ((0 - (0 - 17)) + -12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.416 + -5.416. Let t be (-1 + -4)*(-18)\/315. Which is the fourth biggest value? (a) -1\/2 (b) l (c) t (d) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 990*g**3 - 15*g**2 - 1. Let a(p) = -p**3 + p**2 + 17*p. Let c(f) = -2*a(f) + v(f). What is the third derivative of c(h) wrt h?\nAnswer: 5952","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2)*(2*l - 19 - l + 18) + 2*l - 3*l + 0*l.\nAnswer: -3*l + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 10*f - 80. What is u(9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-8 + 1 - (-33 - -32)) + 10\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3033610?\nAnswer: 2, 5, 303361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -25*d. Let a(g) = -g. Let y(j) = 100*a(j) - 5*r(j). What is the tens digit of y(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 478.4517l?\nAnswer: 478451.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/1902 and -55\/51.\nAnswer: 32334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 times -0.084?\nAnswer: 1.512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-2))\/w)\/(w\/(w\/(w**(4\/3)\/w)))*w**5*(w\/(w\/(w\/w**(-11)*w)*w))\/w*w assuming w is positive.\nAnswer: w**(56\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4231 - 4232. Which is the nearest to -1? (a) -2 (b) -3\/4 (c) x (d) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 565.\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-one eighths of a millimeter?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**4 - 2*o**4 + 4*o**4 + (246 + 5*o - 246)*(31*o**3 + 30*o - 30*o) + (2*o + 1 - 1)*(-o**3 + 0 + 0).\nAnswer: 156*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 + (-12 - -3)\/(-1). Suppose -20 = -y*q - 10. What is the third derivative of 58*f**2 + 66*f**2 - 141*f**q - 27*f**4 wrt f?\nAnswer: -648*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a - 11. Let o be d(-5). Let w(q) = -q**3 - 4*q**2 + 10*q + 7. Calculate the remainder when w(o) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21290 = 5*m - 4*h - 10223, 4*m - 25244 = -8*h. What are the prime factors of m?\nAnswer: 5, 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 - 15*o + 41. Let k be u(12). What is x in 23800*x + k*x**3 - 23800*x - 65*x**2 = 0?\nAnswer: 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 - -11. Suppose q = 2*o - 30. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 0.1469, 2\/15 in decreasing order.\nAnswer: 0.1469, 2\/15, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -6*q. Let u(w) = -15*w**2 + 8*w**2 + 8*w**2. What is b(u(z))?\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 AM and 8:21 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 1 = 3*g + 12, -3*g + 1 = -4*o. Let d(f) = -f**2 - 6*f - 2. Let m be d(g). Suppose -30 = m*r - 6*r. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-10))\/f**(-12\/11)*(f**(2\/5))**(-2\/17) assuming f is positive.\nAnswer: f**(-7439\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -c (base 14) to base 7\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 9 - (-2 + 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 69*j**2 - 14*j - 23. Suppose 5*t + 3 + 30 = 2*g, 3*t - 4*g = -31. What is the units digit of v(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 444321815 a multiple of 728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**2 - q**3 - q**3 - 2*q**2 + (3*q - 2*q + 4*q)*(q**2 - q + q) + (-2 - 3*q + 2)*(q**2 - 3*q**2 + 0*q**2) + 4*q**3 - 2*q**3 + 8*q**3.\nAnswer: 19*q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 6*p - 17. Let t be j(5). Let m(z) = -z**3 + 14*z**2 - 8*z + 6. Let f be m(t). Let w = f - 83. Which is smaller: w or -10?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8278 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 3*o - 2*o - 123, 4*o = -4*j + 168. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36.87 + 57.87. Which is the nearest to 0.1? (a) -4 (b) -22 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 + 62. Let g be x(0). Suppose 0 = -4*q + g - 6. What is the least common multiple of 12 and q?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = n - 48. Let p = -11 + n. List the prime factors of p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2*n = 0. Suppose n = -3*y + 156 + 378. Suppose 0 = -3*j + y - 13. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5361 and 784861.\nAnswer: 779500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 3 + 2 + 1 + 1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2c9 + 4d?\nAnswer: -27c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of -3*i**6\/40 + 7*i**5\/60 - i**3\/3 + i**2. Let w(m) = 14*m**2 - 4*m**3 - 10*m**2 - 5 + 4 - m**2. Give -7*w(c) + 3*y(c).\nAnswer: c**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-72)\/99*2\/(-8).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 5*w**3 + w**2 - w - 2. What is b(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -5*c + 63. Let o(n) = -n - 13. Let r(b) = f(b) + 4*o(b). Let h(j) = -5*j + 6. Determine -5*h(p) + 3*r(p).\nAnswer: -2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 2:30 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 317127272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 632, 1420, 2208, 2996?\n\"Answer: 788*w - 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2. Let f be x(1). Let b be f\/(-1*2\/10). Let a(n) = n**3 - 6*n**2 + 5*n - 6. What is a(b)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 15\/28 + 8\/(-28). Let y = -64 + 61.1. Let j = -3 - y. Are j and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 divided by 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -36\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2\/7 (b) -2\/5 (c) -2 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7736?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (69 + 174 - 369 - 544)*(-7*k + 0*k + 2*k) as d + z*k and give z.\nAnswer: 3350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 15808*n + 5053. Is q(30) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 - 312 = -5*z. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 5 = j, -2*j + 31 = 3*j + 3*n. Suppose -2*b - p + 5 = 0, b + 4*b = 5*p + j. Solve -q - b = q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3704722 + -1942989. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2658*m - 2333*m - 336641 = 6469*m + 62719 for m.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.9 + 7. Let n(d) = 24*d - 1122. Let f be n(47). What is the closest to i in -5\/2, f, -3?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3350, 3351, 3352, 3353?\n\"Answer: w + 3349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.018 in -0.3, -3, -2\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in -0.3, -24\/7, 5, 1, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 654734 is divided by 15581?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 7. Let u(l) = l**2 + 4*l + 3. Let g be u(o). Solve g*j + 2 = j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*o + 275 = -38*o. What is the remainder when o is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 3*z + 755, -3*w + 151 = -2*w + 5*z. Is 17 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -18*i - 6. Let o be h(12). List the prime factors of (3 - 2)\/((2\/o)\/(-1)).\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 13*j + 103. What is q(-9)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 985 - 3?\nAnswer: 982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - (-2)\/4)*2. Suppose -3*d = -2*x - 16, -t*d + x = -3 - 8. Suppose -d*r + 3 + 3 = 0. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1756824 and 1136?\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2554 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-77)\/70 + (-6)\/(-10). Which is the third biggest value? (a) 5 (b) -0.4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*f - 60*f - 17*f + 177*f.\nAnswer: 92*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 290 - 120. Suppose 2*j = 7*j - c. Does 17 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 4066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (3 + -2 + 5 + 4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 - 2*t**2 - 2*t + 2. Give o(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -2*v - 36. Let r = 82985 - 82985.04. Which is the third biggest value? (a) r (b) -0.5 (c) 1\/4 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 3*h - 5 + h**2 - 3*h - h - h**3 - 7*h**2. Let a be (14 - -1)*4\/(-10). What is s(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + t**3 + 0)*(8*t - 17*t - 13*t) + 2*t**4 - t**4 - 2*t**4 + 2*t**4 + 4*t**4 - 4*t**4.\nAnswer: -21*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(j*j\/(j**(-4\/3)\/j*j*j))\/j)**9 assuming j is positive.\nAnswer: j**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/2260 and -71\/4301080.\nAnswer: 486022040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17331234*o**2 + 16093492*o.\nAnswer: -34662468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3916 divided by -89?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-120)\/16)\/((1*4\/(-16))\/(36\/24)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5998293 a multiple of 1043?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -17*f**3 + 13*f**2 + 2*f + 2. Let m(k) = -35*k**3 + 27*k**2 + 5*k + 5. Let g(b) = -5*c(b) + 2*m(b). Find the third derivative of g(y) wrt y.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from brrrqkbrkqb. What is prob of picking 2 q?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) - (4*sqrt(204)*6 - sqrt(204)))\/sqrt(12).\nAnswer: -22*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1883 divided by 189638\nAnswer: 1883\/189638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5798328839 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 5*s**2 + 5*s - 1. Let v(n) = 0*n - 16*n**2 + 4 - 11*n - 5*n + 0*n**2. Let p be 9*3\/27*2. Determine p*v(j) + 7*q(j).\nAnswer: 3*j**2 + 3*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - z - 1 = 0, 37*z - 28 = 2*l + 41*z for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 2*n**5\/21 + 1996*n**4\/21 + 499994*n**3\/21 + 331336*n**2\/7 + 165336*n\/7 = 0.\nAnswer: -498, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.5301 - -0.5101. Which is the smallest value? (a) x (b) -10\/23 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -1296*y**2 + 653*y**2 + 531*y**2. Let x(z) be the second derivative of -z**3\/6 - 3*z. Determine u(x(p)).\nAnswer: -112*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 3, -1, -5, 25.\nAnswer: -13, -5, -1, 3, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.9 + -1. Suppose r - 8 = -4*f + 5*r, -f + 2 = 2*r. Suppose -3*v = -3*n + 3, -4*v - 7 = -5*n - f. What is the closest to n in 0, o, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three sixteenths of a century?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 15147071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(8\/(-7) + 1). Let u(f) = f**2 + 7*f + 3. Let w be u(z). Solve -20 = -w*h - h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8542, -8541, -8540, -8539, -8538?\nAnswer: -8537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 10 = -4*f. Suppose 0 = 3*v + 5*c + 17, -v - f = -2*c - 11. Let z(y) = y + 2 + 3 - 6 - v. What is z(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/7960680 and -103\/53820.\nAnswer: 183095640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/42)\/(-10 + 6704\/672)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/22 - 20952\/(-44). Suppose -a = -4*f + 5*v, 2*f - 3*f = -5*v - 119. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2214.637ml?\nAnswer: 2.214637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**9)**(2\/11)\/(o\/o**(4\/19)*o**(-2\/55)) assuming o is positive.\nAnswer: o**(1113\/1045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 6*f**2. Let l be j(1). Suppose 4*t + 62 = l*t. Does 12 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150 = 8*b + 42*b - 35*b for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 14*y + 5. Let q be w(-7). Let s = q - -350. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -q - 2*m + 6, 0 = -2*q - 3*m + 4. Suppose q*f - f = 15. What is the greatest common divisor of 6 and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9642 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -29*r**3 + 5*r**3 - 136*r**2 - 20*r**3 - 3*r**4 - 96*r - r**4.\nAnswer: -4*r*(r + 1)*(r + 4)*(r + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = -14*p + 12*p. Calculate the greatest common factor of p and 333.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.04296 and 3.8528.\nAnswer: 3.89576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49658 = 5*g + 4*s, -106*g + 2*s = -115*g + 89348. What is the highest common divisor of g and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52617367?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -397*t**2 - 49*t + 329. Let f be r(5). Are f and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -21. Suppose q + i = -3*q, q = 2*h - 44. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3429 and 4191?\nAnswer: 37719","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*b**2 - 26*b - 122*b + 5*b**2 + b**2 - 17*b to the form m*b + l*b**2 + d and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*b + 2*j - 0, -2*b - 21 = -5*j. Suppose b*v = v + 2. Let o(p) = -1 + v*p - 4 - 5*p + 2 + 2*p**2. What is o(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13265 + 26547 - 9622)*(0*t**4 - t**5 + 0*t**4).\nAnswer: -3660*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 6*x - 300 = 0. Suppose 2*p + 8 = x. What is the tens digit of (p\/6)\/(1\/9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -22 + 1. Let k(j) = -2*j**3 + 3*j + 6. Let i(u) = -2*u**3 + 4*u + 7. Let z(b) = c*k(b) + 6*i(b). Find the second derivative of z(n) wrt n.\nAnswer: 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10101303 - 214?\nAnswer: 10101034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4274 - 916 - 250 = -170*j. Calculate the greatest common divisor of j and 296.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1106 divided by -4446\nAnswer: 553\/2223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25911?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + 7*t + 6. Let p be h(-6). Let l be -1 + (-45)\/(-44) - p. Let n = -3\/11 + l. What is the third biggest value in 4, n, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000113227 rounded to 7 dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y + 4. Let z(u) = u + 3. Let m be (-24)\/(-9)*(-3)\/(-2). Let b(g) = m*z(g) - 3*n(g). Let x(s) = -2*s. Calculate b(x(o)).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 31455.\nAnswer: -1\/6291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 110, -2, -31\/2, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (54 - 20) + -60 + 76\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9*m**4 + m**3 + 203*m - 79064 wrt m?\nAnswer: -36*m**3 + 3*m**2 + 203","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide -3*32561\/(-6) - (-4)\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -6*b - 3. Let t(r) = 5*r + 4. Let w(u) = 7*j(u) + 6*t(u). Let q(y) = -y. Give q(w(k)).\nAnswer: 12*k - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 165381472.\nAnswer: 2, 19, 272009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -6448865 divided by -379345\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 573*n**2 - 8. Let j(v) = 1147*v**2 - 18. Let b(s) = 4*j(s) - 9*x(s). Let l(u) = -75*u + u**2 + 75*u. What is l(b(g))?\nAnswer: 323761*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - 10.175\nAnswer: -9.675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 958155679 * 5\nAnswer: 4790778395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 1\/7, -2, 0.5 in descending order.\nAnswer: 0.5, 1\/7, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 18, -0.6, 12\/11, -0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**32*m*m*m**(-1\/20) assuming m is positive.\nAnswer: m**(679\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*x = -10 + 46. Let s(a) be the third derivative of 2\/15*a**3 + 0 + 0*a + 1\/60*a**4 + 12*a**x - 1\/150*a**5. Solve s(n) = 0 for n.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*f**3 - 12 + 15*f**4 + 125*f - 125*f + 51*f**2 = 0. Calculate f.\nAnswer: -2, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -60, -125, -196, -273?\n\"Answer: -3*g**2 - 56*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 3. Let u be 17\/a - (-2)\/(-4). Suppose 2*b - 13 + 2 = -5*w, -3 = 3*w. Calculate the greatest common divisor of b and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -300\/287?\nAnswer: -300\/287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*n + 2*u - 6, -3*u + 11 = -4*n. Suppose j = -2*k + 3, -5*j + j - 5*k + 3 = 0. Put 4, j, 12, n in descending order.\nAnswer: 12, 4, j, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1019200 and 2914275?\nAnswer: 186513600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -482*b**2 + 2 + 481*b**2 - 1. Let x(v) = -v**2 + 15 - 7 - 7. Let z be (-17 + 2)*(-2)\/(-6). Determine z*x(k) + 7*m(k).\nAnswer: -2*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 57343707 to the nearest integer?\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 96517613 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of -g**6\/180 - g**5\/20 - g**4\/6 - g**3\/2 + g**2. Let d(a) be the first derivative of r(a). Factor d(b).\nAnswer: -2*(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + 10*y + 21. What is the units digit of t(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4 + 0 = 0. Let r = -0.54 - -0.188. Let d = r + 0.052. Which is the nearest to 1? (a) t (b) d (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -3. Let p = -156733 - -1410599\/9. Put 2, 31, p, c in descending order.\nAnswer: 31, c, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1284421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c630d6 + 0?\nAnswer: -c630d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(192)\/sqrt(108))\/sqrt(8))*-6 - (sqrt(98) + -4 + sqrt(98) + 0 + -4 + sqrt(98)*2)*-1.\nAnswer: -32 + 26*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-124*o - 464*o - 111*o)*(2 + 0*o**3 + 0*o**3 + 2*o**4).\nAnswer: -1398*o**5 - 1398*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (5 + (-33 + 22 - (1 - -3)))) + -19?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 136282454?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*u**3 + 223*u wrt u.\nAnswer: 60*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/78 and -101\/26.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-10))\/(-3*4*(-5)\/1560).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1010 - -1002. Suppose 4*t + 0*b - b - 12 = 0, 3*b = 4*t - 4. Suppose -4*k + t = -0. What is the second biggest value in l, 3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**0)**(-25) assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a meter in centimeters?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9608 is divided by 369.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 7*l**2 - 2*l. Let k be a(-2). Calculate the greatest common divisor of k and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -3.5. Let i = -3 - n. Let w = -0.41 + 0.41. What is the closest to w in -1, -3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*r - 30*r + 30 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 3)*(-3 + 0 + 5)*(107*u - 96*u - 111*u)*(4*u + 2*u + 0*u).\nAnswer: -3600*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - 8*f**2 - 9*f + 2. Let p be s(9). Let b = 5 - p. Suppose -1 = -2*c + b. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3*t - 24. Calculate q(18).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9.17 - -9.9. Let y = 0.7 - l. Let v = y - 0.17. What is the nearest to 0 in v, 2\/25, 0.3?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63 = 17*i + 124 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 45\/2 of a millimeter?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2910316 or 2910313?\nAnswer: 2910313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6389 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3 + -0.5. Let c = 0.9 + -0.98. Let q = -2.08 - c. What is the third biggest value in -1\/2, q, g?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -15*a + 11. Let j(z) = -74*z + 56. Let t(b) = -3*j(b) + 16*r(b). Let y be t(-5). What is the greatest common divisor of y and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, r: 2, h: 1, e: 1}. Give prob of sequence hr.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23.0000018 + -23. Round i to seven dps.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 + -1.37. Let o = -0.01 + t. What is o rounded to one decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27 - 39. Let x = 16 + m. Solve 3*n = x*n - 3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 + 10 = -3*z. Find the common denominator of z\/(-44) - 238\/88 and -46\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -91*f - 803. What is the hundreds digit of h(-39)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*15\/1)\/((-21)\/(-14)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -2*z - 5*p, 0 = 70*z - 66*z - 2*p + 10. Let c(q) = q**3 + 7*q**2 - 4. Calculate c(z).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*r - 16672 + 16782 = 0 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3839, -8089, -12391, -16769, -21247, -25849, -30599, -35521?\nAnswer: -40639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.1, -4, 4, 0.3 in ascending order.\nAnswer: -4, -1.1, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 - 86*m**2 + 1 - 79*m**2 + 166*m**2. Let l(d) = d**2 + 1. Give -4*l(z) + 4*u(z).\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 + 9*k**2 - 14*k + 59. List the prime factors of v(-8).\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/84*-87*-1*2.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -38, -66, -90, -110, -126?\n\"Answer: 2*c**2 - 34*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 721240244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49 - 436*m**2 + 103 + 431*m**2 - 54.\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 22*a. Let b be (-57)\/(-12) + 8\/32. Let g(c) = 7*c - b*c + 0*c. What is g(d(n))?\nAnswer: 44*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(581 + -595 + (-47)\/(-5)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10 + (-10)\/(-4)*(-90)\/75. Let d be (-3)\/(2 + a) - (-136)\/12. Suppose 21 = u - d. What is u rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*d**4 - 2*d**4 + d**4 + (4*d**3 + d**3 + 3*d - 3*d**3)*(7*d + 10*d + d) in the form s*d + g*d**4 + a + c*d**2 + t*d**3 and give c.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 + 60 = 4*s. What is the remainder when 7\/(-84) - (-949)\/12 is divided by s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -133250 - 24?\nAnswer: -133314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 25*s - 17085 + 17085 + (0 + 2 - 4)*(-5*s + 3*s + 3*s).\nAnswer: 23*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 749 + -734. Put 3, -5, p in ascending order.\nAnswer: -5, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2076.7131 nanoseconds to hours.\nAnswer: 0.00000000057686475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -409, -1640, -3697, -6586, -10313?\n\"Answer: -n**3 - 407*n**2 - 3*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(12) - (sqrt(12) - (sqrt(96)*-2 + sqrt(96))\/sqrt(8)))\/sqrt(3))\/(2*sqrt(50) - 6*(sqrt(2) - sqrt(2)*-2)))**2.\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)*-4)**2*1.\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-1)\/(35\/(-5)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of -i**5\/4 - 3*i**4\/16 + i**3\/6 - 5. Factor s(j).\nAnswer: -j**2*(j + 1)*(5*j - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-1\/2)*w)\/w*w\/(w*w**(1\/9)))**27\/((w*w*w**(-1\/3))**(-27\/7))**15 assuming w is positive.\nAnswer: w**(1875\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*j - 92*j + 329*j = 634. Solve 47*k - 8 = 43*k, -j*q = -k for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 130 + -127. Let v be (5 + s)*(-1)\/(-2). Find the third derivative of -7*n**2 - 2*n**4 + 2*n**v - 46*n**5 + 17*n**5 wrt n.\nAnswer: -1740*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -325, -353, -385, -421, -461, -505, -553?\n\"Answer: -2*s**2 - 22*s - 301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -861, -2074, -3287, -4500?\nAnswer: -5713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 129 = 857. What is the common denominator of -101\/4 and ((-5)\/10)\/(8\/s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9716 divided by -3?\nAnswer: 9716\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -21202 (base 5) in base 15?\nAnswer: -652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 5*c = -35, c - 2*c = 2*z - 5. Suppose 0*b + 245 = z*b. What is the remainder when b is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 386413?\nAnswer: 386413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -307? (a) 3\/10 (b) 28 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 46449.71 hours in minutes?\nAnswer: 2786982.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1880924347?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.08 (b) 4 (c) 3\/4 (d) -166 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 93 = -a, -3*a + 4*z + 257 - 30 = 0. Let f = 189 - 87. Let b = 156 - f. What is the greatest common factor of a and b?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7795474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 + 27960*j - 1256185. What is f(45)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 7553, 30191, 67921, 120743, 188657?\n\"Answer: 7546*b**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 23897930 to the nearest 100000.\nAnswer: 23900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70 divided by -563.\nAnswer: 70\/563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36 + 36.29. Round d to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -3*b + 100. Let u be 252\/441 + (3\/7)\/((-3)\/4). Calculate w(u).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135*t + 156*t - 274953 = 0. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -258 + 253. List the prime factors of b*(5 - 7)\/((-2)\/(-83)).\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140468533 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 5*k - 4. Let x(r) = -10*r + 6. Give 11*t(u) + 6*x(u).\nAnswer: -5*u - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f**2 + 2*f + 20. Let q be v(0). Suppose -4*x + 5 = -59. Let j = q - x. Which is the closest to -0.1? (a) j (b) -1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + p - 13 = 0, 150*a + 2*p = 155*a + 16 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.96 - -3. Let a = 75.9624 + -76. Let g = a + u. What is g rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 4*o = -220, 5*g + 4*o + 214 - 752 = 0. What are the prime factors of g?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*v - 61*v + 30*v)*(3 - 3 - v**3).\nAnswer: 3*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 512?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + b6?\nAnswer: b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p - 6. Let l be s(-4). Suppose -t + 17 = 5*v - l, 0 = -4*t + 5*v + 51. What is the remainder when 40 is divided by t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i + 6*i**3 + i**2 - 6*i**3 + 5*i**4 + i to the form w*i**4 + z*i**2 + t*i + s + v*i**3 and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -623177*a**2. Let y(z) = z. Determine y(n(s)).\nAnswer: -623177*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 115*u - 5287. Determine w(46).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-3*(-3 + sqrt(512)) + -2*(sqrt(512) + 1))**2*3 + -5).\nAnswer: -115626 + 10080*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.632 - 0.632. Let p = 0.3 + 0. Which is the second smallest value? (a) l (b) 0 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 5 = 2305. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.6 - -0.4. Let b = 5 - 5. What is the nearest to -1 in b, u, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/11)\/s**(-3)*(s*s**(1\/3)*s)\/(s*s**(-6)))**48 assuming s is positive.\nAnswer: s**(5408\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = -5*k + 21, -2*k - 4857*s + 4855*s = -12 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g - 1. Let v(r) = 16*r**2 + 11*r. Determine -2*p(m) + v(m).\nAnswer: 16*m**2 + 9*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67797?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 = 8*k - 37. Calculate the greatest common divisor of k and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3406 a factor of 142851046?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -99*(-5)\/360*-8?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4458, 8918, 13378, 17838, 22298, 26758?\n\"Answer: 4460*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 24\/(-20)) + (-33)\/15?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 5*u + 2*v, 2*u - 3 = 8*v - 3*v for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*g*k**3*x + 132*g*k**3 + 10*g*k**2*x + 2*g*k**2 + 24*g*k + g - k**3*x + k*x wrt k?\nAnswer: 114*g*x + 792*g - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 68587 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39015 and 55199?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 - 15*a - 9*a + 47*a - 8*a - 16*a.\nAnswer: -a + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + 19*q**2 + 22*q - 39. Determine p(20).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -957, -756, -173, 984, 2907, 5788, 9819, 15192?\nAnswer: 22099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-u + 3*u + 2*u)*(1 - u - 7 + 7) in the form i*u + n + v*u**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuvcmmvx. Give prob of sequence uuc.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-30)\/n)\/n**(-1\/23))\/(n**(-1\/9)\/n)**(2\/77) assuming n is positive.\nAnswer: n**(-492956\/15939)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/2 + -1*(4 + -3). Let n(s) = -s**2 - 5*s - 4. Let k be n(o). Suppose 4*g + 0*g - 60 = k. Solve 0 = 6*y - 11*y - g for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert d39f49 (base 16) to base 6.\nAnswer: 1213131425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 487 - 19. Calculate the lowest common multiple of n and 12.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4303 (base 15) to base 11\nAnswer: -a71a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -162 - -159. Put -4, g, 6 in increasing order.\nAnswer: -4, g, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10147*d**3 + 5*d**2 + 17*d - 1 wrt d.\nAnswer: -60882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**2*f))\/(f\/f**6)*f**(-1\/4)\/f*f*f**(-2\/3)\/f assuming f is positive.\nAnswer: f**(13\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 456992 is divided by 1136.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 240020710?\nAnswer: 2, 5, 24002071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (8 + -6 - -5 - 8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178 is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3928577682 - -3928577854.9999911. Let f = 173 - w. What is f rounded to six decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*m - 2 - 12 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -6298.24?\nAnswer: 31491.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 447 and 1670737?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (2*(-3)\/9)\/((94848\/48564)\/208)\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 167*u**5 + u**3 - 90*u - 3 wrt u.\nAnswer: 3340*u**3 + 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 1000*d + 4357. Calculate h(-4).\nAnswer: 357","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 955925 is divided by 277.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -4, -5, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of -n**4\/8 - n**3\/3 - 20*n**2. Let w be u(-3). Suppose w*m = 9*m - 26600. What is m rounded to the nearest one thousand?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 2*n - 98421, -2*n = 369*d - 364*d - 164027. List the prime factors of d.\nAnswer: 32803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 52675 + 725?\nAnswer: 53511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o - 28 = 11. Let d be 9*(-3)\/(-2 - 7). Put o, 1, d, 2 in increasing order.\nAnswer: o, 1, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/7 - (-38090)\/22561 - 3\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ric when three letters picked without replacement from {o: 6, i: 5, w: 1, c: 1, n: 2, r: 1}.\nAnswer: 1\/672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 110790\/13541*((-20)\/9)\/(-10).\nAnswer: 20\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.0628, -1\/5, -1\/11, 683, -5?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, -5, -19 in decreasing order.\nAnswer: 3, 0, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6121963?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -58, -80, -126, -196, -290, -408?\n\"Answer: -12*a**2 + 14*a - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-4 - 3) + (2 - 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -424 + 1519 - 529 - 430 - 12*t.\nAnswer: -12*t + 136","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66 divided by 6.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -3) + (-4 + 26 - 11 - -15).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -35, 20, 3\/58 in descending order.\nAnswer: 20, 2, 3\/58, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*a**2 + 0*a - 3*a - 14*a**2 - 12*a**2.\nAnswer: 9*a**2 - 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -5*f**3 + 3*f**2 + 11*f + 11. Let r be (-6)\/((-44)\/(-8) + -4). Let q(k) = 0*k**2 - k**2 - 4*k - 8 + 4 + 2*k**3. Give r*i(y) - 11*q(y).\nAnswer: -2*y**3 - y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10914001313 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -425 - -424.9. Let b be 1\/(2\/(-12)) - -1. What is the fourth biggest value in b, -2, l, -2\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6, -1\/4, 1, -10, 0.3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -8 + 4*k + k**2 - 2 + 1 + 0. Let i(p) = -p + 3. Let t be i(-4). What is the tens digit of g(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 305255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/28)\/(-21*(-15)\/(-1680))\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 237330 to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 168*y - 246. What are the prime factors of r(69)?\nAnswer: 2, 3, 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97067 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c01b67 (base 14) to base 5.\nAnswer: -12040112130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/2, -0.4, -505\/6, 8.\nAnswer: -505\/6, -0.4, 5\/2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*v - 4*v - 20. Suppose 0 = 5*n + 7*n - v*n. Suppose j - 5*y = n, 2*j + 0*j + 3*y = 39. Is 15 at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/((-28)\/(-48)) - (-227 - -216)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -547 + 548. What is the smallest value in 0.2, 2\/15, i?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p + 60. Let m be o(0). What is the highest common factor of m and 150?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16394*-0.6\nAnswer: 9836.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*z - 3 = 63 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 12:45 AM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -82500 to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - 4*x**2 + 7*x - 5. Let a be -7 - -11 - (-5)\/(-1). Suppose 5*n + 15 - 166 = -s, -5*n + 4*s + 146 = 0. Let b be a*(n\/45)\/(2\/18). Calculate r(b).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -2.410994?\nAnswer: -0.4821988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6*-1*(5 + -4). Let f = b - -4. List the prime factors of (20\/5)\/(f\/(-19)).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 16 + 26 - 43. Let b(c) = -5*c**2 - 3*c + 7. Let s(h) = 14*h**2 + 9*h - 19. Let x(d) = 11*b(d) + 4*s(d). Determine i(v) + x(v).\nAnswer: v**2 + 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g - 10010*g**2 - g + 9948*g**2. Let n(s) = 3*s - 2. Let q(u) = 13*u - 9. Let l(a) = -9*n(a) + 2*q(a). Give l(c(k)).\nAnswer: 62*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in four thirds of a minute?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(4\/7)*l\/(l\/(l**(1\/3)*l)))\/(l*l**(3\/2)*l**6) assuming l is positive.\nAnswer: l**(-277\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-72 + 141 - 75)*(-3*s + 2*s + 0*s) in the form m + u*s and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l + 8. Let t be m(17). Calculate the common denominator of 123\/20 and 2 + -2 - (-75)\/t.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -2*c**2\/13 + 354*c\/13 - 352\/13 = 0.\nAnswer: 1, 176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/9 (b) -4 (c) 136 (d) -0.36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -4, 201 in decreasing order.\nAnswer: 201, 11, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 869904840*j**3 + 716317976*j**2.\nAnswer: 5219429040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 325249 is divided by 1396.\nAnswer: 1377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/834 and -43\/60?\nAnswer: 8340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1360397, 1360395, 1360393, 1360391, 1360389, 1360387?\nAnswer: 1360385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1021926?\nAnswer: 2, 3, 181, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3 + -0.4. Let q = 42118 - 168475\/4. Which is the biggest value? (a) -0.5 (b) 5 (c) w (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -677*w = -644*w - 2*f + 60, 18 = -18*w + 15*w - 4*f for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 831 = 5*j, 3*j = 4*j - 2*z - 159. Does 166 = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/4 - k**2\/4 + 65*k\/4 - 63\/4.\nAnswer: -(k - 7)*(k - 1)*(k + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - (-5145)\/(-2571) - -2. Let i = y - -21431\/5142. What is the common denominator of i and ((-7293)\/(-136))\/(-11)*((-1)\/1)\/(-1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 691?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, a: 1, z: 1}. What is prob of sequence hzha?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 0.3 (b) -1\/4 (c) 8\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 8*u - 132. Let x be t(16). Let o be x\/(-22) + (-1995)\/627. Let y be -1 + (5 - 2) + 0. Sort y, o, 5, 0.\nAnswer: o, 0, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -2, 0 in descending order.\nAnswer: 22, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*r**2 + r**2 - 2*r**3 - 2*r - 1 + r**2 - 5*r**4 - 6*r**2 to n*r + j*r**3 + o + k*r**2 + v*r**4 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/3 (b) -2 (c) 3 (d) 7\/15 (e) 53\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 25 - -4106422?\nAnswer: 4106450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*f**3 + 10*f**3 + f**3 - 25*f**3 - 2 + 3*f**3 in the form x + j*f + g*f**3 + p*f**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 218918097 less than -7.9162?\nAnswer: -218918104.9162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 - n**2 + n + 1. Let d be u(-2). Suppose -f + 7 = 2. Solve j - 6 - 3 = -3*m, d*j = -m - f for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26409676*v**2 - 4646 + v - 26409676*v**2 + 14026*v**4 wrt v?\nAnswer: 168312*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1093080407?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 264 - 257 - (2 + -2 - -9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 116355474 and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 22*h = -29, v + 3*v + 66 = -11*h + 9*h for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(6\/(-30)*5\/8). Let d be (0 - a)*(0 - 4\/4). Suppose -2 - d = 5*t. Let k(w) = w**2 + 4*w + 3. Calculate k(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 230 - 246 = v, -4*q + 2*v - 24 = 0 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*f**3 - 3*f**3 - 5*f**3 - 5*f + 0*f to the form t*f + v*f**3 + m + j*f**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7.53 + -7.9. Let n = c + -29.63. Let g = -29.6 - n. What is the nearest to -1 in -4\/3, g, -1\/5?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 PM and 3:18 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4104\/(-570)*(-10)\/4.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7 or 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + 11*r**2 - r - 6. Let l be a(-11). Which is smaller: l or 6?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 87*u**3 - 8*u**2 + 2*u**4 - 34*u**3 - 128*u + 16 - 21*u**3 - 16 = 0. Calculate u.\nAnswer: -16, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*s + 5*p, -4*s + 4*p - 2 = -46. Find the second derivative of -20*t**3 - 17*t + 11*t**3 + s*t**3 wrt t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68606 is divided by 54?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 3*x = 17402, 274*y + 87110 = 279*y - 5*x. What is the thousands digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(7\/6)*x)\/x**0)**(2\/21)*(x*x**(-2)\/x)\/(x\/x**(-7))*((x\/x**(-3))\/x)\/x**(2\/3) assuming x is positive.\nAnswer: x**(-470\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - -23)*(-2)\/(-12) + -7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2113 a factor of 28916405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -26 - 544. Suppose p + 38 = 7*r. Suppose r*l - 480 = 14*l. What is the least common multiple of l and 22?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-4)*(-32)\/108.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20d (base 16) in base 7?\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (5 + -9 + (-2 - -2) + 10)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 2948 = 4*n, 9*r = -5*n + 13*r + 3680. Suppose -21*w - n = -23*w. List the prime factors of w.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*d - 3. Let z(w) = w**3 - 4*w**2 + 1 + w + 4*w**2. Let p be z(0). Are p and d non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-254160)\/2446290*(0 - (-7)\/(-6)).\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.004 + 7\nAnswer: 7.004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5 + ((sqrt(468) + sqrt(13) - sqrt(13))*6 - 4*sqrt(208)).\nAnswer: 8 + 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155*j + 4*f + 7870 = 160*j, 3*f = 15. What is the smallest common multiple of 42 and j?\nAnswer: 11046","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of 7*c**6\/40 + 29*c**5\/60 + 25*c**2. Find the third derivative of s(g) wrt g.\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2491403 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 625 = -56*u - 0*u + 1262 for u.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + -933)*(-9 + 5). Let n(v) = 307*v**3 + v**2 - 3*v - 1. Let t be n(-3). Let d = t - m. What is d rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6573798 divided by -306?\nAnswer: 21483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 41557301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -4*u. Let p(n) = -n**2 + 211*n. Calculate p(w(o)).\nAnswer: -16*o**2 - 844*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10793833 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 3280*t**2. Let p(w) be the second derivative of w**4\/12 - 25*w. Determine y(p(c)).\nAnswer: 3280*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3134)\/(-9) + 134\/(-603) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 3861?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3423*j - 3429*j - 582 = 0 for j.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.079236846 rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Divide -46 by -23.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -8482278.44 rounded to the nearest ten thousand?\nAnswer: -8480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -777 divided by 6?\nAnswer: -259\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22442, 46154, 69866, 93578, 117290, 141002?\nAnswer: 164714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.024 less than 22534490?\nAnswer: 22534490.024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.962 rounded to two decimal places?\nAnswer: -0.96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*l**2 + 2 + 0 + 3.\nAnswer: 81*l**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 51726*r. Let u(i) = -20*i + 26. Give d(u(h)).\nAnswer: -1034520*h + 1344876","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -5, 7\/11342 in ascending order.\nAnswer: -5, -0.1, 7\/11342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 4545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 26*k**2. Let l(y) = -y**3 + 8*y**2 - 7*y + 22. Let s be l(7). Let i(x) = s - 43 + 2*x + 21. Determine u(i(c)).\nAnswer: 104*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -150418143\/7 or -21488307?\nAnswer: -150418143\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + 1 + -3 + sqrt(60)\/(1*sqrt(12)) - (-2 + sqrt(180))*2)*4)**2.\nAnswer: -640*sqrt(5) + 8064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142589286?\nAnswer: 2, 3, 7, 103, 10987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1676 - -1626. Sort -5, h, -3.\nAnswer: h, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1a6 (base 13) to base 2\nAnswer: 100110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41, 84, 133, 188, 249, 316?\nAnswer: 389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 726 = 34*u - 124 for u.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 95760 and 7920?\nAnswer: 1053360","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(2592)*-1 - sqrt(90)\/sqrt(80))\/(4*(sqrt(324) + 2*sqrt(324) + sqrt(324) - sqrt(324))).\nAnswer: -3 - 49*sqrt(2)\/288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**3*n**2 - a**3*n - 5*a**3 - 98*a**2*n**2 wrt n.\nAnswer: -4*a**3 - 196*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2398552 divided by -21.\nAnswer: 2398552\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 118020?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1493\/3 (b) 5 (c) -14 (d) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that k**4 + 1321*k**3 + 80903*k**2 + 572327*k + 492744 = 0.\nAnswer: -1257, -56, -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5958530 rounded to the nearest 10000?\nAnswer: -5960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j, 1 f, and 1 q when four letters picked without replacement from ufjtjdq.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3883\/7678 - 1\/2. Is 0 >= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3*(sqrt(2736) + 0 + sqrt(2736)) + ((0 + sqrt(2736))*3)**2 + sqrt(2736)) + -3.\nAnswer: -180*sqrt(19) + 73869","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2, 79, 248, 503, 838, 1247, 1724, 2263?\n\"Answer: -o**3 + 52*o**2 - 72*o + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 10) to base 8\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 663 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3814028 is divided by 897.\nAnswer: 881","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hi when two letters picked without replacement from ixhhhdhdirhdih.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -3*l + 60, 3 = 2*l - 1. Calculate the remainder when s is divided by (((-8)\/(-28))\/(80\/(-350)))\/(2\/(-24)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x\/((x**(-5)\/x)\/x))*x)\/x)\/(x\/(x**(-6)*x)))**(2\/45) assuming x is positive.\nAnswer: x**(-26\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {i: 2, e: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 9:06 AM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -380647, -380647, -380655, -380677, -380719, -380787, -380887?\n\"Answer: -h**3 + 2*h**2 + h - 380649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21\/95, -36, -0.4 in ascending order.\nAnswer: -36, -0.4, 21\/95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o + 11. Let s be q(-7). Solve -s*r = -2 + 14 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - -1 - 1 - -17) + 0. Suppose -4*n - 1 = -21. Let j = h - n. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4*s + 416 = 4*d, s = -3. List the prime factors of d.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 26 - 11 + 31)*(-12*f**3 - 6*f**3 - 8*f**3).\nAnswer: -1430*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.84 - -2.15. Let r = -1.6900436 - f. Round r to six decimal places.\nAnswer: -0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-126)\/(-4)*1\/54*2?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5d27 (base 14) in base 2?\nAnswer: -11111110101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-231)\/45 - 3532\/(-2649).\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5240 + 282*h**3 + 5233 + 5205 - 15678.\nAnswer: 282*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*n - 570 + 500 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 168308666.\nAnswer: 1\/168308666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 89725 (base 16) in base 15?\nAnswer: b1c21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, d: 2, s: 3, j: 9, u: 1}. What is prob of picking 2 d and 2 j?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 l, 1 x, and 1 a when four letters picked without replacement from {w: 2, d: 1, x: 4, a: 7, l: 2}.\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z**3 + z - 2*z**2 + 19*z**4 - 29*z**4 + 2*z - 2*z to o + i*z**4 + h*z**2 + s*z + d*z**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-1 - 0)) + (222 - 232)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 20\/(-8)*3222\/(-15). Let d = p - 299. Let m be -52 - -40 - -2*23. Calculate the highest common factor of m and d.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -126, -272, -432, -612, -818?\n\"Answer: -h**3 - h**2 - 136*h + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*v - 27*i - 63, 8*v - 29*v - 13*v + 19*i - 17*i + 106 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -4*w - 78. Determine n(-23).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of -53*d**5\/60 - 11*d**4\/8 + 41*d**2. What is the second derivative of o(q) wrt q?\nAnswer: -106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16339?\nAnswer: 16339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 13\/3 + (2 - 20\/15). Suppose w*q + 15 = 5*p - 45, -5*p + 62 = -3*q. What is the third derivative of p + 7*t**6 - 13 - 4*t**2 + 10*t**2 wrt t?\nAnswer: 840*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.53 - 5.31. Let y = -1.82 - -1.6. Let s = i + y. Which is smaller: s or -2\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -26 - 44*n - 5 - 9 + 39*n. What are the prime factors of f(-17)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 49*w - 5. Suppose 6*n - 5 = 5*n. Suppose -x = g - 3*g + n, -14 = -4*g - 2*x. Is 22 a factor of u(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(49\/56)\/((-5)\/10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 1, 7\/6, -0.5, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 177558.89119 - 177549. Let s = 9.89 - x. Round s to five decimal places.\nAnswer: -0.00119","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -107*g + 43*g + 0 + 56*g + 19. What is c(8)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3369 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from smmsmmsmsmsm. What is prob of picking 2 m?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -30746, -122982, -276710, -491930?\n\"Answer: -30746*h**2 + 2*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(343) - (0 + (sqrt(343) - (0 + sqrt(343) + sqrt(343)))) - ((1*sqrt(84))\/sqrt(12) + 1))**2.\nAnswer: -5920 + 130*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.448 times 38\nAnswer: 17.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) + -3)*-3 - (-2 + (sqrt(175) + 2 - sqrt(175))**2) - -4*(((-1 + sqrt(175))*-1)**2 - (sqrt(175) - (sqrt(175) - (-4 + sqrt(175)*-1)))**2).\nAnswer: -215*sqrt(7) - 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*x - 17*x = -1430. Let k = x - -1272. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - -2)\/((-4)\/(-8)). Let y be 3\/i + (-44)\/(-8). Let h(m) = -m**3 + 7*m**2 + 3*m + 13. Let v be h(y). What is the greatest common factor of v and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1505995.675 plus 114?\nAnswer: -1505881.675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/2943751 and -53\/187899.\nAnswer: 8831253","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4106 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.503 to 0 decimal places.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*a - 14*a + 104. Calculate the remainder when a is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12\/(-13))\/6 + (-41)\/(-13). Find the common denominator of r + -1 - ((-150)\/(-21))\/(-5) and 29\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5834800 and 11086120.\nAnswer: 110861200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 - 10*w + 4. Let c be x(6). Let b = 22 + c. Suppose -10 = 7*p - b*p. Is 1.6 < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -21*z**4 - 11*z**2 + 309*z + 4. Let i(g) = g. Let b(n) = -i(n) - j(n). What is the second derivative of b(q) wrt q?\nAnswer: 252*q**2 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130232201 (base 4) to base 6.\nAnswer: 2304425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1404, -4, 364.\nAnswer: -4, 1, 364, 1404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -908911012 and -908911011 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -306.3 + 306. Let q be 4\/(-18) + 4\/18. Let m(p) = -p + 1. Let s be m(6). What is the closest to q in -0.5, s, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1794 - 1840 - 84 + 38 - 1524)*(-3 - d + 3).\nAnswer: 5204*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g**2. Let v(r) = -65403*r - 1183. Let m(q) = -166*q - 3. Let z(o) = 2366*m(o) - 6*v(o). Determine z(f(a)).\nAnswer: -676*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 64 + -143. Let t = n + 76. Sort 0.09, t, -1, 2\/7 in decreasing order.\nAnswer: 2\/7, 0.09, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 540 - 5944\/11. Let h be (-27)\/(-21) - 4\/14. Is h bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9.4, 4\/5, -508, 2.7?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1294820625 to the power of 1\/2, to the nearest integer?\nAnswer: 35984","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wl when two letters picked without replacement from {b: 2, d: 1, a: 1, q: 1, w: 2, l: 2}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*i**3 - 2*i + 19 wrt i.\nAnswer: 120*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1352\/(-6) - (-4)\/(-6). Calculate the common denominator of 1 - 0 - (-86)\/(-8) and -1 + (x\/20)\/1.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -2 + -2 - (5 + -7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -6499453?\nAnswer: 12998906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 8*a**2 + 1. Let q be h(1). Let u(f) = q - 6 - 1. Suppose 11 = 3*r + 3*x - 4, 8 = r + 2*x. Let s(v) = v + 1. Calculate r*s(g) - u(g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 5*t - 1. Suppose 78*y - 90 = 60*y. Calculate the remainder when a(5) is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.0535, 0.3, -1 in decreasing order.\nAnswer: 0.3, 0, -0.0535, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 7 + 27. Suppose -2*x = -3*q, 4*q - d*x + 7 = x. Let y be (-2)\/(-6 - (2 - q)). Which is bigger: y or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1588439594?\nAnswer: 2, 7, 113459971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - 11*d + 15. Let g be k(10). Suppose a - 177 = -g*r, -72 = -2*r + 2*a - 3*a. Suppose 1315*s = 1317*s - 72. Which is greater: s or r?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -1341801\/4, 1\/4, 0.5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 261624?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3999922204 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -49996.52 to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3233952, 6467907, 9701858, 12935805, 16169748, 19403687, 22637622?\nAnswer: 25871553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + k + 52. What is the remainder when 25 is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2040*r - 2 + 10*r**3 - 9*r**3 + 7*r**2 - 8*r**3.\nAnswer: -7*r**3 + 7*r**2 - 2040*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -221, -433, -655, -893, -1153?\nAnswer: -1441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 113.96 + -114. Suppose -3*a = -5*b + 5, 11*a - 12*a - 2*b = -13. What is the closest to -2 in a, -1, w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 8:32 PM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 9 + 6)*(2*m + 5*m**2 - m**2 + 0*m) to l*m + s*m**2 + j and give l.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate j**2*u**3 - 1210*j**2 - j*u**3 - 2*j*u**2 with respect to u.\nAnswer: 3*j**2*u**2 - 3*j*u**2 - 4*j*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 6:17 AM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.54 times 0.910792?\nAnswer: -4.13499568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1295490787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 389160 and 3648?\nAnswer: 59152320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/(-2 - -1))\/1. Let f be (2\/(-6))\/(1\/z) + 4. Suppose 4*d - f*d = -6. Is d a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*s**2 + 48*s**2 + 44*s**2 + (2*s - 3*s - 2 + 1)*(3 - s - 3) in the form b*s + p*s**2 + g and give p.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*k - 12*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 1:48 PM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {e: 10, f: 2, y: 1, s: 2, u: 5}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, t: 4, g: 2}. What is prob of picking 2 g?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 664758 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wnw when three letters picked without replacement from wnnwnwn?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.4, 0.5, 3.09?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -3*q**2 + 5*q - 7. Let x(m) = 7*m**2 - 4*m + 1. Let v(t) = 11*t**2 - 6*t + 1. Let p(u) = 5*v(u) - 8*x(u). Calculate -3*d(g) + 7*p(g).\nAnswer: 2*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 109106524359 + -109106524974.000000245. Let v = u - -615. What is v rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -2*y + 799, -3*y + 2*c + 96 = -1150. Calculate the highest common factor of 1751 and y.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 p when three letters picked without replacement from {p: 1, o: 17}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of -1\/6*w**4 + 3*w**2 - 1\/6*w**3 + 0*w - 1\/10*w**5 + 0 - 17\/120*w**6. Is g(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w + 10. Let p be v(14). Let j be ((-3)\/p)\/(6\/16). What is the third derivative of 0*x + 0*x + x**4 - 7*x**j + x**4 wrt x?\nAnswer: 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 2*a - 7 = 0, -5*a + 14 = 9622*s - 9621*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 4199*f**3 - 3*f**2 - 15*f - 5. Let i be l(7). Round i to the nearest one hundred thousand.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 t when three letters picked without replacement from {a: 1, t: 6, z: 8}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -213763, -427527, -641291, -855055, -1068819?\n\"Answer: -213764*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 15.2 (b) -2\/3 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*a - 6453 = -3*o + 47*a, 4300 = 2*o + 2*a. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, b: 1, f: 2, d: 10}. What is prob of sequence dbd?\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10440 - -20493. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i**2 + 45*i**3 + 114*i**3 + i**2 + 2*i**2.\nAnswer: 159*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -2341114?\nAnswer: 2341120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 77013.97 hours in microseconds?\nAnswer: 277250292000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of i**2 - 11*i - 191. Let v(p) = -p**3 + 5*p**2 + 13*p + 4. Let d be v(7). Let s(r) = -r + 6. Determine d*u(j) - 5*s(j).\nAnswer: -j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 186949033 from 5690.\nAnswer: -186943343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -51.93 - -52. Let a = -0.03 - q. Are -1\/18 and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 2*v = -3*h - 95, -2*v + 37 = -h. Let g(n) = -n**2 + 21*n - 26. Let m be g(v). What is the greatest common factor of 72 and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -4. Suppose q*w = -8, -d - 2*w = w. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 5*w + 115. Let r = w - -81. List the prime factors of r.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 4*y - 10, 5*y + 0*y = -2*k + 19. Solve -5*l - m + 3*m = -6, 5*l - 4 = y*m for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 111 and 148?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -y - 21. Let x = -5 - y. What are the prime factors of 1\/x*(1 + 5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2688 - 2687.99. Let n = -7 + 11. Which is the nearest to 0? (a) n (b) l (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.519 or 8\/115?\nAnswer: -0.519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -1 + -75 + 28 + -37?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-8)*m*m*m**(2\/9))\/(m**(-2\/19)*m*m**0*m) assuming m is positive.\nAnswer: m**(-1312\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1987405492?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6*((-18)\/(-21))\/((-18)\/28). Which is smaller: k or 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 10:46 AM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 206898 + -358858. What is t rounded to the nearest one thousand?\nAnswer: -152000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xthh when four letters picked without replacement from {t: 3, x: 2, h: 5}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 0*p = -10, 4*p = -2*h - 14. Suppose -h*s = -2 - 28. Does 10 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 + l + 4. Let q(a) = -3*a**2 + 25. Let h(m) = q(m) - 5*r(m). Give h(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -62 + 192. Let q = 195 - k. Let f = q + -63. Let b(s) = -3*s + 1. Determine b(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 547537302.\nAnswer: 2, 3, 13, 109, 21467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + -10.8. Let o = 9 - f. Let h = -5.846 + o. What is h rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 140.467 - -0.633. Let y = -16.1 + m. Let p = y - 124.999949. What is p rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*w = -28*w - 3*t - 2490, 5*w - 3*t - 4148 = 0. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 - -1 - (-2013 - -1995) - (-1 - -65).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -22*j**2 + 783*j. Let q(r) = -4*r**2 - 5*r. Let u(p) = 2*l(p) - 10*q(p). Factor u(d).\nAnswer: -4*d*(d - 404)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**3 - m**3 + 0*m**3)*(-2*m - m + m)*(-m + 3*m + m).\nAnswer: -12*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 18\/(-1 - 2) + -1. Let f = 7 + r. Suppose 3*o + 0*o - 9 = f. Calculate the remainder when 8 is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-43)\/((-7095)\/2079)*4\/18?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 126 = -4*u - 120, 5*u + f = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -392 + 392 + 10*j - 41*j.\nAnswer: -31*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -247.786 rounded to the nearest 10?\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 20 = -3*n. Let r(t) = t**3 - 4*t**2 - 2*t + 6. Give r(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 38166\/10 - (-8)\/20. Suppose -7*n = 4*n - w. Round n to the nearest 10.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/(-5)*55\/(-22) + -2. Suppose 3*n + 263988 = -2*f, -t*f + 5*n + 659980 = -9*f. Round f to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 2*m - 3*m + 19, 49 = 3*z - 5*m. Suppose 4*p - z = -0. Solve u + 5 = p for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1 + 1*1*2904 - -7.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6108211 to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5157312 millilitres to litres.\nAnswer: 0.0005157312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -24*m**2 - 27*m**2 + 3*m**2 + 12*m**2 - 80*m + 4 - 5*m**2 = 0. Calculate m.\nAnswer: -2, 2\/41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41010143 (base 5) to base 8.\nAnswer: 1202136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1014175 and 52483619.\nAnswer: 53497794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 + 15. Let s(r) = -3 + 5*r - r - 3*r. Give s(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - c + 24 = -0*x, 12 = -2*x - 5*c. Let d(v) = -v**2 - 9*v - 9. Give d(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 7*c**2 + 7*c - 3. Let q be i(6). Let m be (-8)\/q + (7 - 4). What is the closest to -2\/3 in -3, m, 2\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 4*a**2 + 5*a - 2. Suppose -6*v + 7*v = -4. Is 14 a factor of f(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 5*x = -17, 5*x - 3 = 5*k + 2. Let z be (-559775)\/(-600) - k\/(-12). Let q = z + -936. Calculate the common denominator of q and -13\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-15) + 548\/20. Suppose 3*t - 3*p = -y, -5*p - 12 = 3*t - 1. Let o(i) = 3*i**2 + 9*i + 17. Is 20 a factor of o(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, e: 6}. Give prob of sequence mmm.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2617\/165 + -1027\/66. What is y in 1\/2*y**3 - 1\/5*y**4 - x + 1\/2*y**2 - 1\/2*y = 0?\nAnswer: -1, -1\/2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 3 - 1)*(2 - 2 - 6)*(543*s**2 - 231*s**2 - 253*s**2 - 2) to the form h*s + n + t*s**2 and give n.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - i + 3*i + 15 = 0, -3*a + 3*i + 12 = 0. Let u(t) = -4 + 7*t + 5*t - 3 - 3*t - t**2. Is u(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6717*x - 1247755 - 1286917 = -15914*x for x.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11315592 greater than or equal to 11315591?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29444.\nAnswer: 2, 17, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29.053 + 0.053. Let h = -41 - c. Let u = h + 15. Which is smaller: u or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 162*k - 1 + 165*k + 163*k + 175*k - 682*k. Let w(m) = 2*m - 1. Give o(w(g)).\nAnswer: -34*g + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (219 - 2) + -40 + 39 and 24.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)\/sqrt(3))\/sqrt(12)*4.\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1399, -22, -2\/7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 51 - 48. Calculate the common denominator of (-1 - a\/(-9))\/(16\/(-106)) and 31\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -9*s**3 - 4*s**2 - 2*s + 4. Let v(c) = -8*c**3 - 3*c**2 - c + 3. Suppose 3*z - 15*h + 6 = -17*h, -4*h - 8 = 5*z. Calculate z*v(g) + 3*l(g).\nAnswer: 5*g**3 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 17553 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i**2 + 32*i + 173. Give n(22).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + -0.1. Let g = -0.1 + m. Let d = 7.7 - 8. Which is the third biggest value? (a) g (b) 0.5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 186847 + -186751.953. Let j = 95 - c. What is j rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3447*n**3 + 8 - 2766*n**3 - 9 + (4 - 4 + 2*n)*(-n**2 + 2 - 2).\nAnswer: 679*n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vsv when three letters picked without replacement from vsv?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -5*q**2 + 255590*q + 15353400 = 0?\nAnswer: -60, 51178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 8 = -88. Let k be (-133)\/3 - (-8)\/d. Let o = k - -77. Does 9 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19656521 to the power of 1\/3, to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 69 + 73 = -2*u, -3*t = -6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 u when three letters picked without replacement from {u: 4, s: 1, g: 3, j: 3}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 6*f**2 - 30*f + 66. Let l be u(11). What is the greatest common factor of 14 and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 3*a**2 + 3*a - 14. Let j(l) = -5*l**2 - 5*l + 27. Let o(v) = 4*j(v) + 7*s(v). Let r be o(0). Let h be -4*(7\/r)\/7. Which is smaller: 1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3561*s + 361500 - 53676 = 657*s for s.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2*y = 2*s - 39, 4*y - 36 = -4*s. Let h = -2028 - -2091. Calculate the greatest common factor of s and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/65648 and 97\/32.\nAnswer: 131296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -53*k + 3*k - 39*k to the form t*k + i and give t.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*z**5 + 15*z**4 + 1146*z**3 + 2838*z**2 - 13815*z - 15525 = 0. Calculate z.\nAnswer: -15, -5, -1, 3, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -2*x - 157. What are the prime factors of 4\/7 + x\/(-7)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 14547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 68 and 4.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -42252*u**2 - 1006*u + 503. Let m(k) = 503*k**2 + 12*k - 6. Give 503*m(r) + 6*s(r).\nAnswer: -503*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 240 = l. Let i = 211 + l. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325098 to the power of 1\/2, to the nearest integer?\nAnswer: 570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -479 + 172. Let y = z - -306.6. Sort 0.11, y, 0.\nAnswer: y, 0, 0.11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.31, 3\/11 in decreasing order.\nAnswer: 3, 0.31, 3\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 - -36. Calculate the least common multiple of 8 and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25217, -49373, -73543, -97727, -121925, -146137, -170363?\nAnswer: -194603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000039955 rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1124291?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 198555 and 366?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5127*a - 2114*a - 1704*a.\nAnswer: 1309*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -5*o**2\/6 - 7739765*o\/6 = 0?\nAnswer: -1547953, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(130)*1*2)\/((2*sqrt(90) + sqrt(90))*5))**2.\nAnswer: 208\/2025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 5*f**3 + 22*f**2 + 97*f - 515. Calculate p(6).\nAnswer: 1939","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1, -6, -2, -4\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -2*d + 6*d - 26, 86 = 5*f + 3*d. Let v = 25 - f. Is (-4 + v)\/((-3)\/(-3)) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - -10. Let o be (-9)\/l*(-14)\/(-6). Is -1 at most o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 7 - 1)*((-3*p**3 + 3*p**3 + 3*p**3)*(1145*p + 1146*p - 2227*p) - 2 + 2 + 2*p**4) to r*p**3 + o + t*p**2 + q*p**4 + z*p and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 4*d + 3. Let b(l) = -l - 1. Let k(x) = 3*b(x) + f(x). Let v(h) = 73*h. Determine k(v(m)).\nAnswer: 73*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 + 10*a**2 + 17*a + 8. Let c be i(-8). Let b be (-3)\/(-12) + ((-2)\/8 - c). Suppose 2*v - 11 = -1. What is the biggest value in -1\/2, v, b, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 28 = 5*o. Let x = -8 + o. Let g be ((0 - -2)\/2)\/(-1). Which is the third biggest value? (a) x (b) g (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-493)\/580*-10)\/((-1)\/(-2)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ezzhgfbh. What is prob of sequence zgf?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a**2 + 10*a + 5. Let r(u) = u**2 - u + 1. Let w(s) = k(s) + 3*r(s). Calculate w(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-14))\/((1365\/14)\/13)\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -4, -8, -3, 1, 59 in decreasing order.\nAnswer: 59, 4, 1, -3, -4, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 5*g + 7, -2*g + 2 = -g - 4*s. Let i be 5\/g*(-24)\/15. Solve -3*b = -i*b - 3 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -34758445\nAnswer: -17379222.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3 = -0*d + 2*v, v = 3*d - 9. Suppose -6 = -5*u - 2*x, -3*x = 2*x + 10. Suppose d = t + u. What is the remainder when 2 is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**2*n\/(n**(-6)*n))**(-11) assuming n is positive.\nAnswer: n**(-88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 376 divide 117592046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-99)\/288)\/(14\/840) + 20?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 378617, 378581, 378545, 378509, 378473, 378437?\n\"Answer: -36*d + 378653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 386761 (base 9) to base 4\nAnswer: 321102013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.11 and 0.2.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 2*u + 11992 = 92294, u = -5*c + 100385. What is the thousands digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -171 + 12. Suppose -3*t - 3*m + m = -48, 0 = 5*t + m - 87. Calculate the remainder when i is divided by t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -499*m + 18741. Calculate y(34).\nAnswer: 1775","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wkz when three letters picked without replacement from zzzzzzzzwzwkk?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -110101000101111 (base 2) to base 13\nAnswer: -c4b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 289861 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-1) - 60\/(-16). Let u = z - 2. Which is the nearest to 1\/4? (a) -1 (b) 2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1939742?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14*i*o**2*v**2 + 3*i*o**2*v + i - 369*v**2 - 2 wrt o.\nAnswer: 28*i*o*v**2 + 6*i*o*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 411 - 208. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from nininiiinii?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = 4*d + 1111 - 1037, -5*y + 36 = -3*d for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 1:32 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n. Let p(y) = 2*y - 18. Let d(k) = p(k) - 2*t(k). Let m(r) = 2*r - 9. Let h be 0 - 130\/(-14) - 78\/273. Give h*m(l) - 4*d(l).\nAnswer: 2*l - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 2)*(-2*w + w + 0*w - w - 1 + 1 + (-w - w + 5*w)*(-7 + 3 + 3) - 6*w + 4*w - 8*w) + 2*w - 16*w + 7*w.\nAnswer: 23*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -202150\/3 + 68377. Let l = 29951\/30 - x. Find the common denominator of -41\/428 and l.\nAnswer: 2140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 3*d**2 - 2*d - 7. Let j(p) be the first derivative of -p**3 + p**2 + 6*p - 1043. Give -5*b(o) - 6*j(o).\nAnswer: 3*o**2 - 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -462 + 467. Suppose -m + 2 = n, 10 = -5*m + 4*m + j*n. Sort -60, -2, m, -3 in decreasing order.\nAnswer: m, -2, -3, -60","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 191382 - 191345 + 1041*g**2 - 1040*g**2.\nAnswer: g**2 + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 0*f = -213. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 304*c**2*q**2 - 106598*c**2*q - 163544*c*q**2 + 15*c + 8*q + 4 wrt q?\nAnswer: 608*c**2 - 327088*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -1. Let n = 34 + -32. Let t(w) = 6*w - 2*w - n*w. What is -p(q) + t(q)?\nAnswer: 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 9 = 3. Let f = g - 4. Suppose f*n = -6, 5*t - 3*n + 0*n - 429 = 0. Calculate the greatest common divisor of 12 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 321911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.6, -19, -938, -1 in decreasing order.\nAnswer: -1, -1.6, -19, -938","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 - 124*o - 2536. Let u be q(-26). Calculate the greatest common divisor of 484 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -120, 42, 2\/5, -0.1, 2 in ascending order.\nAnswer: -120, -0.4, -0.1, 2\/5, 2, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 301223 (base 4) in base 12?\nAnswer: 1a0b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 6*k**2 - 3*k. Determine a(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**3 - 60*k - k**3 + 17*k**3 - 2*k**2 + 60*k.\nAnswer: 15*k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4c0b0a (base 13) in base 4?\nAnswer: 12332232031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 36889 to the power of 1\/2, to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2*5)\/(6\/(-4062)). Let v = d - -15522. Suppose v = -s - 1048. Round s to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4*q + 3 = 0. Let t be q - (-8 + 3)*1. Suppose 4 = -2*h - t. Let y(v) = -4*v - 6. Calculate y(h).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14897\/4 + 3745. Calculate the common denominator of y and -43\/146.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = 10*b - 5*b - 40, 0 = 2*b - 4*a - 22 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - 48*o + 399. Calculate p(9).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 388 - 9.\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/5 (b) 15 (c) 0.2 (d) 82727\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-8)\/20)*-1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (4 - (13 + -10)) - 5.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 261*i = 254*i + 91. Solve -3*m - 5*p = i, 4*m + 3*p + 6 + 4 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -318*n**2 - 102*n**2 + 48*n**2 - 104*n**2 - 116 wrt n.\nAnswer: -952*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5551 - -2?\nAnswer: 5553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*d**5 - 4726*d**4 - 2*d**3 + 2*d**2 + 28*d - 3.\nAnswer: -120*d**2 - 113424*d - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 231\/1340?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3182 and 12.\nAnswer: 19092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 9:06 PM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 5*u + 30 = 0, 3 = -2*s - u + 21. Suppose 7*l - s*l + 2172000 = 0. Let d be l*(3 + (-44)\/(-2)). Round d to the nearest one million.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 6*c - 2 = 4*c, -2*w - 3*c = -3. Suppose j = -2*v + 38, w = j + 2*v - 6*v - 44. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (62\/(-44) - -2) + -34*(-85)\/(-31790)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 6:05 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 1)*(1 - 1 - 2*o**3) + 9*o**2 - 6 + 2*o**3 - 23330*o - 6*o**2 + 23306*o.\nAnswer: 4*o**3 + 3*o**2 - 24*o - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1166 + 1263. Let f be 3*(-8)\/108 - (-55880)\/36. What is the greatest common divisor of o and f?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 AM and 3:29 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(1377) + 0)*3 - (5 + -4 + sqrt(1377))).\nAnswer: -3 + 54*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkks when four letters picked without replacement from ksskks?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 3*r - 39, 3*r + 1 + 5 = 0. Suppose 2*y + q = 2*q + 13, y = -q - 1. Calculate the remainder when o is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13875, 13886, 13897?\nAnswer: 13908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 45\/(-27) + 2\/3. Suppose i = 4*i + 6. List the prime factors of 2 - (2 + b) - i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.63 times -2.6?\nAnswer: 1.638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 - 6*o + 8. Let g = -180 - -182. Suppose -4*b = -g*d + 16, 0*d + 3*d = -5*b + 13. What is r(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 6\/3 + 2 + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*a = 5*b - 40, 11*b - 15*b - 2*a = -2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010 + 1001101101110110100100?\nAnswer: 1001101101110110011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 3966*n**2 + 18*n + 115. Is w(-15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9573*c**2 + c - 9868*c**2 - 10837*c**2.\nAnswer: -30278*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - (sqrt(88)\/sqrt(8) + -2)) + 4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1974*h + 8*h**3 - 1977*h - h**2 - 15*h**4 - 1 - 8*h**3 to the form r*h**4 + q*h**2 + o + u*h**3 + a*h and give r.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.14019 months in millennia?\nAnswer: 0.0002616825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 424*m + 747*m - 8027 - 9538 = 0 for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**3)**12 assuming u is positive.\nAnswer: u**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 4*l. List the prime factors of (-1 - -8) + l\/3.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4*(-14)\/(-9) - 12\/54. What is the hundreds digit of 40\/u*(-4 + 123\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 846 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1750, 2, 4, 1, 0 in increasing order.\nAnswer: 0, 1, 2, 3, 4, 1750","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.01 (b) -3\/2 (c) 0.5 (d) 43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 12 = 5*p. Suppose -90 = 5*d - 5*t, p*d - 4*t - t = -71. Let f = -19 - d. Solve -20 + f = -4*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**2 - 10*t**3 + t**2 - 651*t + 1283*t - 626*t.\nAnswer: -10*t**3 + 6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 132123 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - ((2 - 5 - 1) + 8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -4192?\nAnswer: 3\/4192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -20*o**2 - 59*o. Let q(a) = 694*a. Determine q(b(g)).\nAnswer: -13880*g**2 - 40946*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 883, -11, 0.\nAnswer: -11, -2, -1, 0, 883","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 33\/10, 2\/27 in increasing order.\nAnswer: -13, 2\/27, 33\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 5 = -2*h. Suppose h*n = n. Calculate the smallest common multiple of 16 and 1 - (-7 - n)*3.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 493 by 5.\nAnswer: 493\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 + 12*l - 22. Let i be m(10). Put -4, i, -1 in increasing order.\nAnswer: -4, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 10.94. Let g = x + -0.09. Let c = 0.0299995 + g. Round c to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63985 and 201.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 8970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 + 32*d**2 + 12*d - 2171. Determine c(30).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 times 0.0849325\nAnswer: 0.00509595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -14 + -279?\nAnswer: -28d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 + 25. What is the highest common factor of h and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-4) - (-84)\/24. Let m(w) = -w**3 + w**2 - 5*w + 2. Determine m(h).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(88)\/(sqrt(8) + 3*sqrt(8)).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -4*n. Let o(v) = 7*v. Let r(f) = -3*o(f) - 5*w(f). Let c(s) be the first derivative of -12 + 0*s**2 + 1\/3*s**3 + 0*s. Determine r(c(g)).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.5 and 11862.\nAnswer: 17793","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1865 + 1840 = -5*k, 0 = 4*z + k - 9 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*b + 3*b. What is the tens digit of b - (-200)\/(5\/1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -21844?\nAnswer: -21844","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t**(-12)*t)*t**(-8)*t*t**(-6)\/t*t**(-2) assuming t is positive.\nAnswer: t**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oci when three letters picked without replacement from ckwoiiwkiw.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 593911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b + 3, -908*n + 3*b + b - 4 = -904*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 9) to base 6.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.8 - 5.4. Let h = -4 - b. Suppose 2*l + 0*l = -6. What is the second smallest value in h, -1\/6, l?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46600 and 3200?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -4 + 0*a + a**3 + 4 - 2*a - a**2. Let f be v(2). Suppose 3*l - 5 = 4*j - f*l, 6 = -3*j + 3*l. Solve j = 2*u - 9 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -0.173\nAnswer: -0.692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 - 8*o + 12. Let b be z(-9). Suppose -b*q = -g - 13, 0 = -4*q + g + 10 + 6. Solve -5 = -3*x + x - 5*l, q*x + 4*l = -3 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 369*c - 368*c - 2*v, -3*c + 16 = -v for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1089 = 17*k + 239. Suppose -34 + 19 = -3*t. Calculate the least common multiple of k and t.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1284)\/(-54) + (-2)\/(-9)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -131*-388013\nAnswer: 50829703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -11) + (-8 - -9 - (4 + -1))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*i - 42 = 8 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - 2\/4)*(2284988\/(-6) + -8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and 379.7.\nAnswer: 384.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2207591 to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 10:41 AM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3 + (4*sqrt(2299))**2 + 1 + -5)*4.\nAnswer: 735660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 142682622*x**4 - 159847968*x**2.\nAnswer: 3424382928*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -383 + 391. Let g(v) = -7 + 5 + v - x. Calculate g(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -73 - -373?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2318\/(-16226))\/(3\/18*6*(-2)\/50)?\nAnswer: 25\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 59*k - 57*k. Let y be 539\/35 - (-2)\/(-5). Suppose -2*n + y = k*q - 17, -3*q + 4*n = -46. Is 5 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5339.5 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, v: 2, p: 1, t: 2, i: 2}. Give prob of picking 1 t and 1 v.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*s + 9438 = 3*s. Is 39 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 3*m = 4*u + 20, 0 = -5*m - 2*u + 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(6*(sqrt(432)*-1 - sqrt(432)) - -3*((sqrt(432)*-2 - sqrt(432)) + sqrt(432))))**2.\nAnswer: 1259712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -11 - 4*o**2 - 5*o**2 - 13*o - 13*o**3 + 12*o**3. Suppose 3*a + 17 = 3*s - 19, -5*s = -2*a - 36. List the prime factors of z(a).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(363) + -1 + 3)*6)**2 + (sqrt(15)\/sqrt(20) + sqrt(24)\/sqrt(8)*-3)**2).\nAnswer: -52923\/4 - 1584*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3.2479518+-1841.3\nAnswer: -1838.0520482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3.266 and 1935863.\nAnswer: 1935859.734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+-573.5\nAnswer: -573.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*d**2 - 13*d**2 - 26*d**2 - d**2.\nAnswer: 17*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000074217877 rounded to 7 decimal places?\nAnswer: -0.0000742","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.7*135.\nAnswer: -94.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 513559?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -93*a**5 + 21951*a**4 - 1406868*a**3 - 8994240*a**2 + 2305389600*a - 74358000 = 0. What is a?\nAnswer: -34, 1\/31, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138071247 is divided by 112.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3393, -13665, -30859, -54975, -86013?\n\"Answer: -3461*u**2 + 111*u - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -m**5\/2 - 27*m**4\/8 - 49*m**3\/8 - 9*m**2\/4 + m = 0.\nAnswer: -4, -2, -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -7 - 7291*q - 3 + 3 + 7297*q - 1. Let h(a) = 5*a - 8. What is 2*g(r) - 3*h(r)?\nAnswer: -3*r + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1519 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -2145611 smaller than -2145602?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34756 + -8758523\/252. Let f = 1\/36 - l. Let w = f + 1019\/42. Calculate the common denominator of w and -13\/7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 14659 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of f**9\/7560 + f**6\/360 - f**4\/12 - 2*f. Let r(o) be the third derivative of n(o). Find the second derivative of r(w) wrt w.\nAnswer: 24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-105))\/(1*8\/(-12))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1307 = -9*h - 272. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 1 = 4*s, 0 = s + 5*q + 47 - 41 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 160 divide 538319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 + -23. Suppose 5*y + 0*j - j + 3 = 0, -s*y - j = -3. Factor 2\/9*x + y - 2\/9*x**2.\nAnswer: -2*x*(x - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -3*x - 9. Let r be q(-4). Suppose -3*o = -3*b - 1899, -r*o + 1594 = 3*b - 311. Suppose 2*k + l - 6*l - 249 = 0, -5*k + o = -l. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -o**4 + 34*o**3 - 64*o**2 = 0.\nAnswer: 0, 2, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -330 + 330. Suppose b = i + 36*i - 43438. What is the thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45 - 113 - 41 - 2*d.\nAnswer: -2*d - 109","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.79 + 1.89. What is the third smallest value in h, 1\/3, 0.2, -0.11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**2 + 149*q - 1422 = 0 for q.\nAnswer: -158, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42, -94, -156, -234, -334, -462, -624, -826?\nAnswer: -1074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 - n - 15)*(-4 - 2 + 5) + 0*n - 5*n + 3*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*m + 6*m**4 + 3*m**4 - 5*m**4 wrt m.\nAnswer: 48*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q**3 - 6*q**2 + 3*q - 4. Let m be k(4). Let o = m - 29. Let v(z) = 20*z**3 + z**2 - 1. What is the remainder when v(1) is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*k + 8811 = 44*k. Find the common denominator of (-3)\/(-4)*k\/(-99) and (-15)\/(-6)*1\/(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3*t**3 - t**2 + 2*t - 1. Suppose -51 - 81 = -3*q. Suppose q*d = 48 + 40. What is u(d)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114\/285 - 27\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*s = -29*s - 183. Suppose 65*v - 40 = s*v. Solve -4*j = -v*j + 18 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1840670?\nAnswer: 2, 5, 13, 14159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14931 and 4347?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -6058387.5 and 6184221.\nAnswer: 125833.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-66 - -76 - -64) + -57.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 14*g + 495. Let r be k(-33). Solve -44*a - d = -43*a - 5, 3*d = 5*a - r for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of a**6\/240 - a**5\/20 + 3*a**4\/2 - 8*a. Let k(l) be the third derivative of t(l). Let r be k(2). Solve r = 4*h + 17 + 3 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(144) + sqrt(144)*-1 - sqrt(144)) + sqrt(144))*-6)\/(sqrt(21)\/(sqrt(7) - (1*sqrt(343) + sqrt(7)))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -783*o - 641*o + 58618 = -871*o for o.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002561352 rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 988699 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/4 - (3645\/(-20))\/9. Suppose 3*w - 53 = 2*i, 5*i - 12 + 32 = 0. Solve 4*r = -o + a, -3*r + r = 5*o - w for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1522 * 1\nAnswer: 1522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50487, 48643, 45575, 41283, 35767?\nAnswer: 29027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8.191 + -8.32. Let t = -0.113 + 0.05. Let g = k - t. What is g rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 393 divide 27129969?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 17*a + 1. Let x(c) be the second derivative of -17*c**3\/6 - c**2\/2 + 752*c - 3. Give 4*w(z) + 3*x(z).\nAnswer: 17*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(20 - (32361\/735 + -24))\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122764 rounded to the nearest one thousand?\nAnswer: 123000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -19596.54 to the nearest 100.\nAnswer: -19600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**5 + 2*y**5 - y**5 + (4 - 4 - 2)*(3*y**5 - 3*y**5 + 2*y**5).\nAnswer: -y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*u = 17*u - 43*u + 61986. What is u rounded to the nearest one hundred?\nAnswer: 20700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 + 127 = 5*d. Suppose 2*h - d = 3. Let c be (5\/(-2))\/(-5)*h. Solve k - 3 = -5*o + 10, c = 5*k - 3*o for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 - 3*b**2 - 3*b - 2. What is v(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -16*r - 2. Let u be i(-2). Suppose -2*b = -b - u. What is the units digit of -4 + 4 + (b - 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 126680482*a**4 - 79853998*a.\nAnswer: 1520165784*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 9 = -4*n. Suppose n*r + 4 = 7*r. Let b(y) = 5*y + r - 5 - 1 + 2. Determine b(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 14, 2\/15, 35 in increasing order.\nAnswer: -5, 2\/15, 14, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2\/5, -1251 in decreasing order.\nAnswer: 0, -2\/5, -1251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 1 + 11*l**2 - 3*l**2 - 1 to the form u + b*l + d*l**2 and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 2*h + 55 = -0*w, 0 = 4*w + h - 31. Suppose -w*s + 3*s - 1800000 = 0. What is s rounded to the nearest ten thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 176 and 572.\nAnswer: 2288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -26*a**2 - 6*a - 3. Let f(u) = -27*u**2 - 4*u - 4. Let b(k) = -3*f(k) + 2*p(k). Let x(i) be the second derivative of -i**3\/3 + 70*i. What is b(x(l))?\nAnswer: 116*l**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/(-4)*(11 + 4 + 2291\/(-145)). Factor -64\/9*n + 1\/3*n**j - 44\/9.\nAnswer: (n - 22)*(3*n + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/20)\/(18*(-20)\/160)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4727)\/203 + 19)*7?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*n = -22*n - 514. Let g = -112 + n. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1171 + 515. What is the highest common divisor of 6 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -99 - -101. Let p(n) be the third derivative of -1\/6*n**4 + 1\/3*n**3 + 0 - n**2 + 0*n. What is p(l)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 - -24. Suppose -2*s + 31 = w*a, -2*s - 4*a + 36 = -0*s. Calculate the smallest common multiple of s and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -4\/507, 1, 3\/17, 4, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of 0*s + 21\/2*s**2 + 63 - 3\/2*s**4 + 0*s**3 - 7\/5*s**5. What is the second derivative of n(b) wrt b?\nAnswer: -84*b**2 - 36*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - (-6500)\/(-3262))\/((-25)\/1330). Let y = -2\/233 + f. Which is the biggest value? (a) 6 (b) y (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -9*n + 129. Let f be c(14). Suppose 2*l + 27 = 5*l - 4*z, -29 = -4*l + f*z. Solve l*p = -1 + 6 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3.98338nm?\nAnswer: 0.000000398338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 85485761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 + 34. Suppose z - 2 = 0, -2*b - b = -5*z + u. What is the remainder when 4 is divided by (0\/2)\/3 - b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1194901122?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 4\/9, 5, -0.4, 1.8?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 3*s + 6 = 0, 2*c - c = s + 10. Let o(i) = 60*i + 18. Let p(k) = -123*k - 36. Let q(d) = c*p(d) + 11*o(d). Differentiate q(a) wrt a.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23364856 divided by 5841214.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 40 + 6?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-159)\/(-9))\/((-2)\/6). Let o = d + 22. Let k = o - -43. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 142*v + 5268. What is the units digit of i(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 87 = -343. Let m = 251 - 235. What is the highest common factor of m and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 311266101.\nAnswer: 3, 47, 2207561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, -0.1, 7\/131, 0, 2, 17 in ascending order.\nAnswer: -3\/7, -0.1, 0, 7\/131, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (935\/90 + 15\/135)\/(2\/12). Suppose -4*h - 76 + 328 = 0. Does s = h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.3 - -5.3. Let a be (-4 - 1)\/((-6)\/(-2)). Let o(m) = m**3 + 4*m**2 - 5*m + 5. Let x be o(-5). Put l, x, a in increasing order.\nAnswer: a, l, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -5*w**4 + 180*w**3 + 450*w**2 - 47500*w + 46875 = 0?\nAnswer: -15, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 762*g = 61*g + 3505 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 59328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*m = 37*m + 30. Calculate the greatest common divisor of m and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -372, -777, -1182, -1587, -1992, -2397?\nAnswer: -2802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2 plus 16754?\nAnswer: 16755.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ry when two letters picked without replacement from rhqhyhqrrhhyjhy.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 240 = 7*d. Suppose -g = -3*i + 2*g + 21, -5*i + 2*g + d = 0. Let n(k) = -178 - 3*k**i - 3*k**2 + 178. Let l(h) = -h**2. Determine n(l(c)).\nAnswer: -6*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 7*c + 585. Does 20 divide -1 + (6\/2 - c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 6*q = 5. Let v be q\/10*0\/2. Solve d - 4*d = v for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13525\/14 - 1933\/2. Let t = -12 - -10. What is the nearest to 1 in 1\/5, w, t, -0.2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2039084 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 112202010020221 (base 3) in base 5?\nAnswer: 4001224313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3050 and 1150?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z + 6. Let y(w) = 7*w + 11. Let l(x) = -5*t(x) + 2*y(x). Let c be l(-6). Is -0.03 less than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f*f\/(f\/(f*f*f**(8\/5))))\/f)*f)\/f*f*f\/(f\/(f\/(f*(f\/(f*f**(1\/7)*f))\/f)*f))*f**(-2\/7)*f**6 assuming f is positive.\nAnswer: f**(254\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8484461 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.056079 + -0.0572. What is l rounded to four decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.1 and -1120 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12*q**4 + q**3 - 364*q**2 - 2*q + 198806?\nAnswer: 48*q**3 + 3*q**2 - 728*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-76)\/18 + 10\/45. Let k be b\/(-6)*(-4 - -1). Let f(j) = -3*j**2 - 3*j - 1. Give f(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of p**3\/3 - 2*p**2 + 2*p - 12. Let v(s) = s**3 + 6*s**2 + 4. Let x be v(-6). Let l be q(x). Solve l*k - 5 = -1 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*b**2*o**2*x**2 + 2*b**2*o*x - 5*b**2 - 17830804*b*o**2*x**2 - 1047*b*o*x - 2*b*x**2 - 10*b - 3*o*x**2 - x**2 wrt o?\nAnswer: 8*b**2*x**2 - 35661608*b*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 - 1)*(-5*c + 3*c + c) - 3*c - 26 + 26 to z + k*c and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000088800821 to five dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*n**2 + 9*n**2 + 4*n**2 + 4*n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 4*w = -1950000. What is w rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -9 + -178 + 185?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -112 divided by 16.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -1, -30, -4, -291, 0, 2 in increasing order.\nAnswer: -291, -30, -9, -4, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1144020413 (base 5) in base 7?\nAnswer: -32056226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 + 10*f - 7. Suppose 13 = 5*v - 32. Let q be c(v). Suppose 0 = 3*m + x - 79, -q*m = -4*x - 34 - 14. What are the prime factors of m?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -571586397*j**2 - 183725*j + 470.\nAnswer: -1143172794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10011 (base 4) in base 12?\nAnswer: -199","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-12) + 6\/4. Suppose 4*w - 26 = r*w. What is the remainder when 50 is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -265 - 19. Is 0 equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (21 - 22)\/((-2)\/(-12)). Let z be ((-39)\/q + -3)*2*1. Suppose 0 = z*g - 4*g - 12. Solve t - 27 + 4 = -4*h, -g*t = 3*h - 27 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 215\/3 + -71. Let u(g) be the first derivative of 1\/6*g**4 + 2 - 2\/3*g + g**2 - b*g**3. Solve u(i) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - 15 - (-2 + -7)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 less than 347087874897?\nAnswer: 347087874897.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 36183 divided by -1?\nAnswer: -36183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1269282 + -717144021\/565. Let k = o + 6\/113. Suppose 0 + 3\/5*z**2 + 0*z - k*z**3 = 0. Calculate z.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*(-2)\/(-135) - 18\/(-45).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -36.50221698452?\nAnswer: -36.50221698452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of -p**6\/120 - p**5\/10 - 7*p**4\/24 - p**3\/2 + 6*p**2. Let u be q(-5). Solve -o + 0*k - k - u = 0, -5*k + 1 = -4*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/39? (a) 2\/3 (b) -1\/10 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/56 and -37\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -4*i - 24, 5*c + 3*i + 17 + 22 = 0. Let s = 9 + c. Solve g + 4 = -s*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 19*o - 51*o + 21*o + 16*o. Let w(q) = 20*q**2. Determine r(w(l)).\nAnswer: 100*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -3*i**2 - 2*i**2 + 4*i**2. Let v(g) = 7*g**2. Let s(q) = -3*q**2. Suppose 15*h = 10*h + 10. Let w(u) = h*v(u) + 5*s(u). Give w(m(b)).\nAnswer: -b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 32*a + 10. What is the units digit of c(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-301)\/(-774))\/(175\/(-3000)).\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-2*sqrt(539))**2 + 5.\nAnswer: 2161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/9 and -3*55\/90 + -2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-14)\/((-420)\/45)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of -o**5\/20 + o**3\/6 + 3*o**2 + 191*o - 97. Let a(v) be the first derivative of r(v). Determine a(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33.6 + 34. What is the nearest to 1 in 18, 5, -0.2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 15 = -2*w, 54*r - 56*r = w + 9 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16469470534.0000513 + 16469469757. Let j = c - -777. What is j rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -354427675 - 1353229\nAnswer: -355780904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -58. Let a = q - -95. Let t = -46 + a. What is the closest to 2 in t, 0.2, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -5537141 + m**3 + 14*m**2 + 5537149 + 14*m + 0*m**3. Calculate w(-13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/1248 and -59\/7488.\nAnswer: 7488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2897423 to the power of 1\/4, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + 3 + 1)*-5.\nAnswer: -20 - 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 224*i = -m + 219*i + 5, 4*m + 10 = -5*i for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3865 in -2\/3, 0.2, -4\/9, -1\/10, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.7982 - -0.8. Round c to 4 decimal places.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000213962 rounded to 6 dps?\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 AM and 8:50 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.058, -6, 0.5, -1\/52?\nAnswer: 0.058","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.052571 to three dps.\nAnswer: 0.053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 64918976 to the nearest integer?\nAnswer: 8057","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -619*v = -1275*v + 633*v + 2438 for v.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/462 and 103\/1020?\nAnswer: 78540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-3\/5)*d**(-10))**14\/((d\/(d*d*d**(-2\/19)*d))\/(d\/(d\/(d**(-9)*d))))**(-2\/7) assuming d is positive.\nAnswer: d**(-77044\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 153314813 to the power of 1\/2, to the nearest integer?\nAnswer: 12382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6003719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 1\/155489?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (5 - 6 - -1 - 5)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 - 2*s**3 + (-2*s**2 - 2*s + 2*s)*(1 - s - 1) + 26*s**3 - 49*s**2 + 49*s**2.\nAnswer: 26*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3002354175?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l + 1. Let k(z) = 4*z - 2. Let r(f) = -2*a(f) - k(f). Let y(n) = -5*n + 3. Let p(g) = -15*g + 8. Let s(i) = 3*p(i) - 8*y(i). Calculate s(r(w)).\nAnswer: 10*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 41\/6841926?\nAnswer: 41\/6841926","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*a**2 + 2407905*a - 7223742 = 0. What is a?\nAnswer: -802638, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2364413 is divided by 170.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 - -15. Suppose -4*a + 4*w = -52, 49 = 5*a + 4*w - 5*w. What is the second derivative of -s - s - a*s**5 + b*s**5 wrt s?\nAnswer: -80*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3714, 3733, 3776, 3855, 3982?\nAnswer: 4169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33012686.\nAnswer: 2, 7, 2358049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2118074923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50 is divided by (0 - 4\/6) + (-2867)\/(-183)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4644\/(-3105) - 2\/10 and -11\/9.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3*(2 + (-30)\/9). Let w = 13 - c. Solve 3 = -4*a - x, 0 = 2*a - 3*a + 3*x + w for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 - 49514145070013.\nAnswer: -49514145070011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -84.69 to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*y - 80 = -83*y. Suppose 2*b - y*b = -726. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -36, 5, -652?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 238771\/4 smaller than 59694?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -3, 2\/6513 in increasing order.\nAnswer: -3, 2\/6513, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of y**8\/6720 - y**6\/360 + 11*y**3\/6 + 3*y**2. Let w(t) be the first derivative of j(t). Factor w(i).\nAnswer: i**2*(i - 2)*(i + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2448 by 306.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 165705884?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-344)\/(-4) - (3\/(-4 + (-469)\/(-112)) + -11)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -890.81 to the nearest 10.\nAnswer: -890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2428*g - 2349*g - 88 - 149 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1272 and 30.\nAnswer: 6360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 116412*o**2 - 172*o + 306.\nAnswer: 232824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r. Let i(f) = f**2 - 2*f + 3. Let n be i(3). Let t(v) = -3*v - n*v + 6*v. Give h(t(x)).\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(128) - -2*2*sqrt(128))**2 + 0 + ((sqrt(128) - (sqrt(128) - (-4*sqrt(128) - sqrt(128))))*-6 + -3*(sqrt(128)*-5 - sqrt(128)))**2.\nAnswer: 275712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -2\/5 (c) 3\/4 (d) -21 (e) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + (3 - (4 + 3)). Let w = 13 - o. Let r(x) = -x**3 + 18*x**2 - 17*x + 9. Let g be r(w). Solve 3*m + g = -3*u, -4 - 25 = 5*m - 2*u for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6694*z + 23552 = 5222*z for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/15)\/((-272)\/(-2584) - 1794\/(-285)).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -75, -5445, -1\/4, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 4*b + b - 53541, -3*u + b - 53561 = 0. Let j = -9129 - u. Let d = 5023 - j. Round d to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -5*a + 7. Let y(f) = 11*f - 5. Calculate the remainder when y(a) is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 790 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -14*g - 155. Give w(-2).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 50?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of -9*g**2\/2 - 2*g - 2. Suppose 5*c = 2*d + 4 - 26, 3*d + 5 = -2*c. Is 16 a factor of i(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + o = 5*o - 20, 5*k + 10 = 2*o. Suppose -2*g + 14 + 6 = k. Let v = g + -4. Solve 4*a + 5*j - v = 0, 4*j = 2*a + j - 14 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 AM and 3:08 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10626 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 354174\/7 + -50414. Suppose w + 187 = 5*i, -4*i - 724 = w + 3*w. Let f = w + y. Which is the third smallest value? (a) -0.05 (b) f (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87346.\nAnswer: 2, 7, 17, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -9. Suppose -3*w + 134 = 4*s, -r*s + 4*w = -0*w - 56. Let z = 1322 + -1230. Calculate the remainder when z is divided by s.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.08617 - 0.079979. Round i to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -5*l - 80. Let w(p) = -2*p - 27. Let q = 10 - 13. Let i(z) = q*s(z) + 8*w(z). List the prime factors of i(0).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -84 + -46739454.\nAnswer: -46739538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/8 - (-11)\/4. Let z(v) = -v**2 + v + 3. What is z(g)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hghggvgeggvvs. Give prob of picking 1 v and 1 g.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {d: 4, b: 4, z: 5, p: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 20.07 and -327?\nAnswer: -6562.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/3344*19)\/((-18)\/(-2244)*2).\nAnswer: -34\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/((-429)\/(-22)))\/((-40)\/(-48)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79786464 is divided by 505.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (-43 + 83 + -11) - 9?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/(-2))\/(9\/(-36)). Let i(v) = v - 6*v + 2*v + q*v. Let t(n) = -n**2. Give i(t(b)).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**3 + 66*c**2 - 140*c - 2. Give i(-35).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3634350069.\nAnswer: 3, 7, 31, 1831, 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/23729700 and 49\/10678365?\nAnswer: 213567300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3*x**2 - x. Suppose z - 5 = 5. Let t = z - 9. Let n be j(t). Is 2 not equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -192*s - 1825. Is y(-20) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3, -0.4, -2\/17, -2\/731?\nAnswer: -2\/731","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 6, q: 1, k: 3, c: 1, g: 3}. What is prob of sequence qokk?\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 24642*b**2 + 0 + 222*b**3 + 911754*b + 2\/3*b**4 = 0. Calculate b.\nAnswer: -111, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 355316?\nAnswer: 2, 13, 6833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -a0c (base 14) to base 6\nAnswer: -13044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -44*o + 32*o. Suppose -o*h + 4*y = 14, -35*y = 4*h - 37*y + 10. What is the nearest to -0.3 in h, 1, 3, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - y + 0 - y)*(-1 + 4 + 3) - y + 3*y + 0*y.\nAnswer: -10*y - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - 3*t + 5*t + (1 - 1 - t)*(1 - 2 - 1) + 3*t - 6*t + 2*t + 2*t - 5*t + 4*t)*(-5 + 0 + 2)*(-3 + 0 + 5).\nAnswer: -24*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a**2 - 19977*a - 219981. Give d(-11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3412*j + 5. Let w be v(8). Let g = w + -326959\/12. Let a = 2345\/48 - g. Find the common denominator of a and 91\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b**2 - 3*b - 1. Let o(r) = r**3 - 4*r**2 + 2*r - 5. Let x be o(4). Let m be w(x). Suppose 0 = -4*q + m*q + 448. Round q to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -221, 3, 0 in increasing order.\nAnswer: -221, -5, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1\/8 + (-68576)\/(-256) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 10 = 2*f + 2*m, -4*f + 5*m - 64 = 0. Let d(o) = 6*o - 3. Let h(w) = -31*w + 15. Let x(n) = f*d(n) - 2*h(n). Is x(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaiftavivazzvav. Give prob of picking 1 v and 1 f.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.1 (b) -443 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 4. Find the third derivative of 2*q**2 - s*q**2 + 3*q**2 + 3*q**4 wrt q.\nAnswer: 72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1879 = 10*a - 3511. What is the first derivative of -3 - 534*f + a*f - 1 wrt f?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -353 - 22 - 6*i + 949 + 133*i**3 + 6*i - i**2 wrt i.\nAnswer: 399*i**2 - 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41132090 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 100174545 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - 6*k**2 + 27*k + 4. Let l be n(-9). Solve 0 = l*s + 18 - 6 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4141.\nAnswer: 41, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 4*h + 7436 + 32680, 5*h - 30093 = 3*w. What is the units digit of 4\/14 - (0 + w\/42)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23564 at most 23564?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -13, -1893?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**2 - 3*m**2 + 7*m**2 + 2*m - 2*m**2 - 1 + 1 + m**2 + 3*m**2 - 3*m**2 + (m + 0*m + m)*(0 - 2*m + 0) - m**2 - 2 + 2 + 4*m**2 + 20*m - 20*m.\nAnswer: m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c = 14*c - 6. Suppose 2*u - u = -c*w + 7, 2*u = -5*w + 16. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2\/3, 1\/4, 169, -0.5, -70, -3?\nAnswer: 169","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 PM and 6:58 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 2*v - 22 = -4*r, 4*r - 15 = 5*v. Suppose 5*m + 152 = x, 0 = r*x - 3*m + 2*m - 880. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 2 = -0*h, 5*u + 5*h = 0. Let d be 14\/4 - (-1)\/2. Let a(s) = -s**2 - s. Let f be a(-2). Sort d, f, u.\nAnswer: f, u, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (15\/(-10))\/((-2)\/(-4)). Suppose u - q - 6 = 0, 4*u + 2*q = 3*u - 3. Suppose 5*z + 12 = -u. Is z smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64 is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -4*t + 24, t + 5*a - 28 = -3*t. Let f(z) = 4*z - t*z - 4*z. Let x(h) = -4*h. What is f(x(y))?\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 266171161?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 3) in base 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 5*i - 52, 2*i - 1 = i. Let r = o + -80\/3. Find the common denominator of r and -44\/135.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 + 22*a**2 + 2*a - 5. Let o be i(22). Suppose 177*g = 174*g - o. Let j = 132\/305 + -2\/61. Is j >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 98658?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2675, 11003, 24883, 44315?\nAnswer: 69299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 135 + (1 - (-5 - -7)).\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 - -31. Suppose -4*w - j - j - 14 = 0, -5*w - 5*j = h. Let f = 17.8 + -17.6. Put 3, f, w in ascending order.\nAnswer: w, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 9*m - 1. Let d be b(2). Calculate the greatest common factor of 119 and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 12:02 AM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-1 + -3) - -27.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 1506*c - 3. Let w(l) = l**2. Calculate x(w(k)).\nAnswer: 1506*k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -94*x**4 + 1294*x**2 + 1299*x**2 - 3*x + x**3 - 2595*x**2 to w*x**2 + u*x + v*x**4 + a + p*x**3 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 4*y**2 - 9. Give a(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 7896*w + 31650. Determine y(-4).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -646*h - 195*h + 55*h - 106544 + 73532 = 0 for h.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15734248?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + 7. Let n = k - 1. Calculate the greatest common factor of 2 and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34.099441 + 34.1. What is z rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 116394750 divided by 273870\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -0.87. Let y = r - -1.13. Which is the second smallest value? (a) 3 (b) 0.1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a minute in milliseconds?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.288708 centuries in millennia?\nAnswer: 0.6288708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mbbmmmbmmmm. What is prob of sequence bmm?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 14*b - 995 + 995 - b. Let f be o(9). Calculate the highest common divisor of 13 and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 4*b. Let j(t) = t**2 + 4*t. Calculate f(j(m)).\nAnswer: 4*m**2 + 16*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - (-34 + -30 + 45).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -30 and -0.8?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 143 (b) 392 (c) -14\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -1 - -3) + 8 + -47 + 40.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + -157077?\nAnswer: -157077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -79*v**2 + 79*v**2 + v**3 + (-3*v + v + 0*v)*(-1 + v**2 + 1) + v**2 - v**2 - v**3 - 6*v + 6*v + 4*v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from iohij?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1660, 5785, 12660, 22285, 34660?\n\"Answer: 1375*c**2 + 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 AM and 1:18 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -12*a + 14*a, 3*a = -3*o + 24. Let t = -7565 + 12871. Suppose t - 1853 = o*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.16648 * -1.6401.\nAnswer: 0.273043848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 2*w - 98. Solve -d = 3*i - 5*d + w, -d = -2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5\/4, 4\/3, 0, 0.04, 359?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (3 + 1*sqrt(288) + (sqrt(288)*1)**2*-6)*-2.\nAnswer: -24*sqrt(2) + 3453","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2199*c**2 + 516 - 2*c + 1810*c**2 - 2351*c**2 + 290 + 2*c**3 wrt c.\nAnswer: 12*c + 3316","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*z - 4*z - 3*z)*(-6 + 1 - 2) + (1 - 4 + 4)*(-1 + 1 - z).\nAnswer: -120*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -1628258*d**3 - 2*d - 67*d**2 - 220*d**2 + 1628249*d**3 in the form h*d**2 + r*d**3 + a + x*d and give h.\nAnswer: -287","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) -2 (c) 0.2 (d) -5 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -400 or -399?\nAnswer: -400","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 93733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 351\/117*(-1)\/10?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, r: 4, p: 5}. What is prob of sequence tppp?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 293 = -5*d, 0 = b - 5*b - 16. What is the third derivative of 10*c**2 - d*c**2 - 5*c**4 + 24*c**2 wrt c?\nAnswer: -120*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(891) + 2 + sqrt(891) + 1 + 3 + -2))**2.\nAnswer: 5184*sqrt(11) + 128880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -2*r - 7, 4*o + 11*r + 22 = -24. Solve -y - 5*b + 9 = -o*y, -3*b = -2*y - 7 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*s + 4*s - 6*s)*(4*s - 3*s - 3*s)*(-s - 6*s - 3*s) to d*s**2 + h + u*s**3 + c*s and give u.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75566 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4746145, 4746339, 4746859, 4747867, 4749525, 4751995?\n\"Answer: 27*s**3 + s**2 + 2*s + 4746115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -15*g**5 + 6*g**3 + 313*g - 11. Let x(s) = 5*s**5 - 2*s**3 - 104*s + 4. Let i(a) = 4*m(a) + 11*x(a). What is the second derivative of i(l) wrt l?\nAnswer: -100*l**3 + 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 19 = 5 - 6 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2420.81402 rounded to the nearest integer?\nAnswer: -2421","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 > -2446?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 205920303?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 765 is divided by (-70)\/(-6) + (-2)\/(-12)*2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9814579 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 50956528*k**2 + 312877*k + 40?\nAnswer: 101913056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 131214 and 646?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j - 6. Let q = -20 - -29. Let s(h) = -6*h + 7*h - q + 11. Let f = 3 - 11. Give f*s(a) - 3*b(a).\nAnswer: -2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1230 is divided by 247.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*o = 62*o + 2. Let j = 7 + -4. Put o, -3, j in decreasing order.\nAnswer: j, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.5 + -1.5. Let i = 7 + w. What is the nearest to i in -2\/3, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 48931*n - 880765. What is r(18)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1019545?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*sqrt(432) - sqrt(432))*-6 + 3)*3 - (-3 + -4 + sqrt(432) + 2)*6)**2.\nAnswer: 61776*sqrt(3) + 1883313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 5924498\nAnswer: -5\/5924498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 458.1551 weeks to milliseconds.\nAnswer: 277092204480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x + 11. Let m = 10 - 5. Let l be r(m). Is 2 a factor of 45\/l*10\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 38841\/(-6) + 48\/(-32). Let i = c - -30865. Round i to the nearest 1000.\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 129 and 516?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*y + 88*y - 11*y = -9027. Let n(v) = 2*v + 8. Let z be n(-7). Let m = z - 0. Let f(p) = -p**2 - 2*p. Let b(j) = 8*j**2 + 17*j. Give m*b(q) + y*f(q).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2023\/950 + -133\/50. Which is smaller: j or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 5 (b) -1\/6 (c) 59.1 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-3) + -4 + 0 - -9. Suppose -5*g = 3*n - 34, 4*g - 3*g = -4*n + 34. Suppose i*x - 2*x = n. Solve -4*y + 5*y = -3*r + 10, 4 = x*r for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, -1\/3, 1\/3 in increasing order.\nAnswer: -1\/3, 1\/3, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/(r*r**3))\/r**6)**49*((r\/(r\/(r*r\/r**(1\/4)*r)))\/((r**(1\/6)*r)\/r))\/(r\/(r*r\/(r\/(r**(-4)\/r*r)))*(r**3*r)\/r) assuming r is positive.\nAnswer: r**(-4757\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 20, 19, 18?\n\"Answer: -l + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(15) + (sqrt(240) - (sqrt(240) + sqrt(240)*-1)) - sqrt(15)) + sqrt(45)\/sqrt(3)*4 + sqrt(15))\/(-1*sqrt(180) - sqrt(240)\/sqrt(12)))**2.\nAnswer: 243\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 68, 163, 258, 353, 448, 543?\nAnswer: 638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5 and 21.30826.\nAnswer: 21.80826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 - i + 1. Let d(r) = -r - 1. Let f = 72 + -121. Let j be 4\/(-14) + (-63)\/f. Give j*d(z) + o(z).\nAnswer: z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 150 and 694650?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2134, 4092, 5868, 7462?\nAnswer: 8874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -3) + (-9 + 2 - (86 - 83) - -4).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 14 = -13*g - 3*h, g - 11 = 3*h - 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n + n - 5*n = 16. Let u be (0\/(-1))\/(6 + -4). Let d = 1 - u. Sort 0, d, 4, n in decreasing order.\nAnswer: 4, n, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of -k**6\/30 + k**3\/2 + k**2 - k. Let i(f) be the first derivative of y(f). Find the first derivative of i(v) wrt v.\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + -12 + -1 + (91 - 81) - -10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 93002 and 196.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 0 + -5 + 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + 7\/((-21)\/15). Let g be (-31)\/a + 4 + (-21)\/6. What are the prime factors of (32\/6)\/(2 + g\/(-9))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10921925 divided by 695\nAnswer: 15715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -82, -79, -76, -73, -70, -67?\n\"Answer: 3*g - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-96))\/((-2)\/(-8))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a tonne in kilograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*2\/(-4)*(-6)\/(-24).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5 - -3)*(2 - 3). Suppose -3*p = -5*q + 15, 4*q - 4 = p + a*q. Let i = p - -14. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-22)\/4*-14 - 0 is divided by (-104)\/10*(-75)\/30.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-101438)\/(-608664) - (-1)\/(-6). Let d = 183410741\/1115884 - n. Let p = 164 - d. Which is the third smallest value? (a) -0.5 (b) 4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 36051, 35665, 35273, 34875, 34471, 34061?\n\"Answer: -3*h**2 - 377*h + 36431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34.8 + 34. Let b = -0.738 - v. Let w = b - 0.0628. What is w rounded to four decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/2762493 - 295576631\/13978214580. Find the common denominator of w and 89\/690.\nAnswer: 15180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5419.\nAnswer: 5419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3527*c**5 + 2*c**2 - 183*c - 3?\nAnswer: 211620*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23018258 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - u = 25. Suppose -3*p - 246 = q, 0 = -2*p - 0*p + u*q - 147. Round p to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 + 32. Suppose 326 = 20*t + 286. What is the smallest common multiple of t and i?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8119 a factor of 1072686109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2 - 547*k**2 - 2 - 131*k**3 - 144*k**3 + 67*k**3 wrt k?\nAnswer: -1248","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -121*l**3 - 4*l**2 + 39. Let n(c) = 483*c**3 + 15*c**2 - 144. Calculate -15*g(k) - 4*n(k).\nAnswer: -117*k**3 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 32 = -s, -2*s + 3*x - 40 = x. Let g = s - -82. Let p be (-10)\/35 + g\/14. Solve k - 18 = -p*r, -4*k - r + 6*r = 33 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34437496?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1489\/60 + 122\/5. Let j = 4617\/4 - 1167. Calculate the common denominator of r and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p**2 - 15*p + 16*p + 10*p**2 - 29*p**2 + 5 + 6*p**2 to g + o*p**2 + h*p and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*p + 7*p + 19*p - 2*p + 4*p - p + (-1 + 0 + 0)*(-p - p + 0*p) + 0 + 0 + 2*p - 1 + 1 + 2*p to the form a + g*p and give g.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-140)\/(-126)*(-3)\/15?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -70\/129 and -53\/215.\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ifiiiiiiffnifiifffi. What is prob of sequence ii?\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1492273759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1))**(3\/20)\/((t*t**(3\/7))\/(t**(-4\/5)\/t*t)) assuming t is positive.\nAnswer: t**(-333\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 211019288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -bc7815 (base 16) to base 5.\nAnswer: -11130222014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160826 = 47*h - 18996. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.6 (b) 205 (c) -5 (d) 1\/3 (e) -2.9 (f) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -4525 - 39*i**2 + 4527 - 40*i**2 as s*i**2 + h + a*i and give s.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 31.69198t?\nAnswer: 31691980000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 68590 and 175085?\nAnswer: 1805","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 53.23 + -54.4. What is the closest to -2\/9 in c, -1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 + 0 = -8*g. Put g, -2, -30 in decreasing order.\nAnswer: -2, g, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4866 to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -2\/5, 2\/5, 18?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a + 8*a = -1160000. Round a to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9104260 and 990?\nAnswer: 81938340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (303\/(-808))\/(9\/(-112))\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + 2*r**2 - 8*r + 14. Let b(m) = -10*m**2 + 15 - 8*m + 4*m**2 + 8*m**2 + m**3. Let h(f) = 3*b(f) - 4*z(f). What is the units digit of h(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 40\/220 - 108\/(-11). Solve b + 5 = 3*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9212609?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -808730 divided by 6221\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of q**4\/4 - 4*q**3 + 13*q**2\/2 - 15*q - 178. Give u(11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6\/7 (b) -3 (c) 0.01 (d) -4.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + -12 + 15)*(-20)\/4.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -273 + -260106\nAnswer: -260379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -37 - -43?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f - f - 1. Let n be f + (-3)\/(-1 - 2). Solve o + o + 10 = n for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19760 divided by 2470?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 545*x. Let k(a) = 290*a + 3. Let y(r) = 679*r + 7. Let l(u) = -7*k(u) + 3*y(u). What is l(v(p))?\nAnswer: 3815*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -53 + 4305a3?\nAnswer: 430550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**8\/(z*((z**(-3\/5)\/z)\/z)\/z) assuming z is positive.\nAnswer: z**(53\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3188360857.\nAnswer: 11, 743, 390109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 1. Let n(q) = q**3 + 27*q**2 + 26*q + 3. Let x be n(-26). Let a = -39 + 43. Solve -19 = -x*i + r, 0 = -r - a - m for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -451 + 451.4. Which is the closest to -1? (a) 23 (b) -0.2 (c) -3\/5 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -206, -126, 26, 256, 570, 974, 1474, 2076?\nAnswer: 2786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 417 is divided by 380.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000108423 rounded to 6 dps?\nAnswer: 0.000108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44900 and 45144705?\nAnswer: 2245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1335\/20)\/(21\/28). Solve 95*y = u*y + 30 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v. Let w(z) be the first derivative of -z**3\/3 + 80*z**2 - 71. Give w(a(k)).\nAnswer: -k**2 - 160*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/126)\/(18\/(-14))\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z + 5. Let x be (-1 + 4)\/(4\/24). Suppose -2 - x = -4*b. Let j be i(b). Sort 2\/19, j, 2 in decreasing order.\nAnswer: 2, 2\/19, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 - 7*k - 4. Give f(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 9 - 8 = 4*p, p = -3*u - 8. Let a(o) = -1. Let v(w) = 12*w + 9*w - 46*w - 1 + 10*w + 18*w. Determine u*v(z) + a(z).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -1) + 190 + -158.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.08 * -10062.\nAnswer: -804.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 4*j + 7499980, -3*j = 3*s - 6*j - 7499985. What is s rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i - 2. Let h be y(3). Suppose -35 = -8*n + n. Put n, h, 4 in decreasing order.\nAnswer: n, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*q = 26*q - 28*q - 1020 for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 70313528 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 393280668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*h + 3*h - 5*h)*(-994 - 1100 - 287 - 2477 - 521 + 634) to r + f*h and give f.\nAnswer: -4745","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 256176231455 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 676231721.\nAnswer: 11, 37, 1661503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 204 and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 679 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hsoofts. Give prob of sequence hot.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**5 + 43*l**4 + 319*l**3 - 363*l**2.\nAnswer: l**2*(l - 1)*(l + 11)*(l + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**2*g**3 - 4*a**2*g**2 - 806*a*g**3 + 27*a*g**2 wrt g?\nAnswer: -6*a**2 - 4836*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.5692 - 0.0308. What is the third smallest value in -1\/5, m, -0.5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 divided by -437.\nAnswer: -13\/437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*y - 58\/7*y**3 + 0 - 32\/7*y**4 - 2\/7*y**5 - 4*y**2 = 0. Calculate y.\nAnswer: -14, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 m when two letters picked without replacement from {z: 2, f: 2, m: 9}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(156)\/sqrt(4) - sqrt(39))\/(sqrt(30)\/(sqrt(10) - sqrt(160))).\nAnswer: 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -20, 32 = y + 6*w - 3*w. Let i = y - 44. Solve -2*l + 1 = i for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6465*j - 15 - 21 + 77 - 41 to b*j + p and give b.\nAnswer: 6465","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 35635 - 210?\nAnswer: 35425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of 241*j**3\/6 + 269*j**2\/2 + 110*j. Find the first derivative of q(x) wrt x.\nAnswer: 241","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.6 and -1.\nAnswer: -4.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-11395)\/(-516) - -35 - 57\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (192\/11256)\/(-3*((-22)\/2 - 18778\/(-1722))).\nAnswer: 4\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113920839 is divided by 1265?\nAnswer: 1264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - (-32)\/12*3. Let w(o) = 7*o**3 + 6*o**2 + 3*o - 6. Let z(a) = a**3 + a**2 + a - 1. Calculate l*z(h) - w(h).\nAnswer: -h**3 + 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*g**4 + 4*g**4 + 3*g**4 + (g**3 - 2*g**3 + 3*g**3)*(-3*g + 0*g - 4*g) - g**4 - 2*g**4 + 0*g**4.\nAnswer: -16*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 189\/11 or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 176*j**2 - 45*j**2 - 3*j - 46*j**2 - 42*j**2 + 17 - 44*j**2 to the form z*j + t*j**2 + i and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 5, -2\/41, -577 in ascending order.\nAnswer: -577, -2\/41, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 3773370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/2 + 0 - 0. Let g be (-4)\/(-18) + 264\/27. Suppose -3*t + 2 = 2*t - 2*s, 3*t = -s + g. Solve 3*b - o*d + t + 3 = 0, 3*d = b + 10 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 + 17*t - 44. Give b(15).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 PM and 6:36 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (1 + sqrt(6912))**2)*4*1.\nAnswer: 384*sqrt(3) + 27648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-21)\/(-30) - 1\/2. Let y = 56 - 74. Let o = y - -15. Which is the biggest value? (a) o (b) j (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t - 2*p - 21, 0 = -5*t + 2*t + 5*p for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.507057mg to micrograms.\nAnswer: 2507.057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2084942616.\nAnswer: 2, 3, 86872609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-1625)\/(-182) - 112\/(-14)) + -17\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of p**2\/2 + 11*p + 1. Let k be d(-7). Suppose 0 = 2*a - k - 2. Solve -3*m + 5*o = a, 0 = -m - 2*m - 4*o - 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 12 - 3)*(q**2 - 4*q**2 + 9*q**2)*(0 + 1 - 3).\nAnswer: -132*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6859733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -53 and 0.69803.\nAnswer: -52.30197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 90 = -5*l, -83 = -3*q - l - 21. Calculate the lowest common multiple of 5056\/72 - 8\/36 and q.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-2)*-4*28\/32?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1133 = 12*n + 1205 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 25395, 53553, 84479, 118179, 154659, 193925?\n\"Answer: c**3 + 1378*c**2 + 24017*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 174406 to the nearest integer?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -20+69742475574\nAnswer: 69742475554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/8*((-290)\/(-15) - 2). Let j(y) = -y**3 + 26*y**2 + 2*y + 31. Is j(q) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8382 - 6864. What are the prime factors of c?\nAnswer: 2, 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 19354, 0.3, -2, -0.05 in ascending order.\nAnswer: -2, -0.05, 0.3, 19354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 89859762389 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 143*h**2*o**2 - h*o**2 + 253*o**2 wrt h?\nAnswer: 286*h*o**2 - o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of 5\/24*g**4 - 1\/120*g**6 - 1\/210*g**7 + 1\/20*g**5 + 0 + 0*g + 1\/3*g**3 + 4*g**2. Find z, given that l(z) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 40 = -4*s - 20, 4*s - 16 = 0. Let z be 5 - (-2 - c - -8 - 0). Put -22, -4, -2, z in decreasing order.\nAnswer: z, -2, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 67752343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 3. Let v = -267 - -266.6. What is the biggest value in o, v, -4\/5, -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -652007\nAnswer: -3\/652007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**2\/21 + 64286*c\/21 = 0 for c.\nAnswer: -32143, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -676 - -215. Let g = 404.462777 - -56.537442. Let u = a + g. Round u to 5 decimal places.\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1272 and 744?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-1049 - -1161 - (1 - -33)).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 16 + 12 = 4*m, 0 = m + 4*w - 10. Let z(r) = -m*r + 2 + 14*r - 2. Let c(x) = -17*x + 6*x + 3*x + 7*x. Calculate c(z(a)).\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 264*v = -5*w + 275*v + 4, -w + 4*v + 11 - 3 = 0 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d9 - 1?\nAnswer: -da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -109602.2085 rounded to the nearest integer?\nAnswer: -109602","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 11:09 PM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (0 - -1) - (17457\/(-561) + 34)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/(-3) + (2 - 33\/5). What is the closest to 0 in -2, 2\/3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = k + 13. Let s(z) = z**3 - z**2 - 2. Let m(o) = -o**2 - 1. Let t(n) = -2*m(n) + s(n). What is the smallest common multiple of t(1) and k?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 89 - 92. Let p be 3\/(-2 + -7) - 7\/f. Find the third derivative of 8*w**2 - 11*w**6 + w**6 - 21*w**6 - 12*w**p wrt w.\nAnswer: -3720*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6980.206 weeks to nanoseconds.\nAnswer: 4221628588800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n\/(((n*n**(-2\/7)\/n*n*n)\/n)\/n))\/n))**(2\/25))**(-7\/12)*(n**(2\/5))**(-22)*(n*(n\/((n**1*n)\/n))\/n*n)**(4\/25) assuming n is positive.\nAnswer: n**(-1301\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - 7*f**2 + 5*f + 3. What is l(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-788)\/(-2364))\/((-2)\/(-87)*2\/(-4))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.5, 9, -18?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -716, -713, -708, -701?\n\"Answer: p**2 - 717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 2.48, -4, 0.3 in decreasing order.\nAnswer: 2.48, 0.3, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 7:19 PM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vdi when three letters picked without replacement from idvodddoiovddiodvov?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14789*x - 14790*x + 29569*x.\nAnswer: -10*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -31971 and -31978 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a tonne in grams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29690 less than or equal to 728?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(931) + 2 + sqrt(931) + -1 + 3 + sqrt(931) + -2)*-1)**2*-4.\nAnswer: -33532 - 336*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of 0*w**3 + 0*w - 6 + 5\/2*w**2 + 0*w**4 - 2\/5*w**5. What is the second derivative of b(t) wrt t?\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 769 a factor of 1531293551?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (176\/(-2156))\/((-12)\/(-14))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -312 (b) 3\/8 (c) 511\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -154687 divided by -13.\nAnswer: 11899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*x + 5*r = -87*x + 29, -49 = -5*x - 2*r. Solve -35*y + 31*y - 4*m = 20, -5*m = -4*y - x for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 56.14 and 0.66?\nAnswer: 37.0524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1568290313?\nAnswer: 47, 33367879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 - 18 - ((2 - (1 - -4)) + 10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36*k*s**2*y + k*s**2 - 2*k*s*y + 2614*k*s + 82607*s**2*y + 3*s*y + 22*s wrt s.\nAnswer: 72*k*y + 2*k + 165214*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 58886, 117821, 176756, 235691?\n\"Answer: 58935*b - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Is (-6 - 0)*(2211\/(-6) + -2) a multiple of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -410900 + 5*j**2 + 410900.\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 86822203?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1240985?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 134104?\nAnswer: 134044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (104 - 106) + (-6 - -35)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -100*m - 14 wrt m?\nAnswer: -100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4381.502 + 182988541\nAnswer: 182992922.502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 86 and 2970.\nAnswer: 127710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -71*m + 176. Let x be h(11). Let t = x - -977. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -148.5387 rounded to the nearest ten?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 3 (b) -3 (c) -1\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-3)\/(-4) - 842\/(-8) is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + 0. Find the third derivative of 2*s**5 - 3*s**4 + 10*s**4 - j*s**4 - 8*s**2 wrt s.\nAnswer: 120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 16. What is the least common multiple of (o\/6)\/(2\/(-6)) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/5 + 628\/130. Let p = h + -249\/65. Find the common denominator of p and (-53 + 2 + -2)\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000010010110 + 101000110?\nAnswer: -1111101010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 338*y + 6768 = 341*y. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 15 = -5*t, 2*t = -3*o - 63 + 76. Let j = -1 - -3. Put t, j, 0, 1 in descending order.\nAnswer: j, 1, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*a + 34*a - 2326 = 0. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**2 + 17*j + 18. Let i = 5 - 13. Let y be q(i). Suppose -y*v + 7854 = 1504. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 50 + -32. Let p = k - -5. Suppose -67 = -4*u - p. Solve 5*d = -4*b + u, d = -2*b - 0*b + 7 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 130.518437108475 and -0.06.\nAnswer: 130.458437108475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72 divided by -7.\nAnswer: 72\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73116456 divided by -12186076.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 747 = -0*u. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4.7 less than 862.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*t**2 + 8*t**2 + t**2 + 5*t**2.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0\/(m\/m**(2\/5)))**(3\/10) assuming m is positive.\nAnswer: m**(-9\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**3 - 110*i**2 + 3*i - 167. Let r be p(55). Put r, 4\/5, 15\/2 in decreasing order.\nAnswer: 15\/2, 4\/5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -64.12 - -64.11997027. What is o rounded to 6 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -9*r**2 + 3*r + 2. Let t be m(-1). Let y be ((-3)\/6)\/(45\/t). Which is the biggest value? (a) -0.1 (b) 1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11928 + -6912. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of -16*y**5\/5 - 13*y**3\/3 + 3569*y + 1128. Differentiate a(p) wrt p.\nAnswer: -64*p**3 - 26*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -3*k - 15. Let o = -3 - 3. Let s be b(o). Suppose 450 = 3*f - 3*j, -740 = -2*f - s*f - 5*j. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -294870300 to the nearest 100000.\nAnswer: -294900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 + 13*u**2 + 4*u - 20. Let y be v(14). What is y rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53660 (base 7) to base 2\nAnswer: 11010000111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1737 + -1410. Suppose 110 + 816 = 2*a. Let l = a - n. Is l a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6854 - 6854 + 147*p + (-3 + 0 + 4)*(p - p + p) + (11 - 11 + 4*p)*(3 - 1 + 0) to the form s*p + d and give s.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 31 = 3*o, 3*r + 8 = -o + 25. Let f(y) = -2 + 1 - 5*y + 3*y - 10*y**3 - 2*y**o. Let g(w) = -31*w - 187. Let p be g(-6). What is f(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 3 k when four letters picked without replacement from {k: 10, o: 2, p: 2}.\nAnswer: 240\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 960275286 and 14004?\nAnswer: 7002","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -51995 and -27.\nAnswer: -52022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, 4, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -292 - -304. Calculate the smallest common multiple of 40 and v.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 PM and 6:28 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/7836 and -21\/20?\nAnswer: 39180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from aazzzazz?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -205 + 1431\/7. Which is bigger: 0 or b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*t + 13 - 13)*(-4 + 5 - 2)*(-10 - 3 + 2) to the form u + r*t and give r.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45985?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*q - 220*q = -74*q + 1425 for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 5*y + 84 + 86 = 0, 130 = 2*l - 5*y. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 5*l - 416 = 0, 0 = -5*g + 2*l + 407 + 80. Suppose 5*j + 0*j - g = -t, 0 = -5*t - 3*j + 539. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -212, -1057, -3336, -7769, -15076, -25977, -41192?\n\"Answer: -120*v**3 + 3*v**2 - 14*v - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*r + 2*r - 3*r to k*r + o and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3071097940 - 843*y + 3071097940.\nAnswer: -843*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 74375*f**2. Let d(g) = 3939*g**2. What is d(y(p))?\nAnswer: 21789132421875*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1067457 is divided by 177907?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 76, 136, 198, 262?\n\"Answer: m**2 + 57*m + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10947 + 14899. Does 208 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -2*t + 6, 2*t + 32 = 38. Put g, -3, -7\/4, 5 in ascending order.\nAnswer: -3, -7\/4, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o + 12*o - 44 = 0. Let p = 11 + -5. Let d be (30\/4)\/(3\/p). Solve 3*m + 5*l + d = -o*m, 2*m + 8 = -3*l for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + s)*(2 - 1 - 2)*(-12 - 32 - 154 - 54) to d + o*s and give o.\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24a5c (base 14) to base 4.\nAnswer: -111323322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7465921917?\nAnswer: 3, 2488640639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + -6 + 2 + 10?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 26, 31, 36, 41?\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -0.131 (c) 5\/3 (d) -1\/4 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 168*f**4 + 44951*f**3 - 59410643*f**2.\nAnswer: 4032*f + 269706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 69715389 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3738.4 + -3738. Let p = 14 + 1. Suppose 4*l + 3 - p = 0. Which is the third smallest value? (a) l (b) k (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59099364?\nAnswer: 2, 3, 109, 15061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of -1\/5*g**5 + 1\/12*g**4 + 2\/3*g**3 + 0 + g - 1\/2*g**2. Factor s(h).\nAnswer: -(h - 1)*(h + 1)*(4*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(3\/7))**(3\/8) assuming k is positive.\nAnswer: k**(15\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1120 bigger than -1120?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 7056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + (-4 - 12) + 31 + (0 - 67).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(8\/4 + -3). Let c(i) = -i**3 + 1. Let q(v) = v**3 + 4. Determine h*c(s) - q(s).\nAnswer: -5*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o + 17. Let j be t(11). Let p be (j\/(-90))\/((-6)\/20). Which is the fourth smallest value? (a) p (b) 2.5 (c) 0.4 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 11:12 AM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109 is divided by 3\/(-9) + 2*145\/15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38844 and 34164?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - -110001?\nAnswer: 101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 38233511 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 17 + -13?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22642 (base 9) to base 7.\nAnswer: -62015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-105)\/(-42)*(-7)\/((-1050)\/(-8)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/((-7020)\/(-72))*90?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 - 1 + 6)*(0*k - 3*k + k) - 62 + 62 + 6*k)*((0*k + k - 2*k)*(k + 5*k - 4*k) - 3*k**2 + k**2 + 0*k**2).\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*w - 42 = -36*w. Solve -w*y + 8*y = -4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -7*h**2 - 81*h + 22. Let y(c) = 3*c**2 + 37*c - 11. Determine -4*j(q) - 9*y(q).\nAnswer: q**2 - 9*q + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 8 = 3*s - 1, -2*v - 3*s = -25. Let j(z) = 14*z**2 + 8*z - 6. Let m(c) = c + 1. Let k(o) = v*m(o) - j(o). Find the first derivative of k(l) wrt l.\nAnswer: -28*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 200101221 (base 3) in base 13?\nAnswer: 6151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -567*o**4 + 1084*o**4 - 3*o**2 - 21*o**2 - 560*o**4 + 3*o**2 - o**3 to the form w + d*o**3 + p*o + c*o**4 + i*o**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 11 (b) -3 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -22, -6, -4, -47 in ascending order.\nAnswer: -47, -22, -6, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 419180636.\nAnswer: 2, 7, 31, 79, 6113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 78581, 157109, 235635, 314159, 392681, 471201, 549719?\nAnswer: 628235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4*o + 69 = 2*l, -l - 2*o = -11. Suppose -l = -5*i + 2. Let y = i + -2. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13087?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.152 - -0.048. Let b = -42.2 + y. Let c = -36.34 - b. Round c to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*r**2 - 381*r**2 + 77*r**2 + 61*r**2 - 320*r**2 - 228*r**2.\nAnswer: -821*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156577262 is divided by 1195.\nAnswer: 1192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*t = -23*t - 42. Let l = -1 + 2. Calculate the smallest common multiple of l and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + 15)*((-18)\/(-4) + -2). Suppose 0 = 7*z - 2*z - f. What is the highest common divisor of 32 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c2 (base 16) to base 7.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 13 + d94d?\nAnswer: d961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of -x**5\/15 - x**2. Let j(h) = 9*h**2 + h. Let d(q) = 44*q**2 + 5*q. Let z(a) = 3*d(a) - 15*j(a). What is f(z(r))?\nAnswer: -36*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 83355761 to the power of 1\/3, to the nearest integer?\nAnswer: 437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -233, 1\/4, -4, -1 in increasing order.\nAnswer: -233, -4, -1, 1\/4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 78582a0 (base 11) to base 10\nAnswer: 13773540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fxj when three letters picked without replacement from {v: 1, n: 7, j: 1, c: 2, x: 1, f: 2}.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1834.47 and -0.269?\nAnswer: -493.47243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of -13*q**5\/20 - q**3\/2 - q**2 - 178*q. Suppose -3*m = -0*m + 3. What is the least common multiple of u(m) and 26?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 31*a**2. Let g(u) = -93 + 264*u**2 + 50 + 53 - 10. Calculate q(g(d)).\nAnswer: 2160576*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-70)\/6 - 2\/(-3). Suppose 2*a - 24 = -4. Let v = a + y. Is -4\/7 equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/5)*s)\/s*s\/(s\/(s*s*s**2)))**(-1)\/((s*s**(3\/2)*s*s**(1\/10))\/((s\/s**(-8))\/(s**(-3\/5)*s*s))) assuming s is positive.\nAnswer: s**(-2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1444217 and 65.\nAnswer: 1444282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 AM and 12:37 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z**2 + 5*z + 2. Let n be i(-3). Suppose 0 = y - n*y + 88. Suppose 4*l - 60 = -2*s, -3*l = l - 16. Calculate the greatest common divisor of y and s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -2*p**3\/5 - 4204*p**2 - 10388410*p + 3505683000 = 0.\nAnswer: -5405, 300","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, s: 7, m: 7}. Give prob of picking 1 x and 1 m.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 36890 or 36879?\nAnswer: 36890","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23489\/3198 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(121) - -1*sqrt(121))*1 - sqrt(121))\/(-1*sqrt(1100) - sqrt(1100)))**2.\nAnswer: 11\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -62099.15 rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 59704*w**3*y**2 + 510152133*w**3 + 549*w**2*y**3 wrt y?\nAnswer: 119408*w**3*y + 1647*w**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 51*p**2. Let d(s) = -141 + 141 - s. Give d(h(l)).\nAnswer: -51*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24218 + 48675. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3626 - 3642) + -2 + (-26 - 2)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 8, r: 2, u: 2}. Give prob of picking 1 r and 3 f.\nAnswer: 112\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, i: 4, w: 4, y: 8}. Give prob of picking 3 w and 1 i.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z - 5. Let q(f) = 44*f. Calculate c(q(a)).\nAnswer: 44*a - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 - 8*h**2 - 6*h + 4. Let v be t(-7). Let a be (-1 - 34\/(-6))*v. Does 3 divide (-6 + -1)*20\/a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 230200021 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 790 + 547. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a millennium in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*n**2 - 14*n**3 - 3*n**2 + 1 + 11*n**2 to the form z*n**2 + y*n + g*n**3 + v and give g.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29296 is divided by 14647.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 14*u. Let j(n) = -2*n. Give y(j(t)).\nAnswer: -28*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11912184 divided by 2511?\nAnswer: 4744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2103 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/5)\/k)**(-2\/153)*k*k\/(k\/((k\/(k*k*k**(-2\/7))*k*k*k)\/k*k))*(k*k**(-2\/19)*k)\/k)**(-44\/7) assuming k is positive.\nAnswer: k**(-6250024\/237405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2.8 (b) -2882 (c) 105\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.08 in -3, 2\/9, -0.3, 1.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3*j**3 + 781*j**2 + 23906*j - 577. What is f(288)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 451.7648l?\nAnswer: 451764.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h**2. Let n(z) = -6*z. Give n(d(g)).\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/12 and -29\/717?\nAnswer: 2868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 73*d**2 + 13*d + 9. Let t(c) = -73*c**2 - 11*c - 7. Calculate -3*h(m) - 4*t(m).\nAnswer: 73*m**2 + 5*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-16*60\/160)\/(-4*5\/30)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 163.\nAnswer: -3\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-52)\/(-65) + -2*1.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000008070651 to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**11)**(-2\/5)\/(j**(-9\/4)*((j**(3\/10)*j)\/j)\/j))**(-41) assuming j is positive.\nAnswer: j**(1189\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 212583 and 12492312?\nAnswer: 1113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-34707)\/9)\/((-3)\/27). Suppose 13607 = n + p. What is n rounded to the nearest one thousand?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i**3 + 8895*i**2 - 17775*i + 8885 = 0. Calculate i.\nAnswer: 1, 1777","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 - 3*l)*(3 - 3 + 3*l) + l**2 + 2 - 2)*(2*l - 4*l + 0*l).\nAnswer: 16*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-2\/7)*h)**(-11))**20)**(-15\/7) assuming h is positive.\nAnswer: h**(16500\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 + -0.2. Let l = 26 + -53\/2. Let d = -2013.7 - -2015. What is the nearest to 0.1 in d, k, l?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1283272 and 132?\nAnswer: 42347976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wt when two letters picked without replacement from {b: 1, w: 1, s: 2, t: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccb when three letters picked without replacement from {r: 3, n: 3, t: 1, c: 3, w: 3, b: 1}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2813687 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -0*a + 2. Let j be -2*(-2 - a\/(-4)). Find the third derivative of -3*h**3 + h**3 + 3*h**2 + h**j wrt h.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 4*f - 4 = 0, 3*q - 15 - 1 = -4*f for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -280\/411 - -2\/137. What is the nearest to n in -6, -0.5, 3, -0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2316 is divided by 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30596 + -1311. Let j = -585579\/20 + f. Calculate the common denominator of j and -107\/22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146091853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-35)\/(-40))\/(-7) + 2745\/20680. Is b bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 219288.\nAnswer: 2, 3, 9137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.46 - 0.04. Let z = 24.42 - c. Let h = z + -22.4. What is h rounded to 0 decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (c**3 + c**3 + 3*c**3)*(113*c - 42759 + 42759) - 5*c**4 - 31*c**3 + 31*c**3 to the form y*c**2 + j*c**3 + h*c + k + b*c**4 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16694046 and 7368?\nAnswer: 1842","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.263 to zero dps.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -837793218*z**5 - 124852954*z wrt z.\nAnswer: -16755864360*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (158 - 142) + 0 + -22\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2 - 592*h + 3480.\nAnswer: 2*(h - 290)*(h - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.941 + 0.091. Let m = -3.82 - k. Let x = m + -17.33. What is x rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/9 - 1230\/(-54). Suppose -27 = -2*r + 5*l, 3*r = -0*r + 4*l + x. What is the common denominator of 26\/11 and (r - (-6)\/(-5))*47?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) 2611 (c) 72 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-174)\/(-58)*((-2)\/15)\/1.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4581 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of 2*x + 0*x**2 + 422222\/3*x**3 + 4. Let y be p(-3). Round y to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - 200\/(-72) - 80\/(-360)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -41*n - 13 - 28. Suppose 3*u - u = -4. Let j = -0.2 - -1.2. What is the second biggest value in u, j, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (0 - 2) + (-357 - -365) - -5?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -5*g**3 + 3805*g**2 - 930160*g + 71595140 = 0?\nAnswer: 157, 302","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -5 (c) -4\/5 (d) 2.76\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 906356360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 453812 divided by -6\nAnswer: -226906\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 89*c**3 - c + 1. Let k be y(1). Find the third derivative of -h**2 - 102*h**6 + k*h**6 - 11*h - 41*h wrt h.\nAnswer: -1560*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -30 - -1a5?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 + -8. Let m = -6 + v. Suppose 5*q - 14 = 3*k, 0 = -2*k - q - 4*q - 1. Sort k, -2, m in descending order.\nAnswer: m, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**4 - 253*j + 2*j**3 + 253*j)*(46 + 104 - 2).\nAnswer: 148*j**4 + 296*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from riphtii. Give prob of sequence hit.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -10*i - 9*i**2 + 15*i - 5 + 9*i + 12*i - 21*i. Let d(f) = -14*f**2 - 7 + 5*f - 1 + 3*f. Let k = -40 - -35. What is k*d(t) + 8*g(t)?\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -1767*h - 5254. Give a(-3).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 12:43 AM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 179 divide 75645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 172415311*d**3 - 10407230*d**2 wrt d.\nAnswer: 1034491866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5 - 1 - (-55 + 59). Solve m + g = -3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 37354830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of 187*x**5\/30 + x**4\/24 - x**3\/6 + 350*x**2. Suppose -9 - 1 = -5*d. Is n(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 273608329 to the nearest integer?\nAnswer: 16541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -15991207.9 rounded to the nearest 1000000?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11.669 - 11.6032. Is c smaller than -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.39 (b) 3\/13 (c) 1 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, x: 2, y: 6, z: 6}. What is prob of picking 1 z and 3 m?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 4*x**2 + 8*x - 23. Suppose 468 = 10*b + 26*b. Is u(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2309654 rounded to four decimal places?\nAnswer: -0.231","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from seeesesoseesossssee. Give prob of picking 2 e.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -1063*w**3 + 323 - 3*w - 326 + 6*w**2 + 1064*w**3. Let l(a) = 2*a. Let b be l(-3). Determine g(b).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -4, -127.2, -1, -3, 2\/3, 2\/23?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -608*h + 692. Give t(1).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 10:22 AM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(891) + 2 + sqrt(891) + sqrt(891))*6)**2 + (0 + -1 + sqrt(891) + 2)**2.\nAnswer: 35010*sqrt(11) + 2600344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -119 - 136. Suppose 3*c - 48 = -33. Calculate the remainder when o\/34*(-4)\/c is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32587?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8834*l + 8832*l + 553 = 17*o, -o = l - 29 for o.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.026? (a) 0 (b) -2 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 152 and 263411896.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -5567*f**2 + 1. Let j(s) = 130*s. Give j(n(u)).\nAnswer: -723710*u**2 + 130","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 197*r - 5. Let s(b) = 9 + 673*b - 14 + 607*b - 27. Let m(u) = -32*l(u) + 5*s(u). Let j(f) = 2*f**2. Give m(j(n)).\nAnswer: 192*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1.3 (b) -19 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2156121.036 rounded to the nearest one hundred thousand?\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9220112?\nAnswer: 2, 11, 52387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 403\/253 + 4\/46*(-390)\/(-780).\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 534126570.\nAnswer: 2, 3, 5, 17, 1047307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -13. Let u = 22 + -24. Which is the closest to -1\/4? (a) z (b) u (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-33) - (-298)\/(-447)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 311533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*j**3 - 5980*j - 583930 wrt j.\nAnswer: -42*j**2 - 5980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 4*j**2 - 12*j + 7. Is h(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -0.5, 2\/47, 11 in ascending order.\nAnswer: -0.5, -0.3, 2\/47, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 9720.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 9005, 8737, 8469, 8201?\n\"Answer: -268*p + 9273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**5\/2 + 15*g**4 + 60*g**3 + 120*g**2 + 120*g + 48.\nAnswer: 3*(g + 2)**5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1199 is divided by 645.\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -7*r**3 - r**2 + r + 1. Determine m(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -l + 3*t + 39, 2*t - 24 = -5*l. Suppose 0 = -h + l*h. Suppose 0 = -2*x + 5*o + 33, x + 2*o + 6 = h. Solve 2*i - 3*i - x = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1621 (b) -0.2 (c) 271 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 m when two letters picked without replacement from affaqaaffmfhhhf.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of n**5\/5 + n**4\/12 - n**3\/6 + 4*n**2 + 6*n. Let x(b) be the first derivative of j(b). What is the tens digit of x(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7621614 is divided by 2304?\nAnswer: 2286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1868*n = 1867*n + v + 40, -73*n = v - 2920 for n.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1995 and 145.\nAnswer: 57855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c (base 15) to base 9.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 330121320?\nAnswer: -330121321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of 11*h**6\/180 + 3*h**5\/40 + 8*h**4\/3 + 8*h. Let f(w) be the third derivative of y(w). Is f(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 339\nAnswer: -1\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -l - 2*l. Let z = -1 - -3. Let h = -4 + 6. Solve 4*s = 2*f, 0*s - h*f = -z*s - l for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, 5, 467 in descending order.\nAnswer: 467, 5, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -46*y**5\/11 + 3208*y**4\/11 - 55096*y**3\/11 - 14592*y**2\/11 = 0. Calculate y.\nAnswer: -6\/23, 0, 32, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**0*r)**(-26\/7)\/(r**(-2)\/r*r*r*((r\/((r*r*r*r**(-6\/11)*r)\/r))\/r*r)\/r*r*r*r*r)*(r**(-1)*r\/(r*r**(-4)\/r))**(19\/2) assuming r is positive.\nAnswer: r**(2598\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**3 - 3*j + 3*j)*(-1883*j + 1116*j - 3*j**2 + 4*j**2).\nAnswer: -j**5 + 767*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5624 and -5680.5.\nAnswer: -11304.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19 and 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ehesoershfeshhrfr. What is prob of sequence ef?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of -5*f**2 + 71*f - 2291. Calculate a(8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/y**(-12\/11)*y)*y)\/((y**(-8\/3)*y)\/y) assuming y is positive.\nAnswer: y**(52\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 367776 and 20.\nAnswer: 1838880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -25*v**3 + 1635*v**2 - 14040*v + 35180. Let x(r) = -2*r**3 + 126*r**2 - 1080*r + 2706. Let s(n) = 3*f(n) - 40*x(n). Factor s(w).\nAnswer: 5*(w - 15)*(w - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - 1 - (5 - 10). Let s be (-1 - (-107)\/2)*h. Suppose 5*a = -f + s, -a + 84 = a + 2*f. Does 17 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -479\/33 + 156\/11. Suppose 13 - 29 = -4*o. Let s be ((-5)\/o)\/((-6)\/24). Which is the nearest to 1? (a) f (b) s (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q - 42. Let u = -6419 - -6443. Calculate c(u).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13304500 by 6652250.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -7. Let l(q) be the first derivative of -q**2\/2 + q + 2. Is l(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/((-352)\/(-12))*-1?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 47529 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*k**2 + 260*k**2 - 93*k**2 - k - 84*k**2.\nAnswer: -4*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-622)\/(-4) + 1)\/214. Let b = 2\/107 + o. What is the closest to 6 in -2, -4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/5, 167, 3, 2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 22*u - 205. Let f be j(8). Let p = 15 - 12. Suppose -9 = 5*o - w, -5*w + 0*w + 23 = -p*o. Which is smaller: f or o?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6\/25 of a meter?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, 4, 4036, -5, -38 in decreasing order.\nAnswer: 4036, 30, 4, -5, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - 5*r**2 - 3*r + 3. Suppose -h - 8 = h. Give s(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -3*g**2 - 16*g - 134. Let z be l(-9). Let h = 495 + z. Is h a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -0.3, 3\/2, 2\/429, -4, -0.07?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + 8 + -13 + 1.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 19*n + 5 - 2*n**2 - 9 - 3*n. Let p be o(8). List the prime factors of p + 6\/3 - -16.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {u: 9, v: 1, k: 1, s: 2}?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**4 - 8785*j**3 - 13182*j**2.\nAnswer: j**2*(j - 4394)*(2*j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 4 + 18. Let w(k) be the first derivative of k**3\/3 + 4*k**2 - 3*k + 2. Calculate w(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2607, -2533, -2409, -2235, -2011, -1737?\nAnswer: -1413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z**2 - z - 1. Let q(x) = -14*x**2 - 53*x + 99. Let c(m) = q(m) - 6*t(m). Find the first derivative of c(u) wrt u.\nAnswer: -4*u - 47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2\/7 - 2360262*t\/7 + 2360265\/7.\nAnswer: -3*(t - 1)*(t + 786755)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-5*(0 + 3 + sqrt(1100) + (sqrt(1100) - (1 + sqrt(1100) + 3)) + sqrt(1100) + 5))**2.\nAnswer: -441600 - 16000*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2961766*w. Let j(x) = -2*x. Calculate j(i(s)).\nAnswer: 5923532*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 70 and 6580?\nAnswer: 6580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s - 4*s - 1424 + 1499 to the form m + g*s and give m.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -3*l**2 - 16*l - 33. Let b be k(-3). Let r(h) = -38*h + 154. List the prime factors of r(b).\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1673 = 4*n + 5*x, n + 4*x - 353 = 57. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u + 49. List the prime factors of s(-14).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bzbzbzazzzbaazzaa. What is prob of picking 2 b and 1 a?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 657*i**3 + 396 wrt i.\nAnswer: 1971*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 7\/5 (b) 1\/6 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -j**5 + 15998*j**4 - 2*j**3 - 162619*j**2 wrt j?\nAnswer: -60*j**2 + 383952*j - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide 9137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.19*40.\nAnswer: 7.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/23, -0.5, -0.2, -54756, -0.3?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 + -24. Let n = b - -193\/5. Is n equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/4 of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmdm when four letters picked without replacement from ttkdkthmmmkthtdhdm.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 12, 25, 40, 57?\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.5 - -2.5. Let n be 6\/(-44)*(-40)\/28. Let j = -1\/11 - n. Which is the third smallest value? (a) -0.43 (b) j (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -3. What is the common denominator of (-1 - -1) + (-62)\/18 and u + (-9)\/6 + 3?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in five quarters of a micrometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24.544 + 25. Let w = q + -101.856. Let f = 101.40000409 + w. Round f to 7 decimal places.\nAnswer: 0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s**5 + 5756*s**4 - 2061996*s**3 - 6330188*s**2 + 32992960*s + 99809472 = 0 for s.\nAnswer: -4, -3, 4, 721","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -408 divided by -3?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 - 9. Calculate the remainder when 77 is divided by h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21982 = 724*v + 76282 for v.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 651 a factor of 1044204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -5*u - 22, 2*u + 20 = -2*u. Suppose 10 = 5*z - a*m, -2*z - 3*m + 4 = -0. What is the third derivative of -5*w**6 + 4*w**6 + 5*w**z - 4*w**6 wrt w?\nAnswer: -600*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7, l: 3}. Give prob of picking 3 l and 1 z.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60707 is divided by 1350?\nAnswer: 1307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -131750 (base 10) to base 6\nAnswer: -2453542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) 0.1 (c) 1 (d) 3\/41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/22 + (-14)\/(1232\/(-1816)). Suppose -2*r + 28 = p, 3*r + 2*r = -2*p + 70. What is the highest common divisor of l and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**4\/9 - 56*k**3\/9 + 2*k**2\/3 + 6004*k\/9 - 11552\/9 = 0. Calculate k.\nAnswer: -19, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -364 - 394. Let q = -425 - z. What is the greatest common divisor of 37 and q?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 45 - 43. Suppose 2*m - n*d + 73 = 5*m, 0 = 4*d - 8. List the prime factors of m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -4, 5*h + 43*l - 13 = 40*l for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 + 2)*15\/10. Let t be 3 + 18\/l - 0. Which is the nearest to 8? (a) 2 (b) 3\/4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*g + t - 13, -5*g - 27 = 9*t - 79 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dzl when three letters picked without replacement from {m: 1, b: 1, z: 2, d: 1, l: 2, h: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeplkplppklkppekk. What is prob of sequence klkl?\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1358)\/(-1386) - (2 + -1). Let w = i + -1\/11. Which is the nearest to w? (a) -2 (b) 3 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-48)\/36)\/(98\/102 + -1) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/11, 4, -2\/3, -6, -1005325?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 350 and 609.\nAnswer: 30450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -235.88*-16\nAnswer: 3774.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 21144.7 and -0.3?\nAnswer: -6343.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 5*i + 30 = -7*h, -h + 4*i = 9 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.47, 1\/3, -167, 131?\nAnswer: -0.47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 2*w - 2 = 4, g = 2*w + 6. Suppose 34*s = -24*s - 5*s. Solve 2*z = h + 4, s = -g*h - 3*z + 5*z - 8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14332 - -14015.85. What is x rounded to zero decimal places?\nAnswer: -316","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7968, -15703, -23214, -30501, -37564, -44403, -51018?\n\"Answer: 112*a**2 - 8071*a - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 54 + -152 + 52\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r - r - r + 0. Let i(g) = 2*g**2. Calculate i(z(l)).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 7*m - 44. Suppose 2*g = 97 - m. What are the prime factors of g?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6169? (a) -0.3 (b) -2\/579 (c) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17246 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23 - 2*q - 2*q**3 + 13 - 2*q**3 + 8 + 7*q**2 + q**4 + 12 to the form h + b*q + m*q**2 + c*q**4 + g*q**3 and give h.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1\/17, 0.1, -37876.\nAnswer: -37876, 1\/17, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/((-2)\/232*-4). What is the greatest common factor of b and 232?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13890?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 14, y: 4}. Give prob of sequence fyy.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 3496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.9, 3\/7, -0.23, 1\/7, 0.01, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -175*c - 176*c + c**3 + 651*c - 115*c - 185*c.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/64 and -19\/80.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1796 - 404 = -676*q + 636*q for q.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = -8, -5*g - 163*a = -158*a + 20 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - 30*y**2 + 30. Let d(z) = -z**3 + 61*z**2 - 59. Let m(f) = -5*b(f) - 2*d(f). What is the smallest common multiple of m(9) and 35?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44\/11 + (260 - 2 - -1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 0.4. Suppose -4*x + 8 - 16 = 0. Which is the closest to x? (a) j (b) -3 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33483.61 + 1.5572\nAnswer: -33482.0528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 + -1.1. Let q = -0.31 - -0.22. Let j = -0.49 - q. Which is the second smallest value? (a) 1\/4 (b) m (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4186.6 rounded to the nearest one hundred?\nAnswer: -4200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -40515379 equal to 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 7:44 AM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 17907 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (273\/(-49) - -6)*2\/3\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 c when two letters picked without replacement from {c: 2, t: 10, d: 3}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25914 is divided by 25873.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1172, 2310, 3450, 4592, 5736, 6882, 8030?\n\"Answer: h**2 + 1135*h + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 j, and 2 i when four letters picked without replacement from {a: 1, b: 1, c: 2, i: 2, j: 1, r: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b*b**6\/b)\/b**3*b**(1\/3)\/((b**(2\/11)\/b)\/b*b)*(b**2\/(b\/(b*b\/(b**(1\/6)*b))))**(11\/6) assuming b is positive.\nAnswer: b**(3767\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 18*d + 3 - 51510*d**2 - 21*d + 51549*d**2.\nAnswer: 39*d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 2*h**3\/11 + 46*h**2\/11 + 32*h + 896\/11 = 0?\nAnswer: -8, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -113, 3, -5, -626 in decreasing order.\nAnswer: 3, -5, -9, -113, -626","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 6 - 27*f + 2 + 10*f + 0 - 5. What is b(-1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 5*b - 32. Suppose 113 = b*p - 127. Suppose 28*v - p*v + 12 = 0. Does 5 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12931?\nAnswer: 67, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -11*s**2. Let d(h) = -6615*h. Determine d(m(r)).\nAnswer: 72765*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -101 - -125. Let q be (w\/(-4))\/(18\/12). Let r be -2 - 2*(-6)\/(-4). What is the second smallest value in r, q, -0.07?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-20)\/(-5) - (-488)\/2. Let l = -243 + i. Solve 5*v + 27 + 8 = 5*r, 0 = v + l for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 351 and 135.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19.7 - -19.699826. Round m to 5 dps.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3028, -2422, -1816, -1210, -604, 2?\nAnswer: 608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -4*o**2 - 19*o - 2. Let h(j) = -9*j**2 - 39*j - 5. Let i(k) = -3*h(k) + 7*p(k). What is the smallest common multiple of i(-15) and 6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1840120 rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 10115, 21785, 33455, 45125?\n\"Answer: 11670*n - 1555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.11000069 * 3\nAnswer: 0.33000207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13136 - 55560?\nAnswer: -102026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -536659104 divided by 31?\nAnswer: -17311584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3+59.3774\nAnswer: 62.3774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 21102 (base 5) in base 3?\nAnswer: 1220221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-322)\/(-21) + 2\/(-6). Solve 0 = -3*s - 0*s - x for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -57, 0, -40, -9 in decreasing order.\nAnswer: 0, -9, -40, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(325) + 4 + sqrt(325) + sqrt(325) + sqrt(325) - (sqrt(325) + -2)*-3)*5)**2.\nAnswer: -5250*sqrt(13) + 398350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52686 to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 4*r**3 + r. Let m = -17 + 16. Determine g(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 243*b + 7770 - 1125 = -4047 for b.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 plus 1.89?\nAnswer: 2.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -36 divided by -23\nAnswer: 36\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/96 and 7\/36?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h**3 - 2*h**2 - 10. Let x be u(-3). Suppose -k + 42 = x. Calculate the smallest common multiple of 236 and k.\nAnswer: 944","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 164*0.17.\nAnswer: 27.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*w*z**4 + 2*w*z**2 + 2*w*z + 19*w + 4*z**5 + 3*z**3 wrt z?\nAnswer: 72*w*z + 240*z**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*g**3 - 7*g**3 - 3*g**3 + (-6*g**3 + 4*g**3 + 0*g**3)*(2 - 4 + 0).\nAnswer: -11*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*o + 2*o**2 + 7*o)*(-2 + 1 - 2)*(-3 + 0 + 5)*(7*o**2 - 2*o**2 - 2*o**2)*(-15 + 2 + 30).\nAnswer: -612*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + 4*j**2 - 6*j - 6. Let t = 24 + -2. What is the smallest common multiple of v(-4) and t?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 13*k**2 + 14*k + 3. Let s be g(14). Let c be s*(-8)\/(-12) - 0. Solve -4*u + 2*t + 2 = -12, -2*t = -u + c for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 + 16*c + 17. Let f be z(-15). Suppose -2*h - 14 + 4 = 0, 0 = -5*b + f*h + 25. Let m(y) = b*y - 3*y - 6*y. Let p(n) = 2*n**2. Determine m(p(g)).\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -36920 divided by 710?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -181 + 183. Let a(r) = 493*r + 81. What is the units digit of a(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -3, -2, 1, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3357685 to the power of 1\/3, to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 48732118 to the nearest integer?\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1346 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 u = 34 + -30. Calculate the smallest common multiple of 4 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 224\/48*(-24)\/14.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**3 - 5*s**2 + 4*s - 6. Determine n(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 189*b**2 + 2418*b + 440. Determine c(-201).\nAnswer: -766","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b**2 + 7*b + 7. Let r be f(-3). Suppose 0*c + 332 = r*p + 4*c, 68 = p - 4*c. What is the remainder when p is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - 1637?\nAnswer: -1637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l - 9*l - 204 = 0. Does 17 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 234 - 3?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0345397 rounded to four decimal places?\nAnswer: 0.0345","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 n when four letters picked without replacement from {n: 7, y: 1, j: 3, x: 6}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 1)*(9 + 3*u - 9)*(-38*u**3 + 2733*u - 2733*u) to v*u**3 + o*u**2 + x*u**4 + b*u + i and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 2176093?\nAnswer: 4\/2176093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.0584 in 5, 2\/7, -2, 0.5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-3 + 6 - (7 - 2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11785 - -11795. Solve -6 = -5*n + 3*i + 11, -2*n = -2*i - j for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-15)*b**38*b assuming b is positive.\nAnswer: b**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8389 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -657*-8.94\nAnswer: 5873.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 815 divided by -14001.\nAnswer: -815\/14001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 6, -55, 0.4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.4 + -0.1. Let i = -4 - y. Let q(w) = -w**2 - 2*w - 1. Let j be q(-2). Which is the nearest to j? (a) 4 (b) -0.4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -232 = 3*m + m, -z = -0*z - m + 4*m + 5*m + 467 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3002 and 0.0372219.\nAnswer: -3001.9627781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -376181\/33 - -11398. Let l be 6\/15 + (-63220)\/157925. Let z = l + 195905\/246363. Calculate the common denominator of z and a.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.1 and -6104.\nAnswer: -6102.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d**2 - 4*d - 3. Let s be x(-1). Let m = 213.4 + -213. Which is the second biggest value? (a) m (b) -37 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 61802875 to the nearest integer?\nAnswer: 7861","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-2\/3)*u)**(-3) assuming u is positive.\nAnswer: u**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9.5, 371, 1\/3.\nAnswer: 1\/3, 9.5, 371","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 147390, 294718, 442024, 589296, 736522, 883690?\n\"Answer: -2*p**3 + p**2 + 147339*p + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - d = d - 1 + 11, 10*p + 8368 = 3*d + 8411 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*sqrt(297)*-2)\/(sqrt(9) - (sqrt(9) + sqrt(9) + sqrt(576)*-2 + sqrt(576))))\/(sqrt(147)*-1*6*4))**2.\nAnswer: 11\/38416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4455, -3, 3 in ascending order.\nAnswer: -4455, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y + 3*l + 140 = -4*y, 2*y + 5*l = 56. Let a be y\/49*42\/12. Solve -4*c - 2*j - j - 23 = 0, -9 = a*c + j for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -229 + 19 = -3*q. Suppose -4*x + q = 4*s + 10, -4*s - x = -60. Solve -p + s = 4*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 86 + -56. Let p be (-3)\/5 - (-63)\/z. Is p at least 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 823021 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1375801.\nAnswer: 7, 196543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 49289351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of -2*m**3\/3 + 3469. Let q(d) = -474*d**2 - 2. Calculate o(q(l)).\nAnswer: -449352*l**4 - 3792*l**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 2*i**4\/11 - 12822*i**3\/11 + 774320*i**2\/11 + 2412744*i\/11 + 1625600\/11 = 0.\nAnswer: -2, -1, 64, 6350","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 5*o**3 - 2053*o**2 - 2946*o + 25535. What is d(412)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1271\/4 + -318. Let y be 204\/180 - (-1)\/5. What is the closest to p in 0.4, 4, y?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of a**2\/2 - 5*a - 2. Let b = 2679 + -2673. Give n(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeoooeeoloo. Give prob of picking 1 e and 2 o.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 470476296?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of 1\/24*z**6 + 0*z - 4 - 1\/20*z**5 - 1\/16*z**4 + 1\/12*z**3 + 0*z**2. Factor m(a).\nAnswer: a**2*(a - 1)**2*(a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 PM and 1:46 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/((-9)\/(-4) - 2). Suppose 2*b = -0 + s. Let p be 31 - 2\/(-2) - 4. Solve -3*k + 5*n = p, 0*n = -k - b*n + 9 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + 8*w**2 - 13*w - 17. Let u be g(-5). Suppose 0 = -19*r + 14*r + 205. What is the highest common divisor of u and r?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 28*i. Let j(k) = -2*k**2 + 8*k. Let x(o) = o**2 - 3*o. Let p(u) = -3*j(u) - 8*x(u). Give p(v(f)).\nAnswer: -1568*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12.95 and 164.08?\nAnswer: -2124.836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001512638759 to 6 decimal places.\nAnswer: 0.000151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/4*2\/(6 - 4)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + w + 8 = -3*w, -5*c + w = -20. Suppose -5*x + 7 = -3. Solve -x*q - 2 = -c*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/10 and 17\/764.\nAnswer: 3820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 PM and 5:01 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18064 + 16*z - 30*z + 18052 - 27*z to the form y + a*z and give y.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1092168541 rounded to the nearest one million?\nAnswer: -1092000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1338943.\nAnswer: 1009, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 135 and 301083?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 4451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3623077 take away 0.3?\nAnswer: 3623076.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + 3*g**2 + 5687 + g**2 - 5678 + 5*g. Give h(6).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115407147703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 649 - 1295\/2. Put -0.1, 1.4, r, 0 in descending order.\nAnswer: r, 1.4, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -2*i - i - 166, -2*t - 5*i = -166. Calculate the remainder when t is divided by 2\/7 + (-225)\/(-21).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d - 13 = -0*d. What is the common denominator of ((-41)\/(-492))\/(d\/(120 - 1)) and -115\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3196384187 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) 231756 (c) 1\/7 (d) 1\/3 (e) -5.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 6724645.1 to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 23, 33, 43, 53, 63?\n\"Answer: 10*k + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2362*r**2 + 3769758*r - 9576 = 0. What is r?\nAnswer: 3\/1181, 1596","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6381 is divided by 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -179 from 483.\nAnswer: 662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p. Let f(z) = -3*z - 2. Give l(f(a)).\nAnswer: -6*a - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 4980753 = 4*i - 4980733, -7*m - 4*i - 40 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 282, 1138, 2564, 4560, 7126, 10262, 13968?\n\"Answer: 285*i**2 + i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, 67, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 + 0 + -3 + 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 0. Let o = 0.07 - -0.13. Let r = -0.5 - -0.9. Which is the closest to o? (a) 4 (b) d (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72780?\nAnswer: 2, 3, 5, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y**3 + 2*y**3 - y**3)*(483 + 35*y**2 - 483 + (-3 - y + 3)*(1 + 4*y - 7*y - 2)).\nAnswer: 228*y**5 + 6*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, 0.2, -0.2, 3, 5\/3 in decreasing order.\nAnswer: 38, 3, 5\/3, 0.2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -163107 by 3.\nAnswer: -54369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -621957 or -2?\nAnswer: -621957","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-16)*-2*(120\/450)\/(-1)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.5 (b) 3 (c) 50 (d) -2.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - -36)*(-167)\/(-15056). Let q = -2\/941 + l. Let k = -13247.4 - -13247. What is the fourth biggest value in k, q, 1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12406130 (base 8) to base 10\nAnswer: -2755672","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 24742458.\nAnswer: 9896983.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/10)\/(18\/495). Let d = -8 - -2. Let v(x) = 15*x + 4. Let z(q) = 4*q + 1. Calculate d*v(k) + s*z(k).\nAnswer: -2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, f: 3, h: 4}. What is prob of picking 2 x?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1.5 (b) -0.1298 (c) 0 (d) 3 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1307 is divided by 120?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y + 4*i - 20, 3*y + 527*i - 12 = 530*i for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40267 and 5293.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -219*i - 3 + 441 = -73*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 158763 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -0.39722?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*b**2 - 3*b**2 - b**2)*(2*b**2 - b**2 - 3*b**2) - 2*b**4 + 6*b**4 - b**4)*(2 - 2 + 4*b).\nAnswer: 28*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 18 = -6 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*r + 0*i - 2*i + 21 = 0, -2*i - 37 = 2*i - 16 - 17 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/2 + 1608*y**2 - 12888*y + 25792.\nAnswer: (y - 4)**2*(y + 3224)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2*(-6)\/4)\/(-1). Let l(b) = b**2 - 4*b + 2. Let o be l(w). What is the third biggest value in -5, 0, o?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12458 is divided by 4114.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76883 - 76883 - 150*t + 141*t.\nAnswer: -9*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165326?\nAnswer: 2, 7, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {m: 7, h: 9, i: 2}?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14719*q - 23062*q - 14047*q - 16263*q.\nAnswer: -38653*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -3*u. Let o(y) be the second derivative of -6 + 0*y**3 - 1\/2*y**2 - 2*y - 7\/12*y**4. Give o(w(i)).\nAnswer: -63*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - 10100101?\nAnswer: -10101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -318 = -3*s - 87. Let r = s + -23. Suppose 3*t - 2*o = 2*o + 54, -3*t = 2*o - r. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than 226879?\nAnswer: 226880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -42*w**5 - 988*w**4 - 7466*w**3 - 23056*w**2 - 25248*w = 0. What is w?\nAnswer: -263\/21, -4, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 3*v = 33, 224*v = -a + 220*v + 11 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(72\/(-16))*18?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 763.7 - 764. Which is smaller: -39 or v?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/sqrt(36) + (sqrt(133) + (sqrt(133) - (sqrt(133) + sqrt(133) + (sqrt(133)*-1 - sqrt(133)) - sqrt(133))))\/sqrt(7).\nAnswer: 10*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 544\/1361 <= -0.125?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l**4\/5 - 50709*l**3\/5 - 172584*l**2 = 0. What is l?\nAnswer: -17, 0, 16920","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -99*f. Let q(t) = -6*t**2 + 52*t**2 - 51*t**2. Give j(q(u)).\nAnswer: 495*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 79.67, 2 in decreasing order.\nAnswer: 79.67, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-56))\/(325\/195650)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -63019 times -1?\nAnswer: 63019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -174 - -179. Which is the second biggest value? (a) u (b) -0.4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -5*h**3 - 68*h**2 + 19*h - 55. List the prime factors of p(-16).\nAnswer: 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 233, 938, 2137, 3848, 6089, 8878, 12233, 16172?\n\"Answer: 3*h**3 + 229*h**2 - 3*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*19\nAnswer: -5.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 2 - 193\/(-1737).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 14 - (4 - (-21 + 42))\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f - 192513 + 192513.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**0*x)*x**0*x*(x**(2\/5)\/x*x)\/(x**(-5)\/x))\/(x**(-3)\/x**(-5))**(1\/30) assuming x is positive.\nAnswer: x**(22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14938 and 7954.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -164*o**5*u - o**3*u**2 - 1127*o**2*u**2 - 3*o**2*u wrt o?\nAnswer: -9840*o**2*u - 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 46 - 42. Suppose 0 - g = -q. Let k be 12*q*3\/24. Are 8 and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*sqrt(65) - sqrt(65))*3 + sqrt(65)*2*-1)\/(sqrt(405)*-1*-6*-2))**2.\nAnswer: 13\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**5\/6 - 494*c**4 - 732099*c**3\/2 + 13347*c**2 + 9910134*c + 19766916 = 0. Calculate c.\nAnswer: -1482, -3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 2 = -2*j + 11, 0 = -4*p + j + 15. What is the units digit of 1\/((-3)\/(-27)*p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-4\/5)*t**0)**(1\/14))**(-29) assuming t is positive.\nAnswer: t**(58\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -676*v**2 - 13232 + 13232.\nAnswer: -676*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 8*k**3 - 6*k**2 + 5*k + 6. Let c(v) = -9*v**3 + 7*v**2 - 6*v - 7. Let h(b) = -5*b + 23. Let q be h(10). Let y = 34 + q. Determine y*i(f) + 6*c(f).\nAnswer: 2*f**3 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*p - 5*w + 10*w - 5 - 20, 4*w = 11*p + 20 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 33180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 v when two letters picked without replacement from vns?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 29, 21, 1, -37, -99, -191?\n\"Answer: -o**3 - o + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32007\/6650 - 13\/475. What is the common denominator of -83\/12 and y?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 298 is divided by 76.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 - (-1 - 0 - 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f - 2. Let z(c) be the first derivative of c**2\/2 + c + 8. Calculate v(q) + 3*z(q).\nAnswer: q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 0.05 (c) 3 (d) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -6*m**2 + m + 1. Let r(g) = -59*g**2 - 6*g + 11. Determine -2*r(x) + 22*z(x).\nAnswer: -14*x**2 + 34*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 3*k**3 - 8*k**2 - 6*k - 25. Is c(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-45))\/((-10)\/(-15)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -154 + 143.02. Let f = 0.26 - -10.74. Let r = c + f. Is 0 bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 9*g**2 + 6 - 10.\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 10*j - 6. Suppose -52108*z - 42 = -52114*z. Give a(z).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-16 + 3) - (0 - (2 + -1))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -15*y**2 - 2*y - 1. Calculate l(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 5*q, 123*l - 120*l - 2*q - 22 = 0. Solve 0 = -2*d - l*d - g - 11, 3*d = -g - 9 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 203095365?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34 + 32.85. Let b = 0.05 - i. Let c = 0.2 - b. What is the biggest value in c, -2\/5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 16*u**2 + 2457*u - 1058. Calculate m(-154).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**5\/3 + 16*r**4\/3 + 4*r**3\/3 - 32*r**2\/3 - 2*r\/3 + 16\/3 = 0. Calculate r.\nAnswer: -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of 5*m**8\/168 + m**7\/35 - m**6\/5 + 2*m**5\/15 + 14*m**2. Determine v, given that a(v) = 0.\nAnswer: -2, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -242*z + 221. Let m(y) = 81*y - 73. Let k(h) = 6*f(h) + 17*m(h). What is the derivative of k(i) wrt i?\nAnswer: -75","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6 + 768\/(-10))\/(2\/(-5))?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5813?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*z**5 + 23*z**2 + 86*z wrt z?\nAnswer: 40*z**3 + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-2)*(-6)\/2. Let j(p) = -t*p**2 + 210*p - 210*p + 4*p**2. Let d(h) = -12*h**2 + 10*h**2 + 22*h**2. Determine j(d(m)).\nAnswer: 400*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/12*1 + 87\/18. Suppose -4*u = -4*f + 472, 0 = b*f + 4*u - 563 - 45. Is 8 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12*(-4)\/140)\/((-110)\/275).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -13671 divided by 1360?\nAnswer: -13671\/1360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, 10, 54, 116?\nAnswer: 196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-28)\/945)\/(0 - (-1)\/(-10)) and -149\/30.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 1 + 1 - 4030302*v + 896968*v. Let a be (2 + -1 - -2)\/1. Let k be p(a). What is k rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4774)\/105)\/11 + 3 + 1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/14*2\/4\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q + 16. Let o be i(7). Suppose 4 + 4 = o*a. Suppose 0*s = a*w + 4*s - 120, 0 = 2*w + 5*s - 45. What are the prime factors of w?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 4 - 4034*a**2 - 4 + 4033*a**2. Let z(t) = 69*t. Determine z(i(y)).\nAnswer: -69*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 5*a + 5*u + 6, 3*u + 2 = a. Let d be a\/((12\/4)\/(-6)). Does d = 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2663273 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2485?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/71616400 and 29\/48.\nAnswer: 214849200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 950 + 176. List the prime factors of d.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of h**6\/30 + 3*h**5\/80 - h**4\/48 - 1225*h. Factor l(c).\nAnswer: c**2*(c + 1)*(4*c - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6.612 from -0.3.\nAnswer: -6.912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 2*z. Suppose 0 = -z*u - 4*u. Suppose -2*f + 1 + 3 = u. Solve -2 = -0*r - f*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 2:21 PM?\nAnswer: 10:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 130 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 108022, 432053, 972114, 1728211, 2700350, 3888537?\nAnswer: 5292778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1634, 1648, 1670, 1700, 1738?\n\"Answer: 4*i**2 + 2*i + 1628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*v + v + 0*v - 19*v - v - 12*v + (-4 + 5 - 3)*(4 - 4 + v) to the form d*v + a and give d.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 + 15. What is the highest common divisor of 2 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -3*u + 3*c, -2*u - 2*c - 287 = -265 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (14\/21)\/(-1 - 5)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 2*b = -26, -t - 2*b + 4*b = -8. What is the third derivative of 12*f**t + 3*f**5 - 33*f**5 - 43*f**2 - 14*f**6 wrt f?\nAnswer: -240*f**3 - 1800*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 359303560 a multiple of 1540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of i + 4*i - 20*i**3 + 21*i**3 wrt i.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*g**2 + 27*g**2 + 1 - 3 - 6*g**2 + 10*g**2 to the form d + i*g + w*g**2 and give w.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8347, -16694, -25043, -33394, -41747, -50102?\nAnswer: -58459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 902 + 5?\nAnswer: 907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2*j - 5*j - j)*(-3 + 3 - 2) + 5*j + j - 5*j + (-1 + 1 - j)*(-5 + 3 + 4) - 2*j - 3*j - 7*j)*(-2 - 2 + 1) in the form h*j + u and give h.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 4 = -r + 6, 0 = -2*r + h for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 58160380.3174 less than 0.3?\nAnswer: -58160380.0174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(4)\/sqrt(2) - (sqrt(2) + (sqrt(2) - -1*(sqrt(6)\/sqrt(3) - sqrt(2)))) - 3*(-1 + sqrt(98) + -4)**2) + 5.\nAnswer: -364 + 204*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 5*t - 22 = -72, -3*t - 16 = -s. Let o = s + -3. What is the second derivative of 4*f**4 - 5*f**4 - f**4 + o*f + 4*f**4 wrt f?\nAnswer: 24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*a**2 + 0*a**2 - 2*a**2 - 4*a - a**2 as m + u*a**2 + k*a and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of 13 - l**2 + 1\/20*l**5 + 0*l**3 - 1\/3*l**4 - 2*l. Calculate p(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 108.\nAnswer: 1\/108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3*o = -8. Let p be (0 - 3) + o - -2. Let j(i) = i**2 - 1. Let q be j(p). Which is the third biggest value? (a) 0.09 (b) q (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/6 - 56415*g**2\/2 + 2387073789*g\/2 - 7160713641\/2.\nAnswer: (g - 84621)**2*(g - 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/7 - 120*u**2\/7 - 2277*u\/7 - 1694.\nAnswer: -(u + 11)**2*(u + 98)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 13*p - 53*p**2 + 17*p**2 - 12 + 25*p**2 + 1. Let s be g(-10). Which is greater: 21 or s?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*x**3\/5 - 67569*x**2\/5 - 162252*x = 0. Calculate x.\nAnswer: -12, 0, 22535","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-4\/19)*m**6*m**(-6)\/(m*m*(m\/(m\/m**3*m)*m)\/m) assuming m is positive.\nAnswer: m**(-80\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2 and -506371.\nAnswer: -506371.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9 or 1.95138?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2159*c + 249642 = 42378 for c.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4043 - 160. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -4462*n - 5315. What is the units digit of z(-21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/9*153\/(-102). Solve 2 + 43 = -4*x - 5*n, t*x - 2*n = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 19 = 2*j - 0*a, -2*a = j + 4. List the prime factors of ((-6)\/j)\/(36\/(-6756)).\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1137659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -11030?\nAnswer: 11040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18131197 to the nearest integer?\nAnswer: 4258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pzopzzzzoo. What is prob of picking 2 o?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 48851424 + -8.5\nAnswer: 48851415.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*t**3 + t**2 + 19420846*t - 641759314 with respect to t.\nAnswer: 6*t**2 + 2*t + 19420846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39 - -13. Suppose 4*v - 4*w = z, -2*v + w = 2*v - 37. Suppose 2*f + 0*f - v = 0. Solve f*d + 1 = 3*d, -3*d = 2*p - 1 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -93, -172, -213, -216, -181?\n\"Answer: 19*v**2 - 136*v + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x + 1. Let c(v) = v - 3. Let h(d) = 2*c(d) + 6*o(d). Let s(p) = 706*p - 367*p - 368*p. What is s(h(b))?\nAnswer: 116*b","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(68)\/sqrt(4) + -2*sqrt(272) - sqrt(102)\/(sqrt(108)\/sqrt(2)))*6.\nAnswer: -80*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 k when four letters picked without replacement from {e: 2, d: 1, k: 7}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*296\/8 + (0 - 0). Let g = j + 28. Does 14 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 - 0)*((-320)\/12)\/(-8). Let q(l) = -l**3 - 9*l**2 + 8*l - 13. Calculate q(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/(-6)*(31 + -37) - -640. Suppose -11*v + p = 568. Suppose b + 145 = 4*d, 5*b - b + 160 = 4*d. Calculate the greatest common factor of d and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 72 = 4*p, -10*u = -13*u - 3*p + 75. Calculate the highest common factor of u and 182.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - 6*h - 1. Let o be s(7). Let g be (-3 - 0)*(-2)\/o. Solve -2*w + 5 + g = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 3*y + 70. Let l(w) = -3*w - 26. Let a be l(y). Suppose -4*t - 5*c - 15 = 0, -7 = 2*t + a*c + 5. Solve 10 = -t*f + 5*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8587 and 7756.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 + -2d8dad?\nAnswer: -2d8db3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/12*(-126)\/(-147)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -354817 and -354869 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + 2)*-3.\nAnswer: -6*sqrt(19) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1729?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 0 + 4 + 2*h + 2 - 3 + h**2. Let w = 15 - 9. What is the lowest common multiple of u(-3) and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y + 3272 = -270772. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 0.2 (b) -9 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 0. Suppose 3*c - 3*d - r*d - 738 = 0, -c + d + 246 = 0. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 78 - 76. Let s be u*-3*(-2919)\/18. Suppose 7*z = s - 0. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34.66 + -188.96. Round z to the nearest 10.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f**3 - 7*f**2 + 9*f - 2. Let c be k(-4). Let j = -10 - c. Suppose -j*a + 140 = -8*a. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(288) + 1)**2 + sqrt(90)\/sqrt(5)*6.\nAnswer: 42*sqrt(2) + 290","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 57527\/2 - 21687847\/754. Let p = l + 2\/29. Put p, 5, 1\/3, 0 in descending order.\nAnswer: 5, 1\/3, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8956 - -8967. Solve -3*b = -a + u, -a = -3*b - 3*a - 5 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6386 + 31927\/5. What is the closest to d in -14, -4, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -378*d**2 + 1 + 87*d**2 - 2.\nAnswer: -291*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 183837521 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: Sort -3, 2, -92, 5, 0, -5 in descending order.\nAnswer: 5, 2, 0, -3, -5, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13674 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of -13*y**9\/504 - 149*y**6\/120 + 137*y**5\/6 + y**2 - 344*y. Find the third derivative of a(z) wrt z.\nAnswer: -1560*z**3 - 894","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 7, g: 7, n: 2, m: 1, o: 2}. Give prob of sequence gmwm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -13.1945549 from -14098.\nAnswer: -14084.8054451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -165 + 324. Let i = -20 + m. Is i a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89856853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 16904 divided by -8?\nAnswer: -2113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/5 + 306*k\/5 + 1280.\nAnswer: 2*(k + 25)*(k + 128)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 64\/28 + (-2)\/7. Let w be 17*-1 + 0 + z. Calculate the remainder when (-69)\/w - 2\/(-5) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8 or 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - 12) + 3 + (-3 - (-3 + 21))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 - 14*s + 3. Let p be a(-12). Suppose -11*j + p + 39 = 0. Let t be (1 - 0)*(-2)\/(-4)*j. Solve 9 = 4*y - t for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 333\/3 + (7254\/(-837) - (-2)\/(-6)).\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2221 + -21?\nAnswer: 2200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5*n + 58 = 0, 5*l + 5*n - 93 - 167 = 0. Let b = l + -53. Solve -4*u = -b*p + 2*p - 18, 23 = 3*p + 4*u for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 225 * -2\nAnswer: -450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8.5 - 10. Let r = b - 2.5. What is the second biggest value in r, 1\/8, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 3*a = 942, 2*u - 10*a = -8*a - 376. Let p = -174 - u. Let s = 2 - -4. Calculate the highest common divisor of p and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 b when three letters picked without replacement from ccbbcb.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -404 - -438. Let u be (17\/r)\/((-3)\/42). Let w(f) = 2*f**2 + 10*f + 3. Calculate w(u).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(75))*3.\nAnswer: 3 + 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 353, 445, 537, 629?\n\"Answer: 92*n + 261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 145 + -138. Let k be -36*(126\/(-12))\/o. Calculate the highest common factor of 72 and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304201027 to the power of 1\/2, to the nearest integer?\nAnswer: 17441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - 8*u**2 - 2. Let r be d(8). Is (r\/6)\/((-2)\/2334) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -3*t**2 - 12*t + 35. What is r(-7)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 1\/(-5))\/((-11)\/(-220)). Let n(s) be the first derivative of -9*s + 25\/4*s**k + 0*s**3 + 0*s**2 - 10. Differentiate n(i) wrt i.\nAnswer: 75*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 43030944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 - 6 - 21)*(3*v + 3*v - 5*v)*(-67*v + 67*v + 8*v**3).\nAnswer: -440*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, 19, 1\/3 in decreasing order.\nAnswer: 19, 1\/3, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that b**2 + 9*b - 22 = 0.\nAnswer: -11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-2*1*sqrt(156))\/(sqrt(1452) - 3*sqrt(1452)*1).\nAnswer: 6*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of 29*b**2 - 16647. Let h(a) = 2*a - 3*a - 2*a. Calculate o(h(n)).\nAnswer: -174*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of -6\/5*q**2 - q - 2\/5*q**3 + 3\/50*q**5 + 14 + 3\/20*q**4 - 1\/50*q**6. Suppose c(b) = 0. What is b?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 - 14*r**2 - 11*r + 27. Determine u(-13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -98532, -194236, -287110, -377154?\nAnswer: -464368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g + 4. Let w be f(-2). Let v = 91\/3 - 30. Which is the biggest value? (a) -3 (b) w (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**4\/17 - 162*r**3\/17 - 71770*r**2\/17 - 143046*r\/17 - 71440\/17 = 0 for r.\nAnswer: -152, -1, 235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1011406, 1011379, 1011350, 1011319, 1011286, 1011251, 1011214?\nAnswer: 1011175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 402 and 356373?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 69711462 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 + -3)*(4 - 3). Let d be 22\/44*t*376. Suppose 0 = 4*x - n + 4*n - 356, 2*x + 4*n - d = 0. List the prime factors of x.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (216\/(-351))\/((-2)\/13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.049061 litres to millilitres.\nAnswer: 3049.061","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 196.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 16 = -4. Let u be 318\/66 - (-2)\/11. Suppose -g + 5 = 2*g - 5*y, -f = -u*y. Solve i + g = -0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of -23*z**3\/6 - 17*z**2\/2 + 113*z - 1. Let b(a) = 8*a + 6. Give -17*b(q) - 6*o(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 590451 a multiple of 363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**31*r\/r**(-4)*r**(2\/65)*r\/r**(-1) assuming r is positive.\nAnswer: r**(2537\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56 is divided by 44.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 13*k. Let x(m) = m - 133. Calculate g(x(q)).\nAnswer: 13*q - 1729","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -284*i**2*w**2 - i*w**2 + 77*w**2 wrt i?\nAnswer: -568*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-4))\/(5909\/11818).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -33*z**2 - 4186 - 29*z**2 + 4184 as h*z**2 + g*z + t and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 640 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h**2 - 7*h + 2. Let k(s) = 2*s - 22. Let w be k(16). Let x = w - 5. Calculate b(x).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46885 is divided by 100?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-1) + 748\/102?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 3 l when four letters picked without replacement from {z: 1, n: 1, l: 3, a: 1, j: 5}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3119 minus -0.321?\nAnswer: -3118.679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -1. Let l(g) = 2*g - 5. Let r be -10 + (-9)\/(-3) + 3. Calculate r*s(c) + l(c).\nAnswer: 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2 - g + 3 - 5. Let m(l) be the first derivative of l**5\/15 - l**2\/2 - 2. Let w(y) be the second derivative of m(y). What is i(w(s))?\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*i = -668 - 364 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4300)\/(-125) - -13)*(-15)\/(-9)?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58, -13, 114, 365, 782?\nAnswer: 1407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a**2 - 8*a - 3. Let x be q(6). Suppose -2*g = 4*t - 145 + x, -4*g + 2*t + 208 = 0. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 299171.49 milliseconds to minutes.\nAnswer: 4.9861915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hdpppxxxppppxxppxd. What is prob of sequence dh?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -631 or -627?\nAnswer: -631","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1448986?\nAnswer: 2, 7, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 16176858007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3*y + 92. Determine z(0).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*(266\/(-19))\/(-14)*(-9)\/6?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 115 - 110. Suppose -5*k = 5*a - 0*a + 5, -j*k + 27 = -3*a. Find f such that -2\/5 + 6\/5*f**2 + 0*f + 4\/5*f**k = 0.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of 13*h**6\/120 - 20*h**3\/3 + 22. Let s(x) be the third derivative of r(x). Let u(q) = 2*q. Determine s(u(y)).\nAnswer: 156*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9899 + -69291\/7. Let h = -54 + 81. Which is the nearest to 3\/5? (a) h (b) 5 (c) -1 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 4*r. Let w(q) = -q**2 - 2*q. Let a(k) = -g(k) - 2*w(k). Let z(i) = 92*i. Give z(a(f)).\nAnswer: 184*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**11*s))**(-26) assuming s is positive.\nAnswer: s**286","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -5*d + 3. Let z(q) = 8*q + 2. Let g be z(-4). Let s be 1\/(-3) - g\/9. Give a(s).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 110 + -98. Calculate the highest common factor of 4 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 0*i**2 + 4*i - 2*i + i + 3*i**2 + 19. Let t be j(8). Suppose -t + 67 = -3*r. Is r a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16005 equal to 16023?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**4\/7 + 450*a**3\/7 + 1368*a**2\/7 + 1374*a\/7 + 459\/7 = 0. What is a?\nAnswer: -1, 153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of 311*s**3\/3 + 133*s**2\/2 + s - 61. Is g(25) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, r: 2, a: 2, n: 1, f: 1, q: 1}. Give prob of picking 2 c and 1 r.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (840\/63)\/(400\/480).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (10 + 0 - 5)*(-3 + 2 + 0)*(-949 + 949 + 71*z)*(-2*z + 7*z - 2*z) as l + c*z + p*z**2 and give p.\nAnswer: -1065","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1))**(-2\/29))**(26\/3) assuming h is positive.\nAnswer: h**(52\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 - 434*g**3 - 382*g**2 + 438*g**3 - 15 - 10.\nAnswer: 4*g**3 - 382*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 100 and 1320?\nAnswer: 6600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6345927 is divided by 211520?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 175984, 174638, 173292, 171946, 170600?\nAnswer: 169254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/28 and -59\/199164?\nAnswer: 199164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) - (sqrt(121) - (-2*sqrt(121) - sqrt(121)))*3 - (sqrt(121) + -4*1*sqrt(121)))\/(sqrt(132)\/sqrt(3) - (sqrt(11) + -6*sqrt(176))).\nAnswer: -8*sqrt(11)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -232*i + 928 + 464 = 0 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3253739 a multiple of 674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10051*m**2 - 10298 wrt m?\nAnswer: -20102*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 + -17. Suppose -2*d - 2 = y - 4*d, 3*y + h*d - 4 = 0. Suppose y = -5*v - 12 + 42. Solve -c + v = -3*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 360170 and 432204?\nAnswer: 2161020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kca when three letters picked without replacement from {g: 2, c: 1, k: 1, y: 1, a: 4}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1958?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 273325?\nAnswer: 5, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -2242 and -14 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 301644 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19590*f**2 + 3714*f**2 - 2083*f**2.\nAnswer: -17959*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 4 + sqrt(150)\/sqrt(3))*-5.\nAnswer: -40 - 25*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(128)*-1 - -5*(0 + sqrt(128))) + ((1 + sqrt(128) + -5)*-4)**2)*-6.\nAnswer: -13824 + 5808*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/14 + 11\/42. Let j(i) be the first derivative of -4 + 0*i**2 + y*i**3 + 0*i. Let f(m) = 4*m. What is f(j(t))?\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k**2 + 27*k + 42. Let g be b(-12). Solve -7*i = g + 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 1838*a + 1545767. Calculate i(-841).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - 34303260?\nAnswer: -34303253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 + 26*w - 382 + 762 - 14*w**2 + 20*w - 380. Give n(8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*2.1.\nAnswer: 0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 2*t + 1 = s, 5*s - 23 = -3*t for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of -1\/4*p**2 + 3 - 1\/12*p**3 + 0*p. Factor s(j).\nAnswer: -j*(j + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1150669 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: Which is smaller: -184 or -12?\nAnswer: -184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13391*y - 13333*y = -928 for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 10*p**2 - 10*p + 12. Let z be v(-11). What is the units digit of (z - -1)\/(2 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5 + -2)*(24\/9)\/4. Let j(s) = -n*s**2 - 2 + 14 - 3*s**2 + 4*s**2 + 5*s - 1. Determine j(9).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eoiihiixooiviiiixix. Give prob of picking 1 o and 1 v.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (0 - -2) + (100 - 80) + 16?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7933, -15857, -23783, -31711?\nAnswer: -39641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-424)\/(-32) + 4)\/((-2485)\/(-140) - 18)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000192903727 rounded to 6 dps?\nAnswer: 0.000193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10750 - -200b?\nAnswer: 1275b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 91\/114 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3)\/(18\/4))\/((-450)\/47925))\/((-31)\/(-31)).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*1*sqrt(3800) + 5*(-1*sqrt(3800) - sqrt(3800)))\/(sqrt(3200) + sqrt(3200) + sqrt(3200) + -5*sqrt(3200)*-2).\nAnswer: -11*sqrt(19)\/52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*u + 8 = -a, a - 249*u - 1 = a - 250*u for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -215 (base 9) to base 15.\nAnswer: -bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-132)*(-10)\/20*-8?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of p**6\/120 - 2*p**5\/15 + 7*p**4\/24 - p**3\/6 - 35*p**2. Let d = 22 + -15. Let z be m(d). Sort z, 0.2, -5 in decreasing order.\nAnswer: 0.2, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -123, -643, -1505, -2709, -4255, -6143, -8373?\nAnswer: -10945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1633324 is divided by 22371?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -38 (c) -0.2 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 10, 67, 1, 75, 3?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (10 + d - 8 - 40*d**2 - 3)*(22*d + 20*d - 17*d) as f*d + r*d**3 + a + c*d**2 and give f.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65227, -65269, -65397, -65653, -66079, -66717?\nAnswer: -67609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 9*m + 11*m + 12 = 0, 2*r - 13 = 3*m. Let o be -1*((-7 - -2) + r) + 0. Solve 5*f - 3 = o*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of m**5\/60 + m**4\/24 + 296*m**2. Suppose 2 = 5*v - 8. Let r(s) = s**2 - 8*s - 5*s**v + 3*s. Give -10*q(w) - 2*r(w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -6. Suppose 4*j = p*j - 5*b + 71, -3*b = -j + 8. What is the highest common divisor of 184 and j?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a**2 - 2*a. Let y(v) = 4*v**2 - 5*v. Let s(x) = -5*w(x) + 2*y(x). Let o(b) = -16*b**2. Give s(o(q)).\nAnswer: -512*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 799405?\nAnswer: -799400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g - 20076 = -4392. Does 42 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 12*q = -35. Suppose r = -p + 6*p - 3356, 2*p - 9*r = 1265. What is the smallest common multiple of p and q?\nAnswer: 4711","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*j + 5 + 5 - 10.\nAnswer: -11*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19789084618008 - -19789084619458.3308362711. Let t = m - -21.6691573589. Let u = -1472 + t. What is u rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -h - 2 + 8, 0 = n - h. Solve 2*w = -n*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 3*x - 7 = -2*x, 0 = -4*t + 4*x + 4. Suppose w - t = -10. What is the remainder when 40\/2*w\/(-4) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 9*o + 13. Suppose 3*q = -6 + 33. Let g be l(q). Let d = 227 - g. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 4*d**2 + 20*d - 65. Is x(-17) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12704.5068 rounded to the nearest ten?\nAnswer: -12700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 + -21. Suppose -m*t - d + 3*d = -4203, 0 = 4*t - d - 3360. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/20459 > -2606.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/109 and -4 + 552\/80 + -4.\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*q - 9 + 7 + 3*q)*(1 - 1 + 2453515*q**2 - 2450168*q**2) to the form b*q + x + w*q**2 + i*q**3 and give w.\nAnswer: -6694","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 240370.83 months in millennia?\nAnswer: 20.0309025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931)*1*-1*-5 + -1*(sqrt(1900) + -1) + sqrt(1900)*2 + 0)**2.\nAnswer: 90*sqrt(19) + 38476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*s = -39*s + 20. Suppose -f + 1131 = 2*p, s*f + 2*p = 2*f + 2254. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.6 - 0.4. Let g = 101.975 - -0.025. Let n = g + -106. What is the closest to d in n, 0.9, -5?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, -0.4, -0.2, 1\/6, 1, 46, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 5*c**2. Let g(b) = -88*b**2 + 83*b**2 - b + 2 - 4 + 2. Give -2*g(j) - 3*r(j).\nAnswer: -5*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 424 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15107.\nAnswer: 15107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -25*q**2 + 1577*q - 137. Calculate o(63).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2652166?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 16. Suppose 5 + 1 = g - 4*h, 3*g + h - y = 0. Solve -s = -3*d - 4, 6*d - g*d + 4 = 2*s for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1384 is divided by 690.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(85) + (sqrt(85)*1 - sqrt(85)))*-4 - (sqrt(85) - (1*sqrt(85) + sqrt(85)))*-6)\/(sqrt(30)\/(sqrt(864)*1 + sqrt(864))).\nAnswer: 480*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8.87 - 0.13. Let l = -27 - i. Let g = l + 24.5. What is g rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1881 and 16720.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 344 + -224. Suppose 0 = 4*j - 10 - 6. Suppose -j*v = 2*v - a. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 10 = -18. Let z = 14 + b. Calculate the common denominator of 19\/6 and (-10)\/(-8)*180\/z.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143149 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 - 7*z - 4. Let t be p(-6). Let g be (t - 4)*2\/4. Let f = g + 2. What is the highest common factor of f and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 74 - -0.0143.\nAnswer: 74.0143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 157720927 and 1.1.\nAnswer: 157720928.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 4*p**2 + 5*p**3 + p**2 - 4*p**2 to the form l*p + t + o*p**2 + v*p**3 and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -382 + 145*n**2 + 382 to the form i + w*n + o*n**2 and give o.\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-3)*(11 - 5). Suppose -3*s - 33 = -b*s. Suppose s = -p + 2*p. Is 11 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 11.96, -535, 3\/4?\nAnswer: -535","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 e when two letters picked without replacement from {l: 1, m: 7, w: 3, o: 2, e: 7}?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 11) in base 5?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 100 + -102. Let z = -1.06 + 1.2. Let x = 0.36 + z. Which is the closest to 2\/9? (a) x (b) -0.3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -62*-0.066\nAnswer: 4.092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 4*o - 384, 5*o - 480 = -591*i + 595*i. Calculate the greatest common divisor of o and 10368.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (333 - 319 - (2 + 0 + 6))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-3)*f*f)\/f)**(7\/2)*(f**(4\/9)*f)\/f*f*f**2 assuming f is positive.\nAnswer: f**(-32\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 10) + (-5 - -3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 262 + -166. Suppose s = 5*w + 7*w. Solve -3*v - 9 = -w*v - 2*p, 2*v - 4*p = -6 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33152781*p**3 - 45826735*p**2?\nAnswer: -198916686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-50)\/(-18) + (-6)\/(-27)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -166 - -286. Suppose -d = -3*n + 39. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + 2*a - 9*a)*(3*a**2 - 3*a**2 - a**2 + (3*a**2 - 5*a**2 + 3*a**2)*(5 - 2 - 1) + 2*a**2 + 0*a + 0*a).\nAnswer: -18*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/13 - 2817848*c\/13 + 992533418888\/13.\nAnswer: 2*(c - 704462)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.01 and -0.03.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -2. Let o = 4 - u. Let l = o - -13. What is the remainder when l is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 994.3691 millilitres to litres.\nAnswer: 0.9943691","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ygbgccycagbggcd. Give prob of picking 1 b and 3 g.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 173*v**3 + 2 - 175*v**3 - 2.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1040418.\nAnswer: 2, 3, 19267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 + -28. Suppose -r = -4*r + h*i - 6, i + 9 = 4*r. Suppose -3*q = 3*n - 6495, 0 = 4*n - 0*n - r*q - 8660. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 369*m**3 + 53 wrt m?\nAnswer: 1107*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1163 less than -0.0616?\nAnswer: -1163.0616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 89 - 5*s - 640*s**2 - 661*s**2 + 6*s + 1295*s**2 - 2*s**3 to b*s + k + u*s**2 + m*s**3 and give k.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -1347036804*q**4 - 9429331032*q**3 - 8082734653*q**2 - 440431*q - 6 = 0?\nAnswer: -6, -1, -1\/36702","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 5*o - 11. Let t(r) = r - 2. Let h(b) = 2*c(b) - 11*t(b). Let p = -826 + 827. Let u(f) = 3*f + 2. What is p*u(d) + h(d)?\nAnswer: 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, 7, -4, 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 q when two letters picked without replacement from {q: 4, t: 1, f: 2, g: 1, b: 3, s: 5}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 v when three letters picked without replacement from {h: 4, v: 4, m: 12}?\nAnswer: 22\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 184*p + 1. Let u(t) = 27*t. Calculate h(u(m)).\nAnswer: 4968*m + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -258.8579027 rounded to zero dps?\nAnswer: -259","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 70 + -66. What is the highest common factor of 32 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2334728 + -1049757. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 270437964?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -126 and 4972715?\nAnswer: 4972841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 7*b**2 - b - 1. Let s be i(-7). Let o be s\/3 + -1 + 2. Let t be 4\/18 + (-6)\/27. Solve 8*g - o*g = t for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/2)\/(-4 - (-605)\/154).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from iiiiiiki?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 522 + 481 = s. Suppose 0 = 5*i - s - 982. What is the hundreds digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -7*l. Let r be 2\/(-15) + (-88)\/15. Let c be (-12)\/(-7) + r\/(-21). Let u(n) = 5*n**c + 549 - 549. Calculate o(u(d)).\nAnswer: -35*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*b + 114*b = 5*m + 14, -3*m + 5*b = 22 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 4. Let f be (-48)\/(-364) + (-4)\/14. What is the second biggest value in -0.5, f, a?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 + (-16 - -38 - 41).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sryyykszszy. What is prob of sequence sy?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**2 - 2*p + 2*p + (p + p + 0*p)*(-2*p + 4*p - 4*p) - p**2 - 3*p**2 + 2*p**2 - 4*p + p**2 + p**2 + 0*p.\nAnswer: -3*p**2 - 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -2*h + 8, 24 = -2*z + 6*z + 2*h. Let s be 0 + (z - (2 - 4)). Let x = -6 + s. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200212001222 + -1011121?\nAnswer: 200210220101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 6 = g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*g + 3*g**2 - 5*g**2 + 8*g + (g - 5*g + g)*(1 - 1 + 2*g) + g - g - 2*g**2 - 4*g**2 + 4*g**2 + g**2 as m + q*g + y*g**2 and give y.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/s**(-5\/4)*s*s*s)**(2\/29) assuming s is positive.\nAnswer: s**(25\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3267950 divided by 653590\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1373*c + 700*c - 7 + 673*c + 6*c**3.\nAnswer: 6*c**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of -d**6\/6 - 3*d**5\/4 - 5*d**4\/12 + 5*d**3\/2 + 5*d**2 + 46*d. Factor l(t).\nAnswer: -5*(t - 1)*(t + 1)**2*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 43 = -2*x - 2, -4*b + 46 = 2*x. Suppose 18 = -6*d, 100 = -0*y + 5*y - 5*d. Suppose 3*g - y = -8. Solve -w = 4*q + x, g*q - 14 = 5*q + 4*w for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2 and 1077831759.\nAnswer: 1077831761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3*a + 374 = 4*a, -4*c - 5*a = -1498. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2204 and 14500?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - -10) + -1 - 6 - (14 + 4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/f**(1\/3))**(-2\/53))**(-4) assuming f is positive.\nAnswer: f**(40\/159)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2529052\/47 or 53811?\nAnswer: 53811","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-12)\/9)\/(-1*9 + 3). Let x be (3\/(-4))\/((-9)\/(-6)). Which is the closest to x? (a) 1 (b) -0.2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 13 = h, 29*j + 4 = 3*h + 30*j. Let f = 27 - 3. Suppose -h*d + f = -4*g, -6 = -g - 3. Solve d = t - 4*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 4 = -3*j + a, 14 = 5*j + 2*a. Suppose 4*i = 4*h, -j*h - 5 = -3*i - 0. Solve i*g - b + 3 = 0, 5*g - 2*g + 2*b - 6 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 4*n**2\/7 + 22376*n\/7 + 31292836\/7 = 0.\nAnswer: -2797","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*s - 178*s + 285*s.\nAnswer: 11*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) -2\/21 (b) -7\/178 (c) -2\/13 (d) -0.3 (e) 0.5 (f) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21216 + 10608 + 10608 - 31*o.\nAnswer: -31*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 10:24 AM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2992768600 to the nearest integer?\nAnswer: 1441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 80703 divided by 811\nAnswer: 80703\/811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 363662 and 3516253?\nAnswer: 2561","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 8 + (-5 + -8 - 13 - -22)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pdt when three letters picked without replacement from ppptpttdtddp?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -703 - -708. Calculate the lowest common multiple of f and 86.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26 - -30. Let u = -1013 + 7138\/7. Calculate the common denominator of 680\/48 + r\/6 and u.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*c - 156 = -96 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 104\/5040273 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5759.\nAnswer: 13, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zozo when four letters picked without replacement from iozzzozzo.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 886\nAnswer: 3\/886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1568)*1 + 5 + -1*sqrt(1568))**2 + 5.\nAnswer: -840*sqrt(2) + 14142","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -24.46 to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -28.9, -0.3, -10\/173, 1 in ascending order.\nAnswer: -28.9, -1\/3, -0.3, -10\/173, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p + 15. Let k be a(10). Let t(n) = n - 4*n + k*n. Let h(u) = 9*u**2. Determine t(h(b)).\nAnswer: 18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1.03 + -672\nAnswer: -673.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.43 to 0 dps.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**3 + 2*l**3 - 3*l**3 + (10*l**2 - 2*l**2 + 0*l**2)*(7*l - 3*l - 2*l + (4*l - 6*l + 3*l)*(2 + 3 - 3)).\nAnswer: 34*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 605*o - 11052 = -284*o - 27217 - 27396 for o.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + 40 - (1 + -4). What is the greatest common divisor of s and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 206, 841, 1908, 3413, 5362, 7761, 10616, 13933?\n\"Answer: k**3 + 210*k**2 - 2*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**3 + 1155*c**2 - 110856*c - 56212932.\nAnswer: 3*(c - 211)*(c + 298)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 4*x - 16, 0 = 5*r - 5*x - 55 - 0. Solve 2*n = -r, -k - 9 = 2*n - 0*n for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -633 + 380 = -102*z - 2599 for z.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5\/32 or -2\/7?\nAnswer: 5\/32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -34 - (43 + (-42 - (22 - 39)))\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -371, -703, -1035, -1367?\nAnswer: -1699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 641 - 7*x + 0*x**2 - 7*x**2 - 632. Let j(g) = 4*g**2 + 4*g - 5. What is 3*d(b) + 5*j(b)?\nAnswer: -b**2 - b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7308216 millennia to months.\nAnswer: 8769.8592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 4*f = 66, b + 0*f = -4*f + 26. Let u = b - 13\/2. Let j be 93\/30 - (-24)\/(-240). Put u, -5, -0.5, j in increasing order.\nAnswer: -5, -0.5, j, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n + 23. Let j be y(-3). Suppose t - 102 = -q, q + 4*q + j = 0. Does 3 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = 4*s - 90. Let x = s - 11. Suppose -x = -z - 15. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 15 + -3c06?\nAnswer: -3bc1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -10 + 4*u**3 - 5*u + 4*u**3 + u**2 - 9*u**3 + 7*u**2. Let b be s(7). Suppose 2*c = c + 3*n + 62, c + b*n - 41 = 0. What are the prime factors of c?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 313867710.\nAnswer: 313867710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-6)*-1*3\/(-9)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10361?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 376214020 to the nearest integer?\nAnswer: 722","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 84\/(-8)*(-2)\/1. Let s = -3 + n. What is the highest common factor of s and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*w = d + 77 - 222, 5*d - 53 = 4*w for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 128*m**4 - 4*m**3 + 5*m**2 - 10*m - 662. Let s(h) = -192*h**4 + 6*h**3 - 7*h**2 + 14*h + 993. Let d(k) = -7*q(k) - 5*s(k). Differentiate d(z) wrt z.\nAnswer: 256*z**3 - 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4523, 4526, 4533, 4544, 4559, 4578?\n\"Answer: 2*d**2 - 3*d + 4524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + z**4 + 4 - 2*z**4 - z**3 + z**3 + 2*z**4 - 4*z**4 + z**4 + (z**2 + 0*z**2 - 2*z**2)*(2*z**2 - 3*z**2 + 3*z**2) - 72*z**4 + 746 - 746.\nAnswer: -76*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 0*j**3 - 2 - j**3 + j + 6*j**2 + 2*j**3 - 3. Calculate the remainder when 88 is divided by m(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 114*o + 107*o - 151 - 238*o. Let x be n(-9). Solve -3*q + 0*w = -2*w - 9, -4*q + x*w + 14 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f**5 - 12*f**4 + 0*f**2 - 5*f**2 - 21*f**3 + 9*f**3 + f**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2.1, -0.1 in decreasing order.\nAnswer: -0.1, -2.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -21816, 0, -2, 6, 4 in increasing order.\nAnswer: -21816, -2, 0, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -74.4258 + -0.2242. Let a = g - -74.6504897. What is a rounded to five dps?\nAnswer: 0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 181, 438, 777, 1186, 1653, 2166?\nAnswer: 2713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 7*b**2 + 79*b - 5. Let d be (10 - 370\/22) + 4\/(-22). Let t be w(d). Calculate the greatest common divisor of 96 and t.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-6\/5)\/g)\/g)\/(g\/g**(14\/3)*g) assuming g is positive.\nAnswer: g**(-8\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**3\/5 - 435*m**2 + 15268*m\/5 - 13092\/5 = 0. Calculate m.\nAnswer: -2182, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17 or 3411\/190?\nAnswer: 3411\/190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4825, -4939, -5217, -5731, -6553, -7755?\n\"Answer: -12*n**3 - 10*n**2 - 4803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - 11. Let z = -13 - p. Solve -4*o = -z, -l + 4*o - 10 = -2*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - n + 18 = n, 4*n = d + 11. Suppose 0*j + d*j - 15 = 0. Suppose 2*z + 10 = 4*b, j*b + 4*z + 7 - 20 = 0. Solve 0 = 3*l - 0*l + b for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 490516.\nAnswer: -5\/490516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -4*d**5\/3 + 2120*d**4 + 402148*d**3\/3 + 1149112*d**2\/3 - 8496*d - 1532128\/3 = 0.\nAnswer: -58, -2, 1, 1651","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8039267 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/6*(-6)\/(-8). Let c = -8\/5207 - 6\/127. Let t = c + 51\/205. Which is greater: o or t?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -93 + 92.7. Which is the second biggest value? (a) 2\/5 (b) -10 (c) f (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1365135 divided by 3\nAnswer: -455045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -25*g**2 - 4130*g - 921. What is v(-165)?\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -14*q + 16. Suppose -9*i - 1 = -8*i, 3*i + 6 = -f. Let c(o) = 5*o - 6. Let s(b) = f*h(b) - 8*c(b). Let y(d) = 2*d + 218. Give s(y(t)).\nAnswer: 4*t + 436","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2916060.\nAnswer: 2, 3, 5, 7, 53, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 587674 divided by -9634.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-156 + 156 + 12*y**3)*((-2*y + 4*y - 4*y)*(-4 - 1 + 2) + 72 - 84 + y - 12*y) to the form p*y + n*y**4 + a*y**3 + b*y**2 + x and give n.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**27)**(-3\/17) assuming y is positive.\nAnswer: y**(-81\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24 - -66. Let n = -2 + a. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 10:16 PM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 414091.0058 + -414125. Let v = -34 - a. Round v to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 82 + -7 - (-1 - 3) - (116 + -123)\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*g**2 + g**2 + 3*g**2)*(-g + 0*g + 0*g) + (-g**3 + 0 + 0)*(-4 + 1 + 1) in the form x*g**3 + l + n*g**2 + h*g and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -3*d + 16, 13 = 5*d + 4*f + 1. Let h(v) = v**2 - 7*v - 6. Let w be h(8). Find the third derivative of -3*n**2 + 5*n**2 + w*n**3 - 4 + d wrt n.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-4)*((-4)\/46 + 172*(-33)\/4554)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 7 - 28 = -s, -3*s = -f - 9. Suppose 4*a - 26 = -4*p + 26, -2*p = 4. Calculate the remainder when a is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48698, 97398, 146098, 194798, 243498, 292198?\nAnswer: 340898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s - 3. Suppose -4 = -3*m + 8. Let b(r) = r + 3. Let d(n) = m*b(n) + 5*a(n). Let c be d(-3). Solve c = 5*o + 4 + 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + (5 - 25) - (-7 - (4 - 3))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17264 + -7892. What are the prime factors of s?\nAnswer: 2, 3, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 123*q - 857. Let g be k(7). Let b(z) = -6*z**3 + 6*z**2 + 2*z**3 + 8*z + 1 + 3*z**3. Is b(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 481, -0.056, -1\/4, 0.4, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*k**6 + 20*k**4 - 3*k**2 + 10 wrt k?\nAnswer: -840*k**3 + 480*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*p + 1364 + 1309. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 13*2 + 20\/(-20). Solve a*g = 4*g - 84 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v - 3*v - 20 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 k when four letters picked without replacement from jjjjjjjjkjjjjjjjjj.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 341*b**3 - 6*b + 6*b + 0*b - 1 + 85*b**3.\nAnswer: 426*b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*u**3 - 3*u**3 - 9*u**3)*(2 - 2 + 2*u) + 5*u**4 - 3*u**4 - 13*u**4 in the form s*u**4 + q*u**2 + v + f*u**3 + o*u and give s.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003899 to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9.931 - -0.069. Let a = d + -6. Sort -0.1, a, -1\/3, 0.5 in decreasing order.\nAnswer: a, 0.5, -0.1, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + 3 - 3)*(-3177 + 1599 + 1668) + 2*j + 0*j + j.\nAnswer: 93*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 - 0 - (-2552 - -2542)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - j + 285 - 264 = 0, 0 = -4*f - 5*j + 41 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cffsssofsosqoqqcsqv. What is prob of sequence sss?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -3*a**2 + 8*a - 1. Calculate z(4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -4*a**3 + a**2 - 4*a - 2. Let j be (23\/14 + (-4)\/28)*-2. Let p(g) = 3*g**3 - g**2 + 3*g + 3. Let q(y) = j*p(y) - 2*k(y). What is q(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 o when two letters picked without replacement from {l: 1, o: 1, k: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, n: 2, h: 3, e: 1, r: 3, w: 4}. Give prob of sequence wh.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/2 - 10256788*t + 52600850038472.\nAnswer: (t - 10256788)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.12, 3.6, 0, 4, -5?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.629035l in millilitres?\nAnswer: 5629.035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 + 2*o + 1. Let l be c(2). Let a = -0.0339 - 0.4661. Let f = -5 + 4.6. Put f, a, l in increasing order.\nAnswer: a, f, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -1\/3 (c) 10.7 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3 - 7 + 2*z + 4. Let d(n) = -7. Let b(w) = -4 - 5 + 21. Let y(l) = -4*b(l) - 7*d(l). Give -o(p) - 8*y(p).\nAnswer: -2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 - 24*x + 109. What is r(15)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110212220120110 (base 3) to base 9.\nAnswer: 13786513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*r + 41936 = 241862. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -5 - (6 + (5 - (-2 + 27))).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/4)*h)**(-5\/14))**25*((h*h**2\/h)\/h**(-1\/2))**43 assuming h is positive.\nAnswer: h**(5395\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 AM and 2:18 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 286209 to the power of 1\/2, to the nearest integer?\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppcppppc. Give prob of picking 1 c and 1 p.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 172*m**2 - 10138*m + 19045. What is v(57)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of d**7\/735 + d**6\/105 + d**5\/105 - d**4\/21 - d**3\/7 + 163*d**2. Factor w(s).\nAnswer: 2*(s - 1)*(s + 1)**2*(s + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 616*x + 540 = 610*x. What are the prime factors of (-12)\/x + 36026\/30?\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of -o**3\/2 - 41*o**2\/2 + 263*o. Give m(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2 - 252*g + 5488.\nAnswer: 2*(g - 98)*(g - 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -27 in 2\/7, -16\/7, -2\/15, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 116\/29*(-3)\/16.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15552132 to the power of 1\/2, to the nearest integer?\nAnswer: 3944","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 9990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -5 (b) -0.98 (c) -1\/12 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 887 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 650 (base 9) in base 4?\nAnswer: 20103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 130 = 5*y, -403*y - 41*h = -37*h + 9281 for y.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 0 + 3 - 3 + 2*m**2. Let q(l) = 6*l**2. Calculate q(f(d)).\nAnswer: 24*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -7*b**2 - 2*b - 6. What is i(0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, b: 9}. What is prob of picking 4 q?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 5*a + 37 = 7, -3*a = -6. Suppose -2*q + i*q = 33. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.05 + 0. Let g = 2627 - 2626. Put 2\/7, 0.9, u, g in descending order.\nAnswer: g, 0.9, 2\/7, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 4:53 AM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/(-84))\/1*1*-28.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 3*v = -2*v + 2, v = -5*t - 5. List the prime factors of (-2 + -7)*t\/1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1428.\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 379 is divided by 348.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 0 + 2 + sqrt(112) + sqrt(112) - (sqrt(252)*1 - (sqrt(28) + sqrt(448)))**2*-3.\nAnswer: 8*sqrt(7) + 339","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3\/5 + 81462*n**2 + 814611*n\/5 + 407304\/5.\nAnswer: 3*(n + 1)**2*(n + 135768)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3779633063 to the power of 1\/6, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvuvhuuvu. Give prob of picking 3 v.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55*i + 55*i - 2148*i**2 - 338*i**2 to r*i + a*i**2 + n and give a.\nAnswer: -2486","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, 12, -3, -1\/4, 75, -14\/19 in increasing order.\nAnswer: -34, -3, -14\/19, -1\/4, 12, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57243*u - 57246*u - 5 = 3*i + 10, -8*i - 32 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*m - 14*m - 38 = 0. Let f(b) = 9 + 3*b - m + 10. Let p(s) = 5*s**2 - 3*s. Let n(d) = -5*d**2 + 2*d. Let q(o) = 3*n(o) + 2*p(o). What is f(q(r))?\nAnswer: -15*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -78500 rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1575 + -2763. Suppose 4*k - 1996 = 1168. Let z = k - p. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) 0.2 (b) -34 (c) 2\/15 (d) 0.3 (e) -39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -271 + 1.51\nAnswer: -269.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 2*m**2 + 16. Let p be r(0). Calculate the greatest common factor of 80 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26 - 11. Suppose 5*w - f = 8*w. Which is the nearest to -1? (a) w (b) 5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - 25 - -19 - (-1 + 8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -832 - -1459. Calculate the remainder when d is divided by (384\/(-72))\/(464\/(-3219)).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 5*c + x, 2*c = -7*x + 9*x - 24. Let g = c + 16. Sort g, -4, -5, -3.\nAnswer: -5, -4, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.2 and 20?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4579, -5360, -6189, -7090, -8087, -9204, -10465?\nAnswer: -11894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 551 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -20829333*-0.2\nAnswer: 4165866.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6127 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/(-3) - 0)*(0 - -111). Suppose 3*u + 6 = 3*k, 2*u + k - 5*k = -10. Let z = u - q. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - 2*v + 8. What is u(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 465 - 460. Suppose f + v*k - 306 = 0, 15*f + 1440 = 20*f - 5*k. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nngnggg. Give prob of picking 2 n and 1 g.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of -i**2\/2 - 6*i + 1. Let t(j) = -j - 7. Let h be (2\/(-6))\/((-3)\/126*2). Suppose h*k = -101 + 129. Determine k*z(u) - 3*t(u).\nAnswer: -u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -10 + 70. Let a be (6\/(-9))\/((-8)\/i). What is the nearest to -0.2 in -2, a, 13?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3681 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 81619?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18.09 + 18.29. Which is the nearest to h? (a) 1\/3 (b) -3\/8 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -333 (base 5) to base 12.\nAnswer: -79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6585810.\nAnswer: 2, 3, 5, 7, 11, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51392938?\nAnswer: 2, 17, 593, 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*b + 38*b - 19*b + 6.\nAnswer: 44*b + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - j = -22, -i + 55 = 8*i - i - 3*i - 36*j for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 22*y + 20. Determine b(4).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 152.45 times 0.5?\nAnswer: 76.225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 54 - 27*v**3 + 5*v - 23*v**2 - 19 - 12*v**2 + 6*v**3 + 16*v**3 = 0. What is v?\nAnswer: -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 46*b**2 + 395*b - 343. What is c(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m + 2 = 13*m - 2*g, -g + 29 = 2*m. Suppose k + 3 = 4*q, -2*k + 7 = k - 4*q. What is the remainder when m is divided by k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.25202 + 0.34798. Let g(w) = -2*w - 1. Let b be g(-1). What is the closest to b in -4, -5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 3 - 7*n + 0)*(n + 0*n - 3*n) as g*n**2 + k*n + s and give g.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -63*(2160\/(-140) - -11). Calculate the highest common divisor of b and 3937.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 m when four letters picked without replacement from {i: 2, m: 3, l: 4}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 + 27. Suppose -3*y = -2*j + 4*j - 6, 20 = 2*y - 4*j. Suppose -p = 2 + 2. Sort l, y, p in descending order.\nAnswer: y, l, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 4*y - 2 = -7*y. Suppose -j = -s - 2*s - 44, 0 = -4*s + 3*j - 57. Sort 3, y, s in descending order.\nAnswer: 3, y, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7256?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.1 (b) -233 (c) 0 (d) -0.31 (e) 0.01 (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-one eighths of a milligram?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from onhag. What is prob of picking 2 g and 1 a?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(((-36)\/(-4))\/9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 6:39 PM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4\/117 (b) -17 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 3*y**2 - 28*y + 2. Let p be x(7). Let g(l) = -l**2 + 3*l - 3. Give g(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 21, 45, 69, 87, 93, 81, 45?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a milligram in nanograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttntntttt. Give prob of picking 1 t and 1 n.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*m = 13*m + 8. Suppose -5*s = -d + m, 4*s = -d - 2*d + 44. Calculate the remainder when 43 is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 182 + -175. Sort -2, 8, j in descending order.\nAnswer: 8, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 378*k**2 - 5217 + 3004*k**2 - 105*k**2 + 204*k**2 wrt k?\nAnswer: 6962*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -281*v + 131*v + 150*v - 11134*v**2 to the form z*v**2 + d + t*v and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 1757231?\nAnswer: -1757230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -53521783 + 53521787.2999966. Let y = 51 - 55.3. Let g = y + k. Round g to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4324*r**4 - 3*r**2 + 33785?\nAnswer: -17296*r**3 - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 21 = 4*x, -5*z + 6 + 7 = -3*x. Let y = 19142.1 - 19171.1. What is the nearest to -3 in y, z, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -178*x**4 - 2*x + 51 wrt x.\nAnswer: -2136*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -88\/7 in -7\/3, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 21 = -4*t, -4*h + 6*t + 19 = 3*t. Let s be (-6)\/15 - (-69)\/(-15). Which is the closest to h? (a) -1\/6 (b) 4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -4*h + 38, -x + 2*x = 2. Solve -2*j + 8 = -6*j - 4*b, h = 4*b for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 58 + -101. Let v be -1 - (j - 6\/(-2)). Let w be 6\/v - (-33)\/39. Let y(h) = 8*h**2 + 2*h - 1. Calculate y(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 20521*t**3 + 164152*t**2 + 328208*t - 256 = 0.\nAnswer: -4, 16\/20521","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 1320 - 1306. Suppose -2*o = 2*n - 34, i*o = 10*o + 2*n + 38. What is the least common multiple of 146 and o?\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/4)\/(981\/7194).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (24\/(-20))\/((-13874)\/(-6940) + -2). Suppose -11*b = -15*b + v. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.291 and -9.\nAnswer: -8.709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -277985.4 * 0.24.\nAnswer: -66716.496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3447, -13891, -31303, -55683, -87031, -125347, -170631?\n\"Answer: -3484*t**2 + 8*t + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4268445596 to the power of 1\/2, to the nearest integer?\nAnswer: 65333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/(-120)*(1 + -3). Let j(o) be the third derivative of -3*o**2 + 0*o + 0 + a*o**4 - 7\/6*o**3. Give j(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 40, -123, -288, -455, -624?\n\"Answer: -u**2 - 160*u + 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.64245cm in kilometers?\nAnswer: 0.0008364245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -726, -1244, -2470, -4758, -8462, -13936, -21534, -31610?\n\"Answer: -59*u**3 - 105*u - 562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -4*w + 3*z + 14, -z + 793 - 413 = -3*w + 404 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 191300?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c - 3*c + 464*c**3 - 482*c**3.\nAnswer: -18*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 499, 998, 1497?\n\"Answer: 499*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -132, -2251, -7996, -19179, -37612, -65107, -103476, -154531?\nAnswer: -220084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -316945530 divided by 42790.\nAnswer: -7407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/6 and (12\/792)\/((-1)\/(-89)).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 842*c - 933*c + 2093 for c.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -493*b*j**4 + 4254453*b - 11903*j**4 wrt j?\nAnswer: -1972*b*j**3 - 47612*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 + 27 = 11*y. Suppose 6*z - 33 = 5*z - 3*n, 0 = -z - y*n + 43. What is the greatest common factor of z and 576?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*k - 346 - 350 = -21*k for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3108900661?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45*t**3 - 11*t**4 - 45*t**3)*(2584*t - 5322*t + 3143*t).\nAnswer: -4455*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of 0*z**7 + 5\/336*z**8 + 0*z**3 + 0 + 0*z - 4*z**2 + 1\/2*z**4 + 0*z**6 + 0*z**5. What is the second derivative of l(a) wrt a?\nAnswer: 100*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4335 = 500*r - 13165 for r.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + -1)\/(2\/(-12)). Let l be (2\/(-3))\/(a\/(-207)). What is the highest common factor of l and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-2)*2\/123*117\/((-3159)\/54).\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.6103328s?\nAnswer: 610332.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -1c7?\nAnswer: 1c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39) - sqrt(624)*1)\/(sqrt(3) - 5*sqrt(3)*-2).\nAnswer: -3*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 50 and 6990815.\nAnswer: 69908150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 25 = 0, -6*f + 4*f = -2*y + 248. Calculate the remainder when y is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 262489 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, y: 2, d: 3, f: 5}. What is prob of sequence yz?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 5 (c) 0.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c - 448. Determine k(49).\nAnswer: -350","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x - 7*x + 30*x - 7*x - 31*x - 10*x.\nAnswer: -21*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 10 + -2 + 1 + 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - -10) + 7 + (15 - -4) + (0 - 0).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 AM and 3:26 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence flc when three letters picked without replacement from {f: 1, y: 1, p: 7, c: 4, l: 5, b: 2}?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3ad03 (base 16) to base 14\nAnswer: 63b11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 33*d + 5. Let h be ((-15)\/6)\/(10\/12). Let i(k) = 17*k + 3. Give h*a(t) + 5*i(t).\nAnswer: -14*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -608 + 608 - 16*u**2.\nAnswer: -16*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - 10.1. Let v = -144 - -137.9. Let u = v - f. Sort -1\/4, u, 0.4.\nAnswer: u, -1\/4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -37 - -1211273?\nAnswer: 1211236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*k**3 + 16062*k**2 - 45711*k - 6858.\nAnswer: -3*(k - 762)*(k - 3)*(7*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*m + 9*m**2 - 7*m + (-3*m + 2*m - 2*m)*(0*m - 2*m + m + (0 + 1 - 3)*(-2 + m + 2) + 3 - 3 + 2*m).\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 5.91. Let q = s - -2.91. What is the smallest value in -5, q, 1\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 42 + 6. Sort 4, v, 6, -5 in descending order.\nAnswer: v, 6, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -94 divided by -1?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -5*u - 5. Let m be (u*(-1 + 6))\/1. Sort 2, m, -3 in descending order.\nAnswer: 2, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 12 = 0, -22 = -4*z - 4*a + 14. Solve -z*n + 3*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 1\/13, 583, 0.3, 2\/5, -7 in decreasing order.\nAnswer: 583, 2\/5, 0.3, 0.1, 1\/13, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 22 - 32 = 0. Let l be (-4)\/(-8) + 1\/(-2). Suppose -s*t + 16 = -l*t. Calculate the remainder when 14 is divided by t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 48 = 2*f, -m + 0*f + 17 = -3*f. Suppose -128 = -h - 0*h. Suppose u - h = -3*u. Calculate the remainder when u is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-3\/7)*n**(3\/10)*n)\/((n**(-2)\/n)\/n*n*n**(4\/7)))**(-6\/13) assuming n is positive.\nAnswer: n**(-1083\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + f**3 + 2 - 16.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -2. Suppose d*j = -4*j + 44. What are the prime factors of j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 12 = 2*u, 3*g - 6*u = -2*u - 12. Let z(p) = p**2 + 5*p + 2. Determine z(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 - 25. Solve 4*s = 3*l + 7, g*s = 2*l + 3*l - 7 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 811 - 1285*a + 807 - 1476*a**2 - 1619 wrt a.\nAnswer: -2952","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cucyuywwwuwowcoywy. Give prob of picking 1 o, 2 w, and 1 c.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*n - g, 0 = 4*n + n + 3*g - 7. Let h(a) = -1 - 7 - 10*a**n - 7*a + 9*a**2. Determine h(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, p: 3, b: 1, l: 4, m: 4}. Give prob of picking 1 m and 1 f.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p**3 + 7*p**2 - 22*p + 2. Let d be r(-6). Sort d, -1, 1 in increasing order.\nAnswer: d, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 684 - 680. Let a = -1.03 + 1. What is the biggest value in b, a, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nmd when three letters picked without replacement from {d: 1, n: 1, m: 1, z: 3, w: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2459*u + 29505. What is i(-12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 41*j**2 - 6*j - 3. Let u(x) = -83*x**2 + 14*x + 7. Let s(z) = -7*h(z) - 3*u(z). Let g(i) = 4*i - 3. Give g(s(n)).\nAnswer: -152*n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23977.\nAnswer: 23977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 157066081?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19501\/3 + -6499. Which is the second biggest value? (a) -4 (b) z (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 17044152?\nAnswer: 51132456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8991614?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1902.389 rounded to 0 decimal places?\nAnswer: -1902","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 80 = 14*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42895, -85783, -128687, -171607, -214543, -257495, -300463?\nAnswer: -343447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**5 + 15*t**4 + 72*t**3 - 1296*t**2.\nAnswer: -t**2*(t - 12)**2*(t + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - 63)\/(12\/(-6)). What is the highest common factor of j and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 500\/(-1250) + 78\/(-105). Let q be 1\/3*12\/(-22). Which is the smallest value? (a) -1\/4 (b) q (c) 4 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25504 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 0, -1, -9, -3, -24.\nAnswer: -24, -9, -3, -1, 0, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from knknknanaanknknkl. What is prob of sequence nank?\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 10:23 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qhm when three letters picked without replacement from juuquuhuujmujm?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = 4*g - 7, 0 = 20*y - 22*y - 3*g - 16 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 212 = 4*u, o + 2*u = 4*u + 46. Let t be 4\/10 + (-4496)\/o. Calculate the common denominator of 61\/3 and 2\/7 - 948\/t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + -10 - (-24 + 27)) + 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 PM and 3:09 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -4*s - 5*s + 0*s + 3*s - 7. Let u be j(-4). Solve -5*x + 4*o = 21, 4*x - 4*o + o = -u for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 845\nAnswer: -84.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 425.\nAnswer: -2\/425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of 11*f**5\/20 - f**4\/12 + f**3\/6 - 2*f**2. Let v(o) = o - 6. Let b be v(7). Does 16 divide p(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 497702 + -170220. Let f = -637482 + i. Round f to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/63973112 and -13\/2?\nAnswer: 63973112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does -1045031 = -1045030?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38472.\nAnswer: 2, 3, 7, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of -3\/40*a**5 + 3\/8*a**4 + 0 - 1\/2*a**3 + 0*a**2 + 8*a. Factor b(g).\nAnswer: -3*g*(g - 2)*(g - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2427 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of 53\/4*a**4 + 0*a - 11*a**3 + 0*a**2 - 78. Find the third derivative of r(q) wrt q.\nAnswer: 318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/12, -1\/3, 0.09 in increasing order.\nAnswer: -1\/3, 1\/12, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25187 and 283.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 516060 rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t**2 + 27*t + 18. Let o be c(14). List the prime factors of (-6)\/(-4 + 2 + o) + 72.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*j**3 - 129*j - 71*j + 322*j - 122*j.\nAnswer: -21*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1308.\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 5*r**2 - 4. Let b = -2396 - -2398. Let v(a) be the third derivative of 0*a - 2*a**b - 1\/60*a**5 + 0 + 1\/6*a**3 + 0*a**4. Determine d(t) + 4*v(t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 63 - 114. Let u = -31 - d. Let m be ((-15)\/4)\/((-2)\/16). Calculate the greatest common divisor of u and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2260677 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 5752 = -3*s. Let h = s - 1987. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of o**7\/210 - 63*o**6\/10 + 35721*o**5\/10 - 2250423*o**4\/2 + 425329947*o**3\/2 + 12*o**2 - 3. Factor p(m).\nAnswer: (m - 189)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*d - 2*t - 3, -2*t = 2*d. Suppose -479 = -4*x - d*l + l, x = 5*l + 104. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of -4*r**7\/3 - 55*r**3\/3 - r**2 - 206*r. Find the second derivative of z(j) wrt j.\nAnswer: -1120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14696*f**3 + 3*f**2 + 305991.\nAnswer: 44088*f**2 + 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -24486446951+0.16\nAnswer: -24486446950.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -122999\nAnswer: 4\/122999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1863 and 891?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2324 - -1?\nAnswer: -2323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 6*(-1*sqrt(7))**2 + sqrt(7).\nAnswer: sqrt(7) + 46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29671 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-15)\/j*j)\/j)**(-2\/53)\/(j**(1\/31))**(1\/2) assuming j is positive.\nAnswer: j**(1931\/3286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 + 5. Let p be v(0). Solve 3*b - p*b + 2 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -163*t**2 + 4*t + 125*t**2 - 23*t**2 - 187*t**2.\nAnswer: -248*t**2 + 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1774*x - 1757*x = 2*i - 72, i + 10 = -3*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/8*(-7 - -1). What is the second derivative of g*l**2 + 2*l + 18 - 18 wrt l?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.705 rounded to 0 dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**3 - 5*f**2 + 8*f - 7. Let a be b(2). Let o be 1\/((-10)\/6) - (-38)\/a. Suppose 5*x - 183 = o. List the prime factors of x.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7928, -13083, -18236, -23387?\n\"Answer: p**2 - 5158*p - 2771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-3592)\/(-328) - 18\/(-369) and 2014.\nAnswer: 22154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44587?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1650?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -67810.05 rounded to the nearest one hundred?\nAnswer: -67800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -47970 by 1230.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(684) - (6*(sqrt(684)*-1 - sqrt(684)))**2).\nAnswer: -98496 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 156 and 1014.\nAnswer: 2028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 - 171 = -8*q. Let t be 1*11\/(q\/348). Which is greater: 0 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*w - 2*w - w + (0 - 27 - 43)*(0 + 0 - w) in the form b + q*w and give q.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 4*y = 20, 0*b - 5*b = -y - 18. Suppose -4*c + 28 = -5*f, -c - 4*c + 18 = -2*f. Put b, f, 0 in ascending order.\nAnswer: f, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 463546?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(117)*-1 + sqrt(117) - sqrt(117)))\/(1*sqrt(9)*-6).\nAnswer: -2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1184, 3, 6, 0, -1.\nAnswer: -1184, -1, 0, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -1152?\nAnswer: 230.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - (-23)\/4)\/((-5)\/8).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3045 and 3306.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + -12 + -4 + 3 - -7) + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 7:02 AM?\nAnswer: 12:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*12\/10*5. Let j(k) = 2*k**2 + 2*k + 1. What are the prime factors of j(h)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101753401 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*f**3 - f**2 + 4*f**2 - 3*f**2.\nAnswer: -19*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 109*v + 1203. Let z be f(-11). Put z, 7, 0 in ascending order.\nAnswer: 0, z, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 - 12*k + 6. Let o be b(-12). Suppose o*v + 239 = 1583. Let i = -134 + v. List the prime factors of i.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 1:17 PM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 38435030 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 658.930594 > 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 14*i**2 + 12*i - 11. Let z be c(-13). Let s be -1 + -2 + z - -9. Let j be (-8)\/30*12\/s. Put -5, j, -3 in decreasing order.\nAnswer: j, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -2, -4.4, 14?\nAnswer: -4.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 123133 - 121?\nAnswer: 123012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/13)*f)**40 assuming f is positive.\nAnswer: f**(600\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39889*b + 75 = 39894*b for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 110584?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -5 + -1 + -3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - 4. Let u = -3.315 + -1.685. Sort u, -1\/3, 1, n in ascending order.\nAnswer: u, n, -1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 362, -272, -2200, -6070, -12530, -22228?\n\"Answer: -108*j**3 + j**2 + 119*j + 350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 - 3*z**2 + 3*z**2)*(4*z - 2*z - 4*z)*(-11 - 9 - 10).\nAnswer: -120*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 2*j - 271 = 3*j, -3*j - 183 = -2*w. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.3, 0.5, 0.8, 2\/3, 2166?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(-1 - 3\/(1 - 4)). Suppose u*a - a = -323. List the prime factors of a.\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 3*w - 21, 2*l - 33 = -l - 3*w. Suppose -14*t + 50 = -l*t. Solve 0 = -2*s + 4*v + t, -s + 5 = -2*v + 3*v for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 15532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*z + 2*z + 2*z)*(-4*z**2 - 2*z**2 - 2*z**2).\nAnswer: 24*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 269 = 5*z - 391. Suppose 0 = 3*c + 2*c - 60. What is the greatest common divisor of z and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -130 + 241*w + 68 + 62 to the form i*w + h and give i.\nAnswer: 241","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -417 - -624. Does 9 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -445, -456, -467, -478, -489, -500?\nAnswer: -511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + 26*c**2 + 137*c + 11. Give a(-6).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -9 + 80 - 8600*z**2 + 8599*z**2 + 18. Let d(r) = -r**2 - 7*r + 7. Let t(q) = -q**2 - 6*q + 6. Let v(u) = -6*d(u) + 7*t(u). Determine v(l(w)).\nAnswer: -w**4 + 178*w**2 - 7921","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -6.3. Let z = -0.7 + -6.3. Let f = z + 2. What is the third biggest value in -2\/11, f, n?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 223*k + 16 = -225*k, 2*w + 4 = -2*k for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 19*h + 0*h - 18 = 0, -g - 10 = 3*h for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -198539, -397080, -595621, -794162, -992703?\n\"Answer: -198541*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**3 - 1144*l + 1144*l + 3*l**2.\nAnswer: l**3 + 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 94*r + 3569. Determine s(-39).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 234, 951, 2162, 3879, 6114, 8879, 12186?\nAnswer: 16047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*m - 14. Let d = m - -19. What is the third derivative of u + 3*u**6 + u - 2*u - d*u**2 wrt u?\nAnswer: 360*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 587?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 4*r + 20, 6*p - 1 = 7*p + 2*r. Let u be 24\/48*-2*(-27)\/p. Suppose 5*y - 3*y - 2 = 0. Calculate the greatest common factor of y and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 - 8*j**2 - 20*j + 16. Let v be y(11). What is the lowest common multiple of v\/3 - 7 - 6 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7305 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -46*o**2. Let k(c) = 4627*c**2. What is t(k(q))?\nAnswer: -984819934*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -4 + ((sqrt(216)\/sqrt(12) + sqrt(2))**2 - sqrt(2)) + (-2*sqrt(200))**2 + 1.\nAnswer: -sqrt(2) + 830","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1107124 divided by 32?\nAnswer: -276781\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y = 9*y + 9*y + 22 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 105*l*n**3*p + 4*l*n**3 + 380*l*n**2*p**3 + 28*l*n**2*p**2 - 366*n**3*p**3 - 2*n**2*p**3 - n*p wrt n.\nAnswer: 630*l*p + 24*l - 2196*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6931*p**2 + 25520 with respect to p.\nAnswer: -13862*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a century in years?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a - 3 - 22 + 53 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3380 and 486780?\nAnswer: 82265820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -84245 (base 13) to base 11.\nAnswer: -152625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/6 + ((-91)\/39)\/(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 - 2388*y - 9561. Let f be j(-4). Solve 0 = -f*p + 168 - 189 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k + 3*n - 9 = 2*k, k + 12 = 4*n. Let g be -2*(k - 3)\/3. Solve j = -j + g*t, 4 = -4*j + 5*t for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - 14*u**2 + 62*u - 114. What is x(2)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.02 - 1.52. Let y = -2 - n. Let u = y - -0.4. Which is the nearest to u? (a) 4 (b) -1\/3 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51 and 57?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 18. Let d = -6 + u. Suppose 9*k + 4*k = -9*k. Solve -x = -k*x - d for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/3*-3 + 3. Suppose -3*v = -2*k - 6*v - 6, 0 = -d*k - 4*v - 8. Suppose -5*l + 5*c = -160, -3*l + 2*c = -k*l - 91. Is 16 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 341 is divided by -38*(-2 - (1\/2)\/(-1))?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6372, 25569, 57592, 102453, 160164, 230737, 314184, 410517?\nAnswer: 519748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f. Let r be n(-9). Let u = 13 - r. Put -1, u, 6 in decreasing order.\nAnswer: 6, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -294.8 + 294.5. Put c, -2, 0.2, 2\/5, 3\/2 in decreasing order.\nAnswer: 3\/2, 2\/5, 0.2, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -10*t**3 - 5*t**2 - 8. Let s(f) = 11*f**3 + 6*f**2 + 9. Give 5*s(v) + 6*x(v).\nAnswer: -5*v**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(6)\/sqrt(2) + sqrt(27) + -2)**2.\nAnswer: 12*sqrt(3) + 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 268438?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*((-567)\/18)\/(-21)*-6.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10677342 is divided by 41.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -32*p**3 - 17*p**2 - 17*p + 17. Suppose 0 = 2*d + 16 + 18. Let v(i) = -11*i**3 - 6*i**2 - 6*i + 6. Give d*v(h) + 6*k(h).\nAnswer: -5*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 279.963 times -0.01\nAnswer: -2.79963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1769 - 2671 = -12*a. Suppose 3*d - d + l = 157, -a = -5*d + 2*l. Suppose 0 = -7*c - 20 + d. Does 4 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/47 or -5759?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 2)*(-9 + 9 - 10*a**3).\nAnswer: 30*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 44 + -45. Let w = 0.03 - 4.03. Let r = w + 3. Is t smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68, -64, -62, -62?\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -13 and -742.\nAnswer: -755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + m**2 - 2. Let b be k(-2). Let p be 165\/b - (-6)\/4. Let v = p + -10. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - 7*f - 4. Let a(b) = 2*b**2 + 13*b + 7. Suppose 1 + 13 = -2*m. Let n(g) = m*q(g) - 4*a(g). What is the second derivative of n(p) wrt p?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -46, -83, -112, -133, -146, -151?\n\"Answer: 4*c**2 - 49*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - 3*p**2 - 6*p + 2. Let y be c(4). Let o(q) = -2*q. Let w be o(y). What is the highest common divisor of 36 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of -s**6\/20 - s**5\/15 + s**4\/4 + 2*s**3\/3 - 5*s**2\/2 + 1. Let b(x) be the second derivative of z(x). Solve b(j) = 0.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -4*a - 3*g + 4*g, 5*g = 3*a - 12. Let n be 14\/(-1) - -1*1. Let k = a - n. Calculate the remainder when k is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**3 + x + 5. Let r(a) = 6*a**3 + 2*a + 14. Let f(v) = -v**2 - 9*v + 5. Let j be f(-9). Suppose -13 = -j*c + 2. Determine c*r(n) - 8*h(n).\nAnswer: 2*n**3 - 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 11:31 AM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -78 divided by 5?\nAnswer: -78\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-18\/5)*k*k**1 assuming k is positive.\nAnswer: k**(-8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 30728 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -4*g, 2*m + 11*g + 7 = 8*g. Sort 17, m, 14 in descending order.\nAnswer: 17, 14, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1931 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -613 in 2, 0.09, -0.27, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - (-2 + 0 + -150). Suppose -r + 183 = 4*n - 2*r, -3*n + 5*r = -s. Let a = n + -25. Is a a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of o**3 + 133890048*o**2*w - o*w + 984*o + 60963 wrt o.\nAnswer: 6*o + 267780096*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57*-0.1.\nAnswer: -5.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 14*(-2)\/6*-3. Let q = 38 + -26. Suppose -z*a + q*a = -40. What is the greatest common factor of a and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64006.99 days to milliseconds.\nAnswer: 5530203936000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-3) - 128\/(-120). Let p = -2 + 3. Suppose 0*q + p = -q. Is q < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(-3) + (0\/(-25) - -3).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10867.369 to 0 dps.\nAnswer: -10867","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*(q*q*q**(-2\/3)*q*q*q)\/q)**(-1\/17)\/(q**(-2)*q*q*q*((q**2\/q)\/q*q)\/q))**23 assuming q is positive.\nAnswer: q**(-1472\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*f + 13*f - 13*f + 0*f + 2*f - f + (6*f - 2*f - 3*f)*(3 + 2 - 3) - 2*f + 5*f - 4*f.\nAnswer: 19*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 74 - 73.38. Let k = p + -0.6. Let q = k - 0.02. What is the closest to 0.1 in 1, q, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 l when three letters picked without replacement from lvlvlvlllll?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {m: 7, d: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03147 rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9561*s - 7576*s - 10544*s.\nAnswer: -27681*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(10\/7)*q)**(1\/11) assuming q is positive.\nAnswer: q**(17\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 152289329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in -5, -0.3, 0, 2\/13, -88426, 0.7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 7*g + 450. Let y be (g\/34)\/5 + 1. Which is the closest to -2? (a) y (b) 4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - v = -791, 4*a - 9*a = 2*v - 988. Is 33 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17299.\nAnswer: 17299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) 6\/13 (c) -1.1 (d) -4\/5 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 399 and 847?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -1 - (162 + (15 - 131)).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 35*w**2 + 73*w + 51. Let u be z(37). Solve -3*x = -5*l, -4*x + u = -0*l - 2*l for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x + n - 5, -3*x - 3*n - 48 = -63 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -323, -1019, -2097, -3557, -5399?\nAnswer: -7623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**6\/d**(4\/7))\/(d**(-4)*d**(2\/5)))**(-2\/5))**(6\/5) assuming d is positive.\nAnswer: d**(-3792\/875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 10 + 6 = -5*x, -5*x = f + 22 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - (0 + 0)*(-6)\/(-6). Let a be (-19)\/(-57)*(-42)\/z. Which is smaller: -11 or a?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/(-1))\/(-6) - (-131252)\/114 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12677 - -12672. Sort g, 69, 11 in ascending order.\nAnswer: g, 11, 69","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 115551093 + 211542574. Let s = 327093670.63999407 - r. Let c = 3.64 - s. What is c rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -373*c + 2*c**3 - 367*c + 740*c.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**3 - 6*q**3 - 2*q**3)*(-4*q**2 - 36 + 33 + 15*q**2).\nAnswer: -121*q**5 + 33*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, 0, 18.\nAnswer: 0, 18, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**5 + 176702*u**4 + 1060332*u**3 - 4241188*u**2 + 4594582*u - 1590426 = 0. Calculate u.\nAnswer: -9, 1, 88357","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 24074.78691 minus -655?\nAnswer: 24729.78691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96154?\nAnswer: 2, 131, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 32*c**2 + 117*c + 10. Is 110 a factor of r(29)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1287952.\nAnswer: 2, 101, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 321931?\nAnswer: 23, 13997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 167049 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i + 6. Let h(v) = 4. Let t(a) = 3 + 0 - 12. Let s(n) = -7*h(n) - 3*t(n). Let l be (-6)\/(-27) - (-7)\/9. What is l*y(c) + 6*s(c)?\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = 2*t - 9*t. Let s be 2\/14*(-21)\/t. Factor 2\/3*z**3 - s*z**4 - 2\/3*z + 1\/3 + 0*z**2.\nAnswer: -(z - 1)**3*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(125)*-3)**2 + -5 - (sqrt(35)\/(4*sqrt(7) + sqrt(7)) + sqrt(5) + ((-6*sqrt(35) + sqrt(35))\/sqrt(7) - sqrt(5)))) + 0.\nAnswer: 24*sqrt(5)\/5 + 10120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -114 * 0.001522\nAnswer: -0.173508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 12?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, x: 1, v: 1, g: 1}. What is prob of sequence xxx?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 98071?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, o: 9, r: 4}. Give prob of picking 3 o.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -5 (b) 5\/6 (c) -2\/9 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - 8*x**2 + 8*x - 4. What are the prime factors of b(8)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59.34921um to meters.\nAnswer: 0.00005934921","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6 + 3)*4\/(-66). Let q = -1203 - -92628\/77. Let n = w + q. Put -0.1, 4, n in decreasing order.\nAnswer: 4, n, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -48*f + 103*f + 275 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-230)\/1173*(-6)\/(-10)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/46359 and -79\/23715.\nAnswer: 7185645","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -1. Let a = 2.2 + -2. Let h = 9435.3 + -9435. What is the nearest to 0.3 in h, a, d?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6445*s - 1172*s + 18813 = 111*s - 1109*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 130649 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -20*d**2 - 3. Let u(n) = -2*n**2 - n + 1. Determine -i(q) - 3*u(q).\nAnswer: 26*q**2 + 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -21, -3 in increasing order.\nAnswer: -21, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3663*k**3 + 7*k**2 - 7*k**2.\nAnswer: 3663*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*p**2 - 5*p**2 + 7*p**2)*(-7 + 16 + 22).\nAnswer: 279*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -1111001100011101?\nAnswer: 1111001100100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -9*w - 8. What is b(4)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 540*a - 705*a + 1980 = 0 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1421, -4, -23, 3, -5 in ascending order.\nAnswer: -1421, -23, -5, -4, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.5 + -2.3. What is the smallest value in -5, -2, -7, o?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -2*f - 80, 4*f + 34 = -5*y + 2*y. Let c = y + 34. Suppose -4*q = q - 560. Calculate the greatest common divisor of q and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1533190?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1537 and 563499.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30102 and 174?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + 8\/(-20))*(10 - 0). Let n = -3 + 1. Let b be n\/4*(-12)\/(-16). What is the third biggest value in b, -0.5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50145081793 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2 - 3 - 110*x + 123*x. Determine h(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 31549919 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 8*z**2 - 6*z - 25. Let g be i(9). Find the third derivative of -n**5 + 25*n**2 - 26*n**g - 7*n**5 wrt n.\nAnswer: -480*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y + 1. Let h(q) = q**3 + 116*q**2 - 3*q + 3. Give -3*c(b) + h(b).\nAnswer: b**3 + 116*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16395793?\nAnswer: 16395793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of (-2 - 44\/8)*-4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 52 and 2980.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + 3. What is the remainder when 31 is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -2\/7 (b) -3\/23 (c) 4 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-2\/89)*(m*m**(-1\/31))\/m)\/(m**(-1\/3)\/(m*m*m**(-4\/13)*m*m)))**(1\/36) assuming m is positive.\nAnswer: m**(539711\/3873636)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u**2 + 3*u + 2. Let g(z) = -4*z**2 + 1 - 11*z + 3*z**2 + 12*z. Determine -3*g(w) + n(w).\nAnswer: w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*t + 13 - 70*t**3 + 3*t - 2*t**4 + 69*t**3 - 12 + 5*t**2 to u*t + p*t**2 + a*t**4 + v*t**3 + i and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*m**2 + 58 + 40*m**2 + 11*m**2 + m**3.\nAnswer: m**3 + 135*m**2 + 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 436.5682 micrograms?\nAnswer: 0.0000000004365682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 - 2*i + 2. Let n = -60 - -56. Let k(p) = -3*p**3 - 4*p + 4. What is n*k(f) + 9*z(f)?\nAnswer: 3*f**3 - 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49593137 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 8*o**2. Suppose 23*k - 30*k + 21 = 0. Let y(x) = -k*x + 13*x + 5*x + 6*x + 12*x. What is y(h(q))?\nAnswer: 264*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + 21*z**2 + 73*z - 25. Let b be u(24). Which is greater: b or -8\/33?\nAnswer: -8\/33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 8777144.68663 and 32.\nAnswer: 8777176.68663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 52*i**2 - 57*i - 69. What is the thousands digit of q(15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3225, 6422, 9589, 12726?\n\"Answer: -15*d**2 + 3242*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*s**3 - 2*s + 2*s.\nAnswer: -12*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iizigdiindddiiiii. What is prob of picking 1 g and 1 i?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is 1670 (base 8) in base 7?\nAnswer: 2530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -23.38083661 to two dps.\nAnswer: -23.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 362852.8 years?\nAnswer: 36285.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1251 (base 13) in base 4?\nAnswer: -220221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -741, -746, -755, -768?\n\"Answer: -2*q**2 + q - 740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 - (1 + 4)) + 162. Let n be 7\/((-14)\/u)*-1. Suppose 3*t - 22 = 8. Calculate the highest common divisor of n and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 28 = 5*t, -4*t - 2 = x + 15. Suppose 29 + x = -4*j. Let n(h) = -h**3 - 7*h**2 + 10*h + 12. Let s be n(j). Which is bigger: s or -7\/2?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1961882?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + 16*p**2 + 15*p + 3. Let l be o(-15). Let r be (-42 - -41)\/(1\/2). Let b = 328\/5 - 65. Sort l, -1\/7, b, r in ascending order.\nAnswer: r, -1\/7, b, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17702238 - 99.\nAnswer: 17702139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3773 and 87331321?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*d + 96*d + 96*d + 79.\nAnswer: 174*d + 79","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.244062 times 0.096?\nAnswer: -0.023429952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2*b = -8, 0 = -3*m - 0*b + b + 8. Suppose -4*z - 2 = 4*j - z, 3*j = -m*z. Put j, 4, -4 in ascending order.\nAnswer: -4, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2.5, 0.1, 5, 279, 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -1\/26335?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 75*h**2 + 277*h + 1704. Determine i(-6).\nAnswer: 2742","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 8) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 12*j + 1. What are the prime factors of x(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14556284*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*c**2 - 149*c**2 - 5 + 28*c**2 + 24*c**2 in the form q*c**2 + s*c + m and give q.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(4\/5)\/(o*o**(-10\/7)) assuming o is positive.\nAnswer: o**(43\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 357775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 53736071 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -169\/42 and 37\/420.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 PM and 12:13 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of 3535*g**4\/12 - g**3\/6 + 14*g. Let j be x(1). Suppose 8*w - j = 698. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9809.27057 to zero decimal places.\nAnswer: -9809","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from dzzdzzds.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**3 + 2*w**3 + w**3)*(11*w**2 + 31*w**2 + 28*w**2) + (3*w**5 - w**5 - w**5)*(8 - 10 + 4).\nAnswer: 72*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eetetenecettepeteecc. Give prob of picking 1 t, 2 e, and 1 c.\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192)\/sqrt(4) + sqrt(3) + (sqrt(108) - (sqrt(108) + 1)))**2.\nAnswer: -10*sqrt(3) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 9) in base 15?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o + 2. Let j be t(-2). Suppose -j*q + 10 = -18. Solve 5*s = -p + q, s + 0 = -4*p - 10 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**9\/v*v)\/v)\/v**(-2\/3))\/(v**(-2\/3)\/(v\/v**(5\/8))) assuming v is positive.\nAnswer: v**(257\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -7*(-1)\/(-3)*(-6)\/7\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 5*k + 64. Suppose -2*i - 3*g - 51 = i, -38 = 2*i + 4*g. Let a be q(i). What is the third biggest value in a, -1\/5, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-72)\/4)\/(330\/((-5)\/1))?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 74309 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2. Let j(m) = -43 + m - 1 + 0*m + 16. Determine z(j(v)).\nAnswer: -v**2 + 56*v - 784","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-30))\/((-426)\/18105)*48\/(-3).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*n**4 - 431*n**2 - 7411*n + 3 wrt n?\nAnswer: 48*n**2 - 862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -187 - -949. What is the hundreds digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4811 and -10.\nAnswer: -4821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*x = 10*x + 36 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*r + 125458 - 125458.\nAnswer: 81*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - 2)*5 + -3. Suppose -2*m - 49 = -5*z - 6*m, 2 = 2*m. Solve l - z = -r*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 527*i - 5781. Calculate o(11).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-18)\/10)\/((-1)\/5). Suppose -v*q = 142 - 520. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a day in hours?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ziuuszyiazyyza. Give prob of picking 1 s, 1 z, and 1 y.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 9:14 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*p + 1018 + 1121. Let g = -43 + 115. Let a = g + -62. What is the remainder when p is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 92809421 and 4.\nAnswer: 371237684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 21, -114, -267, -438, -627?\n\"Answer: -9*n**2 - 108*n + 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 9:11 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 23210 (base 7) to base 9\nAnswer: 8125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 947058?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 5*k - 9 - 16 = 0, -2*k = -2*n + 16. Suppose -4*m - 2788 = -5*q, -5*q - n*m + 844 + 1971 = 0. Suppose 4*a + 3*a = q. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55267 divided by -1?\nAnswer: 55267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/1230266 and 127\/310.\nAnswer: 6151330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a + 62 - 62.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -41, -55, -79, -113, -157, -211, -275?\n\"Answer: -5*k**2 + k - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 37025 and 5924?\nAnswer: 148100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20001211 + -11?\nAnswer: -20001222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 75*m**2 - 248*m + 2031. List the prime factors of v(8).\nAnswer: 37, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.03 and 0.14?\nAnswer: -0.0042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.9272 + 0.0728. Which is the second biggest value? (a) w (b) 20 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3366412 and 1506?\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -14. Suppose 0 = f + 3*u - 0*u + 1, -5*f + 14 = -4*u. Let n(s) = 4*s - 4 + f*s + t*s**2 + s**3 + 3. Give n(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 + 9*j. Determine d(7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus 3137526.8894?\nAnswer: -3137523.8894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -1 + (0 + -1 - -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + 4*g - 1. Let j(m) be the third derivative of -m**5\/15 - 17*m**4\/24 + 2*m**3\/3 - m**2. Suppose -163 = 66*q + 431. What is q*h(s) - 2*j(s)?\nAnswer: -s**2 - 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 3*g = -9, -4*b + 8 + 12 = 4*g. Suppose b*s - 37 + 13 = 0. Let z(l) = 6*l - 5. Does 18 divide z(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -495, -500, -517, -552, -611, -700, -825?\nAnswer: -992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 AM and 11:21 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1ba - -89?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.045284 and -29 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -177254, -177248, -177242, -177236, -177230?\nAnswer: -177224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42 - 18. Find the common denominator of m and -37\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(864) - (sqrt(864) - ((sqrt(864) - (sqrt(864) - sqrt(864)*3)) + sqrt(864))) - sqrt(6)).\nAnswer: sqrt(3)\/47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 164729320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-44)\/14 - -10*(-21)\/245\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + f + 11 = 0, -3*y = -6*y + 5*f + 27. Which is the second smallest value? (a) -0.4 (b) y (c) -2\/13 (d) 3 (e) 33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (1 - (2 + -2 + 2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of -s**4 - 11*s**3\/3 + 3*s**2\/2 + 9*s + 54. What is the tens digit of z(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/923461 and 17\/51590.\nAnswer: 9234610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of -1376*l**7\/7 - 356*l**3\/3 - 3*l**2\/2 - 443. Find the third derivative of b(a) wrt a.\nAnswer: -165120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1042.06 + -1057. Let h = -15 - b. Round h to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -38, -65, -114, -191?\nAnswer: -302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -23\/10 not equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -1. Suppose 0 = 2*v - 4*c - 208, y*c - 15 = 3*c. Suppose 10 + v = 4*n. Solve 3*g + 31 = -5*i, 4*g = g - 4*i - n for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11010 (base 2) to base 15.\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d*d\/(d\/(d\/(d\/d**(-20))))*d)**(-6\/5)\/((d**32\/d)\/(d*d**(-2\/9)*d)) assuming d is positive.\nAnswer: d**(-451\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5971133682 and -0.1.\nAnswer: 5971133681.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26909744.\nAnswer: 2, 43, 39113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/(-6)*(-3)\/2. Suppose -q*c - 15 = -5*c. Let m = c - 1. Calculate the lowest common multiple of 22 and m.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 0 + sqrt(11) + 0)**2*6*-2 - ((sqrt(55)\/(sqrt(720) - sqrt(720)*-1))**2 - (sqrt(55)\/(-2*sqrt(405) - sqrt(405) - sqrt(405)))**2).\nAnswer: -1244215\/5184 - 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5457 - 5083. Solve 347 - g = -3*a for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 336.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7013.98 + 454749\nAnswer: 461762.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12200012 + 11?\nAnswer: 12200023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*i + 1407 = 87*i + 63*i for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 802 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 110*q**2 + 19*q + 11. Let s(a) = 55*a**2 + 8*a + 6. Let t(n) = -6*d(n) + 11*s(n). Find the second derivative of t(g) wrt g.\nAnswer: -110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -57*k**3 + 3*k**2 + 2*k + 8. Let p(w) = 172*w**3 - 10*w**2 - 6*w - 26. Determine -3*p(u) - 10*r(u).\nAnswer: 54*u**3 - 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 40 = 7*a. Suppose h + 0*d + 11 = 4*d, 4*h - 24 = -d. What is the second derivative of -a*l**h - 4*l**5 + l**5 - 2*l wrt l?\nAnswer: -140*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2c561 (base 14) to base 4.\nAnswer: 123003221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 14 = 5*o, 1528 = -n + 2*o + 1539 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -61*u + 1297. Let d be i(5). What is the greatest common divisor of 16 and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3*k**2 - 30*k + 75. Let r be u(-12). Suppose -4 + 0 = -g. Solve g*o = r*o - 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of -c**4\/4 + 4*c**3\/3 + 10*c**2 - 6*c - 566. Give r(7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1044)\/72)\/29)\/((-1)\/(-4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**3 + 1395*a**2 - 49173*a + 211365.\nAnswer: -3*(a - 427)*(a - 33)*(a - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 - 7*b**2 + 9*b - 31. Let o be v(7). Let h(s) = 2*s**2 - 65*s + 39. Calculate h(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -81 (b) 3\/5 (c) 5 (d) -8\/69\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2273 rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - 18*b**2 + 6*b - 13. Let y be u(-19). Calculate the highest common divisor of 416 and y.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -143959 + -45641. What is q rounded to the nearest 1000?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 17484*h - 17489*h + 4*k, 0 = 5*h + 12*k - 38 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -69 + 80 - (-490)\/(-48). Let l(j) be the third derivative of -1\/2*j**3 + 0*j + 0 - r*j**4 - 16*j**2. Differentiate l(y) with respect to y.\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 3*o + 5. Let l(k) = k + 1. Let n(h) = -2*l(h) + z(h). Let m be n(-6). Let r(d) = d**2 + d + 1. Is r(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235.1002 millennia in decades?\nAnswer: 23510.02","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/211 or -205?\nAnswer: 1\/211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26849 is divided by 85.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -300*q*u**3*x**2 - 82*q*u**3*x - 7*q*u**2*x**2 - q*u*x**2 + 6*q*x**2 + u wrt u?\nAnswer: -1800*q*x**2 - 492*q*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -6.5. Let j = f - -0.7. Let g = 1.1 - 1.2. Which is bigger: j or g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 0*p + 1614 = p, -3*f = -4*p - 1201. Calculate the remainder when f is divided by 81.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k - 79 - 103 = 0. Let v be (-190)\/567 + k\/(-49). Which is smaller: v or 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 182945*k. Let p(x) = 2*x**2. Give w(p(d)).\nAnswer: 365890*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**5 - 24*o**4 - 32*o**3 + 24*o**2 + 28*o.\nAnswer: 4*o*(o - 7)*(o - 1)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 81 and 486?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -565*a + 6. Let f(k) = 1436230*k - 15255. What is 4*f(z) + 10170*h(z)?\nAnswer: -1130*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5971971353 to the power of 1\/2, to the nearest integer?\nAnswer: 77279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3\/7 - 2\/21. Let l be -5 + 4 - (116\/(-60) - 6\/(-10)). Determine k so that u*k**2 + 2\/3*k + l = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10.511 + -0.011. Let p = -6.2 + q. Let z = p + -4. Which is the third smallest value? (a) 1 (b) z (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 16*n**5 + 76*n**4 - 932*n**3 + 1748*n**2 - 1084*n + 176 = 0. What is n?\nAnswer: -11, 1\/4, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of -11\/8*r**4 + 0*r + 19 - 1\/336*r**8 + 3\/70*r**7 + 3\/2*r**3 + 23\/30*r**5 - r**2 - 1\/4*r**6. Factor y(s).\nAnswer: -(s - 3)**2*(s - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 PM and 4:31 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 0.2 (b) 0.4 (c) -0.2 (d) -21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-3))\/(-1*55\/22)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/24329170 and -33\/5288950.\nAnswer: 121645850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 2 + 2 = 0. Let h be -1 - c - 3\/(-1). Let s = 5\/4 - 7\/4. What is the biggest value in s, -2\/9, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 119729?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 5:22 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171*x - 36*x = 9*x - 2376 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 236185 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -19048494, -19048462, -19048410, -19048338?\n\"Answer: 10*y**2 + 2*y - 19048506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -121 minus -7012?\nAnswer: 6891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 47421 and 35442.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 259530?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**9*q*q)\/q**(-6) assuming q is positive.\nAnswer: q**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -3*n**3 + 9*n**2 + 7. Let b(m) = 6 + 3*m**2 + 138*m**3 - 590*m**3 + 451*m**3 - 4. Calculate -7*b(v) + 2*q(v).\nAnswer: v**3 - 3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) + (sqrt(104)*-1 + sqrt(104) - sqrt(104) - sqrt(104))*3)\/(sqrt(648) + -2*sqrt(648)) + 4)**2.\nAnswer: 40*sqrt(13)\/9 + 1621\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 98\/3 of a week in hours?\nAnswer: 5488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10137 - -10136.9977385. What is c rounded to four dps?\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eaaqqeqqaqaqahhqhaa. What is prob of sequence ehaa?\nAnswer: 7\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 5*p + 91096 = 0, p = n - 3*n + 45534. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 18565*f**2 + 3*f + 4. Let z be u(4). Suppose -5*m + z = -27544. Suppose 0 = -5*p + m + 20080. What is p rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o + 4 = -12. Let p be (o\/(-4))\/((-9)\/30). Which is the biggest value? (a) -1 (b) -0.4 (c) 0.5 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9709763 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1736, 3897, 7496, 12533, 19008, 26921, 36272?\nAnswer: 47061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 713.3709 rounded to the nearest integer?\nAnswer: 713","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 222 (base 3) to base 4\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 + 63*j**2 + 222*j + 5915. Calculate n(-61).\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 352, 305, 258, 211?\n\"Answer: -47*i + 399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 c when two letters picked without replacement from {x: 1, d: 1, m: 2, u: 1, c: 2, f: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/3)\/k)**(-47)*(k*k\/(k\/(k*k**(-6\/5))))\/(k\/(k*k**6\/k)))**(-11) assuming k is positive.\nAnswer: k**(-3542\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-9) + (-9120004)\/(-6). Suppose 0 = -5*w + 2*m + 1 + 25, 0 = -3*w - 4*m. Suppose w*t = 2*t + o. What is t rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 + 6*j - 1. Suppose -6 = 3*z + 9, 0 = 5*w + 2*z. Suppose 0 = w*i - 4*n - 30, -4*i + 3*n = -9*i + 10. Calculate u(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 6) in base 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000462653 to 6 dps.\nAnswer: 0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.32, -0.1, 1\/5, 5\/2 in descending order.\nAnswer: 5\/2, 0.32, 1\/5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -4*w**2. Let r(s) = 1171*s - 1. Determine x(r(z)).\nAnswer: -5484964*z**2 + 9368*z - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 416358941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - g = -5, 3*g - 2 - 1 = 0. Let p(i) be the second derivative of i - 5\/2*i**2 + 0 + 1\/6*i**3. Calculate p(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 206.69 + -208.29. What is the nearest to j in -1, 4\/13, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 8*j - 1. What is the units digit of f(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4326577066788 minus -13?\nAnswer: 4326577066801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 103270 or 103272?\nAnswer: 103272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-550)\/1375*(-5)\/(-37)\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*l - 6*l - 162*l + 5*l - 9063 = 0 for l.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(1*2354\/812). Let t = -2\/107 + y. Is t smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 9. Let w(u) = u + 7. Let t(c) = c + 8. What is k*t(x) + 6*w(x)?\nAnswer: x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -5*r**3 + 7 + 6*r**3 + 10*r + 5*r**2 + r + 7*r**2 + r**3. Calculate z(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(176) + -1.\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + 12*m**2 + 9*m - 108. Let f be j(12). Let p be (f\/(-11))\/(-9)*(-2)\/2. Solve 1 + p = z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.167558007 to 3 dps.\nAnswer: 2.168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - (-415)\/2) + 30\/20 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 13, r: 3}. What is prob of picking 2 r?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 12723320, 12723325, 12723340, 12723371, 12723424, 12723505, 12723620?\n\"Answer: g**3 - g**2 + g + 12723319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 6*s + 1)*(-59*s + 669 + 10*s - 721).\nAnswer: 294*s**2 + 312*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -41 + -127f?\nAnswer: -12c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4 and 2.466101906.\nAnswer: 6.466101906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 224194, 896832, 2017882, 3587344, 5605218, 8071504, 10986202?\n\"Answer: 224206*h**2 + 20*h - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-11)\/(-330)*-5.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 447820 is divided by 75?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of 3*o**5\/20 + 5*o**4\/12 + o**3\/3 - 32*o + 7. Calculate g(-3).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*m - 13865 = -8*m - 247189. What are the prime factors of m?\nAnswer: 13, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 2350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -8*s - 21. Let v be j(-4). Suppose -v*r = -r - 50. Suppose -2*o + 139 = -r*c, -5*o + 154 = -c - 228. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -j - y + 110, 4*y + 362 = 3*j. Suppose 0*f = 14*f - j. Solve -2*p = 2*z + 14, -z = -0*p - 3*p - f for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 47*i - 513. Let s be n(-12). Sort s, -2, -1 in ascending order.\nAnswer: s, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 107 and 0.06261134.\nAnswer: 6.69941338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 14832114, 14832193, 14832272, 14832351, 14832430, 14832509?\n\"Answer: 79*s + 14832035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/6, -3\/7, 0.044, 3, 75.5?\nAnswer: 75.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.06, 2, -25, -4, -8.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**2. Let v(s) be the first derivative of -s**6\/36 - 2*s**3 - 2. Let f(m) be the third derivative of v(m). What is f(l(w))?\nAnswer: -40*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 442, 884, 1326, 1768, 2210, 2652?\nAnswer: 3094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 5*u + 6, -25*f + 22*f = 2*u + 3. Which is the nearest to 1\/9? (a) 2\/9 (b) f (c) -0.106\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -307\/639?\nAnswer: -307\/639","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 910*c - 909*c - 53 = -3*j, 0 = c + 4*j - 71 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 5*d - 1230 = 0. Let c be (8\/(-6))\/((-4)\/d). Let q = c - 57. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*y + 2*y - 3*r, -y + 10 = -4*r. What is the lowest common multiple of y and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of -b**6\/120 + b**5\/30 + b**3\/3 + 2*b**2. Give k(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -2 + (13 - 7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24357005?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 176*o + 59. Is x(10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -21 (b) -44 (c) 3 (d) 2 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1476, 1484, 1496, 1512, 1532, 1556, 1584?\nAnswer: 1616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 4*v = 413, r + 0*v + 3*v - 131 = 0. What is the remainder when r is divided by 48?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0976 - 0.101952. Round d to four decimal places.\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 16*z**2 - 46*z. Let t(s) = 31*s**2 - 92*s. Let r(k) = -5*f(k) + 3*t(k). Find the second derivative of r(q) wrt q.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 9*w = -110. Suppose 0 = 5*p - 2*s - 13, -8*s + w = -p - 11*s. Is 2 at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 3*b - 15 = -4, 11 = -y + 5*b. Solve y*k + 3*j + 12 = 5*j, 5*k = 4*j - 18 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - 110217.\nAnswer: -110216.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -2*d + 2, 2*d - 5*d - 5 = -5*f. Solve -3*x + y = -1 - 9, 5 = f*x - 3*y for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*z + 189 = 5*c, -5*c + 4*z + 194 = 0. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2194 (base 10) to base 6.\nAnswer: -14054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 341029795 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = t + 33 + 11, -3*t = -b. Suppose 2*j = j + b. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -215, -233, -263, -305?\n\"Answer: -6*z**2 - 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4.2, 0, 6, 1, 5 in decreasing order.\nAnswer: 6, 5, 1, 0, -4.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g - 6. Let u(b) = -28*b**2. Give u(f(z)).\nAnswer: -112*z**2 + 672*z - 1008","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3211?\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -291 + 496. Let r be 123*(3 - (-21)\/(-9)). Calculate the highest common factor of t and r.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*w + 90*w = -53*w - 954 for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*i - 192*i - 11*i - 50*i)*(-1 - 1 + 1).\nAnswer: 223*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6 - -4)*(157 + -164 - 127\/(-18)). Put g, -5, 1, 64, -4 in decreasing order.\nAnswer: 64, 1, g, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**13*j**(-8) assuming j is positive.\nAnswer: j**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - 7*s - 14. Let y be q(-5). Let w = y - -105. Is 2\/49 bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26627 is divided by 8873.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -7*j**2 - 6*j - 4 - 4 + j**3 + 14*j. Let f be x(6). Suppose -2*d - 4*p - 17 = d, 0 = -f*d - 2*p - 6. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.11 (b) -4 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of a**6\/6 + a**4\/4 - a. Find the third derivative of u(b) wrt b.\nAnswer: 120*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 145901338?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 9) in base 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.0501, 1\/7, -4, -1\/5, -3 in descending order.\nAnswer: 1\/7, 0.0501, -1\/5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 105 and 3.\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -6*l**2 - 6*l + 28. Let r be (-24)\/(18\/24*2). Let g(y) = -2*y**2 - 2*y + 9. What is r*g(k) + 5*d(k)?\nAnswer: 2*k**2 + 2*k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 9:49 PM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25.7 - 22.7. Let b = -2 - -3. Put r, -0.1, b in ascending order.\nAnswer: -0.1, b, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -147904 - -210361. List the prime factors of j.\nAnswer: 3, 109, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*t = 23*t - 128 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(19265\/1070 - 18). What is the greatest common factor of 3531 and m?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 4:39 PM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37\/2*((-7068)\/(-133))\/(-62)*7.\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 - 5*q + 6. Let y be s(4). Solve u - 8 = y*g - 7*g, g - 10 = 4*u for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 + -76 + -1 + -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/3)*y)**18*(y\/(y*y\/(y\/(y\/(y\/(y\/y**(-1)*y)*y))*y)))**(9\/2))\/((y\/(y\/(y\/(y\/(y**1*y))*y)))**31\/(y**(-7)*y**8)) assuming y is positive.\nAnswer: y**(-133\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3218 = 2*j - 7*j, -k = 3. What are the prime factors of j?\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0.126, 0.5 in decreasing order.\nAnswer: 0.5, 0.3, 0.126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*c + 1194 = -223. What are the prime factors of c\/((-16)\/3 + 5)?\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - c = 0, -r - 3*c - 46 = -48 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 AM and 1:09 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -75590, -75594, -75598, -75602, -75606, -75610?\n\"Answer: -4*z - 75586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 93*n - 166*n + 79*n + 54 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 623 - 620. Is 46 a factor of 44*(6 - (-22)\/12*g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/126)\/((-1)\/(-3)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3016, 23999, 80912, 191719, 374384, 646871, 1027144?\nAnswer: 1533167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -3*m**2 - 194553501*m + 194553504 = 0.\nAnswer: -64851168, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -1\/13, -10, -5, 23, 1\/4 in increasing order.\nAnswer: -10, -5, -1\/13, 0, 1\/4, 2, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -15 + (-161)\/(21\/(-3)) + (-5 - -2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -22112111122011 (base 3) to base 14\nAnswer: -861618","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25.9, -7\/10, -627 in decreasing order.\nAnswer: -7\/10, -25.9, -627","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -0.5, 3, 9087, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**(-3)*l))**(-6\/11)*(l**(-1))**(-7) assuming l is positive.\nAnswer: l**(59\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 4*q + 20 = 0, -3*w = -2*q - 2354. Suppose w = -2*v - 4*t, 5*v + 1729 + 265 = -2*t. Let l be v\/3*5*150. What is l rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 917\/9 + -13961\/144. Let a = 3401\/7 + -485. Find the common denominator of t and a.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 46828846.95 to the nearest one million.\nAnswer: 47000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 5 = 2*s. Let q = 63 + -18. Let p be 3*(-2)\/q*3. Is p at most as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 5*q - 26. Suppose -3 = -q*t + 17. Which is greater: 4 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223 is divided by 180?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h = 9*h + 20. Solve -o + h = 4*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gkpypk. Give prob of sequence kyg.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 1 - 2*d)*(10 - 2 + 7) + 2*d + 2 + 7 - 5)*(1 - 4 + 4) to z + s*d and give s.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2757 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 23229136.\nAnswer: -1\/5807284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21519 rounded to 3 dps?\nAnswer: -0.215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/7, -5\/4, 7\/4 in descending order.\nAnswer: 7\/4, 5\/7, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -590*p**2 - 198*p**2 - 205*p**2 - 32*p**2.\nAnswer: -1025*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -124866252 divided by -4459509.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1613114 to the power of 1\/2, to the nearest integer?\nAnswer: 1270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1079 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*b = 15*b + 2. Find the first derivative of -6 + 2*o + 2*o - 28*o - b wrt o.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 u when two letters picked without replacement from {p: 1, n: 10, d: 3, u: 2}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 - 7*r + 3. Let w(c) be the third derivative of c**5\/60 + c**4\/4 - c**3\/3 - 3*c**2 - 70*c. What is 3*i(n) + 4*w(n)?\nAnswer: n**2 + 3*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -7b (base 16) in base 10?\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and 6171825120587.\nAnswer: 6171825120586.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 81223 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 96567987?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 190 = 5*m + f, -5*m + 136 = -m + 4*f. Suppose -45 + m = -2*y. What is the units digit of (y\/(-6))\/(1\/(-166))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -156 - -247. Let n = -79 + b. Solve -2*h - n = h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8607920 to the power of 1\/2, to the nearest integer?\nAnswer: 2934","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.037409 (b) -0.5 (c) 154\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 n when four letters picked without replacement from ndndndnddnnnn?\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-12)\/10)\/(2\/5). Let g be ((-3142)\/(-16))\/(m\/2). Let l = g - -131. Calculate the common denominator of l and -39\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 62822\/7 + -8989. Let y = 14 + a. What is the common denominator of y and (25\/7)\/((-6)\/(-7))?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -181, -498, -829, -1180, -1557?\nAnswer: -1966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 1 - (-35 - (-113 + 78)) - (-1 + 39).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1018458845 to the power of 1\/2, to the nearest integer?\nAnswer: 31913","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbggggbybbg. What is prob of picking 1 y and 2 b?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26272 and 928?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/17, 0.1, -0.18, 0 in ascending order.\nAnswer: -0.18, 0, 0.1, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20722 + -20633. Calculate the remainder when v is divided by 87.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 476*s + 44 = 4*g + 472*s, 5*g = 4*s + 57. Put 2, -2, g, -4, 0 in descending order.\nAnswer: g, 2, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 303 - 225. What is the highest common factor of 18 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 733902?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 158770961 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.879326nm in meters?\nAnswer: 0.000000009879326","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22 - 2313?\nAnswer: -3001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.07? (a) -0.2 (b) -77 (c) -32 (d) 1\/5 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1718 - 61?\nAnswer: -1780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7173*n**3 + n**2 - 1393*n?\nAnswer: 43038*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29290 is divided by 8124?\nAnswer: 4918","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -31281\/482 or -66?\nAnswer: -31281\/482","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, -0.03, -0.5, -13.4, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = 5*w - 40, -12488*y - 2*w = -12490*y + 2 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 145001186?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 185, 31, 5, -29\/3 in decreasing order.\nAnswer: 185, 31, 5, 3, 2, -29\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + 8*z**2 - 3*z + 12. Let n be p(8). What is the common denominator of 37\/11 and (n\/(-8))\/(15\/73)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3 + 0 - 5)*(4 - 6 + 3) - 3 + 0 + 1 - 3 - 2 + 2)*(0*s**4 - 3*s**4 + 5*s**4) as g*s**4 + i*s**2 + b*s**3 + y + p*s and give g.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 673921*c**3*h**3 + 4117*c**3*h**2 + 64*c**3*h - c**2*h**2 - 2*c**2*h + 594*c*h**3 + 24*c*h wrt h.\nAnswer: 4043526*c**3 + 3564*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -447 = 4*k + 3*m, -2*m + 108 = -k - 4*m. Let s be 400\/300 - 3\/((-9)\/(-523)). Let h = k - s. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d + -134?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*g - 48*g + 1481*g**3 - 1458*g**3.\nAnswer: 23*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2761? (a) 4\/13 (b) -1 (c) -15\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, r: 1, c: 5, b: 1, f: 3}. What is prob of picking 1 l, 1 f, and 1 r?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus -0.072534767?\nAnswer: 0.127465233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 607787 to the nearest integer?\nAnswer: 780","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -744 by -93.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -11*(-1)\/330*3\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 546488855*t**6 + 3*t**2 + 39*t - 276201.\nAnswer: 65578662600*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + 2*f**2 - f)*(-4*f + 3*f + 2*f) + (-2*f**2 + f - f)*(-5*f + 0*f + 4*f) - 5*f**3 + 5*f**3 - f**3 - f**2 + f**2 - 4*f**3 - 2*f**2 - 2*f**3 + 2*f**2.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-422)\/12 + (-225)\/(-1350) - 18.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (581 - 577 - (-21 - 1)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -525*u**2 + 185 - 185 + 523*u**2.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 0 + 35\/(-28) + 10445\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, b: 16}. Give prob of picking 2 t.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -194*r + 2160 + 3651 = -0*d + 3*d, 123 = 4*r - d for r.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -668 - -670. Solve -3*t + 21 = 3*k, -5*k + 9 + 12 = -c*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.8 - 15.2. Let v = -20 - w. Let y = 4168\/9 + -464. Put -2, y, v in increasing order.\nAnswer: -2, v, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00009 to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3751692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -37 (b) -5 (c) -1\/2 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 - 3*f - 1. Give o(-3).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19074, -38196, -57392, -76662, -96006, -115424?\nAnswer: -134916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -44 - -49. Put n, 3\/4, 2\/9 in ascending order.\nAnswer: 2\/9, 3\/4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -31 - 0.2405.\nAnswer: -31.2405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 14466 divided by -4822?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -37*r**2 - 21*r**2 + 19*r**2 - 29*r**2 + 81*r**3 wrt r?\nAnswer: 486","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**3 + 3*m**3 - 5*m**3)*(0*m + m + 0*m) + (3*m + 13*m - 107*m)*(3 - 3 - m**3) - 4*m**4 + 2*m**4 + 3*m**4.\nAnswer: 90*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 + -8 + -4 + -33?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (73870\/249)\/(-178)*(32\/(-12))\/4*63?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10964.\nAnswer: 2, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of -1\/24*c**5 + 1\/6*c**4 + 1\/240*c**6 - 1\/3*c**3 + 25*c**2 + 2*c + 0. What is b in r(b) = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -849 or 2\/9?\nAnswer: -849","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 78.9 - 78.8. What is the closest to 2\/7 in 2, a, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 0.49661?\nAnswer: -0.49661","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13204 + 10*g + 27*g + 6500 + 6705.\nAnswer: 37*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + 14. What is the smallest common multiple of i + (-12)\/54 - (-368)\/36 and 36?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6 + 2)\/(14\/(-35)). Let k be (2\/3)\/(d\/15). What are the prime factors of ((-201)\/3)\/((2 + -3)*k)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of 0*w**3 - 1\/168*w**8 + 0 + 0*w**7 + 1\/30*w**5 + 0*w**6 - w**2 + 0*w + 0*w**4. What is the third derivative of q(x) wrt x?\nAnswer: -120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4\/15, -4, -5, 11 in decreasing order.\nAnswer: 11, 4\/15, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1604756 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/64)\/(-6*1\/(-8)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of -s**4\/4 - s**3 + 3*s**2 + s + 9. Let j be w(-4). What is the units digit of (10 + 0)*j\/(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*b**5 + 94*b**4 + 46945*b**3 + 5*b**2 + 19475330*b.\nAnswer: -180*b**2 + 2256*b + 281670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 2*u = -4, -4*u + 1 - 3 = 3*v. Suppose -45 = -v*d - 9. Calculate the remainder when 20*(-1 + (-65)\/(-25)) is divided by d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 257884 by 64471.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 - 4*z - 2. Calculate the smallest common multiple of 2 and f(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13.77 - -14.07. Let d(r) = 24*r - 121. Let m be d(5). What is the nearest to u in m, -6, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 15886745 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + 0. Suppose -35 = -4*s - s - b*t, -4*t - 21 = -3*s. What is the highest common divisor of s and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h = -417 + 2441. Let a = 2279\/9 - h. Determine g, given that 0 - 2\/3*g**3 + 4\/9*g**2 + a*g = 0.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.91338 milligrams in nanograms?\nAnswer: 57913380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -105 + 105. Suppose -v - 56 + 191 = g. What is the units digit of (-13)\/(-5)*1 - (-54)\/v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2693 times 1?\nAnswer: 2693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3946943 and -1692.\nAnswer: -3948635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 + 3*l - 4. Let b be o(3). Let s = 6 + b. Let w = 7 + s. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31342166 is divided by 88?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112*m**2 - 113*m**2 + 226*m**2.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 306 - -91. Let p = 676 - j. Suppose -2*v - 5*y = -172 - 0, -3*v + p = -3*y. Calculate the highest common factor of v and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 7*d = 11*d - 35, -45 = 5*q - 5*d for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/11 (b) -4\/5 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1080 - 129. Calculate the remainder when f is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.4 - 5. Let x = -0.9 - i. Let p = -0.6 - x. Round p to 0 decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 25 + 13. What is the highest common factor of q and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 3, -4, 420 in decreasing order.\nAnswer: 420, 21, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -101489 + 101488.9915262. Round h to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -33*p + 675. What is the smallest common multiple of 55 and p?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203488127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 14*n - 10*n. Suppose -42 = -n*w - 12. What is the remainder when 24 is divided by w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5660782 rounded to the nearest 100000?\nAnswer: 5700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 63073 or 63090?\nAnswer: 63073","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 136 - 140.65. Let i = 5 + d. Let g = i + -0.05. Which is the biggest value? (a) -3 (b) 1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 71 + -72 - (-1 - 0) - 18?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -3*z - 5*z**2 + 5 - 3*z**3 + 0*z**2 - 6*z**2 + 6*z**2 - 11*z**2. Give r(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*q - 2034 + 354. Calculate the highest common divisor of q and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17 or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, u: 2, o: 2, n: 6}. Give prob of picking 2 p.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/65 and -23\/65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j**2 + 3*j + 2 + j - 5*j - 2*j. Let t be c(-2). Let u(l) = -l**3 - 5*l**2 + 6*l + 2. Let p be u(-6). Solve -3*a - p*a + 5 = t for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 10*n**2 - 8*n - 9. Let a be w(9). Suppose -5*b - 20 = a, 3*b = -5*u - 0*b + 708. Suppose -u = 13*q - 17*q. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 7) to base 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 8\/181, 1, 15?\nAnswer: 8\/181","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*o - 3*o + o + o - 2*o + 3*o - o - 2*o + 6*o + o + 2 - 2 + o + o - 3*o + (2*o - o + o)*(0 + 4 - 2) + 2 + 2*o - 2.\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 13*a + 18 = 14*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 7*w**2 - 6*w - 2. Let o = -8 - -2. Let v be p(o). Let y = 3 - v. Solve -17 = y*q - 2 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -18158, -36283, -54408, -72533?\n\"Answer: -18125*r - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19327*w**2 + 19 - 19 - 244*w**3 - 19327*w**2.\nAnswer: -244*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b**2 + 60*b - 170. Give c(27).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + -5a125?\nAnswer: -5a124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 697224 divided by -556?\nAnswer: -1254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/468)\/(-1)*24\/((-32)\/4)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = 370*s - 371*s - 6, -s - 26 = 7*a for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 352 + -13063510?\nAnswer: -13063125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2 + 2 - 3 + 6*q + q**2. Let p be c(-7). Let h = -0.26902 - 0.03098. Sort -0.2, h, p in ascending order.\nAnswer: h, -0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, e: 2, m: 3, d: 5, x: 8}. Give prob of picking 1 e and 1 s.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 21*i - 8. Suppose 23*m - 121 = 12*m. Let s(d) = 7*d - 3. Give m*s(y) - 4*n(y).\nAnswer: -7*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 13317?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 60008844.3 to the nearest one hundred thousand.\nAnswer: 60000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 151, 159, 167, 175?\nAnswer: 183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven halves of a decade?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -139*p**2 + 19726*p + 1679. Give s(142).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 + 7*l - 9. Let a be y(2). Let q be 136\/(-8)*(0 - a). Differentiate q*r + 7*r + 2*r - 3*r - 27 with respect to r.\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 5 + -8 + -3 + 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28204*p**3 + 56399*p**3 - 28198*p**3.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-13)\/(4\/112*4). Let z be (-2)\/(-13) - (-560)\/p. Let x be (z\/(-2))\/(-12)*-8. What is the greatest common divisor of 6 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/5 (b) 3 (c) 4916071\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 1:12 PM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 2:57 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 3*t + 8 + 2 = 0, -4*d = 3*t + 13 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 24 = 7*x. Let f(u) = 4*u**2 - 4*u - 2. Let y be f(-3). Let m = y - x. Is m a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -118, -12749.\nAnswer: -12749, -118, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14208 = -1326*v + 942*v for v.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 AM and 3:05 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 332266*s - 330141*s = -63750 for s.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f + 3*k - 7, 0 = 2*f + k - 12 + 3 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-172)\/(-258))\/((-5)\/3)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u - 3. Let f be k(-9). Let z be (2\/4)\/((-8)\/(-80)). Find the second derivative of 13*c**5 + 3*c**5 + 6*c - c**z - f*c**5 wrt c.\nAnswer: 180*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12061, 12033, 12005, 11977, 11949, 11921?\nAnswer: 11893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/(-3)*15\/4. Let m(a) = -a**3 - 9*a**2 + 10*a + 1. Let d be m(t). Let f be (-2)\/(-3) - (-4)\/3. Which is greater: d or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 m when four letters picked without replacement from {g: 5, m: 5}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4 + -2*(sqrt(11) + 1) + (-5*1*sqrt(99))**2 + -1).\nAnswer: -8*sqrt(11) + 9904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 545081*s + 12536861. Determine z(-23).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5627 or 5624?\nAnswer: 5624","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 209 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 3. Let j be 29 + (g - (-1 - 1)). What is the highest common divisor of 243 and j?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 440632 is divided by 2770.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -81016\/7 - -11535. Let m = 39 + y. Which is the second biggest value? (a) -1\/5 (b) m (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/9 - 4103*k\/9 - 16364\/3.\nAnswer: -(k + 12)*(k + 4091)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2113 divided by -1261.\nAnswer: -2113\/1261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(304)*3.\nAnswer: 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 52416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 7}. What is prob of picking 4 c?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -23 (b) 1\/2 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of v**6\/90 - 7*v**5\/60 + 4*v**4\/9 - 2*v**3\/3 - 9*v. Factor g(q).\nAnswer: q*(q - 3)*(q - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*v - 25 = -133. Let r = -28 + 30.6. Let c = r - 0.6. Sort 0, v, c in ascending order.\nAnswer: 0, c, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 2\/9 (c) -20.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30456 divided by -564.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s + 5. Suppose 15 = -2*t + 5*h - 6, 3*t + 5*h = 6. Let k be m(t). Let b be 9\/(-1) + 2 + k. Put 2, -2, b in decreasing order.\nAnswer: 2, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29524 - -29523. Which is the biggest value? (a) w (b) 2\/5 (c) -0.1 (d) -3\/31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 3\/4 (c) -2\/7 (d) -0.065 (e) -6 (f) 5 (g) 0.086\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 - 6*n - 4. Let u be l(-6). Let m be ((-2)\/(-22))\/(u\/40). Let d = m + -189\/22. Calculate the common denominator of -103\/20 and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4}. Give prob of picking 4 x.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 2*b - 500, 37*b - 316 = -3*l + 39*b. What is the highest common divisor of l and 5032?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -11.8\nAnswer: 23.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*r**4 - 28*r**3 - 26*r**2 + 12*r.\nAnswer: -2*r*(r + 2)*(r + 3)*(3*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 103, 203, 303, 403, 503?\nAnswer: 603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 47 = 23. Suppose 10*u - 12*u = -2*a + 20, 4*u + 43 = a. Put u, 0, i, -4 in ascending order.\nAnswer: u, -4, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*v**5 + 741*v**4 - 11947*v**3 - 29501*v**2 - 20217*v - 3400 = 0. What is v?\nAnswer: -200, -1, -1\/4, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8.76593438 - -8.766. Round u to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -269779, -269774, -269769, -269764?\n\"Answer: 5*n - 269784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + 5\/(5\/(-3)). List the prime factors of ((-6)\/n)\/(6\/16).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3448561 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 15195056, 15195057, 15195058, 15195059, 15195060, 15195061?\n\"Answer: v + 15195055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8694?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 3*k + 0*k)*(-2 + 0 + 1) + 1 - 1 + 2*k + (0*k + 2*k + 3*k)*(-2 - 3 + 7).\nAnswer: 11*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)*-2 + 3.\nAnswer: -6*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -1531*f + 7. Is 14 a factor of n(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/9, 18513, 3\/4, -12?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 32 = 8*h. Let r be -1 - (0 - (-16)\/h). Which is the third biggest value? (a) 1 (b) r (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5253337 (base 8) in base 6?\nAnswer: -45550303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.827991*0.9.\nAnswer: 0.7451919","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 129365 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2\/29, 1\/2, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 107 + 692. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vzv when three letters picked without replacement from vzzvvzzzzvzvzvvz?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 71 + -499\/7. Which is the closest to m? (a) 3 (b) -3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12370 + 12369.2923. Round f to two decimal places.\nAnswer: -0.71","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i = 5*i + 12. Let l be ((-4)\/88)\/(2 + (-5)\/i). Which is smaller: 0 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -132*a - 282. Calculate g(-5).\nAnswer: 378","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7.000165 - 7. Let z = 0 - u. What is z rounded to five dps?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/199, 3\/1145, 0.1, 0.4, -0.5, -0.2?\nAnswer: 3\/1145","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -148202.7 times 150\nAnswer: -22230405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 22013645 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10362552?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 24.1 (c) 225\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 184*b**3 - 64*b**3 - 39*b**3 + 12*b**3 - 5*b**3.\nAnswer: 88*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of 27\/7*q**2 + 125 + 1\/7*q**3 + 0*q. Determine l so that o(l) = 0.\nAnswer: -18, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/3280 and -103\/2624.\nAnswer: 13120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 2\/3, -24?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -654 + 619 + 30 + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1538)\/(10\/645*-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 375923.\nAnswer: 375923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 less than 8.9?\nAnswer: -128.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -2*x + 12. Let n = -7 + x. Suppose -25 = 4*r + 5*g, 47*g + 10 = 2*r + 45*g. Solve 3*q + 10 = -c, -n*c + 3*q + 13 + 9 = r for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -849*g**2 - 2*g + 1278*g**3 - 266*g**3 + 527*g**2 + 322*g**2.\nAnswer: 1012*g**3 - 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 58772, 117094, 175416, 233738, 292060?\n\"Answer: 58322*w + 450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p - 7. Let b be j(8). Let k = -3 - -6. Suppose 3*c + 0*c - k*m = 21, 5*c - 4*m = 30. Solve -b = c*a + 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 PM and 12:49 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 4 + 16. Suppose 3*h - 104 = 3*c - 5*c, h = c + 38. Calculate the remainder when h is divided by a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 680 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-14))\/t**(-1\/15))**(16\/9)\/(((t**(-3)*t)\/t**(1\/3))\/(t\/t**(-4\/7)*t**(-6))) assuming t is positive.\nAnswer: t**(-23708\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-9) + (-20)\/(-6). Let m = 4 - l. Is m at least as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qnjn when four letters picked without replacement from {n: 7, j: 2, q: 2}?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2595*k**2 + 5195*k**2 + 1 - 1 - 2602*k**2.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -101101111100 (base 2) in base 14?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 653 + -206. List the prime factors of f.\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -4*x + 15, -4*w + 4*x - x = 21. Let c(y) = 2*y + 4. Let s(t) = -t - 1. Let f be ((-5)\/(-15))\/((-3)\/9). Determine f*c(m) + w*s(m).\nAnswer: m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 3641*b + 588. What is the units digit of w(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 314*o - 2*o**2 - 3 + 68*o + 73*o to u*o**2 + j*o + a and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 + 311427*g - 5605355. What is z(18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 q when two letters picked without replacement from qoiie?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h + 9*h**2 - 5*h - 11*h**2.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f**3*o**3 - f**3 + 8*f**2 + 5538*f + 165*o**3 + 4875*o + 2 with respect to o.\nAnswer: 6*f**3*o**2 + 495*o**2 + 4875","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 61764 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (6126\/(-110268))\/((-2)\/128)\nAnswer: 32\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 136816 + -948906\nAnswer: -812090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, 24, -5, 42, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 4:06 AM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 174813 > 174812?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from ddadfddafddd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.295 + -1.295. Let h = -0.1 - -0.1. Suppose 2*n - 4*q + 2 = 0, 2*n - 7*n = 2*q + 5. What is the nearest to j in n, -4, h?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -106 + 112. What is the highest common factor of b and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18\/19 or 1?\nAnswer: 18\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 182 = 4*t + 3*t. Let b = -320 - -424. What is the greatest common factor of t and b?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1221 is divided by 171.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3. Let m(h) = -3*h**3 - 4*h**2 + h - 3. Let d(b) = -m(b) - 2*v(b). Calculate the remainder when 69\/207 - (-74)\/3 is divided by d(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of -s**5\/24 + s**3 + 26*s + 103. Let g(o) be the third derivative of f(o). Let v(z) = 35*z. Calculate g(v(c)).\nAnswer: -175*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.17638 to 2 dps.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5130 divided by 6\nAnswer: 855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -62045 (base 8) to base 12\nAnswer: -12a05","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-8)\/28)\/((-1)\/7). Suppose -9 = -u*a - 1. Put 1, a, 2 in descending order.\nAnswer: a, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 2*l - 2 = -12, 5*l + 7 = 4*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2579334.\nAnswer: 2, 3, 429889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 127631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 82156 and 460?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a hour in seconds?\nAnswer: 52200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3 - 4.7. Put -2, o, 5 in descending order.\nAnswer: 5, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 16 and 27244.\nAnswer: 27260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -3093439.5 to the nearest 1000.\nAnswer: -3093000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6003307559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 44177 = 44178?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 1041*t + 4154. Calculate y(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**2 - 2*l**2 - 3*l**5 + l**5 + (-l**3 - 2 + 2)*(0*l**2 - 2*l**2 + l**2).\nAnswer: -l**5 - 4*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/5*(-20)\/56*2.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1150 a factor of 32045900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1334 + -1?\nAnswer: 1333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-30)\/(-10))\/(0 + 36\/8). Which is the closest to 0.3? (a) 0 (b) w (c) -5 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5 - 2\/1 - (-11 + 8). Suppose -y*d = -11*d. Solve 0 = 5*j + 4*o + 5, -3*j = -d*o - 3*o - 24 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -463 (b) -0.19 (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.072 + -1.928. Let s = 0.02 - -4.98. Let r = s - 4.5. Which is the second biggest value? (a) o (b) r (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425) - sqrt(17))**2 + 4 - sqrt(85)\/(sqrt(5) + sqrt(15)\/sqrt(3)).\nAnswer: -sqrt(17)\/2 + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t - 6*t + 2*t + (168 - 134*t - 168)*(-3 - 4 + 1).\nAnswer: 803*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 396093038 greater than or equal to -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3*l**3 + 45*l**2 - 274*l - 22. Calculate x(5).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1044?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 454*n**3 + 8*n - 11*n**2 - 9*n - 456*n**3 in the form r*n**3 + b + q*n**2 + m*n and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -4*o + 12. Let s be h(2). Suppose -4*x + 689 = 3*d, 5*d = -s*x + 1785 - 626. Is 27 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -511 + 518. Solve -2*m + k = -5*j - 3*m, -4*m = 2*j + 10 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 5*x = -667, -580 = -2*l - 4*x - 150. What is the remainder when l is divided by 41?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41 - -44. Suppose -11 = -5*y - n, 6 = -y + 5*y - 2*n. Solve x = -m - y for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*g**4 + 2*g**3*j + g**2*j - 31*j - 2 with respect to g.\nAnswer: 28*g**3 + 6*g**2*j + 2*g*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m**3 - 4*m**2 - 3*m. Suppose -3*k + 0*s = -5*s + 16, 2*s = 4. Determine i(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10820 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 27302307041 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28) - sqrt(28)*3 - (5 + sqrt(63)).\nAnswer: -7*sqrt(7) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22317 and 2249.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4818 divided by 1606?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -83645.\nAnswer: 1\/83645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -518477*c**3 - 972079*c.\nAnswer: -3110862*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/657 (b) -1.5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(105)\/(sqrt(7)*5))\/sqrt(5) + sqrt(36)\/sqrt(75))*5.\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -0.63 (c) 3532.84 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 7:37 PM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(4\/17)\/u*u*u*u)\/u**(-5))\/(u**0\/u**(-16)) assuming u is positive.\nAnswer: u**(-132\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-6))\/((-19)\/741*13).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9279281\/45 + 206192. Let n = -69\/5 - s. What is the third smallest value in -1\/2, -9, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35826 by 6.\nAnswer: -5971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 1:40 AM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 5*a - 95 = 3*u, -53 = 2*u - 3*a. Let x = -25 - u. What is the closest to 1 in -3\/2, 5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sfmmfmmsmmmm. What is prob of sequence sms?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 497.942cm?\nAnswer: 4979420000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 1428?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3004 is divided by 59.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4 + sqrt(21)\/((sqrt(77) + sqrt(77) + -1*sqrt(77))\/sqrt(11)) + sqrt(30)\/sqrt(40) + sqrt(120)\/sqrt(10)).\nAnswer: -14*sqrt(3) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 12 = q, -2197 = 5*q + 3*o - 2229 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*c = -12*c - 80. Solve 0 = 2*x - c, -2*v - v - 3*x = -15 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 217207420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -411753\/22 or -18715?\nAnswer: -411753\/22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 - 14*q + 11. Suppose 6*j - 84 = -0*j. Let p be u(j). What is the greatest common divisor of p and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44850057.\nAnswer: 3, 7, 2135717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1188.06 plus 33731967?\nAnswer: 33733155.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5 or -82\/23?\nAnswer: -82\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 95?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 2*r + 2, f + 13 = -4*r - 5. Let m(b) = 4 + b + 1 - 1 + f. What is the units digit of m(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.773 rounded to one dp?\nAnswer: -5.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -211 + 112?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 10\/7 - (-22)\/14.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 813 + 30*q + 79*q - 813 + 4*q + 13*q.\nAnswer: 126*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10 - 9*v - 22*v + 42*v)*(-1 + 1 + 2*v**2) to the form w*v + p*v**3 + y*v**2 + t and give y.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -78057, -78061, -78065, -78069?\n\"Answer: -4*h - 78053","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 90\/86 - (5 - (4 - -8) - -8)\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 5*n. Let k be 3 - (-3)\/(3 - n). Suppose r + q = 3, 7*q - 3 = k*q. Sort 3, r, -5.\nAnswer: -5, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.2 (b) 3 (c) -3\/2 (d) 42 (e) 5.318\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 4*i - 23, -47 = -2*t + 6*i - 9. Let o(j) = -j**2 + 12*j - 15. Give o(t).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (88\/(-462))\/(2\/(-6)). Which is the second biggest value? (a) 15 (b) -1\/10 (c) 1 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**3 - 3*g**4 + g**3 + (-4 + 6 - 3)*(-1 + 1 - 2*g)*(-g**3 + 5*g**3 + 0*g**3).\nAnswer: 5*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 - 39 + 75 - 427*w**2.\nAnswer: -427*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, s: 1, m: 3, f: 5, h: 7}. Give prob of picking 1 f and 1 m.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-4\/3)\/(r*r*r**(3\/26)*r))\/(r**(-1))**4)**(-3\/7) assuming r is positive.\nAnswer: r**(5\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.13 and -191.17.\nAnswer: -191.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**2\/2 - 8*n + 24 = 0. What is n?\nAnswer: 4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 568195.\nAnswer: 56819.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -22 bigger than -1522\/67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 + 1 + -1 - (-177 + 177). Solve 0 = -f*k - 0*k, v = -5*k for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (8 + -3)) + 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41 - -211\/5. Let s = -2 + 2.2. Suppose -3*j = 5*t + 22, -2*j - t - 2*t = 13. Which is the closest to j? (a) s (b) 2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 4\/5, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 274529553 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -5*x. Let q(w) = -w. Let a(z) = -l(z) + 3*q(z). Let t(g) = 4*g - 6. Let b(s) = 3*a(s) + t(s). Let i(o) = -21*o + 13. Calculate 13*b(k) + 6*i(k).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**2 + 0*i**4 + 4*i**4 + 28*i - 31*i + 2 as z*i + m*i**3 + r + p*i**4 + s*i**2 and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 2*i - 24. Let j(a) = 3*a + 9 + i + 7*a. Let o(g) = -5*g - 6. Calculate -6*j(n) - 13*o(n).\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -5*n - 12, -237*n + 3 = -240*n - 2*x for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4095*u**2 - u**3 - u**3 - 4095*u**2.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*u + 66*u - 35*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j*(j**(2\/53)*j)\/j)*j))\/j**(-1) assuming j is positive.\nAnswer: j**(55\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/361 + (-78)\/38.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -193815 divided by -295\nAnswer: 657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 752100096 a multiple of 1397?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -983*n - 352*n - 3916 = -19936 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2 - 412*l + 3552.\nAnswer: -4*(l - 8)*(l + 111)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -6, 2*n - 3*i = -2*n - 22 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 12:09 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3521384 is divided by 21086.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 5*u - 6, -70 = 4*t - u - 73. What are the prime factors of ((-11452)\/(-14))\/(t\/2)?\nAnswer: 2, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26979*p**2*v**2 + 686*p**2 - 240*p*v**2 - 331*p*v - 10*p wrt v?\nAnswer: -53958*p**2 - 480*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8028763?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4052772 (base 8) to base 14\nAnswer: 1dc226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10793 is divided by 44?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of -k**4\/24 - k**3 - 2*k**2. Let w(a) = -1. Let u(i) = 4*i + 1. Let s be u(2). Let x = -11 + s. What is x*q(g) + 11*w(g)?\nAnswer: 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 179621 and 7162935?\nAnswer: 4381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-4) + 936\/96. Let i be 8\/d + 25\/(875\/1592472). Round i to the nearest one thousand.\nAnswer: 46000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**4 + 46 - 7711294*u - 5*u**3 + 7711294*u to i*u**4 + z + p*u**2 + w*u**3 + x*u and give z.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(5\/2)\/i)\/(i\/(i**(4\/7)\/i)))\/(i*i*i\/((i\/(i**3*i))\/i*i*i*i)*i**13))**0 assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 + -19. Let k(z) = 14278 - 5*z + 4*z - 14275. Determine k(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-3)*-3 - 3. Let h(b) = -4*b**2 + 493*b - 2481. Let p be h(118). Put p, x, -5 in descending order.\nAnswer: x, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -22, -16, -10?\n\"Answer: 6*m - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 143354, 286707, 430060, 573413, 716766?\n\"Answer: 143353*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f + 4. Let k be t(-11). Suppose -3*u = -6 - 3. Let a be -16*((-90)\/4)\/u. Calculate the highest common factor of k and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*k**3*n**3 - 46668*k**3 - 2*k**2*n**3 + 2*k*n**2 - 304*n**3 + 2*n**2 + 5*n wrt k?\nAnswer: -12*k*n**3 - 280008*k - 4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -0.7. Let h = -1.3 - d. Let m = 1.5 + h. What is the closest to 1\/3 in m, 0.2, -0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32\/72 - (-16)\/(-63)*4\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 1 - 9) + (64 - 55)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 + 8*z - 1. Let j be f(6). Is 4\/(-22) - (-1069)\/j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*r**4 + 119*r**3 - 1285*r**2 - 1993986 wrt r.\nAnswer: 24*r**3 + 357*r**2 - 2570*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 8.3. Let x = d - 0.3. Let o = -40 + 40. What is the biggest value in -2\/3, x, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.34*-0.004\nAnswer: -0.00136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 319790, 319764, 319720, 319658, 319578, 319480?\nAnswer: 319364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5cb (base 13) to base 3.\nAnswer: -1101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 763 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 102818?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 450317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15673*k + 5228*k + 5218*k + 167*k**3 + 5227*k.\nAnswer: 167*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10092 - -13.\nAnswer: -10079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**2 + 3485*u + 10500.\nAnswer: -5*(u - 700)*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -3*w**2 - 2. Let c(y) = -y**3 + 8*y**2 + 5. What is 3*c(s) + 8*n(s)?\nAnswer: -3*s**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 4*q - 46 = 2*i, -q = -2*i + 36. Let l = -13 + i. Is 5 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 76892390.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 15*z - 16*z. Let u = 27 + -27.4. What is the nearest to 0 in 6, u, z?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(15) + (sqrt(735) - 2*sqrt(735)))\/(sqrt(5) + sqrt(20)*3) + 3.\nAnswer: -2 - 6*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 190 divide 1135602319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 - 60*y - 260. Determine l(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 257, 183, -17, -403, -1035?\n\"Answer: -10*u**3 - 3*u**2 + 5*u + 265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l - 24. Let n be g(-12). Suppose -d + 5*d - 8 = n. Differentiate -3 - 3*t**2 + 7*t**2 + 3*t**d wrt t.\nAnswer: 14*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 - 7. Let g = -6 + b. Calculate the remainder when 7 is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 70 and 742?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01599 to 4 dps.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -708, -702, -690, -672, -648, -618, -582?\n\"Answer: 3*o**2 - 3*o - 708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002428982 rounded to six decimal places?\nAnswer: 0.002429","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 314362?\nAnswer: 2, 157181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32 + 28.1. Let f = u - 1.1. Suppose 4*p - 12 = -4*c + 7*p, -2*c - p + 6 = 0. What is the second smallest value in 1\/2, f, c?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*w**2 + 45*w**2 + 2*w**3 + 764.\nAnswer: 2*w**3 + 764","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b\/(b\/(b\/b**3)))\/b*b))\/b**(2\/7))**(-1\/7)\/((b*b*b**(-3\/8)*b)\/b*b**(1\/5)*b\/b**(-3\/4)*b**(-4)*b) assuming b is positive.\nAnswer: b**(-1887\/1960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*g - 28 = -2*p + 7*g, 4*p - 4*g = -52 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-28)\/(-35))\/((-4)\/(-10)). Suppose k + 3*m = -4*k + 11, 2*k + x*m - 2 = 0. What are the prime factors of k - (2 - 1) - -20?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of h**6\/60 + 3*h**5\/40 + h**4\/12 - 6*h + 11. Let w(x) be the first derivative of z(x). Factor w(o).\nAnswer: o**2*(o + 1)*(o + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.395 + -0.495. Which is the closest to g? (a) -0.2 (b) -3\/5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 t when two letters picked without replacement from takggt?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*r + 4*r = -8*r + 3*n + 1, 7*n - 31 = 5*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55, 1, -2, -401, -15 in decreasing order.\nAnswer: 55, 1, -2, -15, -401","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/(-9))\/((-2)\/(-12)). Let a be 5\/h - 15\/(-10). What is the common denominator of -73\/2 and a\/10 + 134\/(-35)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1372707 to three decimal places.\nAnswer: -0.137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 435.3 - 435. Let y = 1064 + -1171. Which is smaller: y or z?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-164 - (-206 + 75)) + 86?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11459648*s**2 + 11459651*s**2 - 31 + 5.\nAnswer: 3*s**2 - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 436 + 72 = 0. Does 13 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/182 and -37\/42?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.941043 litres to millilitres.\nAnswer: 9941.043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*y - 15*y = -18. Let h be (-3)\/y + 2\/(-6). Solve k + h = -2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 387 + -343 - ((8 - -4) + 0)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 37*z + 71. List the prime factors of m(14).\nAnswer: 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d + 2. Let s be j(-1). Suppose 0 = 3*l + s*u - 977, 2*u - 3 = -5. List the prime factors of l.\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**4 + 4980*n**3 - 14621*n**2 - 1544094*n + 6091848 = 0. Calculate n.\nAnswer: -18, 4, 17, 4977","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44, -89, -164, -269, -404, -569, -764?\nAnswer: -989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -1398*d + 36229. What is n(26)?\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/1)\/((-15)\/(-30))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -17 - 37. Let b(c) = -c**2 + 29*c + 71. Let t be b(31). Calculate the highest common factor of n and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 - (4 - 2) - -3. Suppose 13 = p*d - 3. What is the remainder when 55 is divided by 1 + d + -1 + 24?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*q - 4134 + 840. Is 13 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.6465 and 447.8117579.\nAnswer: 448.4582579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*j**3\/2 - 531*j**2\/2 + 267*j = 0. What is j?\nAnswer: -178, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1346750453 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.0874 - -0.0874. Let x = 2 - 2.1. What is the closest to 0.4 in x, p, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -173 divided by 5.\nAnswer: -173\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/64, 1\/237, -2\/17, 6.23?\nAnswer: 1\/64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 163137 and 987?\nAnswer: 1141959","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*k - 357*k**2 - 44*k + 14*k - 31*k**2 + 33*k**2 to g*k**2 + o*k + d and give g.\nAnswer: -355","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 62 = 5*v, 20 = -2*h + 2*v + 192. Let b(m) = -m**3 - 5*m**2 - 4*m + 1. Calculate the remainder when h is divided by b(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 + 18 - 10)*(0 + 0 - 2*c) + 0 - 3*c + 0 + 33*c + 13*c - 9*c.\nAnswer: -20*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 10) in base 7?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8*(5\/(-2))\/5. Let u(i) be the first derivative of -i**2\/2 - i + 29. Let m be u(n). Solve -3*d - m*p = -21, 3*p = -4*d + 3*d + 13 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/2)\/((-1)\/(-24)). Let b = m - 1. Suppose -4*k + b = 3. Solve -u + 5*f = k*u, -3*f - 29 = 4*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1666\/88 + 2\/(-11). Let i = m + -383\/20. Let v(s) = s**2 - 6*s + 10. Let x be v(4). What is the nearest to i in x, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*l**2 - l**2 - 4*l**2)*(-l**2 + l**2 - l**2) - 6*l**4 - 6*l + 6*l)*(-13*l - 5*l + l).\nAnswer: 85*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from djpppephpevppd. Give prob of picking 2 d and 1 j.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*i, 5*z - 2*z - 10 = -5*i. Suppose 0 = s + z*s - 66. Suppose a - 4*t = s*a + 17, 0 = -a + 4*t + 11. Which is greater: -1\/12 or a?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 3*f + 3. Let s be p(-3). Calculate the remainder when (114\/(-4))\/(3\/s) is divided by -1*2*15\/(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.8 + -0.3. Suppose 4*q = 3*q - 2*o - 62, -3*o = 4*q + 268. Let w = q - -69. What is the nearest to w in p, 0.4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -4*r + 3*v, -5 = -2*r + v + 5. Let z(t) = -t**2 + 5*t - 1. Let a be z(r). Solve -1 = -2*y - a for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (195\/(-6))\/((-3)\/438). Suppose -t = -12*k - 1349. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*a**2 - 2032*a + 13208.\nAnswer: 12*a - 2032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1553*r + 760*r - 74016 for r.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -1285*b. Let t(x) = -4*x - 395. Let v(i) = i + 79. Let h(l) = t(l) + 5*v(l). Determine g(h(p)).\nAnswer: -1285*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3506.\nAnswer: 2, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 + 2856. List the prime factors of v.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 636057418.\nAnswer: 2, 318028709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1084 a factor of 4200500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7433821*o - 26012817?\nAnswer: 7433821","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1264 - -1267. Let w = -5 + 8. Suppose 4 = w*r - 5. Is r bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2276853 and 234069.\nAnswer: 25045383","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 6\/13 (b) -1\/4 (c) -9 (d) 32.1 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 947395*l**6 + 1796*l**2 - 2*l - 12 wrt l.\nAnswer: 113687400*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24392, -24378, -24360, -24338, -24312?\nAnswer: -24282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -2*t - 15. Let i be (-4 - -3)\/((-5)\/(-2)). Let w = -0.09 + -3.91. Which is the third biggest value? (a) t (b) w (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n**2 - 122*n + 9. Let q(y) = -2*y**2 - 121*y + 7. What is -4*f(b) + 5*q(b)?\nAnswer: -2*b**2 - 117*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-390)\/33 - 1 - -13?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 7 = 17. Let h be ((-9)\/12)\/(f\/(-8)). Let i = -6 + 11. Put i, -5, h in increasing order.\nAnswer: -5, h, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 272?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 51\/5, 1531, -1.1?\nAnswer: 1531","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 b when two letters picked without replacement from briwwwk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/17 (b) -7\/10 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, g: 7, p: 1}. What is prob of sequence pg?\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -a + 5*a. Suppose -3*t + a = -2*t. Solve i = 2*x + t*x - 23, i + 18 = 4*x for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1154 or 202\/15?\nAnswer: 202\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p**4 - p**4 + 6*p**4 + (-162 + 2*p**3 + 162)*(-2*p - 3*p + 6*p).\nAnswer: 3*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 1\/3 (b) -0.02 (c) 16 (d) 4 (e) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**2 - d**3 - 5*d**3 + 0*d**4 + 8*d**4 = 0. What is d?\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/63)\/(44\/(-5940))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*z - 3\/4*z**4 + 0 + 3\/4*z**2 + 3\/2*z**3.\nAnswer: -3*z*(z - 2)*(z - 1)*(z + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a millennium in months?\nAnswer: 62400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -367 + -3.368.\nAnswer: -370.368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-3\/4))**(1\/11)*f**(-5\/4)*f**9*f assuming f is positive.\nAnswer: f**(98\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66 and 1195689.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*x = -5*r - 40*x + 8, 3*r + 2*x - 8 = 0. Let t(i) = -7*i**3 - i**2 + i. Let m be t(1). Let b be m\/133*(r - -1 - -1). Which is bigger: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -3001*r + 1488*r + 1512*r. Let p(u) = -1669*u. Calculate l(p(d)).\nAnswer: 1669*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 66583301.69 rounded to the nearest one million?\nAnswer: 67000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 631213094994 plus -75.3?\nAnswer: 631213094918.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5*(sqrt(2) - (sqrt(10) - sqrt(30)\/sqrt(3))\/sqrt(5))*-5 + 2.\nAnswer: -25*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -3*s. Let t be (-38)\/(-8) - (-9)\/(-12). Solve -t*o + 0*o = s for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 4182399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*g*k**3*v**3 - 64*g*k**3*v**2 + g*k**3 + 2*g*k*v**3 - 438*k*v**3 - 23*k*v**2 wrt v?\nAnswer: 18*g*k**3 + 12*g*k - 2628*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yvrnvvxznvvzznnnxrn. What is prob of sequence zvyz?\nAnswer: 5\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -14\/4101 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173 is divided by 173?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 h when two letters picked without replacement from wnnkhkk?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.398384 micrograms in milligrams?\nAnswer: 0.009398384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119423?\nAnswer: 307, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v + 33. Give t(-8).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11550\/3465 - (-16 - -4)\/(18\/(-24) - 0).\nAnswer: -38\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 + 18*p + 76. Let h be d(-7). Let g be h - 76\/(-68) - 18\/(-136). Let 3\/4*i + 1\/4*i**3 + g + 3\/4*i**2 = 0. What is i?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 399*f - 3963. Give h(10).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5640211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 17819461233 and -13?\nAnswer: 17819461246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -319 divided by 7591\nAnswer: -319\/7591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25 + 15*p - 10*p**3 - 5*p + 12 + 5*p**4 + 8.\nAnswer: 5*(p - 1)**3*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3*o**3 + 6*o**2 - 9*o + 1. Let p be h(-3). Let a be p\/(-4) - 75\/1140. Is 1 greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -76 - -97. Let h = i + -20.9. Which is smaller: -81 or h?\nAnswer: -81","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001650165 rounded to five decimal places?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (18 + -40)) + -41.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*i = -88*i + 4*o - 2132, i - 724 = -3*o. What is the least common multiple of i and 216?\nAnswer: 37800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -43*q + 58. Let m = 116 + -123. Let y be r(m). Let c = 641 - y. Is c a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -15194, -15193, -15192, -15191?\n\"Answer: z - 15195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 7 = 5*y, -3*g - 53*y + 57*y = 18 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*d**4 - 172.\nAnswer: -44*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of v**2\/2 - 7*v - 23. Let d = -11 - -16. What is s(d)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 696672365 by 24023185.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 676945 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 + -18. Suppose x*m - 24 = m. Let t(f) = -9*f - 4. Calculate the remainder when t(-3) is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -171 + 73 + 40*m + 98 + 22*m - 99*m - 125*m.\nAnswer: -162*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4\/9*c**2 - 8\/3 + 20\/9*c = 0 for c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66391137 divided by -6?\nAnswer: -22130379\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -4*l + 623, 5*l + v - 796 = -17. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 15 (c) -2\/11 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + -5?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + 0 - -2)\/(-2). Let l be 21\/9 + (-8)\/(-12). Suppose x = -s - 2*n + 5*n + 12, -2*n = l*s + 8. Solve s*g = -g + 4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + 34*f**2. Let q(i) = 2*i**3 - 68*i**2. What is 5*l(n) + 2*q(n)?\nAnswer: -n**3 + 34*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -344*r - 284 - 511 = -185*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 63449684.96 rounded to the nearest 1000?\nAnswer: 63450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 u when three letters picked without replacement from {z: 4, x: 8, u: 2}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m - 7*m**3 - 77 + 78 - m - 3*m**2. Is w(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 4 + (-7 + 0 + 6)*(1 - 3 + 0) + (2 - 4 + 1)*(-2 + 5 + 4))*(-3*w - 5*w + 4*w).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 19*y - 6. Let x(s) = 57*s - 20. Give -14*c(r) + 4*x(r).\nAnswer: -38*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -767, -1547, -2353, -3197, -4091, -5047, -6077?\nAnswer: -7193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -187\/76822 + 188\/541. Calculate the common denominator of 15\/2 and q.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 70\/(-7) - 200\/(-45). What is the second biggest value in 1\/3, -1, b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.93168198 to 1 dp.\nAnswer: -10.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.8, -18, -20.1, 5 in decreasing order.\nAnswer: 5, 2.8, -18, -20.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -16873, -17021, -17169, -17317, -17465?\n\"Answer: -148*c - 16725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -205.429 rounded to the nearest ten?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.4 * 0.006.\nAnswer: -0.0084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22111 - 2?\nAnswer: -22120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -74 - -74.074. Let f = 51.926 + w. Let t = f - 52.00000022. What is t rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 283.93 + 10.07. Let y = 294.08 - h. What is the second smallest value in 0.1, y, 11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -6696, 4, 2\/11, 3\/59.\nAnswer: -6696, 3\/59, 2\/11, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*s**2 + 66715824*s - 66715824*s.\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from avnoaacac. Give prob of sequence cv.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-4\/5)\/u)\/u*u**(-1\/5))**(3\/22)*(u**(-1\/2)*u*u)**(22\/5)*u**(-4)*u*u\/u**4 assuming u is positive.\nAnswer: u**(21\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.08 - -0.03. Let q = l + 0.99. Let z = q + -0.1. What is the third smallest value in z, 0.2, -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13420373?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41 + 45. Suppose 4*z + 0*z + 12 = 0, 0 = 5*t - m*z - 187. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 + 1 + (0 + 2 - 3)*(0 - 6 - 1) + 2 - 1 + 1 + 4 + 2 - 4 + (-4 + 6 - 3)*(-1 - 1 + 1) + 1 - 2 + 3)*(-o + 2*o - 2*o) in the form z*o + r and give z.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, t: 5, y: 7}. What is prob of picking 2 t, 1 y, and 1 v?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -4*o**2 + 16*o + 49. Let q(y) = -3*y**2 + 16*y + 47. Let r(s) = -4*p(s) + 5*q(s). Is r(-20) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 AM and 1:09 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.9258 - -0.89. Round a to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 123.1837kg to nanograms.\nAnswer: 123183700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*f = 16*f - 81990. What are the prime factors of f?\nAnswer: 2, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 + 37066?\nAnswer: 37010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 + 35 + 41 + 10 + (-1 - -1) - -1?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*w - 8 = -33*w. Put 22, -3, w in ascending order.\nAnswer: -3, w, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n + 14. Suppose -o + 4*o = -24. Let w(u) = -u - 5. Give o*w(g) - 3*y(g).\nAnswer: -g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -6. Suppose 4*y + 60 = g*y. Does 6 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 7*n - 3*n = 4, 0 = -5*a + 2*n - 2. Sort 4, a, 2 in ascending order.\nAnswer: a, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i + 4. Let d be r(-2). What is the common denominator of (-534)\/144 + (-1)\/(-3) and 2 - 8\/d - (-448)\/(-21)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 6*h**2 + 2*h + 2. What is x(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 6*u**2 + 4*u - 4. Suppose 2*y - 150 = -5*j + 192, 0 = -3*j - 5*y + 190. Calculate the smallest common multiple of w(6) and 680\/j - 2\/(-7).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 854796?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -20*z**3 - 148*z**2 + 836*z - 8. What is u(6)?\nAnswer: -4640","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63716132?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -0.03, -0.1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -419292, -419285, -419278, -419271, -419264, -419257?\n\"Answer: 7*g - 419299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 5 (c) -5 (d) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 11:28 AM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1859 (base 12) in base 9?\nAnswer: 4036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-2)*4\/(-12)*1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((32384\/(-115))\/(-16))\/(88\/110).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -2*q + 13, -5*q = 3*j - 4*q + 16 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122 = -6*l - 20. Suppose -f = -3*f - 5*a + 40, -f + 3*a + 9 = 0. Calculate the remainder when l is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 84, 139, 180, 201, 196, 159, 84, -35?\n\"Answer: -g**3 - g**2 + 65*g + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - -60?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-2) - (-3 - 1). Suppose d - 11 = -f. Let l(x) = -x**2 + 9*x - 1. Is l(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 916 and 916 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 196720?\nAnswer: 2, 5, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4588 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10913 and 0.4.\nAnswer: -4365.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 z, and 1 e when three letters picked without replacement from {z: 3, d: 1, e: 4, p: 2, a: 2}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -6*z - 2. Suppose 7 = 4*f + 5*t - 9, -f = 3*t - 4. What is the remainder when x(-4) is divided by (-98)\/(-8) - f\/16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 835989819?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - (0 - -1 - 39). Suppose -4*w = -11*q + 6*q - 37, w - 4 = -4*q. Suppose n + 5*a = f, -3*a = -w*a + 5. What is the highest common factor of 132 and n?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 297*o - 295*o - 40 = 0, 38 = -4*j + 2*o for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1095 - -5473\/5. Which is the nearest to n? (a) -30 (b) -4 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8753598 take away -4?\nAnswer: 8753602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 963\/5418 - 39\/273. Put -2\/7, w, 7.9 in decreasing order.\nAnswer: 7.9, w, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b\/(b**(-1)*b*b)))\/b**3)\/((b**1*b)\/(b*b\/b**(-1\/3))))\/((b*b**(-3)*b*b\/(b**(1\/6)*b))\/((b*b**6)\/(b\/((b**(-1\/6)*b)\/b)))) assuming b is positive.\nAnswer: b**(16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z - 19. Let g be i(21). Let a be (g\/24)\/((-28)\/(-8) + -4). What is the third smallest value in 0.2, -0.01, a?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 + 7*g - 9. Let p be a(3). Solve -w - 3*f - 9 = 0, p*w - 8 = 5*f + 7 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 58*q + 296. What is j(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j**3 - 471*j**2 + 471*j**2.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -263 - -254. Let x(w) = w**3 - 2*w - 12 + 10*w**2 - 3 - w**2. What is the remainder when 8 is divided by x(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 508?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**12\/z**(-6)*(z*z*(z\/(z**(-2)*z))\/z)**31 assuming z is positive.\nAnswer: z**111","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*z**5 + 78*z**2 + 2 wrt z.\nAnswer: -360*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9*v**2 + 60*v - 8085?\nAnswer: -18*v + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 105673935 and 2427.4?\nAnswer: 105671507.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/1260 and 97\/5593140.\nAnswer: 5593140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-3*sqrt(204))\/sqrt(12).\nAnswer: 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 123323 - -231?\nAnswer: 123554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 - k - 4. Suppose -5*l = -7*l + 152. Let p = 73 - l. Determine o(p).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.76194 centuries in years?\nAnswer: 9476.194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of -r**6\/1260 - r**5\/420 - r**3\/2 + 3*r. Let f(i) be the second derivative of d(i). Factor f(q).\nAnswer: -2*q*(q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 10:44 AM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z + 0*z + 100*z**2.\nAnswer: 100*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 10877, 10673, 10333, 9857, 9245?\n\"Answer: -68*h**2 + 10945","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3881? (a) 1\/10 (b) 144 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8633, 34590, 77851, 138416, 216285?\nAnswer: 311458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -580739.98 to the nearest one thousand.\nAnswer: -581000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.16 (b) 0 (c) -1\/7 (d) 0.5 (e) 6 (f) -740\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + p - 1. Let m(w) = 3*w**2 + 2*w + 9. Let a(h) = -m(h) - 4*t(h). Let q be a(5). List the prime factors of (q\/4 - -2)*-14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 2*b = 18, -5*v - b + 27 = -0*v. Calculate the greatest common divisor of 12 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**3 + 2*h**3 + 0*h**3)*(35*h - 3*h**2 - h**2 - 39*h).\nAnswer: -12*h**5 - 12*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of y**5\/30 - y**4\/4 - y**2. Let g(d) = 7*d + 6 - 2*d**2 - 3 - 3. Let j(z) = -3*c(z) - 2*g(z). Factor j(p).\nAnswer: -2*p*(p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k**2 - 3*k + 2 - k**2 - k. Let n be q(4). Suppose -i + 6 = n*i. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -58713 or -293568\/5?\nAnswer: -293568\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 + -2)\/(4\/10). Suppose s = -2*k + 63. Suppose 62 = 4*i + w, -3*i - w + 42 = 2*w. What is the remainder when k is divided by i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5*(-5)\/50*6. Let l(c) = 17*c - z*c**2 + 19*c - 36*c. Let f(a) = -7*a**2. Determine l(f(r)).\nAnswer: -147*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/25*3)\/((-2)\/(-10))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 138932.7\nAnswer: -138932.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35760\/7 - 178443\/35. Let 48\/5*d + 3\/5*d**2 - m = 0. What is d?\nAnswer: -17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-4*(-1)\/(44\/55).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**4 + 94*b**3 - 1146*b**2 + 874*b + 2116 = 0.\nAnswer: -1, 2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h - 9. Let w be d(12). Let o be 2*5597\/2 + w. Round o to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 64 - 27. Suppose p + 2*p - 4*w = d, -w = 5*p - 54. Let c(m) = -m**2 + 44*m + 201. What is the smallest common multiple of p and c(47)?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 73*m - 29742 + 6090. What is the greatest common divisor of 144 and m?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 42341103033 - -2?\nAnswer: 42341103035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 352 and 583.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8628 is divided by 1687.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 31052780620 to the nearest one million.\nAnswer: 31053000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*r**2 + 1256*r + 4*r**3 - 1262*r - 3*r**3 - 2*r**4 to the form t*r**2 + m*r**3 + j + o*r + h*r**4 and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -j*s**4 + 2515207*j*s**3 - 2*j*s**2 + j - 74*s**2 + 2*s + 488 wrt s.\nAnswer: -24*j*s + 15091242*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 651 or 1\/31315?\nAnswer: 651","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2039798 >= 2039798?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - p)*(13 + 9 + 44) + 2*p - p - 4*p + 3 + 4*p - 3.\nAnswer: -65*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -11 (b) 4 (c) 3 (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of -o**5\/60 - 13*o**4\/24 - 5*o**3\/6 + 2*o**2. Let b be -10*(-3 + 2)\/((-3)\/3). What is the remainder when 73 is divided by p(b)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 5, -6*c + 2*q = -3*c + 178. Let f = -16 + 75. Let g = c + f. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-100)\/6 - (-1)\/3*2. Let q(p) = -4*p - 64. Let r be q(a). Determine v so that 1\/6*v**3 - 1\/3*v + 1\/6*v**2 + r = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -72*x**3 - 4*x**2 - 14*x - 47. Is l(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17101 - -17109. Solve 0 = -2*v + z, -40 = -4*f - 5*v - 8 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3 and -330.4538434.\nAnswer: -333.4538434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 14*s**2 - 21*s + 63. What are the prime factors of m(-16)?\nAnswer: 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - ((68 - 49 - (-5 - 40)) + -14)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 3, 4.\nAnswer: -4, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4678347 to the nearest integer?\nAnswer: 2163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 > -32\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 - 16*a. Let j be p(16). Suppose g - 6*g = j. Suppose 4*w - 3*l = -1, w + 11 = 5*l - 2. Solve g*i = w*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*j**3*o**2 + 2*j**3*o - 5664*j**2*o - 4338*j*o**2 wrt j?\nAnswer: -12*j*o**2 + 12*j*o - 11328*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2149470 and 11313?\nAnswer: 2149470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0.01 (b) -2\/7 (c) -0.5 (d) 7 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 12906040 divided by 1290604\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 + -17. Suppose 2*o + 3*s + 11 = -0*o, -5*o - 8 = s. Let f = d + o. Calculate the remainder when 23 is divided by f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 - 409 = -2*s. Round s to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**4 + 26*m**2 - 26*m**2)*(-28*m - 8*m + 13*m).\nAnswer: -46*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -5*i - 25*i**2 - 4 + i + 23*i**2. Let r be s(-3). What is the hundreds digit of (r\/5)\/((-8)\/492)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*m**5 - m**4 - 13*m + 13*m)*(0 + 4 + 0).\nAnswer: 28*m**5 - 4*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (((-238)\/(-6))\/((-16)\/24))\/(-35*(-24)\/(-480))\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.1 + -1.2. What is the nearest to -0.1 in -2\/7, c, 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 672\nAnswer: -5\/672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-45 + (2 - -2))*-1. Let b = -72 + 35. Let a = n + b. Solve -a = -p + 3*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d + 622 = 592 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, u: 1, l: 1, z: 1, s: 1}. What is prob of sequence zs?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, 2, 4, 791, -0.4 in descending order.\nAnswer: 791, 4, 2, -0.4, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 16*i**2. Let m(v) be the first derivative of -2*v**3 - 130. Calculate k(m(j)).\nAnswer: 576*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2133415 to the nearest integer?\nAnswer: 1461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132505.\nAnswer: 5, 26501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 477, 962, 1447, 1932?\nAnswer: 2417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/16149 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a - 3. Let z be m(-3). Let g(b) = b**2 - 3*b - 2. Let s be g(z). Calculate the common denominator of 67\/10 and s\/(-2) - (-801)\/54.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28*3\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 316 - 295 - (35 - -1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -115318, 19, -14, -3, -2 in decreasing order.\nAnswer: 19, -2, -3, -14, -115318","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -33124, -132645, -298560, -530869?\n\"Answer: -33197*m**2 + 70*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 109 - 103)*(-h + 0*h + 6*h) - 5 + 5 + h.\nAnswer: -989*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 226*t**3 - 175*t**2 - 216*t - 39. Calculate m(-1).\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - -4)*(-371)\/106. What is the nearest to q in 9, 0, -2\/5, 1\/7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -115 + 214. Let t = 260 + -163. Let c = t - n. What is the second biggest value in -7\/8, 3, c?\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4420)\/(-104))\/((-10)\/(-4)). Solve -f = -5*z + 23, 3*f - 14 = -5*z + d for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q**2 + 2*q - 3. Let n(p) = 11*p**2 - 12*p + 20. Let m(z) = 3*z**2 - 3*z + 5. Let l(h) = -9*m(h) + 2*n(h). Give -5*k(d) + 3*l(d).\nAnswer: -5*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 636698.\nAnswer: 2, 318349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 - 15. Let d = -13 - v. Suppose 0 = 5*l - 0*u - 2*u - 368, -2*u = 3*l - 208. What is the greatest common factor of d and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 392\/13*j + 19208\/13 + 2\/13*j**2.\nAnswer: 2*(j + 98)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -208*w - 2952 = 161*w for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 - 8)\/(-1) - (-21)\/(-6). Let k(x) be the first derivative of 10 + 1\/2*x**2 + v*x**3 + 1\/8*x**4 + 0*x. Factor k(z).\nAnswer: z*(z + 1)*(z + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30354090 and 7098?\nAnswer: 212478630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 5*n**2 + 3)*(-1 + 5 - 2)*(-3 - 5*n + 3).\nAnswer: 50*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*w - 7 = 0, -1 + 3 = 2*z + 2*w. Which is the nearest to -0.1? (a) -0.1 (b) z (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 2*q**2 + 44*q - 23. Calculate r(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 119, 117, 115, 113, 111, 109?\n\"Answer: -2*u + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 + -3226.69559741\nAnswer: -3227.09559741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 167, 348, 541, 746?\n\"Answer: 6*i**2 + 163*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2802*u + 1399*u - 46*u**3 + 589*u**3 + 1403*u.\nAnswer: 543*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fffz when four letters picked without replacement from {f: 6, z: 2, v: 4}.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of -69*p**6\/5 - 269*p**4\/12 - 188*p. What is the third derivative of o(m) wrt m?\nAnswer: -9936*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -1.8460854, 0.3?\nAnswer: -1.8460854","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -5 - (14\/49 - (-3040)\/(-7)) is divided by 32?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 33728843 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -3*h**2 - 33*h - 77. Calculate the smallest common multiple of 6 and a(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 + -13. Let c = p + 47. What is the greatest common factor of 12 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2235142421 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -2)*-6 - (3 + -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5481 and 756?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -991 - -991.503. Let t = -0.47 + a. Round t to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 2*y + 508 = 2*v, 0 = -2*y - 2. List the prime factors of v.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-1) + -3)\/(-1). Let x be (1 + -25)*y\/(-6). Let n(q) = -q**2 + 10*q - 12. Let w be n(x). Solve -5*p - 9 = -4*k - 36, 9 = w*p + k for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 0*u - 8*u + 4*u. Let p(h) = 33*h**2. Give q(p(v)).\nAnswer: -132*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -358*m = -809 + 5821 for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 divided by -138?\nAnswer: 34\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 divided by 314.\nAnswer: 9\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4101404001 (base 5) to base 14\nAnswer: 1143ca3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3 - (9 - 6))\/3)\/(6\/(-1153599)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - (2 - (4 - 3))) + 140 + -138?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14880 is divided by 7308.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1275044 divided by 6?\nAnswer: -637522\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1766664 is divided by 4530.\nAnswer: 4494","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -14*y - 11. Let h(g) = -9*g - 7. Let c(v) = v**2 + v - 5. Let o be c(0). What is o*x(j) + 8*h(j)?\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s. Let z(f) = -2*f**2 + 35*f. Calculate z(h(r)).\nAnswer: -8*r**2 - 70*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 441282897 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 4*r**2 - 2*r - 228. What is l(-9)?\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 7*p + 680. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -137 + 868*(-37)\/(-259).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 8*n - 6*n - 2*n + n + 16. Let w be f(-8). Suppose -w = -6*m + 2452. Calculate the highest common divisor of 41 and m.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/231)\/((-1)\/(-3)*1)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-96 - 1 - 107)*(6 + 40*v - 39*v - 3).\nAnswer: -204*v - 612","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38329*d**3 - 12799*d**3 - 12772*d**3 - 12792*d**3.\nAnswer: -34*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((t**3 + 4*t**3 - 6*t**3)*(-3 + 1 + 0) + 0*t**3 + t**3 - 2*t**3)*(77 + 10 - 7)*(-2 + 0 + 5)*(6*t + 10 - 10).\nAnswer: 1440*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -351673 + 0.207?\nAnswer: -351672.793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 739 = 3*r, 2*s = 2*r - 204 - 290. Suppose 963 = 2*d - r. Suppose d = y - 25. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/(-4))\/((-69)\/92).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of -r**6\/12 - 9*r**5\/5 - 93*r**4\/8 - 68*r**3\/3 - 15*r**2 - 745. Determine w so that v(w) = 0.\nAnswer: -10, -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -286437367\/1302 - -219998. Find the common denominator of n and -41\/4.\nAnswer: 2604","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*v**3 - v**4 + 4 - 57*v**3 + 18*v**3 - 24*v**3 - 59*v**3 to the form l + u*v + k*v**2 + x*v**4 + y*v**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s*((s*s\/s**(-1\/5))\/s)\/s)\/s*s*s)**(-1))**(-15) assuming s is positive.\nAnswer: s**48","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-84)\/35 - ((-2)\/2 - 1)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j + 426 = -10*j. List the prime factors of j.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-21087)\/(-18))\/(-213))\/((-33)\/3).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 2:49 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4796 - -4807 - (-1 + (22 - -1)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -241*0.1.\nAnswer: -24.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, g: 1, a: 1, j: 3, d: 1, b: 3}. What is prob of picking 3 b?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvv when three letters picked without replacement from bbvvxbvbvbbbbvbbbv?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**5\/15 + 68*x**4\/15 - 506*x**3\/15 + 168*x**2\/5 + 936*x\/5 + 576\/5 = 0. Calculate x.\nAnswer: -1, 6, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 497459 and 12346384?\nAnswer: 3917","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 5*s**2 - s + 5. Let h(a) = 4*a**3 + a**2 + a - 1. Suppose 4*v = v + 3. Let p be h(v). Let c be l(p). Is 0 > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34349381491 - 1.2\nAnswer: -34349381492.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g - 3*g + 6*g)*(3 + 3 + 0)*(-2 - 1 + 1).\nAnswer: -36*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 10:29 PM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1764) + sqrt(1764) + sqrt(1764)*1 + sqrt(1764))\/((-2*sqrt(77))\/sqrt(11) + sqrt(7) - sqrt(7)) + -3 + -5)**2.\nAnswer: 192*sqrt(7) + 1072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 942?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.2027416m?\nAnswer: 202.7416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3218.\nAnswer: 2, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c**2 - 286*c + 228*c - 196*c to the form a + k*c + q*c**2 and give k.\nAnswer: -254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of 29*d**8\/1680 - d**5\/20 + d**3\/3 + 31. Let k(p) be the third derivative of c(p). What is the second derivative of k(o) wrt o?\nAnswer: 348*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -477, -896, -1253, -1548?\n\"Answer: 31*q**2 - 512*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 1 - 6. Suppose 2 = s + 7. Let v = b + s. Solve 2*u - 4 = 3*z, v*z + 2*z = -5*u + 10 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(10\/4)*(-5)\/7. Let i(s) = -s**3 + 4*s**2 + 6*s - 7. Let g be i(5). Sort 6, b, g in decreasing order.\nAnswer: 6, b, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -346*g**3 + 1012*g**3 - 342*g**3 - 637*g**3.\nAnswer: -313*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 3)*(-d - 4*d + d)*((-d + 0*d - d)*(-d**3 + 3*d**3 + 0*d**3) + 160*d - 7*d**4 - 160*d).\nAnswer: -176*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -991.05 + 991. Which is the fourth smallest value? (a) -4 (b) 7\/3 (c) g (d) 4\/7 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 331493 is divided by 500?\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(468)*2)**2 - sqrt(468)) + -1 + sqrt(468) + -2 + -4)*1*4.\nAnswer: 7460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -473, -1133, -2169, -3587, -5393, -7593, -10193, -13199?\nAnswer: -16617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/20311 != 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 100783162721 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3213 and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000438356 to six dps.\nAnswer: 0.000438","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*a - 10*a + 9*a - 8*a - 17*a + 33*a.\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y + 240 = 12*y. Suppose 330 + y = 2*m. Suppose -147 = -3*j - t, 5*j - 3*t = 2*t + m. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 23 (b) 17 (c) 3\/211\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1478.83 grams to kilograms.\nAnswer: 1.47883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 + 0.8. Let a = 0.4 - 2.4. What is the third biggest value in a, 3, i?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16493849 to the nearest integer?\nAnswer: 4061","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 9697 (base 10) to base 3\nAnswer: 111022011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 372226.\nAnswer: 2, 186113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.15264439 rounded to 4 decimal places?\nAnswer: 1.1526","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 2*b = -4*p - 3, 0 = -4*p - b + 17. Suppose -q - p = -2*q. What is the biggest value in 4, -2\/13, q, 2\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-15)\/((-300)\/8) - (-4)\/(-10). Suppose 4*j + q*j = 332. Let y(a) = 4*a**2 - 3*a - 1. Calculate the remainder when j is divided by y(-2).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 265608 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -29, -38, -49, -62, -77?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 14) to base 7\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-6) + 17\/22. Let n be (3\/55)\/(1\/38). Let j = n - g. What is the closest to 1 in j, -0.2, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1893804 and 18.\nAnswer: 5681412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 104922098*s**2 + 6663560*s + 105800.\nAnswer: 2*(7243*s + 230)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 304184451 to the power of 1\/2, to the nearest integer?\nAnswer: 17441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -155\/228 and (-669630)\/103929 - 26\/(-4)?\nAnswer: 78204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 180 and 19312.\nAnswer: 869040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand l - l - 2*l**3 + (-2*l**3 - 2*l**2 + 2*l**2)*(4 - 2 - 1) - 1 - l**3 + 1 - 9*l**3 + 8*l**3 - 18*l**3.\nAnswer: -24*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + n = -0*u - 348, -u + 116 = -3*n. Find the common denominator of 83\/14 and (-39)\/156*(-190)\/u.\nAnswer: 1624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -707 (base 13) in base 11?\nAnswer: -992","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42231 (base 6) to base 9.\nAnswer: -7741","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, x: 1, g: 2}. Give prob of sequence vx.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 + 8*a + 14. Let u be y(-4). Let h = u - -37. Suppose -z - 5 = 0, 4*t - 227 - 964 = h*z. What is the greatest common divisor of 42 and t?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 41*x - 11. Let y be i(3). Calculate the greatest common divisor of y and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/12 and (-938)\/252*-1*2?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1227240 divided by -45\nAnswer: 27272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*i**3 + 6*i**3 + 159*i**3.\nAnswer: 157*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 18\/7, 2, -12?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**2 + 0*j**2 - 3*j**2 + (-3 - 2 + 4)*(-3*j**2 + 3*j**2 + 2*j**2) - 3*j**2 + 4*j**2 - 3*j**2 - j - j**2 + j + 1 + 242*j - 10*j**2 - 242*j.\nAnswer: -17*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/5 + 20116*d\/5 + 13049234\/5.\nAnswer: 2*(d + 697)*(d + 9361)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -357 in 2, 157, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 152911964?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 160*((-1356)\/(-60) + -17 - 5\/1). Solve -156 = -h*t + 70*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/6 + 130\/6. Solve 4*q - 6 + k = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3034049 + 1517024 - 185*d + 1517025.\nAnswer: -185*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4391043904?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -98 + 101. Solve 3*d = -k*m + 5*d - 7, -40 = 4*m + 5*d for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 25, 36, 55, 82, 117, 160, 211?\n\"Answer: 4*z**2 - z + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 296696?\nAnswer: 2, 37087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/10*(1 - -4). Suppose 4*s - 38 = -4*j - o, -5*s + j + 33 = 0. Factor -4*x - s*x**3 + 5*x**3 + 6*x.\nAnswer: -2*x*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3134848, -6269992, -9405136?\nAnswer: -12540280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - 190*f**2 - 410*f - 32696. What is j(193)?\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2825 - 3095.4. Let l = m - -262. Round l to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and 7608.\nAnswer: 7608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132*t = -13*t - 78*t - 471422. Is t equal to -2116?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(128\/(-24)))\/((-408)\/(-160)).\nAnswer: -5\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 0*g - 5. Let h(q) = -q**2 + 27*q - 151. Let y be h(7). What is the tens digit of ((-54)\/g)\/(y\/55)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 442 and 312?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -156 by -78.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 18\/(-8)*-1*20. Suppose -2880 = -579*p - 317*p + 416*p. What is the greatest common divisor of p and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17 - 71) + 100 - (3 + 13 - 2).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*t + 3*t - 5*t)*(4 - 8 + 7)*(10*t + 5*t + 67*t) to o + j*t**2 + y*t and give j.\nAnswer: -492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -110230121 (base 4) in base 2?\nAnswer: -10100101100011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 3*r - 10. Suppose -4*y + 4 = 0, -2*g - y + 6*y = 3. Give d(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-1 + (sqrt(99) - (sqrt(99) - (sqrt(99) + -3 - sqrt(99)))) - (sqrt(99) - (sqrt(99) - (4 + -1 + sqrt(99) + sqrt(99)))))**2.\nAnswer: 84*sqrt(11) + 447","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -735687303 divided by -245229101.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 13, 737, 8, 2, -3, 5 in descending order.\nAnswer: 737, 13, 8, 5, 4, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-28 + 13)*2\/(-6). Solve -1 - 18 = b*c + o, 0 = 4*c + 4*o + 28 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b + 2. Let u be (-4 - -1 - -5)\/2 + -5. Let m(v) = -128*v + 17. Let f(g) = u*o(g) + m(g). What is the derivative of f(x) wrt x?\nAnswer: -124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 + 8*s**2 + 8*s + 13. Let c be q(-6). Let t = -37 + c. Suppose 3*b - 4*g - 245 = t, 0 = -3*b + b - 4*g + 190. What are the prime factors of b?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -1526\nAnswer: 5\/1526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 169675932 to the power of 1\/2, to the nearest integer?\nAnswer: 13026","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/s**(2\/13))*s*(s*s**(1\/9)*s)\/s*s)**48\/(s**(3\/11)*s**(-1\/5))**(-27) assuming s is positive.\nAnswer: s**(340372\/2145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 13*f - 11*f + f**2 - 24*f + 23. Is z(22) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 57844, 57741, 57638, 57535, 57432, 57329?\n\"Answer: -103*f + 57947","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -11. Let c(q) = -q**3 - 4*q**2 - 3*q - 2. Let r be c(p). Suppose -8*j = -4*j, 2*h + 2*j + 6 = 0. Sort h, -4, r in descending order.\nAnswer: r, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8037 and 2188602.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1.1914 (b) -2 (c) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and (-30)\/(-3) + 4 + -3?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006 less than -5.9?\nAnswer: -5.906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 6. Let j = g + -4. Suppose 5*m + 4*r - 213 = r, -m + 40 = -j*r. Calculate the highest common divisor of m and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 - 2*w**2 - 6*w**2 + 2*w**2. Let x(i) = -28*i**2 + 280*i + 10. Let k(l) = 9*l**2 - 84*l - 3. Let p(n) = -20*k(n) - 6*x(n). Determine d(p(t)).\nAnswer: -1008*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 17 - ((1 - 2) + 12 + -22 + -6)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = r - 261. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16638 - -16635. What is the fourth biggest value in 4\/5, 1, 1\/5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9625871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, h: 2, u: 7, v: 3, q: 1, n: 3}. What is prob of sequence vvhn?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41\/164 + 774\/8 is divided by 29.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -13\/27, -2, 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -1882, 39, -0.3, 2\/7 in decreasing order.\nAnswer: 39, 0.4, 2\/7, -0.3, -1882","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -579334*150\nAnswer: -86900100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 6, i: 1, r: 1, p: 1, h: 1, u: 3}. Give prob of sequence rghi.\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a - 2*a**4 + a + 2*a**3 - 2*a - 3*a**4 to the form o*a**3 + l + d*a**2 + q*a + z*a**4 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1233 (base 5) to base 7.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -312769 divided by -1\nAnswer: 312769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9116558*t**4 + 16*t**2 - 105447572 with respect to t.\nAnswer: 36466232*t**3 + 32*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -4*c**2\/3 + 1216*c\/3 - 13780 = 0.\nAnswer: 39, 265","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/8, -2139, 0.04, -13, 3\/8?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 221 + 290. Is 4 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -3*a - 9*a - a**2 + 12*a. Let n(x) = 10*x**2. Calculate n(c(s)).\nAnswer: 10*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y + 0*y + 2*y)*(3 + 3 - 4) + 4*y + 4*y - 6*y - 2*y + 2*y - y - 2*y - 2 + 2 + 0 + 1 + 4*y - 6*y.\nAnswer: -7*y + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ajyjjaajgjsaaja. What is prob of picking 3 a?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -563*((-24)\/(-4) - 7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154.019 + -9824?\nAnswer: -9669.981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2502.\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 662 is divided by 84?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1000, -3331, -7040, -12127, -18592, -26435?\n\"Answer: -689*h**2 - 264*h - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3492, 6980, 10468, 13956, 17444?\nAnswer: 20932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 4:27 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.0075 greater than 2\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*4\/64*(-28)\/(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/4, -1, -613647?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 17034 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 92, -140, -1022, -2878, -6032?\n\"Answer: -54*l**3 - l**2 + 149*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*h**2*u**3*z + 2*h**2*u - 34*h*u**3 + 5*h*u**2*z + 3*h*z**2 + 2*u**2 wrt z.\nAnswer: 4*h**2*u**3 + 5*h*u**2 + 6*h*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 58688 < 58780?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -3*k**2. Let o(y) be the first derivative of 2*y**3\/3 - 10*y**2 - 1251. What is o(f(j))?\nAnswer: 18*j**4 + 60*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 14 = -4. Let m(c) = -c**2 + 5*c + 5. Let p(g) = g**2 - 6*g - 6. Let j(z) = 4*m(z) + 3*p(z). Let u(b) = 2*b**2 - 5*b - 4. Give y*j(v) - 2*u(v).\nAnswer: v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 + 1.1. Let y = 2 + -2.16. Let l = -0.04 + y. What is the biggest value in s, l, -2\/11?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 0*m = m - 6, m - 8 = 4*z. Let i = 121 - 75. Let k = i - 45.8. Sort 0.1, z, 4, k in increasing order.\nAnswer: z, 0.1, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (7 + 1 + -2)) + 0 + -1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 + 5*l + 2. Let a be p(-1). Is ((-2084)\/16)\/(1\/a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05625365 times -4.4?\nAnswer: 0.24751606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 20 = 2*s, 4*o = -s - 48. Which is smaller: o or -12?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 4:52 AM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10231*b**2 - 25717 + 51437 - 25720 to l + k*b + n*b**2 and give n.\nAnswer: 10231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18 by 32.\nAnswer: -9\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0027759 to 4 decimal places.\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 + 3 + 4 + 2757. Suppose 0 = 2*x - 8*x + h. List the prime factors of x.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - 5*h**2 + 10*h - 9. Let j be x(4). Suppose 0 = -0*b - 3*b + j. Suppose b*m - 737 = -172. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2 + 961*h**6 - 6329*h**5 + 30*h**2 + 3170*h**5 + 3161*h**5 wrt h?\nAnswer: 115320*h**3 + 120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + 5*l**2 - 2*l - 4. Let v be d(4). Suppose -v*j + 1492 - 24 = 0. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 216 a factor of 484036?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssstfsss. What is prob of sequence tttf?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 17\nAnswer: 7\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-15) - (-81)\/90.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -15, -35, -69, -117, -179, -255, -345?\n\"Answer: -7*j**2 + j - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 - -28. Suppose -f + 3*y = -a, f + 3*y + y + 13 = 0. Let v = -4\/27 + -19\/54. Which is bigger: f or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**2 + 3*f**2 + f**2 + (-2*f + 0*f + 7*f)*(1 - 1 - f)*(3 - 1 + 7))*(2*f + f - 5*f).\nAnswer: 86*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 29910 and 117174.\nAnswer: 584112390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 974429 + a?\nAnswer: 974438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -313*v + 12 = -155*v - 154*v. Solve -2*n + 2*m - 2 = 0, v*m + 4 = 4*m for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kyttslt. Give prob of sequence sy.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 4*a = -61, 17*a + 51 = 4*d + 18*a. Differentiate 72 - 5*j + d*j + 6*j + 246 - j wrt j.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36 - -45. Let r = x - 45. Let v = -12 - -24. Calculate the greatest common factor of r and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i**2 + 35*i - 17. Determine t(18).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - -2. Suppose 3*w - 14 = 2*s, 0*w + 2*w - l*s = 24. Factor -6*x**3 - x + 4*x**3 + 3*x - 2*x**4 + 0*x**2 + w*x**2.\nAnswer: -2*x*(x - 1)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(2299) + 5)**2 - ((sqrt(2299) + sqrt(2299) + 1)**2 + sqrt(2299))*-5)*-5.\nAnswer: -276030 - 275*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = -2*h + 3*s + 13, -30 = h - s. Put 5, -2, -11, h in descending order.\nAnswer: 5, -2, -11, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -224*h**2. Let w(o) = o. Determine w(y(s)).\nAnswer: -224*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/90 and -143\/108?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 16419258763 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**2. Let g(v) = -3*v + 10 + 5*v - 10. Give q(g(j)).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -1810*q**2 + 110*q - 55. Let t(n) = 67*n**2 - 4*n + 2. Determine -4*s(w) - 110*t(w).\nAnswer: -130*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1719*y**2 + 62*y - 1025162 wrt y?\nAnswer: 3438*y + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t\/t**(4\/7)))\/t*t*t*t\/(t\/(t\/(t\/t**(-8)))))\/(t**(-13)\/(t\/(t\/(t**(-3\/8)*t)))))**(-3\/7) assuming t is positive.\nAnswer: t**(-1209\/392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 1 - 13 = 0. Solve 2*t + q*t + 6 = -2*z, 0 = -3*z + 3*t + 12 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + 3*o**2 + 9*o + 8. Suppose 4*n - 9 - 11 = 0, -5*r - 3*n = 0. Let d(j) = 7*j**2 + 4. Calculate the remainder when d(3) is divided by a(r).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*y**4\/7 - 335*y**3\/7 + 202*y**2\/7 + 160*y\/7 - 96\/7 = 0. Calculate y.\nAnswer: -2\/3, 12\/23, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5*g - 20 = 9, 2*o - 3*g = 44. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i. Let u(p) = 7*p - 15 + 0*p - 2*p - 2*p. Determine u(m(w)).\nAnswer: -6*w - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 1 = o. Suppose 2*m + o*m = 70. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 b when four letters picked without replacement from {s: 4, q: 2, b: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3665 - 1713 = -488*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 112142 and 60818.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1117 - -3.19765353?\nAnswer: -1113.80234647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (5 + -13 - -3)) + -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 7, i: 3, f: 1, x: 1, y: 1}. Give prob of sequence iis.\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001244434 rounded to 4 decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 160\/26 + 92\/(-598) and 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.138 + -11.838. Let y = -9.6 + -2.4. Let z = y - s. What is the smallest value in z, 5, 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -52\/412341 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4372025, -8744051, -13116077, -17488103, -21860129, -26232155?\nAnswer: -30604181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/13 in -3, 5, -6\/17, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, l: 3, g: 3, d: 2, q: 1, s: 1}. What is prob of picking 1 q and 2 g?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10240040110 - 1?\nAnswer: 10240040104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, j: 3, y: 1, p: 1, b: 1, h: 4}. Give prob of picking 1 h and 1 b.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 600040.\nAnswer: 2, 5, 7, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 3*i + u, -i + u = -3725 + 3716 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 18 = -0*k. Suppose 0 = -k*u + u. Let p = u + 12. Calculate the greatest common factor of p and 72.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -2 (c) -11 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 66774 in -1, -5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 9 = -g, 18 = 4*a - g - g for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 4*q**2 - 3*q + 1. Calculate p(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 + 63 = -2*z + 4*p, -4*z = -3*p + 182. Let x = z - -62. What is the least common multiple of x and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.23, -52, -125?\nAnswer: -125","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*k - 153*k + 300 = 0 for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppjppppvpllcpppvv. Give prob of picking 2 l and 1 j.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from xxxxlxlxlxx?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of t**5\/10 - 5*t**4\/36 - 13*t**3\/18 - t**2\/3 - 47*t + 29. Let c(o) be the first derivative of g(o). Solve c(l) = 0 for l.\nAnswer: -1, -1\/6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3753110698.\nAnswer: 2, 19, 23, 4294177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -252335 * -2.4\nAnswer: 605604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-1*(sqrt(13) + sqrt(13) + -1 + 4))**2.\nAnswer: 12*sqrt(13) + 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 36 (base 8) to base 13\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7 - -3)\/(2\/(-1)). Find n such that -5*n**2 + 5*n**5 + 5*n**j - 838*n**4 + 858*n**4 - 60*n**3 = 0.\nAnswer: -6, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of o**4\/4 + 13*o**3\/3 + 5*o**2\/2 + 15*o - 2. Is g(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -239, -885, -1961, -3467, -5403, -7769?\n\"Answer: -215*l**2 - l - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1478691\/44 + -33605. What is the common denominator of v and (1 - 30\/28)\/(2886\/104377)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15371 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a - a + 0*a + (4 - 2 + 0)*(-1 + 1 - 2*a).\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -5*t**2 + 4*t + 5. Let i(q) = -3*q**2 + 2*q + 3. Let h be 47\/7 + 2\/7. Let f be (h + -10)\/(6\/8). Give f*j(s) + 7*i(s).\nAnswer: -s**2 - 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 412333 (base 5) to base 6.\nAnswer: 142204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1786 by 4.\nAnswer: 893\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - 9*s**2 - 5*s**2 + 9*s**2 - 1 + 56*s. Is g(-19) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 435027 (base 11) to base 8.\nAnswer: 2515033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from mbbm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 14 + 6*y**4)*(-4 - 6 + 4) - 4*y**4 - y**3 + y**3.\nAnswer: -40*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -206, -123, 14, 205, 450, 749?\n\"Answer: 27*n**2 + 2*n - 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 2*c + 4 = 0, -4*t = -2*t - 5*c + 21. Solve -4*j + 7 = -3*z, 2*z = -2*z - t*j - 24 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 56679616 by 14169904.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 139*u. Let t(r) = 127647*r**2. Determine t(p(d)).\nAnswer: 2466267687*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 1329192.\nAnswer: -1\/332298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 225 = -3*b, -3*c - b - 227 = -0*b. Calculate the smallest common multiple of (c\/6)\/(5\/(-165)) and 10.\nAnswer: 2090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -78202, -155690, -233288, -311050, -389030, -467282, -545860, -624818?\n\"Answer: -9*w**3 - w**2 - 77422*w - 770","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 125, -13, -2, 0, -343 in increasing order.\nAnswer: -343, -13, -2, 0, 125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - s - 169 - 59, 0 = -5*s + 25. List the prime factors of v.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*w - 185 + 185.\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2911 + -2910.9993569. Round s to five dps.\nAnswer: 0.00064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2957*b + 1. Let m(d) = d - 42. Give n(m(x)).\nAnswer: 2957*x - 124193","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-1\/30))\/((a*a**(-20)\/a)\/a)*(a**(-7))**(-32) assuming a is positive.\nAnswer: a**(7381\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 7*r + 0*r)*(-3*r**2 + 14*r**2 + 0*r**2 + r).\nAnswer: 88*r**3 + 8*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 - (-18 - -5) - (-22 + -9 + 46)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 188*c**4 + 15139*c**2 + c + 49900837 wrt c.\nAnswer: 752*c**3 + 30278*c + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4452)\/(-424)*208\/(-117).\nAnswer: -56\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -369 - -751. Let u = i + 189. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 8 (b) 4 (c) -283 (d) 3 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -57*l - 437. Let i(r) = 2*r**2. Give i(n(o)).\nAnswer: 6498*o**2 + 99636*o + 381938","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-134)\/10 + 13 - 323\/(-85).\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005376 rounded to five dps?\nAnswer: 0.00054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of -7\/12*r**4 + r**2 + 7*r + 21\/20*r**5 + 0 + 0*r**3. What is the third derivative of a(x) wrt x?\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -416*y**2 - 2*y - 347. Let k(q) = -6*q. Give k(h(t)).\nAnswer: 2496*t**2 + 12*t + 2082","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**0)**(-1\/21)*q**(-2)\/q**(2\/3))\/((q**(1\/7)*q**(-1\/6))\/(q**(-2))**(-1\/7)) assuming q is positive.\nAnswer: q**(-101\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**3 - 21*w**2 + 30*w + 48.\nAnswer: -3*(w - 2)*(w + 1)*(w + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 23590309 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + 6*o + 6. Let h(n) = 7*n**2 + 1. Let f be h(-1). Let g = f + -14. Is 4 a factor of w(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3954.9 + 3969.234. Round k to 0 decimal places.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -20, 2 in decreasing order.\nAnswer: 2, 1, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -9 - 120\/(-6) - 6. Solve 2*r - 3*r + f*y + 13 = 0, r - 3*y = 7 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -874829.9 and -4639?\nAnswer: 870190.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2676 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - 2206*b**2 + 13288*b + 12. Let i be s(6). Find n, given that i*n - 2\/3*n**4 + 0 - 32\/3*n**3 - 30*n**2 = 0.\nAnswer: -9, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 377, -106, 9, 0 in descending order.\nAnswer: 377, 9, 0, -2, -4, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*g + 134 = 166. Solve 9*x + 28 = g*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -76 + 46. Is l\/(-18)*889473\/65 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -172 + (-2)\/6 + 8\/6. What is the common denominator of (1 - m\/7)*(-15)\/(-420) and 11\/84?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**3 + 164*m**2 - 316*m + 156.\nAnswer: -4*(m - 39)*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 48910.56151 to the nearest 100.\nAnswer: 48900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/2 and -69\/3928?\nAnswer: 3928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -259, -695, -1299, -2065, -2987, -4059, -5275?\n\"Answer: n**3 - 90*n**2 - 173*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*i - 64*i + 16 = 2*n, -3*i = -5*n + 1 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**2 + 25*i - 17 - 4 + i**2.\nAnswer: i**2 + 25*i - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - -1 - (-6 - 0). Suppose -5*f + 9*f = 65*f - 244. Solve 8 = -2*l, d + 2*l = -f - u for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 720 divided by 7?\nAnswer: 720\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -4222*d + 506*d + 23 - 6 + 7 + 5. Is y(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, o: 2, e: 4, l: 1, x: 2, j: 1}. Give prob of sequence xhxe.\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 15 = -3*r, 0 = 7*r - 5*r - 2*c - 10. Sort r, -12, -3, 0 in ascending order.\nAnswer: -12, -3, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 divided by 93?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**3 - 15574*c**2 + 15574*c**2.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 326339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -8*u**2 - u - 8. Let q(d) = -23*d**2 - 3*d - 23. Let v = -199 - -203. Suppose 26 = 7*c - v*c + 2*x, -x - 14 = -3*c. Calculate c*q(k) - 17*f(k).\nAnswer: -2*k**2 - k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 552.644 - 555. Let w = 0.9 - -1.5. Let m = c + w. Round m to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 5. Let i = -1.9 - z. Let j = 0 - i. What is the nearest to j in -2, 0.2, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85391857 is divided by 585.\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 17 = 23. Let c be 4 - 2 - -2 - -1240. Suppose c = -f*j + 4099. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2106*t**2 - 10527*t\/5 + 3\/5.\nAnswer: -3*(t + 1)*(3510*t - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9799.191 millilitres to litres.\nAnswer: 9.799191","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 111485782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 2*l**2\/9 - 324268*l\/9 + 13143716978\/9 = 0.\nAnswer: 81067","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7232371479 rounded to the nearest one million?\nAnswer: 7232000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6\/20*2*-5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 7*c**2 + 131*c - 417. Calculate x(-23).\nAnswer: 273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29*s**5 + 8*s**4 + s**3 + 24*s**2 - 3*s + 9.\nAnswer: -1740*s**2 + 192*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(156) - 2*sqrt(156))*5)\/(sqrt(96)\/(sqrt(640)\/sqrt(5))) + 5.\nAnswer: -40*sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of c**4\/12 + 7*c**3\/2 - 101*c**2\/2 + 50*c. What is the units digit of b(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -1716*l. Let j(g) = 12*g**2 - 164*g. Calculate j(f(b)).\nAnswer: 35335872*b**2 + 281424*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 98*r**3 + 2898980*r**2 - 368105534*r + 11660330584 = 0.\nAnswer: -29708, 443\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*o**5 - 54*o**4 + 631*o**3 - 5*o**2 - 5*o + 1016 wrt o?\nAnswer: -120*o**2 - 1296*o + 3786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 55*x - 9. Let g be v(10). Let t = -242 + g. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0*(-2)\/8*-2. Suppose -2*u + 5*i + 17 = d, 3*u + 3*i = -u - 5. Suppose 96 + u = p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27497005 is divided by 1291.\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95)\/(sqrt(5) - (2*sqrt(30) + sqrt(30))\/sqrt(6)))**2.\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 8 and -167.637.\nAnswer: -159.637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26\/491 - -299149\/2455. Let u = d + -9839\/80. Calculate the common denominator of u and -101\/8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -10106.4, -57, 1\/13 in decreasing order.\nAnswer: 0.1, 1\/13, -57, -10106.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 87 = 5*s. What is the smallest common multiple of (((-3)\/(-2))\/(-3))\/((-1)\/4) and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -144236447?\nAnswer: 144236450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -4392506 greater than 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 86606 divided by -6662\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4929 - 3204. Does 25 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48208021 divided by -2.\nAnswer: 48208021\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 699723, 2798877, 6297465, 11195487, 17492943?\nAnswer: 25189833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 100? (a) 0 (b) 2 (c) 34.78\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (3*10\/30)\/((-38)\/(-4))\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12608 and 197?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -30044433 (base 5) in base 16?\nAnswer: -39fb5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 183 + -121. Let x = i + 33. Let r = x + -95.3. What is the fourth biggest value in -3, 5, r, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*v**2 - 14*v**2 + 43*v**2)*(4 - 5 - 1)*(2*v + 0*v - v).\nAnswer: -20*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 73389312?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of -a**6\/120 + a**5\/6 + a**4\/24 - 5*a**3\/6 + 3*a**2. Let x be t(10). Solve r**3 - 3*r + 7*r + 1 - x*r - r**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209)*2*-6)\/(-2*sqrt(99)).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2137152991372 and 1.\nAnswer: 2137152991373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 + 28*p**2 - 50*p - 34. Let g be x(-29). Suppose h - 5*z = g, -888 + 329 = -h - 3*z. What are the prime factors of h?\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/59, -4, -0.5?\nAnswer: -3\/59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.17107139 to 1 decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -3*k + 30, -3*k - 5*g = -0*k. Solve 0 = -o + 3*v - 2, k*o - 3*v + 11 = 1 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 + 17*h - 39. Let j be p(3). Solve 5*v + 7 = -3*i - 10, -j*i - 3*v - 9 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -1677*o**2 - 14*o + 4. Let d(p) = -1674*p**2 - 12*p + 3. Let m(l) = -4*d(l) + 3*v(l). Find the second derivative of m(q) wrt q.\nAnswer: 3330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 AM and 8:58 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31832.73l?\nAnswer: 31832730","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, a: 2, j: 2, k: 1, f: 2, d: 1}. Give prob of picking 2 a and 1 r.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 + 15496.\nAnswer: 15495.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 86 + 2*(3 + -2). Suppose 88 = -4*o + 3*d, -o + 5*d + k = -5*o. Let x be (2 - (-48)\/o)*1. Which is greater: 1 or x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(0 + sqrt(5) + sqrt(20)\/sqrt(4)))**2 + 0.\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11 + -48?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l + 9. Let r be g(9). Suppose r = -3*h - 59 - 7. Is -23 smaller than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 8*t = -140. Let s = -2 + t. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -122 + 537. List the prime factors of b.\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 436 - 243. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(15498\/1927 + -8)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -61.\nAnswer: 1\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13336253 is divided by 303?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45904 and 447184?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 75079, 75221, 75357, 75487, 75611?\nAnswer: 75729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -44*u - 44. Let l(a) = 5*a + 5. What is 28*l(w) + 3*r(w)?\nAnswer: 8*w + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -17 - (-6 - 0 - (-13 - -7 - -6))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -49, -72, -103?\nAnswer: -142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 54737 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 2, -2 in increasing order.\nAnswer: -6, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170808 - 170088 = -90*g for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 8*u**3 - 6*u**3 + 12*u**2 + 9 + u - u**3. Let c be v(-12). Let b be -2 + c + -2993 - 2. What is b rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (67\/134 + (2\/1)\/(-36))\/2. Which is the fifth biggest value? (a) 3 (b) 1\/2 (c) 0.6 (d) 6\/5 (e) y\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 53 - 25. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -564 - -3306. What is the hundreds digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9946975 and 5357.\nAnswer: 109416725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, s: 1, c: 6, z: 5, p: 1}. Give prob of sequence zc.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5.2 (b) -1 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9089*w - 9089*w + 126*w**3.\nAnswer: 126*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 943215?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m = -5*m + 12. Let a(h) = h**3 + h**2 - 4*h - 3. Give a(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-15))\/((-8)\/(-20)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 411217 + 2?\nAnswer: 411219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21 and 903.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j. Let f(b) be the third derivative of 0*b + 0 + 0*b**4 - b**2 + 1\/60*b**5 + 0*b**3. Give g(f(t)).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -4*v + 12. Let l be p(7). Let q = -11 - l. Suppose -3*i - q*d + 154 = 0, -4*i - 2*d - 2*d = -208. What is the remainder when i is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 77*n**3 - 10*n**2 + 33*n + 12. What is the thousands digit of l(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -176, -325, -474, -623?\nAnswer: -772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to -2\/2721?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 657?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -11, -3, 1 in ascending order.\nAnswer: -11, -3, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y**(-6\/11)\/y)\/y)\/(y*y**(-27)*y) assuming y is positive.\nAnswer: y**(258\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10999 is divided by 30.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 2517.\nAnswer: -1258.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/3*(-681)\/(-9988).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 0 - (19 + -21)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of o**5\/60 + 2*o**2 + 59. Let n(j) = -1313*j. What is u(n(a))?\nAnswer: 1723969*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/493 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1607.334 rounded to the nearest 100?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 513829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 104823448 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, p: 5, s: 1, k: 2, n: 3, e: 1}. Give prob of sequence ppn.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 28706321953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 6*i + 12. Solve i*r = 1 + 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0573? (a) -1.265 (b) -1\/2 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.07 + -2.1. Let t = y - 0.07. Let j = 14.906 + 0.094. What is the nearest to 0 in j, -0.2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1931, 1\/4, -0.76, 1 in decreasing order.\nAnswer: 1931, 1, 1\/4, -0.76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 6411137.14 to the nearest ten thousand.\nAnswer: 6410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 41*c**4 + 6*c**3 + 8*c + 6. Let a(n) = 41*n**4 + 5*n**3 + 8*n + 5. Let k(m) = -6*a(m) + 5*l(m). Find the second derivative of k(y) wrt y.\nAnswer: -492*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 32\/5 of a tonne?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1172 - 1171.9. What is the nearest to a in 9, -9, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2254 - -3570. Suppose 10*v - c = 2044. Calculate the greatest common divisor of v and 126.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u**3 - 3934 + u - 2*u**2 + 3934 to k*u + v + x*u**3 + d*u**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28930 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 4. Let f = -3 + p. Let t = 37552 + -300407\/8. Is t < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.099, -1\/212, 0.2.\nAnswer: -1\/212, 0.099, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 41*v + 4713 - 859. What is the third smallest value in -2\/13, v, -0.3, 0?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -6*z + 19. Let s(g) = 13186 - 19*g + 13*g + 9*g - 13195. What is 5*s(b) + 2*t(b)?\nAnswer: 3*b - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 9643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 510576?\nAnswer: 2, 3, 11, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 228, 386, 600, 864, 1172, 1518, 1896, 2300?\nAnswer: 2724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 + 4 = -w. Suppose j + w = 4*j. Suppose -5*t + j = -32. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5 from -4.4234.\nAnswer: -4.9234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-8)\/774)\/(5215\/6705))\/(4\/(-14)).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(170)\/sqrt(10) + 5 + 0.\nAnswer: sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0\/(-3))\/(-5 + 0) - 0. Let t = -665 + 1331\/2. Factor o + t*y**2 + 2*y.\nAnswer: y*(y + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1111366 - 2?\nAnswer: -1111401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v\/((v*v**(-2))\/v))\/v)\/v**(-4\/7))\/(((v**(1\/6)\/v)\/v)\/(v**1*v)))\/((v**(2\/5))**(2\/7)*(v*(v**0\/v)\/v)**(-5\/6)) assuming v is positive.\nAnswer: v**(191\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 34208778 and 39.\nAnswer: 444714114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.035 - -0.024. Let r = v - -8.011. Let y = r - 13. What is the third smallest value in -3, y, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -2, 1117?\nAnswer: 1117","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -37*u + 3. What is t(-1)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7461e + -1?\nAnswer: 7461d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*f - 40*f + 40 = 0. Let s = 1 + 1. Suppose 3*l + 3 = -3*n, -f*l - s = 4*n + 1. What is the third smallest value in 3, 0.02, l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of -m**7\/280 + m**6\/30 - m**5\/10 + m**3\/3 + 5*m**2. Let h(i) be the first derivative of x(i). Determine a so that h(a) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/6, 16, 48\/23, -2, 0.04, -1\/6 in descending order.\nAnswer: 16, 48\/23, 5\/6, 0.04, -1\/6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bpbl when four letters picked without replacement from mbpbpdmddmddlmd.\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1780671?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -28 - 17. Suppose s = 4*v - 11. Suppose 1881 = v*z + 406. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of b**3\/6 + b**2 - 9*b. Give q(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 670 = -9*c + 13*c + p, -3*c = 5*p - 494. Is 6 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.54 times 255.6?\nAnswer: 3460.824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1020*u**5 + 2*u**3 - 1036*u**2?\nAnswer: -61200*u**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does -637 = -637?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 4*o**2 - 4*o - 3. Let n be r(5). Suppose -x - n*x = -15. Suppose x*b + 3 - 13 = 0. Solve 0 = b*h + 2 - 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + 1. Factor 0*f**2 - 3*f**2 - 2*f + f**3 + k*f**2 + 0*f**3.\nAnswer: f*(f - 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 21445, 21710, 21975, 22240, 22505?\n\"Answer: 265*q + 21180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4803\/14 - -2403\/7. Let z = 0.08 + -7.08. Which is the nearest to -1? (a) t (b) z (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u - 63842*u**3 - 63843*u**3 - 63847*u**3 + 191522*u**3 - u.\nAnswer: -10*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/3 (b) 2\/11 (c) -1\/61 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 5*x**2 - 19*x - 5. Suppose 20 = 2*g - 2. What is the hundreds digit of a(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 44 - -8. Let p = n - 26. Let i be (p\/16 - 1)*14\/105. What is the smallest value in -1\/5, i, 2\/7?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 5*r. Let d(n) = -11*n. Let l(u) = -5*d(u) - 10*v(u). Let g(k) = -17*k. Give l(g(m)).\nAnswer: -85*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 528 divide 8353933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 105 and 3585.\nAnswer: 25095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-7 + 3 + 3 - -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 618 - 20?\nAnswer: 5a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 2*m - 5*m)*(25*m - 159*m - 24*m).\nAnswer: 632*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 408 = 258*r - 54*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a millennium in decades?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -32236000 to the nearest 100000.\nAnswer: -32200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*h + 468 = -21*h + 8*h. Calculate the lowest common multiple of 894 and h.\nAnswer: 5364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.816 - 1.786. Which is the fourth biggest value? (a) -0.1 (b) v (c) 6 (d) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 5*n - 273, 4*s - 72 = -n + 181. Let j = s - 27. Solve -5*o = -4*r - j, -5*r - 2 - 32 = -3*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*g - 313*g - 34*g - 90*g.\nAnswer: -383*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/40*(-7)\/(4\/72*-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/48 and 1 + -2 - (-1816)\/1280.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-6) - (-3695)\/(-30). What is the tens digit of (20\/2 - 2)*m\/(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 + -2)\/((-6 - -9) + -2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 504\/51 + 2\/17. Let b be (-4)\/j*(-2950)\/20. Suppose 4*p + 15 = b. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -11 + 1 + (47 - 13 - 31).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*h - 34 - 62 = 0. Let y be ((-1)\/(-2))\/((-4)\/(-8)). Sort h, -5, y.\nAnswer: -5, y, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56882893 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 12*z + 22. What is the lowest common multiple of 22 and i(6)?\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-five halves of a litre?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -0.2, 5, -21\/2, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 12*k + 88. Let g be a(-8). Let o(s) = -s**3 - 7*s**2 + 7*s + 8. Calculate o(g).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -34506231 to the nearest one hundred thousand.\nAnswer: -34500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 12*6\/(-621)*(-21)\/(-28)\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1446 and 378?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -18*f**2 + 2*f. Let q(x) = 73*x**2 - 9*x. Calculate -9*l(s) - 2*q(s).\nAnswer: 16*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/460 and -169\/150.\nAnswer: 6900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*-1*sqrt(121)*1)\/((sqrt(396) - (sqrt(396) + 1*(1*sqrt(396) - sqrt(396)))) + sqrt(396)))**2.\nAnswer: 275\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - -2. Suppose 5*q = a*q - 2*x + 200, -5*q + 4*x + 545 = 0. What is the highest common factor of 15 and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/2 and -47\/246.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 968*q**4 + 3*q**3 - 135*q**2 + 343919*q - 3?\nAnswer: 11616*q**2 + 18*q - 270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + 7*d - 3. Let f be h(6). Let x(a) = -2*a**2 + 2*a. Calculate x(f).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3*c + 0)*(-2 - 5 + 5)*(-10*c + c + c).\nAnswer: 48*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15382532 - -15382631.99899. Let y = -196 + 296. Let w = m - y. What is w rounded to four decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3903.\nAnswer: 3, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00486772 to five dps.\nAnswer: 0.00487","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 plus -169237.495?\nAnswer: -169237.195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 51 + -42. Suppose -p*z + 16 = -z. Suppose -d + 2*g + 123 = 0, 2*d + z*g - 345 = -d. What are the prime factors of d?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 3*h + 1. Let t be i(-3). Find the common denominator of (-54)\/t*(-2)\/(-24) and 33\/10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 110, 213, 316?\nAnswer: 419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 75907 in -0.1, 3, 0.1, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-1)\/b)\/b)**(-49)*(b\/(((b*b\/b**(-1)*b)\/b)\/b))**(13\/4))**(-1\/34) assuming b is positive.\nAnswer: b**(-575\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**5 - 44*p**4 + 589*p**3 + 8240*p**2 - 38736*p + 29952 = 0 for p.\nAnswer: -52, -12, 1, 3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Convert 6801 (base 16) to base 5.\nAnswer: 1323000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -64 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10522.\nAnswer: 2, 5261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that b**3 + 68*b**2 + 65*b - 134 = 0.\nAnswer: -67, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 2*t - 30, 0 = 5*b - 5*t + t - 70. Suppose b = 2*q + 2. Solve -g + q = -0*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**2 + t**2 + t**2 + (-t - t + 0*t)*(-3*t + 2*t - t) - 2*t**2 + 0*t + 0*t.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 3, -0.2, 4\/5, 0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*c**2 + 0*c - 10\/3*c**3 + 0 - 2\/3*c**4 = 0. What is c?\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23.6896 + 0.0104. Let v = 23.700234 - l. What is v rounded to five decimal places?\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 231, 236, 243, 252, 263, 276?\nAnswer: 291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 96 and 0.875.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 122 - 99. Let m(b) = -b**2 + 3*b + 91. Let q(y) = 3*y**2 - 7*y - 183. Let i(a) = 5*m(a) + 2*q(a). What is the remainder when i(0) is divided by f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20596.\nAnswer: 2, 19, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-46)\/(-8) - ((-45)\/(-12))\/5. Sort 2, -2, g in descending order.\nAnswer: g, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 602 and 10244\/17 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000037391912 to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4\/9, -5, -4?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -41, -22, 25, 112, 251, 454, 733, 1100?\n\"Answer: 2*y**3 + 2*y**2 - y - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, r: 1, b: 1, i: 1, m: 1}. What is prob of sequence nmrb?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2061 + -30904\/15. Is 1 at most as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**3 + 2*t - 2*t)*(6*t - 35 + 35)*(1 + 1 + 0).\nAnswer: -36*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 4*b**2 + 9*b - 4. Suppose 9*t = 4*t, j - 4*t = 2. Let z(o) = -2*o**2 - 6*o - o - 4 + j*o + 6. Suppose -2*c + 17 - 3 = 0. What is c*z(p) + 4*g(p)?\nAnswer: 2*p**2 + p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-3))\/((-4)\/(-12))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + (-31 - -15) - (0 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38 - 78. List the prime factors of (-34)\/51 - c\/6.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.040491 + -0.04. Round n to 5 dps.\nAnswer: 0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 200572 and 328?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 271, 270, 269, 268, 267?\nAnswer: 266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (224\/7)\/8 - (-1 + 1). Solve -s - 20 = p*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -111000320 + -212?\nAnswer: -111001132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3\/22, 0.1, 4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.01 - -0.31. Suppose 4*j - 87 - 105 = -3*u, -4*j = 4*u - 196. Let l be 4 + j\/(-12) - (-65)\/(-100). What is the third smallest value in l, b, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 30, 2*y - 4*y - 20525 = -11*j. Is 1865 at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2127*p + 2916 = -1066*p - 1066*p + 38*i, 391 = 3*p + 5*i for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0809 - 0.5809. Which is the smallest value? (a) 4 (b) 0.43 (c) -0.1 (d) -4 (e) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) -4\/13 (b) -93 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*j, -4*h + 7*h - 2*j - 7 = 0. Does 20 divide (-246)\/(-4) - h\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*((-220)\/20)\/121.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3020 (base 5) in base 3?\nAnswer: -112021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -j + 5056, 24*j - 3*i = 26*j - 10123. Does 92 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rdbbbrbprrbufdufbbbb. Give prob of sequence bb.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 16*s**2 + 12*s - 10. Let b(h) = 6 + 10 - 14*h**2 - 20 + 3. Let x be b(1). What is the remainder when 134 is divided by z(x)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5247409 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -53*f**3 - f**2 - 2*f + 38. Does 68 divide c(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 + 3*j + 4. Let y be m(5). Calculate the remainder when (-2)\/y + 16\/24 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, 21, 78, 189, 372, 645?\nAnswer: 1026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 PM and 12:58 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 3541 = 2*f - 23558, f - 9998 = l. Calculate the highest common factor of 137 and f.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in 14, 1\/2, 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 + 5*i + 3. Suppose 15*u = 230 + 430. Let t = 51 - u. Calculate b(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1963 + 3069. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 16*p - 5202 = 0. Let c = -579 - p. Let o(j) be the first derivative of 15*j**4\/4 - j + 2. Calculate o(c).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.2 and -27986845 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18761?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddss when four letters picked without replacement from {d: 6, s: 4}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j - 4*j + 6*j)*(15*j**4 - 928 + 928 + (-3*j + 3*j + j**2)*(-5*j**2 + 3*j**2 + j**2) + 5*j**4 + j**4 - 3*j**4 + 2*j**3 - 2*j**3 - j**4).\nAnswer: 32*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10952272?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 6 = 6*n. Let f be 5\/n*-1*2. Let v = f + 10. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.905 + 11.988\nAnswer: 10.083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 y when two letters picked without replacement from {d: 2, y: 7, t: 4}.\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(-22))\/(1\/4). Which is the second biggest value? (a) u (b) 1 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 q when three letters picked without replacement from tqqkkkqykykqkqkklk?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 0, -3, 6, 2 in descending order.\nAnswer: 6, 2, 0, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -20\/3 and 68\/195.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -122069*j*t + 55*t + 383 wrt j?\nAnswer: -122069*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/47 in -1, 27865, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12211133 (base 4) to base 14.\nAnswer: 9b8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 172342371 a multiple of 714?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 2*g + 18 = 0, 5*x - 10 + 1 = -2*g for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 + 13*i - 27. Let s be l(10). Determine o, given that -3\/2*o**2 + 0*o + 2 - 1\/2*o**s = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/10*10\/28. Let v = 2178 + -2176. What is the closest to -1\/2 in v, 2\/3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 10*s + 15 = 0. Solve w + 5*u - 24 = 0, s*w = -2*w - 3*u + 10 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 536 minutes before 4:26 PM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Solve -183*c - 132*c = 78*c - 12576 for c.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 305*r**2. Let z(x) = -33*x + 6. Let s(c) = -39*c + 7. Let h(j) = 6*s(j) - 7*z(j). What is h(q(a))?\nAnswer: -915*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 291043, 291276, 291509?\n\"Answer: 233*x + 290810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**2 - 2*z**2 - 3*z**2 + (-17 - 2 - 12)*(3*z**2 + 60*z + 76*z - 128*z).\nAnswer: -96*z**2 - 248*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 1 - ((10 - 4) + 1 + 6).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -724 + 790. Let v(n) = 6*n**2 - 3*n - 1. Let z be v(3). What is the highest common divisor of r and z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 637732 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -4*s + 9*s + 2 - 5. Calculate the remainder when 11\/(66\/300) + -1 is divided by h(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 1528*y**2 + 1524957*y + 12985. Give z(-998).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + a + 9 = -49, -3*g + 45 = -4*a. Let m be (1 - 21)\/((-3)\/6). What is the remainder when g is divided by (m\/(-20))\/((-2)\/7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/(-9))\/(1\/15). Suppose -2*u + 2 + 4 = 0. Suppose y*v = u*v. Solve -d - 3*q = -14, v*d - 12 = 2*d - 4*q for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13377448 and 1.\nAnswer: 13377448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -11. Let j(k) = 2*k**2. Let t be j(o). Let w = -22 + t. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 904124*u**3 + 226047*u**2 + 4*u.\nAnswer: u*(4*u + 1)*(226031*u + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*y - 61755 = -32*y. What is the remainder when y is divided by 56?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (9\/12)\/((-3)\/12). Suppose -22 = 2*w - 30. Let u = -331 + 334. Put w, u, -2, v in ascending order.\nAnswer: v, -2, u, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 448606?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of g**4 + 8*g - 9. Let c(a) = -3*a**2. What is c(z(p))?\nAnswer: -432*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 0 = 6. Let o = -4 - d. Which is bigger: -4\/5 or o?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 21 (c) -1\/2 (d) 34 (e) 346\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*u + 0 + 0)*(u**3 - u**3 - 2*u**3) - u**3 - 2*u**4 + u**3 - 3*u**4 + 0*u**4 + 4*u**4 + 2*u**4 - 5*u**4 + u**4)*(-1 + 3 - 3)*(-294 + 600 + 957).\nAnswer: -1263*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.55 + -0.15. Let g = 0.8 - w. Which is the nearest to 2? (a) g (b) 0.2 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 14, 44, 88, 146, 218, 304, 404?\n\"Answer: 7*z**2 + 9*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 - -159.4?\nAnswer: 159.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 2367000 to the nearest 100000.\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7156\/8365 - 2\/1195. Let j = s + 32\/21. Sort -0.5, j, 0.3.\nAnswer: -0.5, 0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000003743 to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -d**5 + 22235812*d**3 - 69*d**2 - 20175*d + 1?\nAnswer: -60*d**2 + 133414872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21086.\nAnswer: 2, 13, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -958873 by -50467.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - (-2 - 1 - -378)*-1. Let s = m + -370. Calculate the greatest common divisor of 25 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*h + 7*h + 0*h)*(-2 - h + 3*h - h - 2*h + 0*h + h + (-1 + 4 - 1)*(h + 3*h - 2*h) + 14 + 6*h - 14) in the form c*h + d*h**2 + j and give c.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, p: 16, i: 3}. Give prob of sequence pvp.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 936, 3690, 8266, 14658, 22860, 32866, 44670, 58266?\n\"Answer: -u**3 + 917*u**2 + 10*u + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31926906 and 132.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -3*a**3 - 4*a**2 - 2*a + 1. Let v = 153 + -104. Let g = -51 + v. What is the units digit of t(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccuddecteocu. What is prob of picking 1 c and 1 u?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 74 = -4*p, 0 = 17*p - c - 14 + 376 for p.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1844100?\nAnswer: 2, 3, 5, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c - 11 + 4*c + 2*c - 1. Let n = -654 + 658. Let t be x(n). Solve -t*a = -3*g - 12, -2*g + 2*a - 1 = 7 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20108 - 20107.6. What is the third biggest value in -203, -3\/4, f?\nAnswer: -203","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1adcb (base 16) to base 7\nAnswer: 635531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-36)*(-32)\/26776. Let u be ((-4066685)\/60)\/(13388\/(-1)). Let x = d + u. Calculate the common denominator of 47\/22 and x.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/2)\/(535\/107)*-15\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + h - 36 = 0, 2*h + h = 4*k - 144. Suppose 0 = 4*j - 0*j - k. What is the remainder when 15 is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6025 + 93238?\nAnswer: 99263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 5*b - 434, 3*r = 2*b + 4*r - 171. What is the second derivative of -21*x + b*x**5 - 25*x + 34*x**5 - 58*x wrt x?\nAnswer: 2400*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-1)\/(-3050))\/((-812)\/(-41615)) and 3\/14?\nAnswer: 17080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - 1 - (-2 + -1). Suppose z - 7 = -s*z. Let j = 29 - z. Is 11 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(2\/13)*t*t*t\/t**(-2\/35) assuming t is positive.\nAnswer: t**(1461\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f*f*f\/f**(1\/3)*f*f))*f*f*f**(-6)*f*f)\/((f**(6\/7)*f)\/(f**(3\/2)\/f))*((f*f\/f**(2\/9)*f)\/f)\/f**1*(f*f**0)**(-48) assuming f is positive.\nAnswer: f**(-5785\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12667354?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2*((-138)\/253)\/(-3)\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3570, -7141, -10712, -14283?\n\"Answer: -3571*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2825 or -11299\/4?\nAnswer: -11299\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -54.\nAnswer: 21.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, l: 2}. What is prob of sequence gl?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/6 + (-144)\/27. Let w(v) be the first derivative of -v**3\/3 - 5*v**2\/2 + v - 1. Calculate w(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 53 + -2 + (4 - 20 - -6) - -5?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nmkik. What is prob of sequence kni?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -0.412531336536\nAnswer: -0.412531336536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dyd when three letters picked without replacement from {y: 7, d: 4}?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2957 + -549. What is the hundreds digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44906269?\nAnswer: 1699, 26431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1146.\nAnswer: 2, 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13635 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -83\/2244 - -1\/132. Let x = z - -55\/136. Let t(v) = -v**3 + 10*v**2 + 1. Let q be t(10). Is x at least as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4200 and 34800?\nAnswer: 243600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.028 + -0.0280066. Round b to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, 1\/7, 2\/645, 26?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 113465 less than 113467?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -201.233 - -201. Let y = 8.05 - 8.3. Let b = y - a. Round b to three dps.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 5) + (81 - 32) + -34?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4036 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12292.\nAnswer: 2, 7, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2149.24 rounded to the nearest 100?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14476 and 29986?\nAnswer: 419804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2659 = 2*b + 5*i, 4*b - 63*i = -60*i + 5383. What are the prime factors of b?\nAnswer: 2, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4482 + 5*q**2 - 4482.\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -130312 (base 4) in base 7?\nAnswer: -5245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5213 - -124993\/24. Let h = 287813\/40 - 7197. Find the common denominator of h and v.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19183 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58078774?\nAnswer: 2, 13, 59, 37861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -2*g - 4*r, 4*r = 3*g + 8*r - 31. What is the third derivative of -3*j**2 + 2*j**5 + 0*j**g - 5*j**5 wrt j?\nAnswer: -180*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -b**5\/40 + 43*b**3\/3 - 126. Let t(g) be the third derivative of a(g). Let s(c) = -166*c**2. Determine t(s(m)).\nAnswer: 498*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) + 1 - sqrt(1872))**2*-1 + sqrt(104)\/(sqrt(32)*1) + -1.\nAnswer: -2 + sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-128)\/8)\/(-16)*-4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/5*5*1\/(-4)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 150.29646 rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18422 - 15*n + 9227 + 9232)*(3*n**3 - n**2 + 0*n**2 - 2*n**3) to the form k + u*n + i*n**3 + b*n**2 + j*n**4 and give b.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -16*u. Let i(q) = 9*q - 5. Calculate the remainder when i(4) is divided by c(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -67.87 - -68. Sort 0.1, 1, n.\nAnswer: 0.1, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6064?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 7:40 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3507459469 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2691525*t**3 + 2672462*t**3 - 5363982*t**3.\nAnswer: 5*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 227677 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -73*h**2 - h. Let x(t) = -2*t. What is k(x(p))?\nAnswer: -292*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 8. Let f = -9 + 16. Is f at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 t, 1 y, and 1 d when four letters picked without replacement from {t: 6, p: 1, c: 2, d: 3, y: 4}?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13390*y - 42163*y + 21521*y.\nAnswer: -7252*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -81 and 1040445515944.\nAnswer: 1040445515863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9*(-4)\/1*(-915)\/540?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.286 to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 751 is divided by 148.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a century in months?\nAnswer: 2800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3276 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22 + 22 - 26*i)*((-3*i + 2*i + 3*i)*(2 - 3 - 1) + 3 - 3*i - 3) + 5*i**2 - i**2 + 3*i**2 as x + n*i**2 + y*i and give n.\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31636 and 5324.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 59*p - 271. Let y be u(27). Let v(x) = -24*x - y + 661 + 661. Let w(c) = -4*c + 6*c - c. Determine w(v(n)).\nAnswer: -24*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17042636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 44842498667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 134 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/7 (b) 2\/9 (c) -1\/207 (d) -1 (e) 54\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 p when four letters picked without replacement from {w: 12, p: 3, z: 1}?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6674028091.\nAnswer: 83, 80409977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m**2 + 69*m - 31. Give s(34).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6393, 33, 4.\nAnswer: -6393, 4, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*x + 3484 + 34532 = 0. Is 48 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*z = -22*z + 23172. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 2*d - 7. Let y = 210 - 248. Let k be y\/(-10) - d\/50. Solve b - k*b + 15 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-1*sqrt(1584))**2 + sqrt(11) + 1*(sqrt(11) + (sqrt(275) + sqrt(275)*1)**2 + sqrt(275) - sqrt(11)).\nAnswer: 6*sqrt(11) + 2687","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -789, -709, -629, -549, -469?\n\"Answer: 80*j - 869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120553698585 + 120553698585 - 332*v.\nAnswer: -332*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4822 a factor of 484592657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -339 * 0.012542\nAnswer: -4.251738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 928 is divided by 916?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-3 - (1 + 4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 72) + 8368 + -8279?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.038 (b) 16810 (c) -5\/4 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -95 + 113. Suppose 41*p + x = 47*p. Let v(t) = -4*t - 15. Let g(u) = -3*u - 10. Let a(s) = 7*g(s) - 5*v(s). Determine a(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ed8b (base 15) to base 4.\nAnswer: -30102002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 15) to base 16\nAnswer: -1f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 37b7 - -4?\nAnswer: 37bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = 3*a + 13, 0 = -5*a + 3*z + z - 23 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15180 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -7, -30, -5, 40.\nAnswer: -30, -7, -5, 4, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -35672 divided by 19\nAnswer: -35672\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 644.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 191211221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 + 62\/3. Which is the biggest value? (a) 3\/5 (b) d (c) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + j + 1. Let b(p) be the second derivative of -p**4\/4 + 5*p**3\/6 + 7*p**2\/2 - p - 109. Give b(c) - 5*g(c).\nAnswer: 2*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 + (-13)\/(26\/(-12)). Let w be ((-24)\/4)\/(6\/(-6)). Let g(c) = -c**2 + 1. Let j(t) = -4*t**3 + 5*t**2 - 3. Let l(o) = k*j(o) + w*g(o). Factor l(m).\nAnswer: -4*m**2*(2*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t + 4 - 20*t**2 - 23*t + 2*t + 8*t - 6*t**3 + 8*t. Let w(m) = 5*m**3 + 19*m**2 + 2*m - 3. What is 3*q(j) + 4*w(j)?\nAnswer: 2*j**3 + 16*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7769 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 23, -58, 4 in descending order.\nAnswer: 23, 4, 3, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -796*l + 158405. What is d(199)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 489 is divided by 33.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 686*w - 3*y = 687*w + 323, 0*w - 170*y = -w - 167*y + 325 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 12896, 12895, 12878, 12839, 12772, 12671, 12530?\n\"Answer: -h**3 - 2*h**2 + 12*h + 12887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u - 11. Suppose 76 = 13*q - 2. What is the least common multiple of q and t(-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i - 32 = -2*i - 6*k, 12 = 4*i + 5*k for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -1.9. Let a(z) = -z**2 + 7*z - 5. Let u be a(5). Suppose -3*j - 5*q - 10 = -0*j, 0 = -u*j + 2*q + 35. What is the nearest to l in 3\/7, 0, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.193 plus 67044.84368?\nAnswer: 67044.65068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 20062?\nAnswer: 80248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1\/5 + 1216\/(-5))\/((-195)\/20085)?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5837864 divided by 199?\nAnswer: -29336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 615, 1235, 1845, 2439, 3011, 3555, 4065, 4535?\n\"Answer: -n**3 + n**2 + 624*n - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 46.\nAnswer: -184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 2:30 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 387, 1582, 3575, 6366, 9955?\n\"Answer: 399*u**2 - 2*u - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/13*2\/4. Let q(n) = -9*n - 6. Let w(f) = 4*f + 3. Let u(y) = -3*q(y) - 7*w(y). Let c be u(-4). Do d and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 648*c**3 + 24*c**2 - 46*c - 69. Give w(-1).\nAnswer: -647","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 8*k**2 + 3*k - 2. Let r be o(8). List the prime factors of -4*(2 + r\/(-4)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**5 + 64*y**4 + 284*y**3 + 224*y**2 - 576*y.\nAnswer: 4*y*(y - 1)*(y + 4)**2*(y + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of 0 + 0*p**6 - 1\/105*p**7 + 0*p**5 - 1\/336*p**8 - 3*p**2 + 0*p**3 + 0*p**4 + 0*p. Factor n(b).\nAnswer: -b**4*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**3 - 264*p**2 + 512*p.\nAnswer: 4*p*(p - 64)*(p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3156 (b) 0 (c) -0.1 (d) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22495 is divided by 33?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 4*j = 15*j. Suppose a + 10 - 18 = j. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1450020 is divided by 4693?\nAnswer: 4576","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1722*a + 16 + 870*a + 16 + 894*a)*(0*a + 0*a + 2*a + (-2*a - 2 + 2)*(2 - 2 + 1) - a - 2 + 2 + 6*a - 6*a - 3*a).\nAnswer: -168*a**2 - 128*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -5*i + 49. Give a(15).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 + 6*w - 3. Let t be s(-6). Which is the closest to -1? (a) 1\/4 (b) -2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3 - 5)*(-4 + 0 + 0)*(0*i**5 + 2*i**5 + 0*i**5).\nAnswer: -16*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) -2.3 (c) 1\/5 (d) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 530.\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/204570 and -107\/3870.\nAnswer: 8796510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*-2*3\/(-12). Let j be 28\/56*(45 - a). Suppose w - j = 19. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m + 159 = 4*x, 0 = m - 104661*x + 104658*x - 28 for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -4) + -4 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 13491 - -429?\nAnswer: 138ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/7, -0.097, 42, -4\/7?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-536)*(-64)\/48?\nAnswer: 1\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8973*c + 140550 = -11784*c for c.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 - (5 + (4 - 12) + 2 + 7).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -7*p - 5. Calculate b(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 + 6*z + 5. Let v be c(-6). Solve y + 4*u + 17 = 0, u - 29 = -3*y + v*u for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 12.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -829*l**2 + 11*l - 132. Let s be w(8). Round s to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7209396 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -68, 2, 1\/2, -2\/9, -2 in decreasing order.\nAnswer: 2, 1\/2, -2\/9, -2, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -107*q**4 - 8*q**2 + 96. Let r(m) = -36*m**4 - 3*m**2 + 32. Let j(a) = 8*r(a) - 3*z(a). Differentiate j(p) wrt p.\nAnswer: 132*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 370483 is divided by 10585?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 122 = -4*k - 3*h, h - 158 = -5*k. Let r(j) = -j**3 + 7*j**2 + 3*j - 10. Calculate the remainder when k is divided by r(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1366579 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p**3 - p**2 - 2*p - 2. Does 18 divide z(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -22*t**2 - 6*t - 14. Let j(y) = -y**2 + y + 3. Calculate f(d) + 4*j(d).\nAnswer: -26*d**2 - 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -3*c**3 + 5*c**2 - 3*c - 40. Let s(v) = v**3 - v**2 + v + 1. Let b(r) = -4*s(r) - u(r). What is the tens digit of b(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 31, 33, 13, -41, -141?\n\"Answer: -2*l**3 + l**2 + 13*l + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y + 51. Calculate v(18).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1312 and 34790222?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.5, -34, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2*((-10)\/8 + 1)*-4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 17*b - 29. Let v(m) = 5*m**2 + 44*m - 18. Let y be v(-9). Let g(q) = 4*q - 7. Determine y*g(i) + 2*t(i).\nAnswer: -2*i + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -4, 15, -1036, 296 in decreasing order.\nAnswer: 296, 15, 5, -1, -4, -1036","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.165 (b) 5\/6 (c) 1\/4 (d) 160\/7 (e) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 11 = -9. Let k be ((-7)\/3)\/(2\/514860*s). Let r = k + 23134. What is r rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 0 + 6 = 0. Suppose 3*f = b - 2, f + 3*f + 11 = p*b. Let y be (0\/4)\/(0 + f). Solve y = 3*g - 3*x + x - 12, -5*g = 4*x + 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of g**6\/200 - g**5\/4 + 35*g**4\/8 - 75*g**3\/2 + 10179*g**2. Find l such that c(l) = 0.\nAnswer: 5, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 450040 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 5*u + 14*u + 0*u - 7 - 7*u. Determine c(5).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 q when four letters picked without replacement from ffqfqqavqfaqq.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from rvvrvrvvvv.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - 60?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1511636810 divided by -5\nAnswer: -302327362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6019 is divided by 215.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**2 - 5*z**2 + 2*z**2 - 2*z**2.\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + 8*a**2 + 7*a + 8. Let v = 36 - -66. Let w be v\/(-14) - (-6)\/21. What is the units digit of j(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 4*j - 2 - 1)*(10 - 8 + 9)*(-j - 2*j + 6*j).\nAnswer: 132*j**2 + 33*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from quaaquucfqcaauqcua. Give prob of sequence aaq.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of o*r**5 - o*r**3*v + 163*o*r**3 + 26*o - r + v wrt r.\nAnswer: 20*o*r**3 - 6*o*r*v + 978*o*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 13211, 13152, 13047, 12896, 12699, 12456, 12167?\n\"Answer: -23*x**2 + 10*x + 13224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a week in minutes?\nAnswer: 52920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 94686060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91635 = -16*t + 91443 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1549 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 21923695 a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 4) to base 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 97049*c**2*x*z**2 - 10*c**2*z**3 - 14417*c**2*z**2 + 96*c**2 + 189*c*x*z**3 wrt x?\nAnswer: 97049*c**2*z**2 + 189*c*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.694435 to 3 decimal places.\nAnswer: 1.694","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*p - 72*p + 1994839. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9375)\/(-1375) - (2\/(-11) - 0). Suppose -x*k + 10694 = -2823. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 12:16 PM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 220430?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**2 + 8*z - 11. Let q be v(3). Let a(o) = o**3 - 29*o**2 - 37*o + 65. What is the units digit of a(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 245412.\nAnswer: 2, 3, 17, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1020 (base 3) in base 5?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 380.6 - 381. What is the closest to 1 in w, 4, 22?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 b when three letters picked without replacement from bjbjbbbbbbjb?\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k - 2. Suppose -t + 5*x = 4*x, 3*x = -2*t - 5. Let z be o(t). Solve z = 2*i - 6*i + 12 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.95 + -2. Let l = 0.25 - p. What is the biggest value in l, -20, 0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -0*v + 5. Let z(l) = -l**3 + 5*l + 2. Let b be z(-3). Let q = b + -12. Solve -4*d = -5*r - 2, -q*r + 7*r = v*d - 5 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of 798*k**3 + 5*k**2\/2 + 66*k - 2080. Find the second derivative of m(f) wrt f.\nAnswer: 4788","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11797 and 142066?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1c (base 15) to base 5\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.04 and 54?\nAnswer: 56.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 486*c = 485*c + 4, -2*a - 3*c = -28954. What is the thousands digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41987059?\nAnswer: 17, 2469827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 4*o - 4 = 4*q, 3*o - 5 = 5*q. Suppose o*n = -2*n + u - 5190, -5180 = 2*n + 4*u. Let i be ((-12)\/(-3) - n) + 2. Round i to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + ((-9)\/3 - -5). Suppose v = z + 6*v - 27, t*z = -3*v + 23. Solve z*m - 9 = j, -5*m + j = -1 - 23 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4215 and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19699 is divided by 459?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -4 (b) 285 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 6*p**2 - 17*p + 11. Let z(v) = 2*v**2 - 6*v + 4. What is 4*w(j) - 11*z(j)?\nAnswer: 2*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((sqrt(243)*-1 - sqrt(243)) + -3 + 5 + sqrt(243) + 1 + sqrt(243))*2*-1)**2*-2.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 4968*i**4 - 3*i**2 + 42*i - 11. Let t(v) = 2483*v**4 - 2*v**2 + 21*v - 7. Let j(z) = -6*h(z) + 10*t(z). What is the third derivative of j(f) wrt f?\nAnswer: -119472*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 4*r - 8*r + 90 for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6295*d + 2933 + 2929 - 3737*d - 5862 to the form v*d + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -3 - (-2 + (-5 - 0)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 363\/31706?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i - 3 = -13*i. Calculate the remainder when (i\/(-2))\/(3\/(-1044)) is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**3 - 52*f**2 + 3*f + 35. Let j be r(26). Suppose -425 = -24*c - j. Let p = 2 - -3. Solve x = -p + 10, u - 2*x = -c for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 5*m - 20 = -4*p, 0 = 3*p + 5*m - 15. Let g(x) = x**3 - 5*x**2 + 3*x - 1. Let z be g(p). What is the highest common divisor of 154 and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 6*w - 9*w - 8*w + 3*w + 3*w. Let q(f) = -9*f**2 - 5. Let k(v) = -v**2 - 1. Let a(t) = 15*k(t) - 3*q(t). What is a(c(l))?\nAnswer: 300*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7870*a**2*r**2*v**2 + 3*a**2*v**2 - a**2*v - 2*a*r + 11*a*v**2 - 10*r*v**2 wrt r?\nAnswer: 15740*a**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 + 9)*(14*f - f - 2*f) + (-3*f + 0*f + 2*f)*(1 + 1 + 0).\nAnswer: 152*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/6 - (-4)\/(-6). Let x = -341679 - -341684. Sort -3, x, v in descending order.\nAnswer: x, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5147*h**2 - 21*h + 30*h - 18*h - 5189*h**2.\nAnswer: -42*h**2 - 9*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + a + 160 = 3*a, -2*a = -2*t + 160. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of -c**4\/12 + c**2. Let x(i) = -5*i + 6. Let q(l) = -6*l + 7. Let f = 43 - 37. Let j(v) = f*q(v) - 7*x(v). Determine t(j(w)).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, p: 2, a: 4, t: 3, f: 1}. Give prob of sequence atpt.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -12*w**2 - w + 2. Let y be c(0). Suppose 0 = l - u - 7, -3*l = 4*u + 9 + 5. Let q(z) = z**l - 1 + 0 - 2*z + z. Calculate q(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b - 11*b = -180. Find the second derivative of 21*s**5 - 37*s + 2 - 30*s**4 - b*s**5 - 10*s**5 wrt s.\nAnswer: 20*s**3 - 360*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 70306653?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15.5224 and 76.86?\nAnswer: -1193.051664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i**4 + i**3 - 196606*i**2 + 216632*i + 23?\nAnswer: -24*i**2 + 6*i - 393212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3055747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -3*p + 12, -12*p + 9*p - 6*b + 12 = 0. Calculate the least common multiple of 1 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2 - 3 + 9 + 3*k**2 + 6*k. Let t(m) = m. Let j(g) = -g**2 - 1. Let h(n) = -j(n) + t(n). Calculate -4*h(d) + r(d).\nAnswer: -d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = y, 9*y - 5*y = -2*q - 10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -81 + 92. Let p(m) = -10*m + 11. Let b(f) = 21*f - 21. Let x(q) = v*p(q) + 6*b(q). What is the derivative of x(h) wrt h?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4647*v**3 - 2396*v**3 - 2347*v**3.\nAnswer: -96*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence scc when three letters picked without replacement from scscsscsccsscscccss.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 204145495 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 5*o + 10. Let q(a) = 5*a + 9. Let w(z) = -5*n(z) + 6*q(z). Let t(d) = -d - 1. Let i = -488 + 497. Determine i*t(f) + 2*w(f).\nAnswer: f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-364)\/(-8) + 68 + -71)*(8\/20 + 0)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3*d - 3. Let m(o) = -5*o**3 - 3*o**2 + 5*o + 15. Let x be m(-2). Suppose 0 = 2*n - 10 - 2. Let l be -32 + x - (-4)\/n*-6. Determine s(l).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -623199 by 129.\nAnswer: -4831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00026011 rounded to five decimal places?\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*t + 3\/2*t**2 - 87\/2 = 0. What is t?\nAnswer: -29, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1556 is divided by 174.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1053\/(-702)*(-4)\/(-6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wgywygwyrw. What is prob of picking 1 y, 2 w, and 1 r?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l. Let g be b(-3). Let i(q) = -5 + q + 0 + 0 + 4. Let v(p) = p**2 - 8*p + 5. Give g*i(h) - v(h).\nAnswer: -h**2 + 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + 0*s + s + 6*s - 2*s - 3*s + (4 - 2 + 0)*(-4*s - 3*s + 6*s) - 3*s - 12*s - 2*s + 0 + 0 + 2*s)*(2*s - 4*s - 2*s).\nAnswer: 60*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -4*m + 3. Let i(x) = -23*x - 11. Let a(g) = -10*g - 5. Let s(l) = -9*a(l) + 4*i(l). Determine -2*d(y) + 5*s(y).\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -17. Let s(m) = 83*m**2 - 27*m + 16. Let u(j) = -71*j**2 + 24*j - 14. Let z(h) = -6*s(h) - 7*u(h). Give z(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(7) - sqrt(112)) + (sqrt(7) - sqrt(63)) + -4.\nAnswer: -5*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 164 + -107. What is the remainder when k is divided by 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10784*q**3 + 10776*q**3 - 21536*q**3.\nAnswer: 24*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.4 - 3.6. Let o = -715 - -719. Let s = 1 - 2. What is the closest to s in o, -1\/6, u?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20293863?\nAnswer: 3, 6764621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 3*o**3 - 1578*o**2 + 205920*o + 418176 = 0.\nAnswer: -2, 264","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*t**3 + 79*t**2 + 1707*t - 9364947?\nAnswer: -6*t**2 + 158*t + 1707","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of 4*d**5\/35 - 4*d**3\/7 + 4*d**2\/7 + 27. Factor u(y).\nAnswer: 4*y*(y - 1)**2*(y + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7\/2*(-4*(-3)\/(-21))\/(-19). Let r be (0 + 1 - -2) + 2. Let u = 6\/11 - 7\/33. Which is the biggest value? (a) r (b) 0.5 (c) u (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -97, -119, -177, -289, -473, -747, -1129, -1637?\n\"Answer: -3*h**3 - h - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5939 is divided by 47.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of a**4\/12 + a**3\/3 + a**2\/2 - a. What is the lowest common multiple of r(-3) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.69 or 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t**2 - 2*t - 1. Let h(g) = g + 2. Let n be h(1). Let j(m) = -m**3 - 3*m**2 - 3*m. What is n*q(w) - 2*j(w)?\nAnswer: 2*w**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (8 + -2)*1 - (-78 - -78)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wbzzcebwrcrrreer. What is prob of sequence ecz?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -7*w**2 + 2*w**2 + 3*w**2. Let z(n) = n. Let h be z(2). Let s(g) = 1 - 2*g**h - 1. Give r(s(l)).\nAnswer: -8*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -44 + 36 - 6*s**2 - s**2 + 5*s + s**3. Does 26 divide f(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 s, and 1 t when three letters picked without replacement from {b: 2, f: 5, s: 2, t: 3, z: 6}?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 - -17) + 30 + 8 + -11?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11178297 divided by -39.\nAnswer: 286623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = 2*r - 42, 472*q - 468*q + 3*r = -73 for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5*l = 266 - 223, -5*k - 5*l = -160. Solve -p + 4*p = -4*w + k, -3*p = w - 14 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 300174131?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -956, -958, -962, -968, -976, -986?\n\"Answer: -j**2 + j - 956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -m + 6, -3*t + 1 + 6 = 2*m. Suppose v = m + 1. Suppose 6*q - 4*o - 21 = q, -15 = -v*q + 3*o. What is the remainder when 3 is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -511387\/71358 - 2\/11893. Let d(w) = -5189*w**2 - 1. Let v be d(1). Let g = v + 41593\/8. Calculate the common denominator of g and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 772, 1524, 2244, 2908, 3492, 3972, 4324, 4524?\nAnswer: 4548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2089173*y**4 + 3908624*y**2 wrt y.\nAnswer: 50140152*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -127, -112, -93, -70?\n\"Answer: 2*r**2 + 9*r - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2c050 (base 14) to base 6.\nAnswer: 2204250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 2*p**2 + 340*p**3 - 1012*p**3 + 327*p**3 + 330*p**3 in the form j*p**3 + w*p + g*p**2 + x and give x.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5*q - 18 = 0, 5*q + 3 = -4*y - 0. Suppose -4*z - 3*w = 45, -12 = 5*w + y. Calculate the common denominator of 2\/z*-1*-12 and 3\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -3*x + 22. Let c be 2*(-3)\/(-2)*32\/(-12). Let y be u(c). Round y to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7635598 or -7635603?\nAnswer: -7635603","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 571509 to the power of 1\/3, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65687 is divided by 9359?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.9 in 35, -4, 2\/11, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 7*z**2 - 1. Let j be v(1). Suppose 0 = 2*s - 4*o - 24, 4*s + 2*o = j + 2. What is the units digit of 12\/s + (-2 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, v: 4, c: 2, j: 2, l: 3, i: 1}. Give prob of picking 2 c, 1 i, and 1 v.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/7? (a) 225 (b) 0 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**4\/3 - 92*m**3\/3 - 1144*m**2\/3 - 1936*m\/3.\nAnswer: -2*m*(m + 2)*(m + 22)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -55 - 2*i**3 + 60 + 3*i**2 - 10*i - 5*i**2 + 0*i**2 in the form c*i**2 + y + j*i**3 + p*i and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(1*(sqrt(33) + sqrt(528)) + sqrt(3300)*1))\/(sqrt(88)\/(sqrt(64)\/(sqrt(8)*1))*-3))**2.\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 6, p: 7, h: 2}. Give prob of sequence pp.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 41237970931 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3*z - 8 - 6*z**2 + 4*z + 7*z**2 - 3. Is q(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 761*c**3 + 13*c**2 - 24*c + 56. Let t(s) = 381*s**3 + 6*s**2 - 11*s + 26. Calculate -6*f(w) + 13*t(w).\nAnswer: 387*w**3 + w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 245650500.\nAnswer: 2, 3, 5, 79, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 82, -4, -6 in decreasing order.\nAnswer: 82, -2, -3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 37707 - 21?\nAnswer: 37686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8\/13 in -4, -0.08, -3.46, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -588 + 216 = -18*q - 13*q for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*w = 40*w + 1380. Let g(b) = 19 - 11*b - 4 - b**2 - 3*b. Let l be g(w). What is the highest common factor of l and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -12 + 5 + 20*f + 7 - 4*f**2 = 0?\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -60340405?\nAnswer: -60340407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a kilometer in meters?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04226 rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 0 + (100\/(-40))\/(10\/(-8)) and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 31 - 1?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 1:51 PM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, m: 2}. Give prob of sequence mhhh.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -1. Let d be (36\/(-8) + 5)*-18. Let j be 93\/(-124)*60\/d. Sort 2, s, j in decreasing order.\nAnswer: j, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.83 + -0.13. Let l be (1\/(-5))\/(3\/(-15)*-8). Which is the second biggest value? (a) l (b) -3\/2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 120.00209 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.4701 - 0.1701. What is the second smallest value in 0.2, 0.5, 1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -25*j - 717. Let i be h(-33). Calculate the greatest common factor of i and 186.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -6*o - 1. Let d be j(-2). Let x(t) = -7*t**2. Let i(y) = -328 + 653 - 325 - 13*y**2. Let w(c) = d*x(c) - 6*i(c). Let r(q) = -7*q. Determine w(r(g)).\nAnswer: 49*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1089)\/55)\/(78\/130)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 1, -5, -1239 in ascending order.\nAnswer: -1239, -14, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 275 and 5016.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - 8*w**2 - 12*w + 11. Let z be x(9). Find the common denominator of (7\/z)\/(-7) - -2 and -75\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s - 8. Let v be 7\/(28\/(-8))*4. Let h be o(v). What is the second derivative of h*u**5 + 4*u**5 - 10*u**5 - 8*u wrt u?\nAnswer: -120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**(1\/15)*t)\/t)**(-2\/73))**31 assuming t is positive.\nAnswer: t**(-868\/1095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 - 39\/9)*63. Does 69 divide (-2 + -17 + -4)*x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 8*c. Let b(w) be the second derivative of -w**7\/1260 - w**4\/12 + 9*w**2 - 12*w. Let t(l) be the third derivative of b(l). Determine g(t(x)).\nAnswer: -16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c**2 - 6*c**3 + 4*c**2 - 5 + c + 5*c**2 + 5*c**3. Let t be j(7). Which is greater: t or 0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -30263.378 to the nearest 10.\nAnswer: -30260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32148 and 194541?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.4 - 1.6. Let p = s + 4. Which is the biggest value? (a) 0.3 (b) 3 (c) 1\/4 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 451\/(-22) + 6\/2 + 93\/(-62).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -5, 8, -39, -3 in decreasing order.\nAnswer: 8, 2, 0, -3, -5, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -132 + 55. Let o = f + 48. Is -31 bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1615 (b) 0.3 (c) 2\/7 (d) 6\/19 (e) 4 (f) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 45\/8 of a microgram?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/5076 and 25\/219.\nAnswer: 370548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 579775093 to the power of 1\/5, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*a*q**2 + 57*a + 2206345*q**3 + 57830 wrt q.\nAnswer: 6*a*q + 6619035*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -841, -3, -6\/5737, 3\/8, 3 in ascending order.\nAnswer: -841, -3, -6\/5737, 3\/8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 + 7*c + 8. Let n be t(8). Suppose n = -4*p + 5*x + 70 - 10, -5*p + 38 = 3*x. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 880 + 2636 = -4*t, -d + 441 = t. Suppose 3*r + 5*b = d, -3*r + 578 = r - 2*b. Let k = -87 + r. List the prime factors of k.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9040 + -8672. What is the least common multiple of 736 and s?\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of 2221*o**3\/3 + 2065*o + 1787. What is the first derivative of c(g) wrt g?\nAnswer: 4442*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00130188164 to four dps.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13 - 1142132?\nAnswer: -1142145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 o when three letters picked without replacement from zzoohhulzzzzozzy?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**3\/7 - 40018*v**2\/7 + 128301680*v\/7 + 775177818336\/7 = 0.\nAnswer: -2943, 11476","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 850 = -5*d, -560 + 1994 = 5*x - 4*d. Let v = 360 - x. What is the highest common factor of 70 and v?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12495077?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(20) + -5.\nAnswer: -8*sqrt(5) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 + 568*i. Let r(s) = 34*s - 4. Let d(j) = -10*j + 1. Let m(x) = -4*d(x) - r(x). What is o(m(a))?\nAnswer: -36*a**2 + 3408*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/11, -2\/215, 70?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3785336 and 184.\nAnswer: 87062728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 2.8. Let z = -0.5 + r. Is -2 smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -7*m**2 - 1263*m - 43. Let a(x) = 2*x**2 + 421*x + 13. What is 10*a(p) + 3*s(p)?\nAnswer: -p**2 + 421*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**1*l*l**1)\/(l**(1\/9)\/(l*l**2)) assuming l is positive.\nAnswer: l**(53\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 20 = -4*n, 0 = 747*k - 739*k for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -62*j**2 + 2267*j + 1048. What is o(37)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 z when three letters picked without replacement from nnnzzsnsosno.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5.33 in 0.4, -2, -6\/13?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - b + 15, -2*d + 3*b - 7 = 0. Is d at least as big as 5\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 r when two letters picked without replacement from {j: 1, a: 1, h: 1, r: 1, l: 1, s: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9954735 rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1194)\/(-33) + (-10)\/55. Let u = 37 - j. What is the nearest to u in 1, 3, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-5)*p**7)**(-17) assuming p is positive.\nAnswer: p**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00114187 rounded to 5 dps?\nAnswer: -0.00114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of -o**5\/30 - 5*o**4\/9 + 32*o**3\/9 + 128*o**2 - 27*o + 35. Find r, given that j(r) = 0.\nAnswer: -8, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26 - -10. Let c = 37 - a. Let k(w) = -w - 2. Let h(z) = z. Suppose 2*v = -5*t + 1 - 2, 4 = -4*t. Determine c*k(r) + v*h(r).\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119 + 117 = 4*y. What is the remainder when y is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 335\/10 + 12\/(-8). Solve 4*o = -12 + q for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -228 - -230. Solve -5*d - 2*z + 6 = h, -z - 1 = d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.8 and -888447.\nAnswer: -888445.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) - (sqrt(275) + -4 + sqrt(275) + 3)**2) + 3 + (-2 + sqrt(275))*-3 + sqrt(275) + ((sqrt(275) + 2 + sqrt(275))**2*5 - sqrt(275)).\nAnswer: 210*sqrt(11) + 4428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 249 by -83.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) - (-4*sqrt(153) + sqrt(153)) - sqrt(153))\/sqrt(9) + (4 + sqrt(2057))**2.\nAnswer: 91*sqrt(17) + 2073","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -58 + 61. Solve t = -3*w - 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 AM and 9:32 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 289, 589, 1415, 3031, 5701, 9689, 15259, 22675?\n\"Answer: 44*z**3 - z**2 - 5*z + 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1113?\nAnswer: 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aapoosdpoosa. Give prob of picking 2 p.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 17905*m**3 - 5 - 30*m + 33*m - 17898*m**3. Suppose 4*r + 4*i - 28 = 0, 3*i - 23 = -3*r - i. Let x(s) = -3*s**3 - s + 2. Give r*x(u) + 2*z(u).\nAnswer: -u**3 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -6*k - 5. Let j(r) = 4*r - 1. Let z(h) = 5*h - 1. Let n(g) = -6*j(g) + 5*z(g). Suppose 5*c + 10 = 2*f, 5*f - 2*c - 3*c = 25. Calculate f*n(x) + p(x).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 48590235, 97180472, 145770709, 194360946, 242951183, 291541420?\n\"Answer: 48590237*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 80\/(-20) - (-9 + -1) - 11. Let m(t) = 7*t + 5. Let i(c) = 4*c + 3. Give l*i(b) + 3*m(b).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 38, 43, 52, 77, 130, 223, 368?\n\"Answer: 2*u**3 - 10*u**2 + 21*u + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 - 7*x + 1. Let j be w(-7). Let v(i) = -4*i**3 + i. Calculate v(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -37872 - -38572. Calculate the least common multiple of 10 and l.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 644.9 + -802.9. What is the smallest value in -1\/3, 9, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2260.\nAnswer: 2, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1302 and -1.9.\nAnswer: -2473.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -12 - 4 - (-49 + 79 - 93)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 289 - -6 - (2 - (-1 + 3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147444415 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100111 + 10011100111?\nAnswer: 10010000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 - 11. Let s be (-11)\/k - (-27)\/18. Let d = -0.2 - 0.3. Which is the closest to s? (a) 1\/3 (b) d (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.16 + -15.84. Let v = 2 + z. Let u = v + 13. Which is the smallest value? (a) -0.5 (b) 3\/4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37351 + 17320 = -1170*c - 966*c - 41449 for c.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/3*((-234)\/(-65))\/18.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 555 divide 25865945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 6 = 2*k. Suppose 0 = k*q - q - 3. Solve -28 = -4*o - o - 2*l, -l = -q*o + 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/9 (b) -3.439 (c) -414\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 119723?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 26)\/((-3118)\/9354)?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18837 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 4833*k**3 + 4 + 0 + 4822*k**3.\nAnswer: -11*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10322722.\nAnswer: 2, 23, 349, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of -5*v**8\/336 + 22*v**5\/15 + 3483*v**4\/8 + 3*v**2 + 390*v. What is the second derivative of p(l) wrt l?\nAnswer: -100*l**3 + 176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u - 2. Let j(y) = 4*y - 8. Let c be j(5). Suppose -c = -i - 5. Give z(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48245060 and 274555?\nAnswer: 6385","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - 1001000010100010101?\nAnswer: -1001000010100011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 34.7, -31\/5, 0 in increasing order.\nAnswer: -31\/5, -2, 0, 3, 34.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25361 and 360916014?\nAnswer: 3623","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 87326.26s?\nAnswer: 87326260000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 (base 9) in base 11?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 150737 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 15\/7 - 5\/35. Find the third derivative of -8*f**3 - m*f**3 - 4*f**3 + 6*f**3 + 5*f**2 wrt f.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25286 is divided by 4935.\nAnswer: 611","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/3, 0.1, 0.6, -2\/85, -0.1?\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 363693 greater than 363694?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/3632 and -21\/42676.\nAnswer: 170704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -3*c**3 - 22771629*c**2 + 22771638*c + 45543264 = 0.\nAnswer: -7590544, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1980.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-2)\/(-4)*-5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 18 = -y + 3, 3*f = 2*y + 2. Suppose -q + y*n = 5, 2*n - 2 = -2*q - 0*q. Solve -r = q, 0*g + 3*g - 2*r = -9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a hour in seconds?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.62848 rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1550129 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - 13411?\nAnswer: -13412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(160)*1 - sqrt(160) - 3*sqrt(80)\/sqrt(2))\/(6*((sqrt(72) - sqrt(72)*-2) + sqrt(72))).\nAnswer: -sqrt(5)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 PM and 4:10 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 5*z + 24. Let r be (-4)\/(-9)*z\/6. Let y(f) = f**2 - 5*f + 3. Let a be y(4). Is a greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7398*k**2 - 10893*k**2 - 9705*k**2 + 10128*k**2.\nAnswer: -17868*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/7, -26, 86, -1, 28, -0.5, 6\/11?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o*o\/o**2))**19)**(-2\/105))**(9\/8) assuming o is positive.\nAnswer: o**(-57\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1247, -2491, -3735?\n\"Answer: -1244*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 7) in base 5?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 PM and 1:23 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 4 + 16. Let d(s) = -s**3 + 2*s**2 + 0*s**2 + 3*s**2 - 5*s - s + f. Calculate d(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -4 and -1010205 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145276992?\nAnswer: 2, 3, 7, 137, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -31*p**3 + 2*p**2 - 1. Let u be n(-1). Let v = u + -13. Does 7 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10325 - 10?\nAnswer: 10315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28934\/5106)\/(17\/1).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165 = -48*t - 15*t + 150 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**2 - 2*n**2 - 2*n**2 + (-n**2 - n**2 + 4*n**2)*(-1 - 2 + 1) + 5*n**2 - 2*n**2 - n**2 + (13*n - 6*n + 8*n)*(3 + 4 - 9)*(5*n - 2*n + 0*n).\nAnswer: -95*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)*1*-6)\/((sqrt(1296) - sqrt(1296)*-2)*-6).\nAnswer: sqrt(5)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - h + 2*h + (-3 + 5 + 0)*(-h - 4 + 4) - 2*h - 3*h + 6*h)*(-7597*h + 4941*h + 4993*h).\nAnswer: 2337*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/15*g**2 + 0*g + 0.\nAnswer: -2*g**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*c**4 - 12*c**3 + 511270*c**2 - 72422469*c?\nAnswer: -60*c**2 - 72*c + 1022540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 10 = -5*y, -4*o = 9*y - 10*y - 20 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 29*i = -7176. Is 23 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 6 = 1. Suppose -i - r = -10. Suppose 4*k - i = -3*o, -9 = -4*k - 2*o + o. Solve 0 = 2*v - 2*y + k*y + 5, -2*v = 4*y + 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 4*b. Let v(k) = -3*k + 2. Let p = -12 - -3. Let f(x) = -13*x + 9. Let m(w) = p*v(w) + 2*f(w). Let u = -11 - -6. Give u*m(y) + o(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37567 is divided by 157.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/876 and 31\/24.\nAnswer: 1752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1220690 is divided by 2806?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -14*q**2 - 6*q - 6 - 12*q**2 + 22*q**2. Let s(l) = 5*l**2 + 6*l + 5. Let o(a) = -5*s(a) - 6*u(a). Let m be o(7). Solve 0*t + 4*t = m for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (-24)\/(((-234)\/(-12))\/(-13))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1478 + 1838. Calculate the highest common divisor of i and 504.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1612.03 * 25\nAnswer: 40300.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 7*n + 5*n)*(-2 + 0 + 0) + n + 3*n - 3*n.\nAnswer: -19*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine fifths of a day in minutes?\nAnswer: 14112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -17*j**3 + 37*j - 13. Let c(k) = k**3 + k. Let d(n) = 14*n**3 - 12*n + 6. Let w(r) = -6*c(r) + d(r). Determine -6*a(l) - 13*w(l).\nAnswer: -2*l**3 + 12*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 52809 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -3. Suppose p - 7 = -2*n. Solve 2*q - 2 = -2*b, -3*q - 4*b + 4 = -n*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 + 12 + 18 - 1935*d - 11103*d.\nAnswer: -13038*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4880740650.\nAnswer: 2, 3, 5, 32538271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55433.\nAnswer: 7, 7919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -93*y**3 - 91647*y + 30*y**3 - 7*y**2 + 91650*y - 2 + 3 in the form k*y**3 + j + i*y + t*y**2 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195*i + 2905 = -188*i - 90*i for i.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 19. Is 1 at most h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -495 + 457 + -9 + -37?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/15 + ((-25792)\/(-12))\/1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3075944 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/833 and -31\/952.\nAnswer: 6664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -388972 divided by 94.\nAnswer: -4138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = 3*p + s - 20, 0 = 5*p - 4*s - 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8041?\nAnswer: 11, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 306101114 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 3*z + 10. Let r be k(5). Let g = -23 + r. Suppose -249 = -4*w - h, -g*w + 3*h = -130 + 9. What is w rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(16\/23))\/((48\/(-1296))\/(12\/(-27))).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = w + 2*c - 3, -4*c + 12 = 5*w. Suppose -330*i = -329*i - 2. Suppose 5*y = i*r + y - 78, w = -r - 2*y + 23. List the prime factors of r.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -203, -4, 2\/9, 31\/6, 1\/2, -40?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8674*i - 8672*i - 4. Solve 8 = -i*l, 4*w - 2*l + 4*l = 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -1660*g**2 + 507969*g - 2748. Determine w(306).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 11 = -3*b + 2*b, 0 = 5*b. Does 11 divide (-2)\/a + 3750\/66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k + 5. Let u be w(0). Suppose 12 = u*v + 2. List the prime factors of 18 + (v - 5) + 2.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -97712677577 and 11.93.\nAnswer: -97712677565.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v + 4. Suppose -y - 2 = -3*o - 11, y + 5*o = -15. Suppose 65 = 3*j + 2*z, z + y*z - 106 = -5*j. What is the remainder when j is divided by i(7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aqagqgattgga. What is prob of picking 1 t and 1 q?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2 = 1, 195 = -n - 3*t. Let b = n + 1037. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86208.18 millilitres to litres.\nAnswer: 86.20818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.039 + 2.059. Let j = -2.0199857 + y. What is j rounded to 6 decimal places?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k. Let h(o) = 2*o. Suppose 2*w - 20 = 4*q, -2*w + q + 13 = -4. Let b(c) = w*n(c) + 3*h(c). Let t(v) = 246*v**2. Calculate t(b(g)).\nAnswer: 984*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8569?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 12 = -3*d - 0*n, -4*d + 4*n + 12 = 0. Suppose -2*l - 4 + d = 0. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -495.324 rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46389610, 185558440, 417506490, 742233760, 1159740250, 1670025960?\nAnswer: 2273090890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 19, -4, -49, -122, -229?\n\"Answer: -d**3 - 5*d**2 - d + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x + 1. Let s be o(2). Suppose s*r = r + 4*r. Solve -4*f + 5*m + 3 = 0, 4*f + r*m = -5*m - 27 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 6 (c) -39\/541 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -886*i**3*q**2*w - 13*i**3*q*w**2 - 45*i**3*w - 82141*i**2*q**3*w**2 + i*q**3 + 11*i*q**2 - 11*i*q*w wrt w?\nAnswer: -26*i**3*q - 164282*i**2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 190 in 4, 2\/29, -1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 1 + 2)*(0*p**2 - p**2 + 4*p**2) - p**2 + 4*p**2 - p**2 in the form o*p**2 + u*p + m and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 12 - 2 = 0. Let g = -24 + 14. Let y = g + 16. Calculate the lowest common multiple of i and y.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9473 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 155 and 217?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)*1)\/sqrt(6) + 4.\nAnswer: 4 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 509 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (17 + 15) - -11\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 11*u + 1. Let c be m(7). Let a = c - 77. Is a at least 2\/153?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -225*c - 5. Is n(-4) 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 -550406, -550403, -550400?\nAnswer: -550397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + -56. Let o = 66.971 + k. What is o rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*-3*((-5)\/(-6))\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 12145 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -43386 divided by -6198?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 13. Let g = 0.7 - 4.7. Let y = -4.4 - g. What is the second biggest value in j, y, 4\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27066 and 442.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -135.1, 2\/9, 3\/8, -1?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 688?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-2100)\/(-176) - -18*80\/(-180)\nAnswer: -3\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -11486211 divided by 348067\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.51 and 4512.5376.\nAnswer: 4513.0476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 1\/3 (b) -2 (c) -267\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*v**3\/5 + 1638*v**2\/5 + 1552*v\/5 + 352\/5 = 0.\nAnswer: -4\/9, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.258 + -33275?\nAnswer: -33302.258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16190 - 16190. What is the closest to -4 in 3\/2, c, 162, 1\/6?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 854*b + 11189 = -1483 - 7964 - 5838 for b.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gfwgcll. Give prob of picking 1 w and 1 f.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 142657724 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 90 - 10. Let o = q - 79. Let x(b) = b**2 + 2*b - 2. Calculate the remainder when x(o) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 AM and 5:45 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -0.244997?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/42 in 0.4, -2\/3, 610, -3, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -225*n + 2. Suppose 0*q + 3*q + 18 = 0. Let s(g) = -225*g + 2. Let f(p) = q*s(p) + 5*h(p). Is f(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 3:47 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 8*p**2.\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xjx when three letters picked without replacement from xxjxxjjxxxjjxjjxjxxj.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 28*l**2 - 66*l + 1848. Determine t(28).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + 62*n**2 - 202*n - 197. Does 58 divide x(-65)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.02 - 2.02. Let d = 16 - 10. Let j = -6.3 + d. Sort -5, j, u in descending order.\nAnswer: j, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1873509 * 3.\nAnswer: 5620527","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**3 - 61730*p**2 + 61730*p**2.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1483?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -131*n**2*x**2 - 22*n**2 - 3964*n - 365*x**2 wrt x?\nAnswer: -262*n**2*x - 730*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 1 + ((-8 - -18) + -9 - -13).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001298533 rounded to five dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -33 - -53. Suppose -17 = -u + a. Is u a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6608259 from 5595.\nAnswer: -6602664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -96.943 - -97. What is i rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19819032*a**4 - 44*a**2 - 75*a + 158?\nAnswer: -475656768*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 65047*k*q**4 - 9637*k - 3*q**2 wrt q?\nAnswer: 1561128*k*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -8 + 6, -3*t + 78 = 4*d. Let g be (-28)\/(-4) + (d - 21). Suppose -2\/5*u**2 + 0 + 2\/5*u**3 + 2\/15*u - 2\/15*u**g = 0. What is u?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82 (base 15) to base 13.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 20*j. Let p be t(1). Let s be 1*-20*((-12)\/(-10))\/3. Let w = p + s. Does 3 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 962444?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2581, 2583, 2587, 2593, 2601, 2611, 2623?\nAnswer: 2637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(800) - sqrt(800)*-2))\/(sqrt(1000)*-2).\nAnswer: -12*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + 4*h**2 + 5*h - 2. Let u be 20*(18\/15)\/3. Let o = -5 + u. What is the tens digit of z(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 19 = y, -3*y + 0*y = 2*n + 24. Let u(z) = -z - 5. Let a be u(y). Suppose 542 = a*r + 137. Does 27 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 3*sqrt(700) - (-6*3*sqrt(700) - sqrt(700)))**2 + -3)*6 + 1.\nAnswer: -5280*sqrt(7) + 2032807","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18820.28nm to micrometers.\nAnswer: 18.82028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 5914*p. Let s(n) = -137*n. Calculate s(j(f)).\nAnswer: -810218*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000068048827 to seven dps.\nAnswer: -0.000068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 0. Suppose -2*f - 12 = -5*f. Suppose -48 = -7*o + f*o. Solve 2*q + o = -3*a, a + q + 7 = -j*q for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -3*t**2 + 1881731058*t - 295075981220149947 = 0.\nAnswer: 313621843","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 AM and 5:20 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 8*u**3 - 2*u**2 + u - 1. Let a be z(1). Solve 0*i = v + i + a, -6 = -4*v + 2*i for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -5*s**3 + 55*s**2 - 287*s + 824. Give y(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 - 1. Suppose 9*j = x*j - 325. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 443?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-2 - (-1 + (1 - 4)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ini when three letters picked without replacement from nnniccciicncnnnn.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3*k**2 - 6*k + 378. Let v(l) = 5*l**2 + 10*l - 566. Determine 8*u(c) + 5*v(c).\nAnswer: c**2 + 2*c + 194","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 6*x = -56. Calculate the lowest common multiple of x and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12.76 - 7.57. Let q = 5.6 - o. What is the third smallest value in -2\/5, q, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10488 and 265554?\nAnswer: 464188392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 165 - 168 = c, -3*c = -124*j + 129*j - 31 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3394880.28 and -0.2.\nAnswer: 3394880.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(288)*1 - -1*sqrt(200).\nAnswer: 22*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*w**4 - 2 + 2 + 2*w**4 - w**4 + w**4 + (40 - 12*w - 40)*(-w**3 - 3*w**3 + 5*w**3) as k + g*w**3 + c*w**4 + r*w + t*w**2 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -9, -0.3, 0, -203, 4\/5, 218, 2?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1353 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: Is 2232459988 a multiple of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)\/(sqrt(256) + sqrt(4) - sqrt(4)) - sqrt(143)\/sqrt(891)) + ((-1*sqrt(416))\/sqrt(8))\/(sqrt(12)\/sqrt(75)).\nAnswer: -359*sqrt(13)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**2 + 4*f**2 - f**2 + 22*f**3.\nAnswer: 22*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + 129f?\nAnswer: 129d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 + 59*v + 688. Let x be m(-15). Let j be (-1182)\/(-14) - (-15)\/(-35). What is the highest common factor of j and x?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -98, -271, -560, -965, -1486, -2123?\nAnswer: -2876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 5*c**2 + 3*c. Suppose 4*q + 2*j - 2 = 0, 4*q - j - j = 22. Is 18 a factor of b(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 25 - 60. Calculate the highest common factor of u and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17162315.\nAnswer: 5, 89, 38567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/2 - 3\/(-3). Let w(u) = 2 - 1 + 2*u - 2*u**2 - u**2 + k*u**2. What is w(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 PM and 1:58 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39 + -37.8. Let t = f - 2.2. Let p = -248\/711 - -10\/79. Which is the fourth biggest value? (a) t (b) -0.6 (c) 4 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -4*d + 22, -49*i - 21 = -5*d - 53*i for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 519\/110 + -42\/11. Calculate the common denominator of o and 23\/2*(-4)\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b + 9. Let r(w) = -w - 27. Let f(x) = x**3 - 11*x**2 + 3*x + 3. Let d be f(11). Suppose -d*t + 40*t = -76. Let u be r(t). What is q(u)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7900609 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: (-3 - -2) + (-2 - (1 + -5))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6160\/3 + -12317\/6. What is the biggest value in -73, m, 1, 0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 20227286, 40454577, 60681870, 80909165, 101136462?\n\"Answer: r**2 + 20227288*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*r + 1 + 37*r + 0*r in the form a*r + i and give a.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in 0, -134, 17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21014, -41991, -62968, -83945, -104922?\nAnswer: -125899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 PM and 7:29 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -392826342 by 6.\nAnswer: -65471057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1086328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 156*i - 14*i + 56 + 144 - 18 wrt i?\nAnswer: 142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 3113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7 + -5541 - 6)\/(-2). Solve 2788*p - q*p = -66 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -479*t - 479. Let l be c(-1). Solve -4*s + 44*k - 6 = 46*k, l = -2*k + 10 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -36*i + 38*i. Suppose -i = 5*k + 8, -5*k - 36 = w. Let u(v) = -v - 4. What is u(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -7*c**3 + 2*c**2 + 6*c + 8. Let y be 60\/65*13 + 1\/1. Let k(f) = 15*f**3 - 4*f**2 - 13*f - 17. Determine y*t(o) + 6*k(o).\nAnswer: -o**3 + 2*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*h**2 + 20*h**2 + 18*h**2 + 21*h**2 + 20*h**2.\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -283*u - 10 + 0 + 7 + 4.\nAnswer: -283*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138*o - 135*o = 2838. Is o a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.37 - -0.13.\nAnswer: 3.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 49790 a multiple of 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 10, -4, -375 in increasing order.\nAnswer: -375, -4, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 7*r**3 - 8*r**2 - r - 3. Give u(4).\nAnswer: 313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 5*a - 33, -30 = -4*a - x - 12. Find the third derivative of -11*v**2 + v**5 - 9*v**a - v**2 wrt v.\nAnswer: -480*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 328 = -2*y - t, -4*t = 2*y - 328. Calculate the remainder when y is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 328766103?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 PM and 10:07 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of -3*o**6\/20 - 7*o**3\/3 + 27*o**2. What is the derivative of h(r) wrt r?\nAnswer: -54*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -510 or -520?\nAnswer: -520","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -6*i - 3. Let y(m) = 7*m + 4. Let g = -21 + 27. Give g*w(j) + 5*y(j).\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 276.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of -3*o**2 - 2*o + 1. Let i be 0*4\/(-8) + (-42)\/(-7). Let k(v) = -7*v - 2. What is i*m(t) - 5*k(t)?\nAnswer: -t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -3*w - 14, -2*c = -3*w + 2*c + 2. Let z = 7 + w. Let f = -14 + 8. Put z, f, -1 in descending order.\nAnswer: z, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/2))**9*y**3\/y**(-7))**(-5) assuming y is positive.\nAnswer: y**(-145\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2, 22, 68, 152, 286, 482?\n\"Answer: 2*c**3 + c**2 + 3*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 5 (b) -0.2 (c) -0.1 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -572 + 571 + (-85 - (4 + -2)).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 56443 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 16068574?\nAnswer: -8034287","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -822.7 to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is aa + -5a579?\nAnswer: -5a48b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3930?\nAnswer: 2, 3, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15b (base 13) to base 9.\nAnswer: -302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 266393051.\nAnswer: 266393051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 3*g + 21, 0 = 2*o - 5*g - 1 + 8. Let t be (120\/(-32))\/(o\/96*-2). Solve -t = -4*h - 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1057896?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2963 + 5?\nAnswer: 2968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158515 is divided by 319.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (28\/(-10) + 2)\/(3\/(-15)). Let l(q) be the second derivative of -q + 0*q**3 - 2*q**2 + 0 + 1\/3*q**o. Find the first derivative of l(u) wrt u.\nAnswer: 8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 8*n = 40. Put 3, n, 4, -3 in increasing order.\nAnswer: -3, 3, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -208*r + 853. Is j(-33) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6613968645 to the power of 1\/2, to the nearest integer?\nAnswer: 81326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/4 and -113\/7062.\nAnswer: 14124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004754497 rounded to 5 decimal places?\nAnswer: -0.00475","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b*l**4 + 2140*b*l**3 + 4476*b*l wrt l.\nAnswer: -12*b*l**2 + 12840*b*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.26395*-0.3\nAnswer: 0.079185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 135572?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 4 - (-886 - -888)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = a - 4. Let m = a + 1. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 2 - 0. Let u be 6 + 1*-2 + v. Suppose 3*c = 2*c + 3. Which is greater: u or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jbbjmkmmufju. What is prob of picking 2 u?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q**2 - 45*q + 175. Determine p(6).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 85 = -1813*h + 1860*h, 4*h + 5 = f for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -545\/3 - -182. Which is the nearest to -1\/2? (a) -0.2 (b) -5\/2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29199 + 29191.96755. Let d = -7.05 - x. What is d rounded to 3 dps?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -17 + -6704?\nAnswer: -671b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18.3? (a) 0.048 (b) 3 (c) 0.2 (d) -0.2 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 137, -0.725, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 AM and 3:46 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 1. Let l(t) be the first derivative of -t**2 + 6*t + 8. Let y(w) = 6*h(w) - l(w). Let q(s) = 9*s. Give y(q(j)).\nAnswer: 18*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1515, 3039, 4567, 6099, 7635?\n\"Answer: 2*a**2 + 1518*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4324 is divided by 139?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2789 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5430739?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-1 - -2 - -8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -350 - -351. Let b(w) = 22*w**3 + 2*w**2 - 10*w + 9. Let x be b(q). Calculate the greatest common factor of x and 621.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + -237*(-3)\/(-3). What is the units digit of (z\/6)\/((-2)\/4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**4 - 54*i**3 - 56*i**2 - 5*i. Let a(z) = -2*z**4 + 52*z**3 + 54*z**2 + 6*z. Let t(l) = -5*a(l) - 6*n(l). Factor t(u).\nAnswer: -2*u**2*(u - 33)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-three fifths of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4294?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 561 (base 15) to base 14\nAnswer: 62c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.66 + 0.93. Let i = t - -12.73. Put 5, 2, i in decreasing order.\nAnswer: i, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -4*p - 36. Calculate f(-11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 0 - 3)*(22*c - 2*c + 4*c) in the form i + q*c and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*n**2*o**2 + 155*n**2*o - 20*o**2 wrt o?\nAnswer: 6*n**2 - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80888 divided by -40444.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15 + -301341?\nAnswer: -301322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 7040*k**2. Let v(u) = -2*u**2. What is p(v(q))?\nAnswer: 28160*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in six fifths of a millimeter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -304 (base 12) in base 4?\nAnswer: -12310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-4) - (-84)\/(-56). Let r be (-3 - b)*(-2 + -1). Let j(a) = 19*a + 11. What is the units digit of j(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1766 at most as big as -1182?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8813.242kg to micrograms.\nAnswer: 8813242000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 308993.\nAnswer: 193, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, -3\/40, -1\/9, -0.5, 1\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 203*p**2 + 11*p - 5. Is b(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a microgram in nanograms?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 7*p**2\/2 - 166*p - 96 = 0.\nAnswer: -4\/7, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 3*x - 9530, -5*n + 5904 = -x - 3646. Let q = -20 - -22. Suppose -393 - n = -q*y. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1493.6881 + 2.4119. What is g rounded to the nearest 10?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -131 - -107. Let o be 1\/((-177)\/(-913) + i\/132). Suppose 3*v = 4*r + r - 391, -r + 3*v + o = 0. Calculate the highest common factor of 7 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 2 = -r - 20, -5*r = -k - 6. Suppose -4*g + 84 = -k*y, -2*g + 96 = 3*g - 2*y. Solve 0*j - j - 25 = 5*z, 0 = -2*z - 2*j - g for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.1 - 1.8. Let l = s + 0.697. Round l to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 625?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -192 + -3b500?\nAnswer: -3b692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -5*o**2 + o + 542. Let j(s) = -9*s**2 + 2*s + 1076. Determine -7*g(x) + 4*j(x).\nAnswer: -x**2 + x + 510","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.41 - -0.01. Suppose 3*w - 3*u + 2 + 1 = 0, 0 = 4*w + 4*u + 20. Let y be 2\/w - (-17)\/((-2907)\/(-78)). What is the biggest value in -0.2, y, c?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 60 = 9*j. Differentiate -3 - 3 - 9*t**3 + j*t**3 with respect to t.\nAnswer: 33*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3181, -3142, -3101, -3058, -3013?\nAnswer: -2966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1166710377856447.88000019 - 1166710540164463.8. Let r = f + 162308081.92. Let q = r - 66. What is q rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -277*x**3 + 709*x**3 + 5018*x**3.\nAnswer: 5450*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of -1\/4*h**4 + h**2 - 2 - 4*h + h**3. Determine i(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of w**2\/2 - 6*w + 3. Let p(d) = 7*d - 4. What is -4*j(y) - p(y)?\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*k + 5*r, 4*r - 3*r + 5 = 2*k. Suppose w = -5, 80 = -k*o - 4*w + 328. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 - (-4)\/(-5 - -1). Suppose 5*o + 5*p + 560 = 0, -o + 212 = -t*o + p. Let g be 20625\/(o\/32 - -3). What is g rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*o + 0*o + o**2 + (1036 - 1036 - 203*o)*(-5*o + 2*o + 5*o) + 7*o**2 - 14*o**2 + 4*o**2 + 2*o**2 - o**2 + 0*o**2 as f + k*o**2 + u*o and give k.\nAnswer: -407","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -8*c + 6. Let f(z) = z - 1. Let g(n) = -2*d(n) - 12*f(n). Let q be g(1). Let p be (q\/5)\/(4\/20). Solve 0 = -4*b + p, -5*m + b = -2*m + 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, 171, -1\/6, -8\/7, 20?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 14*v**2 - 5*v - 1. Calculate f(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 956 + -953. Let r(v) = -4*v - 2. Let a(y) = -y. Give l*a(d) + r(d).\nAnswer: -7*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34217 is divided by 865?\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-400)\/16)\/25 + (8 - -1)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27459.\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 379 + -374. Calculate the remainder when 390 is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 0 + -4 + (3 - 5)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xwh when three letters picked without replacement from {p: 6, t: 6, l: 2, h: 1, w: 2, x: 1}?\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + -1 - ((20 - 13) + -7) - -2?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 5*u + 14. Let t be l(14). Suppose -2*x + 133 = b, x + 2*b + 2*b - t = 0. Calculate the smallest common multiple of 10 and x.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 16*b**2 + 5*b - 24. Calculate the remainder when x(16) is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 538483?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-9)\/(-16))\/((-3)\/(-4)). Let n = -250 + 999\/4. Let k = 0 + 0.2. Sort n, k, m in descending order.\nAnswer: m, k, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -60*m - 139. Is k(-14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) + ((sqrt(110) - sqrt(110)*-1 - sqrt(110)) + sqrt(110) - sqrt(110) - sqrt(110))*-6 + sqrt(110) + sqrt(110))\/(sqrt(10) + sqrt(30)\/sqrt(3)*6).\nAnswer: 3*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 3*g + 402. Suppose 0*x - 108 = 4*x. Let p = x + g. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006643735 rounded to 6 decimal places?\nAnswer: 0.000664","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 139275111 to the power of 1\/2, to the nearest integer?\nAnswer: 11801","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 0. Let d = 14 - 9. Calculate the remainder when 2 + 13 + -2 - v is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of 6*x + 1\/2*x**3 + 0 - x**2. Let d be j(2). Solve 1 + 3 = d*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-153)\/(-45) - 3) + (-74)\/10.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (16\/(-6))\/((-10)\/15). Differentiate 3 - j*x + 0 + x + x wrt x.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23 - -34. Let q = n + -10. Let d = -32 + 32. Solve p = q - d for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k - 448. Let u(j) = 94*j. Give u(q(m)).\nAnswer: -94*m - 42112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**3 + 0*u**3 + 0*u**3)*(-6*u + 2*u + 0*u) - 1 + 2*u**4 + 1 + (2*u**3 - 5*u**3 + 2*u**3)*(-2*u - u + 0*u) + 4*u**4 + 10*u - 10*u.\nAnswer: 17*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + m + 143 = 2*m, -242 = -3*n + 4*m. Suppose 0 = v + 2 - 1. Is ((-1)\/v)\/(2\/n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 12373, 24749, 37079, 49369, 61625, 73853, 86059?\n\"Answer: i**3 - 29*i**2 + 12456*i - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of a**6\/720 + a**5\/72 - a**4\/24 + 605*a**2. What is g in s(g) = 0?\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 29944.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3994, -7979, -11964?\n\"Answer: -3985*s - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13566592 and 71424?\nAnswer: 244198656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1238 + 1687. Is 2 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 n when two letters picked without replacement from bjrnntrrnjbnrnnnb.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ekek when four letters picked without replacement from eeekeke?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -21238, -85036, -191374, -340258, -531694, -765688?\n\"Answer: -y**3 - 21264*y**2 + y + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31784969 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/3*108\/(-456)*4\/(-6).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1307508548?\nAnswer: 2, 73, 4477769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 952 and 535262?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 1. Let c be s*(0 + 2\/18). Let t = 58.1 - 58. Put t, c, 5 in ascending order.\nAnswer: t, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((3\/9)\/((-30)\/(-90)))\/((-1)\/(-20))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/13)\/5*(-97)\/(-97).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cechwdhdwdddnhwdc. Give prob of sequence cdh.\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/21 (b) 5\/206 (c) 1 (d) 2 (e) 1\/6 (f) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j - 5758 - 3012 = 0. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 4*m + 58*b - 55*b, 2*b - 3 = 5*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**3 - 57*s**2 + 247*s - 7956. Calculate m(29).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f + 19*f**2 - 1 + 17*f**2 - 2*f - 35*f**2. Determine n(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 549.5 - 544.5. Let l = -7 - -11. Which is the second smallest value? (a) -23 (b) l (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/3*12\/(-18). Suppose -5*a - 5 = -2*s, -4*s - s - 2*a - g = 0. Suppose k + k - 6 = s. Solve k*j - 1 = 4*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/4 + (-1)\/(-2) - -1. Let i(d) = -6*d + 3 + 6 - b - 2. Let g be (12 - -3)*(-10)\/(-30). Let x(r) = r - 1. What is g*x(m) + i(m)?\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -546, -1095, -1644, -2193, -2742, -3291?\nAnswer: -3840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 2855.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02213792 to 4 dps.\nAnswer: 0.0221","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38967 and 200701.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1233580 divided by 2\nAnswer: -616790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -107621.508 rounded to the nearest ten?\nAnswer: -107620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 2)*(-3*h + 2*h - 2*h + (5 + 1 - 5)*(-2*h + 0 + 0) + (7031 - 7031 + 153*h)*(-6 - 3 - 3)).\nAnswer: -3682*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 9:36 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4\/7, -1, -0.1, 49\/13 in ascending order.\nAnswer: -3, -1, -0.1, 4\/7, 49\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + 6*l - 4. Let s be w(4). Suppose 5*i = -2*t + 641, 9 = s*i - 11. What is the greatest common factor of t and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-20)\/(-3)*(-5 - (-11)\/(-2)). Suppose -q + 19 = -43. Let k = q - i. Does 44 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**10)**(-2\/47) assuming u is positive.\nAnswer: u**(-20\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 385334 is divided by 42715?\nAnswer: 899","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**3*j*j**(-8)*j)\/(j\/j**(1\/4))**(-1\/4) assuming j is positive.\nAnswer: j**(-45\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31572963?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -p + w + 10, 4*p = -4*w - 12. Let f = p + 9. Suppose 5*j - f*j - 15 = 0. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 85*b**3*p**4 - 25*b**3 + 2*b**2 - 3268*b*p**2 - 3*b - 126 wrt p?\nAnswer: 340*b**3*p**3 - 6536*b*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (120\/1120)\/(9\/2)*(-33)\/(-22)\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 204692923 to the nearest integer?\nAnswer: 589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1340313 + 2076890. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -0*d + 2. Let k(q) = -4*q**d + q**2 + q**2. Let n(z) = 5*z - 6*z + 3*z - 5*z. Calculate n(k(g)).\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8928 divided by 31.\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/4*(-4264)\/(-8528).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -189 - -285. Let t(b) = -b**3 - 2*b**2 + 2*b + 7. Let j be t(-3). Let y be (-40)\/6*(-18)\/j. Calculate the greatest common factor of y and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1090.3702 times 1?\nAnswer: -1090.3702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 186*a**2 - 11*a - 1076. Let b(o) = o**2 - o - 37. Let r(f) = 44*b(f) - 4*k(f). What is the derivative of r(d) wrt d?\nAnswer: -1400*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 6*h - 60. Calculate the common denominator of (-282)\/h + 3 + 1 and 39\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*z**4 + 662*z**3 - z**2 + 50617*z + 5 wrt z?\nAnswer: -36*z**2 + 3972*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14098061 rounded to 3 decimal places?\nAnswer: -0.141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 516\/9 + (-4)\/(-6). Suppose x*p - 80 = 56*p. Solve 10*t = 2*t - p for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -11*q. Let b(k) = -19*k - 3. Let g(t) = -3*b(t) + 5*j(t). Let r = -11 + 3. Calculate g(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6139 divided by 15683.\nAnswer: 6139\/15683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96 is divided by 2 + 1*(-31)\/(-1).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20157644 is divided by 272?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5\/744, -4\/7, 0.5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**4 - 2582*f**3.\nAnswer: 2*f**3*(f - 1291)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*g**3 - 14*g**3 + 52*g**3 - 16*g**3.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*g - 5*f, 2*g + 0*g + 3*f - 7 = 0. Suppose -4*k - 16 = 0, -2*d + d - 5*k = 23. What is the common denominator of 36\/7 and g\/d*(-207)\/(-60)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 8, -18 in descending order.\nAnswer: 8, 1, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 112473, 113026, 113947, 115236, 116893, 118918, 121311?\nAnswer: 124072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -47, -89, -165, -287, -467?\nAnswer: -717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + z**2 + z + 1. Let g(r) = -2*r**3 + 5*r**2 + 4*r + 4. Let y(j) = -j**2 + 23*j + 3055. Let w be y(-45). What is w*n(c) + g(c)?\nAnswer: -7*c**3 - c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*o - 31*o = -60*o - 12*z + 8, -7 = -3*o + 2*z + 5 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -1\/4, -5, -18, 5 in descending order.\nAnswer: 5, 0.5, -1\/4, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -e34c (base 15) to base 6\nAnswer: -1010113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 342 + 526 + 10*g - 868.\nAnswer: 10*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -2, 11\/4, -6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/2 (b) 2\/11 (c) -4\/7 (d) 3\/2 (e) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.19848 to 3 decimal places.\nAnswer: 0.198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.8 + 4.884. Round c to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = -5*r + 5*z + 79, -4*z + 22 = 2*r. Calculate the remainder when 518 is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -586 + 588. Let x = 29.3 + -29. Suppose -4*k = -0*k - 16. Which is the smallest value? (a) k (b) p (c) -5 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c + 1111 = -1804. Calculate the highest common factor of 159 and c.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -2*c - p + 7, p + 2 = 0. Suppose 7*z = c*z. Suppose w + z = 9. Solve -4*s + w - 21 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 434 is divided by 25.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 - -20. Let f(s) be the third derivative of 0 - 1\/42*s**4 - 1\/210*s**5 - 3*s**2 - 1\/21*s**v + 0*s. Factor f(t).\nAnswer: -2*(t + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 0. Let x = 11\/18 - 1\/9. Let g = -0.04 - -0.14. Which is the nearest to g? (a) -2 (b) x (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/16*-2*-6. Let t(o) = 7*o. Calculate the remainder when t(c) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26452131 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of o**4\/24 + 4*o**3 + 2*o**2 + 19. What is y(-28)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14558 is divided by 91?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 625523791 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/3 + 228\/(-18). Is v > -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -5*a - c, -4*a - 20 = -6*a + 5*c. Suppose 0 = 4*z - f - 1, -4*f + f = -a*z - 4. Let q(d) = d - 5. Let k be q(6). Is z < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/8035872 and -113\/64116.\nAnswer: 24107616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -2, 88, -5\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/4 - 221\/(-4). Suppose 3 = -4*u + n. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 60*r. Let w(i) = -11*i. Give -5*a(d) - 28*w(d).\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*s**6 + 47*s**2 + 57*s**2 + 13*s**6 + 7*s**6 wrt s.\nAnswer: 1800*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of -k**4\/12 - 2*k**3\/9 + 13. What is b in t(b) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -38572*h + 270012. What is n(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 9*f**2 - f - 4. Let y be j(-9). Let t be 6*4\/(-8) + y. Is 10 a factor of 8\/(-8)*(t\/1 + -28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -43 and 123205?\nAnswer: -5297815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1397 and 53823108.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 x when two letters picked without replacement from {r: 2, l: 2, u: 1, y: 2, x: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 32664169 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -14. Suppose 0 = -f*w + 5*w + y - 37, -148 = -4*w - 2*y. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of g**3\/2 - 12*g**2 + 2*g + 11. Let l be w(11). Which is the third biggest value? (a) 0 (b) l (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r + m + 4 = -4*r, -2*r = -5*m + 20 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34 - 25. Find the second derivative of -42*x**5 + 4*x + 11*x + u*x**5 wrt x.\nAnswer: -660*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h**3 - 4*h**2 + 4*h + 2. Let g be d(2). Solve 0*t = -2*t - g for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of -d**6\/60 - 13*d**5\/90 + 23*d**4\/9 + 32*d**3\/9 + 988*d**2. Let a(u) = 0. Calculate u.\nAnswer: -8, -1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5 + sqrt(252) + -4 - (sqrt(84) + (sqrt(84) - (sqrt(84) + 6*sqrt(84)))*-6)\/sqrt(12))**2 + -5 + -3.\nAnswer: 1674*sqrt(7) + 20416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -4, 1\/6, 19585, 0.2 in increasing order.\nAnswer: -4, 0.1, 1\/6, 0.2, 19585","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-1\/3))**(-1\/4))**(-37) assuming m is positive.\nAnswer: m**(37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -320534433 - -1?\nAnswer: -320534432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 + 104094880.\nAnswer: 104094879.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/6)\/(((-20)\/(-45))\/1)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 363397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -277.4 and 0.29.\nAnswer: -80.446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 57787817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 + 4*a + 4. Let v be x(-4). Let k = -6 + v. Let n be -2*k\/(-4)*4. What is the second biggest value in 0.2, n, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 496*d**2*f**2 - 95*d*f**2 - d*f wrt d.\nAnswer: 992*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 72 + 6. List the prime factors of z.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d**3 - 4*d**2 + 8. Calculate the remainder when 26 is divided by r(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -3*i**3 + 150*i**2 - 149*i + 88. Give g(49).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 555 - -61. Let j = -433 + u. Is j a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 112 = 3*z - 108, -5*g + 3*z - 2 = 0. Let h be (-4)\/(-12) + 1\/(-3). Which is the third biggest value? (a) 1.1 (b) g (c) -2 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31453221 is divided by 741?\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 0*l**3 - 2*l + 0*l**3 + 5*l**2 - 3 - l**3 + 1. Let n be p(2). Suppose 4 = 2*s + n. Put 0.4, 2\/7, s in decreasing order.\nAnswer: 0.4, 2\/7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or -142213027?\nAnswer: -142213027","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/3 or 12\/2897?\nAnswer: 12\/2897","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2298*c + 3823. Let l be n(-10). What is the greatest common factor of 49 and l?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 u when two letters picked without replacement from ujccj.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4220 and 9706.\nAnswer: 97060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**4 + 216*x**3 + 441*x**2 + 222*x = 0 for x.\nAnswer: -1, 0, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 264.47 - 267. Let g = -4.53 - r. What is the fourth biggest value in 10, g, -0.2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g**2 - 4. Let h(i) = -5*i**2 + 11. Let w(z) = -4*h(z) - 11*l(z). Let o(v) = v - v + v + 0. Determine w(o(c)).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + -17. Which is greater: j or 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 241948404.\nAnswer: -1\/120974202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*sqrt(162))**2 + 2.\nAnswer: 1460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 i when four letters picked without replacement from ggggggiiii?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*z + 30*z + 3*f + 18 = 0, 0 = -2*z - 4*f - 26 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l\/l**(-12))\/l)**(13\/5) assuming l is positive.\nAnswer: l**(169\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 212 divide 40676971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/12 - (-11)\/3. Let c(p) = 0*p - 5*p - 4 - 4*p**2 - p**3 + 0*p**3 - d*p**2. Determine c(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 + 1 + 1 + (-104024)\/17472. Let w = o - -2\/273. What is the common denominator of w and 31\/70?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 52 = 2237. Let w = -756 - c. Solve -b = -a + 6, -w*b + 3*b - 23 = -3*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-2 - 3) + 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 4*z - 25 - 15 = 0, 3*n + 5*z = 41. Suppose j = -55 - n. Let f = j + 97. Calculate the remainder when f is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -567\/8 - -1313\/24. Calculate the common denominator of v and 296\/18 - (-16)\/72.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -5*x + 14. Suppose c - 3*z + 6 = -1, -3*c + 3 = -z. Suppose 0 = c*a + 5*l - 20, a - 5*l + x = 2. What is the remainder when a is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*y + 178*y - 171*y = -4257 for y.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 9\/56*8.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j**2 - 160320*j - 1443285 = 0.\nAnswer: -9, 32073","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, y: 1, c: 3, m: 7, i: 4}. Give prob of sequence mmqy.\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q + 8*q + 6*q - 15*q + 18 = -2*w, -27*q = -270 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -12093 rounded to the nearest one hundred?\nAnswer: -12100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 40 (base 7) to base 8\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t + 15, 27 = r + 83*t - 78*t for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 420\/(-18) - (24 + 2688\/(-126)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 833525 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 65, 0.4, -2\/3, -9\/7 in descending order.\nAnswer: 65, 0.4, 0.1, -2\/3, -9\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1633200, 3266354, 4899508, 6532662?\n\"Answer: 1633154*w + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((35\/(-35))\/(-3*3\/(-9)))\/((-432)\/240)?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7735341 to the nearest integer?\nAnswer: 2781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(-18)*w**(-7\/4) assuming w is positive.\nAnswer: w**(-75\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -6*r**5 - 3*r**4 + 2*r**3 - 4*r**2 + 4*r + 2. Let q(x) = x**5 + x**4 - x. Let f = -21 + 20. Let c(l) = f*n(l) - 5*q(l). Factor c(b).\nAnswer: (b - 2)*(b - 1)**2*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 6. Suppose -25 = -5*m - a*d + 14, 5*d = 2*m - 9. Calculate the remainder when 11 is divided by m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 98 or -5998.2?\nAnswer: -5998.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 - 1. Let c(k) = -4*k**2 - k + 87. Give -c(p) - 2*f(p).\nAnswer: 2*p**2 + p - 85","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 60\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*i = -34*i + 106. Let z = -4 - -7. Let t(k) = 3*k - 3. Let g(d) = -5*d + 7. Let a(v) = z*g(v) + 7*t(v). Determine a(i).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, -60, -124, -204, -294, -388?\nAnswer: -480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.1, 0.28, -224.1.\nAnswer: -224.1, -0.1, 0.28, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4716054 is divided by 6815?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/176 - 377\/4400. Let p = -4 - -4. Do z and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 6 = -0*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 5*o**4\/3 + 31870*o**3\/3 + 22524820*o**2 + 47366098450*o\/3 - 627249524785\/3 = 0.\nAnswer: -2129, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 14412, 28833, 43240, 57627, 71988, 86317, 100608?\n\"Answer: -p**3 - p**2 + 14431*p - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 1 - 1 - 3 + 2 - 2 + 2 - 2 + 1 + 2 - 1 + (4 - 4 - 1)*(0 + 3 - 5) + 1 - 2 + 0 - 2 + 2 + 2 + 4 - 3 + 1)*(5*g + 3 - 1 + 0)*(-3*g - 2*g**3 + 3*g).\nAnswer: -40*g**4 - 16*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - 2\/(-52)*1. Which is bigger: t or -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(13)*1)*5 + -4 + (sqrt(468) - sqrt(468)*-3))**2.\nAnswer: -232*sqrt(13) + 10949","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -3*j**4\/2 - 9*j**3\/2 + 6*j = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -1\/1237 (b) -0.05 (c) -2\/11 (d) -0.2 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/8 (b) 8 (c) -34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -0*a + 1, -3*h - 3*a = 6. Let l be h\/6 - (95\/(-30) + 2). Solve 3*u + l + 5 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -160 by 216.\nAnswer: -20\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.24827888587 rounded to 6 decimal places?\nAnswer: -0.248279","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 61450, 61456, 61464, 61474?\n\"Answer: b**2 + 3*b + 61446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17025694 is divided by 1116.\nAnswer: 1114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 51\/4 of a day?\nAnswer: 18360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -599, 2368.\nAnswer: -599, -1, 0, 2368","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k**2 - k + 1. Suppose 20 = -0*r + 5*r. Suppose -8*b + 8 = -r*b. What is v(b)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*n - 16*n + 45 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -475*x + 87 + 44 + 44 - 292 + 41. Let o(m) = -19*m - 3. Calculate 3*i(f) - 76*o(f).\nAnswer: 19*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1088 + 1125. What is the remainder when 368 is divided by j?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 v, and 1 z when three letters picked without replacement from {v: 1, w: 3, z: 1, g: 3, j: 2, y: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 41770559 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -382728, -382729, -382730, -382731?\nAnswer: -382732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -121885 (base 9) to base 4\nAnswer: -101332121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 65079, 65065, 65035, 64983, 64903, 64789, 64635?\n\"Answer: -p**3 - 2*p**2 - p + 65083","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.93 + 0.07. Let s = 7.5 - k. Let c = 3\/4 + -13\/28. Sort s, c, 3.\nAnswer: c, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 e when two letters picked without replacement from {b: 3, t: 1, j: 3, l: 6, e: 2}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 1. Let h = -489 + 489.1. Let s = 0.232 - -0.068. What is the third biggest value in h, s, c?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d - 7*d - 103 = 9*z - 12*z, 286*d = -4*z + 60*d - 22596 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 770\/1848 + (-216)\/(-207) + 5\/(-115).\nAnswer: 17\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 174*(-4)\/(-6) + 3 + 0. Suppose 5*v = -89 + p. Calculate the smallest common multiple of v and 200.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 5*b = -7 + 9, -3*b = -2*s - 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2697746069 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((1 - -1) + 3)\/1. Sort -7, l, 2.\nAnswer: -7, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/(-1)*1 - -2. Let c(a) = a**3 + 8*a**2 + 2*a + 11. Let z be c(r). Let y = -1 - z. Solve -s - y*s = 15 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 952 at most as big as 62?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1474 and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-420)\/(-8))\/7*(-6)\/(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + 6*z**2 - 7*z - 43. Let t be v(-6). Let s(u) = -2*u**3 - 2*u**2 + 2*u + 2. Let r be s(t). Solve -2*q + 8 = r, 2*q - 15 = 2*h + 3 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 7*m**2 - 28409*m - 284810. Determine v(-10).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c + 19 = -16. Let t be 5392\/10 + 1\/c. Calculate the highest common divisor of 49 and t.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1172536831?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8094 a multiple of 150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 3) to base 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 58) + (-80 - -96) + -36 + 2\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - 7*c**2 + c + 6. Let a be l(-7). Let k = a - -5\/7. Which is smaller: k or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29543.7494 rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 1772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 333654773*o**2*z**3 + 48400*o**2*z**2 + 4588*o*z**2 - 2*z**3 wrt z?\nAnswer: 2001928638*o**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16.8 - -19. Let m = 2.7 - z. Let g = 1 + -1. Which is the closest to g? (a) 0.4 (b) m (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7535037t to micrograms.\nAnswer: 753503700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -98 - -118. What is the highest common factor of d and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000608673 rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d**2 + 1 - 5 + 2*d**2 + 2.\nAnswer: -d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/180 and -47\/6?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iaaa when four letters picked without replacement from aaaiaaaaaaaaaaaaaaa?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2*x = 1. Let t = -1.955 - 0.045. Let g = 0.08 + -0.38. Which is the closest to 0.2? (a) g (b) x (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -913273, -913298, -913329, -913366, -913409, -913458, -913513?\n\"Answer: -3*a**2 - 16*a - 913254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 6 = 4*x, 10*o + 5*x = 5*o + 45 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*j**5 - 38348*j**4 - 76712*j**3 = 0. Calculate j.\nAnswer: -2, 0, 9589","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 280 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 35*x**2 + 6*x - 3. Let n(u) = 19*u**2 + 3*u - 2. Give 6*l(i) - 10*n(i).\nAnswer: 20*i**2 + 6*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 32438?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2594130 (base 10) in base 12?\nAnswer: -a51296","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 2*q. Which is the smallest value? (a) -2 (b) 2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2299 and 589?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6993 and 1266763302?\nAnswer: 2331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2478365000 rounded to the nearest one million?\nAnswer: -2478000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + 2 + 1 + 12*j - 15. Calculate the smallest common multiple of d(-14) and 20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/2 + -2 - (-36)\/1080*9\/12\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*24\/18)\/1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -4*a. Let d(x) = -592*x + 74. Let s(j) = -7*j + 1. Let p(z) = d(z) - 74*s(z). Give p(y(n)).\nAnswer: 296*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -a58 (base 12) to base 9\nAnswer: -2055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6 - 29) + (0 - -1). Let f = a + 106. Suppose 5*m - 3 = f. What are the prime factors of m?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 3*t + 294000. Round t to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of -1\/21*x**7 + 0*x**6 + 0 + 0*x**2 - 4*x + 0*x**5 + 0*x**4 + 1\/3*x**3. What is the second derivative of a(q) wrt q?\nAnswer: -40*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p**2 - 2 + 2 - p**4 - 1 - 5 in the form k*p**2 + v*p**3 + l + g*p + z*p**4 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + u**2 + 2*u + 9. Calculate the smallest common multiple of z(0) and 11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 54 in -2, -43, -2\/9, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 279147557 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1909, 3900, 5955, 8080, 10281?\nAnswer: 12564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(400) - sqrt(400)*-2 - sqrt(400))*-5 + sqrt(400) + sqrt(400) + sqrt(400))\/(-2*sqrt(648)) + 5 + 4.\nAnswer: 35*sqrt(2)\/18 + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in eight sevenths of a week?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3551198313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1674 - 5066\/3. Find the common denominator of 31\/33 and m.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1128894*o**2 - 1128899*o**2 - 1129308*o**2 + 3387117*o**2.\nAnswer: 16*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.287 + 0.287. What is the fourth biggest value in 3, 36\/11, j, -6\/11?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = 4*f + 26. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -231 = -k + 5*k + 3*u, 0 = k + u + 57. Does 6 divide (12\/5)\/((-9)\/k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -960414.787 to the nearest 10000.\nAnswer: -960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -16105*s**4 + 357*s**3 + s**2 - 349612113 wrt s?\nAnswer: -64420*s**3 + 1071*s**2 + 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*r - 61*r = 25*r - 49680. Solve -48*x = -8*x - r for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -80 (base 15) to base 2\nAnswer: -1111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6 - 0) + (-1 - 0). Let q be (-3)\/2*(-2)\/s. Sort q, -5, -1 in descending order.\nAnswer: q, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -81 + -19 + (45 + -2 - -4)\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 6*r**2 - 9*r + 20. Let w be b(2). Suppose -19*d = -w*d + 147. Solve -2*x - 3*x + 5*f = 15, -3*f + d = 3*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 6 = 0, -8*g + 2*t = -11*g - 38100004. What is g rounded to the nearest one million?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37571047*s**5 + 2*s + 26669135 wrt s.\nAnswer: -751420940*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -19, -48, -101, -184, -303, -464?\nAnswer: -673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 568839826 to the nearest integer?\nAnswer: 829","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29536 (base 12) to base 14.\nAnswer: 170b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.989 (b) -4 (c) -42 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4591 (base 14) to base 7.\nAnswer: 50141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-49)\/(-14)*(-172)\/(-602). Let f = -11 + 16. What is the nearest to m in 1, 26, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, q: 4, h: 8}. Give prob of picking 2 q and 1 h.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 140 + -141. What is the units digit of 4*d - 39624\/(-52)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 279 - 277. Is ((48\/18)\/4)\/(n\/15621) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 23*(-1 - 0*1\/(-5)). Is i >= -23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-60)*5*3\/(60\/32). What is the second biggest value in 16\/9, 0, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of u**5\/120 - u**4\/8 - 2*u**3\/3 - 3. Let y(r) be the third derivative of c(r). What is y(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/2))**(-1\/19))**(4\/7) assuming m is positive.\nAnswer: m**(-2\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 14134083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 + 8*p**2 + 3*p - 4. Let h be q(8). Let n be 1 + -4 + h\/7. Let r be (3 + 0)*3\/(-9). Put r, 2, n in increasing order.\nAnswer: r, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39.604 - 0.7.\nAnswer: -40.304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1018870368 and 3?\nAnswer: 1018870371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -50 and 134.\nAnswer: -6700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jg when two letters picked without replacement from {g: 1, j: 1, x: 1, k: 2}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - -8) + 5 + 2 + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, h: 6, n: 7}. What is prob of sequence nh?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2553 by -1245.\nAnswer: -851\/415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2320 a factor of 113334320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 326422*n**3 - 42*n**2 - 345*n wrt n?\nAnswer: 1958532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 737, 1474, 2211, 2948?\n\"Answer: 737*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -279.4718 < -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -107*a + 2460. Let y be h(23). Sort 5, 117, y in descending order.\nAnswer: 117, 5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 3 = 0, -5*s - 4*f = -2 - 7. Solve -2 = -2*x - 4*p - 0, 3*p = -2*x + s for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50321401 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*h*j**2*u**2 - 9*h*j**2*u - 2*h*j**2 - 2*h*j*u**2 + 9*h*u**2 + j*u**2 + 48*j*u wrt u.\nAnswer: 22*h*j**2 - 4*h*j + 18*h + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 * 1153417\nAnswer: -57670.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, k: 4, u: 2, t: 5, z: 2, g: 4}. What is prob of sequence ugz?\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000579044028 rounded to 7 decimal places?\nAnswer: 0.0000579","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -578*h + 1843 + 2195 = -586 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in six fifths of a microgram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 9*u + 9 = 0, -b = -3*u - 7. What is the nearest to -2\/19 in 0.1, -4, 0, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d. Suppose 0 = 4*o - 5 + 1. Let b be ((-3)\/o)\/(2 + 1). Let i(v) = -v - 28. Let q(s) = b*i(s) + 3*j(s). Find the first derivative of q(f) wrt f.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in h**5\/4 + 350*h**4 + 642165*h**3\/4 + 48184235*h**2\/2 - 52716010*h - 586152624 = 0?\nAnswer: -584, -409, -4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/8, -1, -0.06, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -24b + -3aea?\nAnswer: -3d35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4919, -4877, -4809, -4715, -4595?\nAnswer: -4449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 3 + 0*l + 3*l - 4*l - 2 + 3*l**2. Let w be t(3). Calculate the smallest common multiple of (-2 - 1)\/(w\/12) and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of g**6\/165 - g**5\/11 + 2*g**4\/11 + 24*g**3\/11 - 94*g. Factor h(c).\nAnswer: 2*c*(c - 6)**2*(c + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*d**4 - 63 - 3*d + 6*d**4 - 39 - 5 + 2*d**3 - 7*d**4 to the form l*d**3 + q*d**2 + v*d + t + y*d**4 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -46454, -93141, -139878, -186689, -233598, -280629?\n\"Answer: -4*c**3 - c**2 - 46656*c + 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(34 + (-1239)\/63).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -32430710.\nAnswer: -1\/6486142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (56\/(-1260))\/((-56)\/(-420)*3\/2)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = 3*v - 34*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 258 is divided by 33.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 5989048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13*1.2.\nAnswer: -15.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10310 - -10319. Calculate the remainder when 34 is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 14*g**2 + g + 16. Let c be z(-6). Let j(y) = -24*y - 4. Let n be j(5). Let b = c + n. Round b to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1129 + 1129. What is the second biggest value in 3, 0.3, i, -2\/13?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g - 3. Let u(x) = -6*x**2 - 9*x - 8. Let n(w) = 5*w**2 + 8*w + 8. Let p(d) = 4*n(d) + 3*u(d). Let f be p(-2). Calculate j(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/119 (b) -17919 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - -180?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3792 and 17538?\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 832 - (-3 + (-6 - -2)) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 divided by 4.\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - 9*n**2 - 8*n + 2. Let x = 9 - 17. Let q be g(x). Let m = 18 + q. Calculate the lowest common multiple of 14 and m.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of 1\/20*x**5 + 3\/4*x**4 + 9\/2*x**3 + 0 - 5*x**2 + 0*x. Factor s(a).\nAnswer: 3*(a + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + d = -4830, 2*m - d = 2*d + 4834. Let v = m - 1459. Suppose -2*q - 3*q = -v. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 0*r = 7. Let m(x) = -x**2 + 5*x + 7. What is m(r)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -4*r**3 + 25*r**2 - 10*r - 54. Give z(10).\nAnswer: -1654","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -2 - (-6 + (5 - 13)) - -6?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 22 + 2. Suppose 0 = -x - 5, -2*k = 3*k - x - 80. Let i = k + l. Calculate the lowest common multiple of 6 and i.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -773*t + 932*t = 954 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 952021?\nAnswer: 7, 19429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.67 - -13.93. Let i = -15.95 + -0.05. Let v = n + i. Which is the closest to -1? (a) -1 (b) -4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 10532066 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -57*f**2 + 3*f + 9*f**2 - 3*f + 455 + 40*f**2 in the form z + x*f + s*f**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/15)\/((-2)\/10). Let l be h\/((16\/(-14))\/(-4)). Let u be (-2)\/1*(-2)\/l. Which is the smallest value? (a) u (b) -2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 10*x**3 + 109*x**2 - 40*x - 277. Determine g(-11).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -170 - -166. Let r be (2 - 12)*a\/10. Let f = -6 + 4. Sort r, f, -4 in ascending order.\nAnswer: -4, f, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3270032237 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddnnnndddnnnndndd. Give prob of picking 3 n.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 5 = -49. Let y = -111 + 121. What is the remainder when c is divided by y\/3 + 2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5827, -11646, -17465, -23284, -29103, -34922?\nAnswer: -40741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-17 - 0)*34\/(-289). Solve -5*n + 6*n - 2 = -4*a, -10 = 4*n - k*a for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 4 + sqrt(448) + sqrt(448) + 2 + -1 + 5*(2 + sqrt(448) + -2))*-6.\nAnswer: -336*sqrt(7) - 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 + 4*i - 7. Suppose -2*r + 3*r + 4*y = -3, 2*r = y + 12. Let q be k(r). Suppose 9*l + q = 2*o + 4*l, l - 14 = -2*o. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 49429 or 49401?\nAnswer: 49429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -z + 5*c, z = -0*c - 5*c + 44. Suppose -5*t + t = -z. Suppose -5*q = 5*l - 210, 2*q = l + 37 + 47. Calculate the remainder when q is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011000100001 + -11?\nAnswer: 10011000011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/7*84\/8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31528622383 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -3*p - 4. Let a be ((-3)\/(-2))\/((-7)\/14). Let m be n(a). Solve 1 = m*t + 6 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a milligram in micrograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.036, -5, -2\/11, -2, -1, -8, -1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1173 = -3*y + 1836. Calculate the highest common divisor of 65 and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21) - (sqrt(21)*2*-6 + sqrt(21)))\/(sqrt(1188)\/sqrt(11) - sqrt(3)).\nAnswer: 12*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 63891 + -40056. Suppose 4*q = -20, -68*v + 63*v - 4*q = -w. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.117 + -3.117. Sort -0.1, -2\/13, p, 2\/3 in descending order.\nAnswer: 2\/3, -0.1, -2\/13, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, r: 7}. What is prob of picking 3 r?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of -2*s**3\/3 + 239. Let c(m) = -27*m. What is c(b(f))?\nAnswer: 54*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*u + 102 = 12. Solve -1 = c - 2*a + 2, -u*a - 3 = -4*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1024380, -1024381, -1024382, -1024383?\n\"Answer: -d - 1024379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 10 = -15. Solve 0 = -o*m + 2*m - 9 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 5*v - 25 = 0, 5*y + 36*v - 10 = 34*v. Sort -1, -6, y, -10.\nAnswer: -10, -6, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 61800275398356*w**4\/7 + 113735578554855*w**3\/7 - 60947041014*w**2\/7 + 10885076*w\/7 - 648\/7.\nAnswer: (44*w + 81)*(11199*w - 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 - (16 + -18 + 18).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + 30*z - 45. Give h(-33).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1545631, 1545627, 1545623, 1545619, 1545615?\n\"Answer: -4*r + 1545635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11805 - 8372. Suppose 347 + t = 18*v. Calculate the greatest common divisor of 42 and v.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s + 2*s + 0*s + (-s - s + 4*s)*(1 - 4 + 5) + 1705 - 2649*s - 1705)*((-3 + 3 - 1)*(2*s - 3*s + 3*s) - 5*s + s + 2*s).\nAnswer: 10588*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 4*f**3 - 3*f**2 - 4*f - 1. Let z(y) = y**3 - y**2 - y - 1. Give d(r) - 3*z(r).\nAnswer: r**3 - r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 z when two letters picked without replacement from {z: 1, i: 1, c: 2, p: 2, f: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -19972.29891 and 0.36.\nAnswer: -19971.93891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (30\/9)\/(2\/24). Let k(h) = -57*h - 39 - 22 + 13 - z*h. Is k(-13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 30*m - 101. Suppose -82 = -2*w - 4*i, 0 = -i - 2*i - 9. What is the tens digit of l(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 + 2 + -7 + -4 + (3 - -8)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 283*l - 4. Let q(m) = 143*m - 2. Calculate 6*j(h) - 13*q(h).\nAnswer: -161*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 36, 14 in decreasing order.\nAnswer: 36, 14, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 1. Let f(u) = -4*u**2 + 3 - 5 + 2*u - 3*u + 3*u**3. Let m(g) = g**3 - g**2 + g + 1. Let q(p) = -f(p) + 2*m(p). What is q(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -23*w - 66. Let y be (-1)\/4 - (-52)\/16. Suppose -8 = -f - 5*t - 1, 0 = -y*t. Calculate the remainder when f is divided by b(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4232*t**2 - 552*t + 18.\nAnswer: 2*(46*t - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of -b**5\/30 - b**2. Let p(r) = -r**2 + 8*r - 12. Let n(u) = -6*u + 9. Let q(z) = 4*n(z) + 3*p(z). What is k(q(x))?\nAnswer: -18*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 j when two letters picked without replacement from {p: 2, k: 1, j: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 - 70*m**2 + 29*m**2 + 4*m**4)*(-3*m + m + 0*m).\nAnswer: -8*m**5 + 80*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in ninety-one halves of a litre?\nAnswer: 45500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5412681 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-5*(sqrt(228)*-2 - sqrt(228)) + sqrt(228) + -3*sqrt(228)*-2))\/((sqrt(6912)*-2 - sqrt(48))*2).\nAnswer: 22*sqrt(19)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126 is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of 2*k**5\/15 + 26*k**4\/3 + 686*k**3\/9 - 132*k**2 - 1152. Factor b(f).\nAnswer: 2*f*(f - 1)*(f + 9)*(f + 44)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 7*y + 16. Let o be f(-17). Let u = o - -105. Solve -u*w = -5*i + 3*i + 16, 5*w = -3*i for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 270 - 260. Let u be -6*(2569\/(-3) + 0). What is the common denominator of -91\/8 and (-2)\/i - u\/(-140)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 4. Suppose 0 = -4*d + w*h + 1, -3*h = -d + 6*d - 8. Is 355\/2 - d\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 67260 * -23.\nAnswer: -1546980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f + 3. Let v be c(1). Suppose -4*j + v*o = -244, 0 = 4*j - o - 200 - 47. List the prime factors of j.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w + 73. Let b(d) = -37570*d. What is u(b(m))?\nAnswer: 75140*m + 73","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, t: 4, j: 2, b: 5}. What is prob of picking 1 t and 2 r?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -10*n**2 - 192*n - 20. Suppose -53 = 3*a - t - 3*t, -5*t + 71 = -4*a. Let b be d(a). Solve -17 + b = -q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -320 (base 13) to base 4\nAnswer: -20111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - -1)\/((-6)\/(-4) + -1). Put 2\/5, -0.32, q, 5 in increasing order.\nAnswer: -0.32, 2\/5, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 10:31 PM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2393385.\nAnswer: 3, 5, 379, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.519711 to two dps.\nAnswer: -1.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3574503 less than -6.936?\nAnswer: 3574496.064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 17101, 34207, 51313, 68419?\n\"Answer: 17106*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of -f**8\/84 + f**4\/8 + 3*f**2\/2 - 3*f. Let a(z) be the first derivative of x(z). Find the second derivative of a(s) wrt s.\nAnswer: -80*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 3*g - 914, 0 = j - g + 295 + 160. Let h = j - -614. What are the prime factors of h?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, n: 4, j: 9, i: 1}. What is prob of picking 1 j and 1 t?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 207, 859, 1955, 3501, 5503, 7967, 10899?\n\"Answer: t**3 + 216*t**2 - 3*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -3. Let n be (-246)\/(-18) - 7 - 5. Which is the closest to u? (a) 5 (b) n (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11 and -8682286.\nAnswer: -95505146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/9977 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 171058583 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sqm when three letters picked without replacement from zsmqntq?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 152.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tdxdnmmp. Give prob of sequence xmd.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 30 = -2*v. Let x be (-2)\/v + 40\/(-6). Let o = -3 - x. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 - 14. Let w = 24 - i. Solve -2*g + w = 3*q, 5*g + 9 = 3*q - 16 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/5)\/((-6)\/15). Let w be k*(-2)\/4*5. Let v(o) = -o + 3*o + o**3 + 0*o**3 + 0*o + 5*o**2. What is v(w)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 277.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 18*d**2 + 126*d + 3. Let p be v(-7). Let i(s) be the first derivative of 14*s + 19 + 2\/3*s**p + 8*s**2. Find y, given that i(y) = 0.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*b + 60*b - 30*b - 56.\nAnswer: -10*b - 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 113 (base 5) to base 16\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.9379 + -31.93785. Let d = b + 30. What is d rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 10 + 5 = 0. Let w = 3\/547 - -3195\/15863. Does u = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -399 = -4*j - 5*z, -j - z = -8 - 93. Let l be (-2)\/(-5) - 3*(-3138)\/90. Which is smaller: j or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -1 - (-38 + 44).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18945\/19 - 997. Let d = -0.1 + 0.1. Put -5, l, d in descending order.\nAnswer: l, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*u - 4 = 11*v + 22*u, -5*v + 4*u = -7 - 9 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*r = 10, -r - 24 = 5*u - 7. Let p = u + -3. Let m be 2\/3 - (-3064)\/p. What is m rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 19*b**2\/9 - 756833*b\/9 + 79666\/3 = 0. What is b?\nAnswer: 6\/19, 39833","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 580 and 314882?\nAnswer: 3148820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 3*u + u + 1, -3*b = -2*u + 5. Suppose -53 = -5*d - i, -2*d - 2*i = -19 + 1. Let k be (-1)\/5 - 216\/45. Sort d, 5, b, k in descending order.\nAnswer: d, 5, b, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 161 = -4*u - 2*c, -5*u + 3*c + 214 = 0. Let l = 26 - u. Calculate the least common multiple of 22 and 43\/2 + l\/10.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 686317.9l to millilitres.\nAnswer: 686317900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3095640\/151 or 20500?\nAnswer: 20500","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 77573?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(2\/7)*s**0*s*s**(-1\/3)*s*s*s*s**(-3) assuming s is positive.\nAnswer: s**(20\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3400 divided by -6\nAnswer: 1700\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*l + 780 = 780. What is the closest to -47 in -3, l, -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + 2 - 2)*(0 - 4 + 3) - 4*j - 3*j + 5*j + 4 - 8*j - 4 + 2 - 4*j + 2*j + j.\nAnswer: -12*j + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (87\/(-6) + 4)*12\/9 - -5\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -4 + (-78)\/(-21) - (-471)\/7?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/40 and -51\/22.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-7 - -4) + -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of -g**6\/120 + g**5\/12 + g**4\/3 - g**3\/6 + 5*g**2. What are the prime factors of f(6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23 - -28. Let h = 9 - n. Suppose -120 = h*v - 12*v. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -58c (base 16) to base 13\nAnswer: -853","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29480?\nAnswer: 2, 5, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5035348 by 4.\nAnswer: -1258837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/13562279 and 2\/203434185?\nAnswer: 203434185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*z - 422 - z + 1247 - 6*z.\nAnswer: z + 825","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-69)\/(-161)*(6 + 1). Solve 2*q = 3*z + a*q - 11, -q = 4*z - 14 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-2 - -3) + -3 + 1 + 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161965 is divided by 16196?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6941 - -6997. Solve -r*t - 203 = 21 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -89 divided by -1\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 44702?\nAnswer: -44701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-5)\/15)\/((-2)\/102). Let h = u - -36. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of 0*d**2 + 1\/20*d**5 + 0 + 1\/12*d**4 + 1\/6*d**3 - 7*d. What is x(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of -60835*c**4\/4 + 58190*c**3 - 83490*c**2 + 53240*c - 4428. Factor j(p).\nAnswer: -5*(23*p - 22)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, q: 3, l: 2, o: 4, s: 9}. Give prob of sequence soo.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d - 8 = -4*d + 2*s, -3*s = 3*d + 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 108033487, 216066975, 324100463?\n\"Answer: 108033488*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + -74)\/((-2)\/(-16)). Let j = z + 979. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.4 - 6. Let n = -0.02 - -2.02. Let w = n - 2.3. What is the closest to -0.1 in w, j, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 121488, 485980, 1093470, 1943958, 3037444, 4373928, 5953410?\nAnswer: 7775890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.05 - -2.75. Let r = l + -3. Let s = -0.5 - r. What is the third biggest value in -2, -2\/5, s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 5:37 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 66 and 0.23.\nAnswer: 15.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -307069114, -614138230, -921207346, -1228276462?\nAnswer: -1535345578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61136 = 7*s + 15643. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 0*v + 0*v)*(5 - 2*v - 5)*(33*v**3 - 56*v**3 + 22*v**3).\nAnswer: -4*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(833) - (sqrt(833) + (sqrt(833) + -3)**2)) + sqrt(833) + -6*(sqrt(833) + 0).\nAnswer: -203*sqrt(17) + 3368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1143, -27, 31\/14 in decreasing order.\nAnswer: 31\/14, -27, -1143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1642664*a - 1642664*a + 2459*a**3.\nAnswer: 2459*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15113*u**3 + 14261*u**3 - 5444*u**3.\nAnswer: 23930*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 25535 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -744400 (base 8) to base 4.\nAnswer: -330210000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 193*x**2 - 220*x - 33149. Determine o(195).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = -4*u - 15 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -60931, -60981, -61069, -61201, -61383, -61621, -61921?\n\"Answer: -u**3 - 13*u**2 - 4*u - 60913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - -2. What is the remainder when ((-30)\/(-90))\/((-3)\/(-72)) is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 12:44 AM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4600 (base 9) in base 11?\nAnswer: -2613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12382.6 + -12383. Let k = -2.2 - -0.2. Let v = -1 - -0.7. Which is the nearest to p? (a) v (b) k (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104 is divided by 58?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -12321301 (base 4) to base 8\nAnswer: -67161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -23734, -23736, -23738?\n\"Answer: -2*s - 23732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -329, -663, -1007, -1367, -1749, -2159, -2603?\n\"Answer: -b**3 + b**2 - 330*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 89521.23 hours in minutes?\nAnswer: 5371273.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -8 - 6*g + 6 + g - g**2 + 5. Let a be y(-5). Find f such that 0*f**a + 12*f**4 + 33*f**2 - 13*f**2 - 8*f**4 - 16*f**3 - 8*f = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -520*n + 2027 + 1299 = 13206 for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -63. Let m be l\/10 + (-6)\/(-15). What is the remainder when (-388)\/(-36) + m\/27 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -114945223 and 3.\nAnswer: -344835669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6791630 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2. Let s(x) = 2*x + 1. Let z(d) = 168*d + 132. Let g(c) = -792*s(c) + 6*z(c). Give g(l(y)).\nAnswer: -576*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z + 7*z + 48 = 4*g, -5*g - 6 = -z. Suppose 0 = -5*n + r + 14, 4*n - 4 = -4*r + 12. Solve -n*w + z = -1 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + -2*(-2)\/12. Let s = -13\/29 + 23\/116. Let r = 0.2 - -0.1. Put r, s, o in decreasing order.\nAnswer: r, s, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87493*a + 46 + 49 + 43 + 43746*a - 138 + 43749*a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/4)\/k*(k\/(k\/k**(-9)))\/k)\/(k\/(k**(-1\/7)\/k))**5 assuming k is positive.\nAnswer: k**(-601\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*t + 1508 + 396 = 0 for t.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9337517 and 77657?\nAnswer: 983","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/20*2\/3.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 14*s + 14. Let b(g) = -5*g - 5. Let n(a) = -8*b(a) - 3*l(a). Let q be n(0). Let t be (-2 - (-2 + q)) + -8100002. Round t to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence knn when three letters picked without replacement from {n: 2, h: 7, k: 11}.\nAnswer: 11\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*g**5 + 91705*g**3 - 61*g**2 - 4*g + 119 wrt g?\nAnswer: -120*g**2 + 550230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + 5*m**2 - 11. Let u be n(4). Solve u*k + j - 3 = -1, -4*j + 8 = 4*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (99\/(-4))\/(-11)*(-104)\/78?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(1 + 1) + 64\/(-2). Let r = 60 + z. Differentiate -9*i - 8*i - 16*i**4 - r + 17*i wrt i.\nAnswer: -64*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (16 - 6)*(-2)\/(-2 - 2). What is the highest common divisor of c and 135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8383956 years in months?\nAnswer: 10.0607472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101131003 - -10?\nAnswer: 101131013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 + 3. Calculate y(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 83860011 and 27953337.\nAnswer: 83860011","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**(-9)*l**(4\/5) assuming l is positive.\nAnswer: l**(-36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (966 - 1107 + 2111)*(-18 - 4*k**2 + 18 + (4*k - k - 2*k)*(-k + 0*k + 0*k) - 5*k**2 + 2*k**2 + k**2).\nAnswer: -13790*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 2:03 AM?\nAnswer: 7:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 12:06 AM?\nAnswer: 5:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dldd when four letters picked without replacement from {l: 1, d: 7}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -2*k**7\/105 - 19*k**6\/10 - 56*k**5 - 392*k**4\/3 - 3560*k**2. Factor d(f).\nAnswer: -4*f*(f + 1)*(f + 28)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -230, -456, -682?\nAnswer: -908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**5\/11 - 1550*p**4\/11 + 6*p**3\/11 + 4654*p**2\/11 + 3100*p\/11 = 0. What is p?\nAnswer: -775, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.95 + -1. Let n = -8142 - -8140. What is the fourth smallest value in n, -0.5, -2\/3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 6*c + 2. Determine h(7).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16418876 to the nearest integer?\nAnswer: 4052","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + -1*sqrt(112) + sqrt(112))**2 - (0 + (sqrt(112) - sqrt(112)*1)))*4 + -3 + (1 + sqrt(112))*-4 + sqrt(112) + (2*sqrt(112) - sqrt(112))*-5.\nAnswer: -32*sqrt(7) + 93","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6052562?\nAnswer: 2, 107, 28283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -4848*l - 17900. List the prime factors of o(-8).\nAnswer: 2, 23, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -14*a**2. Let t(x) = 97*x + 15. What is t(j(v))?\nAnswer: -1358*v**2 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5545.763071 take away 3195?\nAnswer: -8740.763071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 54c24 (base 13) to base 14\nAnswer: 3ddd1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 + 23. Let a = 31 - i. Calculate the greatest common divisor of 4 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.93 - 3. Let k = 0.0281 - -42.9719. Let m = k - 41. What is the fourth biggest value in m, z, 0, 0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of n**5\/20 + 4*n**4\/3 + n**2 + 6*n. Let z be g(-16). Suppose b + 5*i = -6, 0 = 4*b + 2*i - 10 - z. Solve m = -b*m - 20 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2517 + -0.2483. Which is the fourth biggest value? (a) k (b) 4.4 (c) 0.2 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 113, 642, 2031, 4712, 9117, 15678?\nAnswer: 24827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of 0 + 1\/18*c**3 - 7*c + 0*c**2 + 1\/36*c**4. Factor h(l).\nAnswer: l*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -1. Let t be (-1)\/(3\/(-15)) + w. List the prime factors of t\/(-28) + 33\/4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 1)*-1*(1\/7 - (-300)\/(-1610))\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - 10*m**2 + 6*m + 2. Let r(q) = -q**3 - 9*q**2 + 6*q + 2. Let y(c) = 3*n(c) - 4*r(c). Calculate y(-6).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 180 and 80.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 1259 divide 131833667?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.9967 rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 911818389 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 PM and 11:39 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 4*h**2 - 3*h + 17. Let w be a(-7). Let s = -46 - w. Let v = -87\/2 + s. Calculate the common denominator of 9\/2 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -464266, -464241, -464212, -464179, -464142, -464101, -464056?\n\"Answer: 2*b**2 + 19*b - 464287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -122*u**2 + 2*u - 7. Let b(n) = 62*n**2 - n + 3. What is -5*b(x) - 2*f(x)?\nAnswer: -66*x**2 + x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is dd - -6?\nAnswer: e4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4777725870 to the power of 1\/3, to the nearest integer?\nAnswer: 1684","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/5)\/((-1)\/2). Let v = 0.11 - -1.73. Let a = v + 0.16. Which is bigger: a or l?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -6936, -2, -0.06.\nAnswer: -6936, -2, -1\/2, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 2*a + 6*i - i, -1 = 5*a - 3*i. Let q(h) = -4*h**3 - 10*h**2 + 5*h - 5. Let s(n) = 2*n**3 + 5*n**2 - 2*n + 2. Give a*q(d) - 5*s(d).\nAnswer: -2*d**3 - 5*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/2679516 and 5\/24696?\nAnswer: 5359032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + (24 - 13) + 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3942, 3943, 3944, 3945, 3946, 3947?\nAnswer: 3948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -207.5 + 202.5. Let r = -0.59 - -1.59. What is the closest to r in -3, p, -3\/10?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6578 or -6186?\nAnswer: -6186","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (36\/72)\/((-1)\/2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/3, 736, 2886?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.66*-2.1693.\nAnswer: 3.601038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-z - 2*z - 18*z)*(2 - 4 + 1 + 224*z)*(-2*z**2 + 2*z + 3*z - 7*z) to the form g*z + b*z**3 + c + q*z**2 + o*z**4 and give b.\nAnswer: 9366","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8013 is divided by 131?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5735 - -516533?\nAnswer: 510576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gcuuegguuluueuuuguug. What is prob of picking 1 u, 1 g, and 1 l?\nAnswer: 11\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-55)\/(-66))\/((-50)\/(-15)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 158, 153, 148, 143, 138, 133?\n\"Answer: -5*z + 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 41941 rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/((-2)\/5)*-2. Suppose i*l + 16 = -2*x, -3*l - l - 26 = -5*x. Suppose -x*k + 4*k - 6 = 0. Solve 1 - 8 = 4*p - k*z, -4 = 4*p - 4*z for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 h, and 1 d when three letters picked without replacement from {c: 1, m: 1, f: 5, h: 3, y: 1, d: 2}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1549?\nAnswer: 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 + 46 = -2*f - b, -14 = -5*f - b. Find u such that 0 + 1\/9*u**f + 1\/9*u**3 + 0*u = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -111 - -98. Let b = -0.3 + 14.3. Let w = k + b. What is the closest to w in -4, 2\/3, -7?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 119 + 129 = 0, 3*y - 19 = -5*n. Solve a + 3*o = 0, -12*o = n*a - 13*o for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mpae when four letters picked without replacement from {p: 4, a: 1, t: 3, e: 4, w: 3, m: 2}?\nAnswer: 1\/1785","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5926, -5928, -5930, -5932?\n\"Answer: -2*r - 5924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2904562977 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 12*f - 32. Let j be k(2). Calculate the remainder when 68 is divided by 222\/j*(-136)\/102.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 12351, 12376, 12391, 12390, 12367, 12316, 12231, 12106?\n\"Answer: -a**3 + a**2 + 29*a + 12322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from uqquxfox?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/16)\/(8747\/1189592)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 k when two letters picked without replacement from {z: 1, g: 4, x: 1, w: 5, k: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.53 - -0.53. Is g bigger than 2\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -727*b**3*g**3 + b**2 - 61*b*g**3 wrt b.\nAnswer: -4362*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 576110409 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4804 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*m + 344 = -107 + 46 for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/31700757 and 97\/231.\nAnswer: 221905299","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6993059.6 less than -0.01?\nAnswer: -6993059.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h + 1. Suppose 4*w - 8*w = 8. Let c(z) = 2*z**2 - 2*z - 2. Calculate w*t(k) - c(k).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*t**5 + 125*t**4 + 375*t**3 + 25*t**2 - 365*t - 150 = 0. Calculate t.\nAnswer: -2, -1, -1\/2, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1591 and 185.\nAnswer: 7955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -9e70 (base 16) in base 14?\nAnswer: -10ad2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -226 + 316. Let s be (-2)\/(-3) + (-3426)\/a. Let t = s + 37. What is the third smallest value in t, -1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 0. Let i = -32.042 + 32. Let f = i - -4.042. Which is the third smallest value? (a) f (b) h (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*w**2\/5 + 8*w - 96\/5 = 0. Calculate w.\nAnswer: 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/8*52\/6?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 371 = 393. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 8*m**2 + 10*m - 2. Determine x(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**4 - 48 - 63006*m**2 + 63006*m**2 + (m - m - m)*(4*m**3 - m**3 - m**3) to the form t*m**3 + r*m + s*m**4 + i + l*m**2 and give i.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 0*j + 4 - 7 + 2*j + 3*j**3 as c*j**2 + k*j + b + z*j**3 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 2)*(-g + g - 2*g) + 336*g + 16 - 16 + 175*g.\nAnswer: 507*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-50)\/15*18\/(-4) + -1. Calculate the highest common factor of 49 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -9, 11, -1 in decreasing order.\nAnswer: 11, -0.5, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + (-660 - -699) + (1 - -19)?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*o - 50*o = 85. What is the smallest value in 69, 5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 198777.\nAnswer: 3, 173, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -315.128 rounded to 0 dps?\nAnswer: -315","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 - (-10 + 4 + 3 + -5).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1231 - -1331130113?\nAnswer: 1331122222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -24 - -6?\nAnswer: -1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52205138.\nAnswer: 2, 103, 253423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 55*v**2 - 4 - 1 + 1 - 59*v**2 - 5*v. Let c(m) = 5*m**2 + 6*m + 5. Let l(n) = n**2 + 4*n - 9. Let q be l(-5). Calculate q*y(z) - 3*c(z).\nAnswer: z**2 + 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7293, -32753, -75185, -134589, -210965, -304313, -414633?\n\"Answer: -8486*f**2 - 2*f + 1195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5078 is divided by 5045.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k + 82 - 92 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(833) - (sqrt(833) + 2 + 0 + sqrt(833) + sqrt(833) + sqrt(833))))**2.\nAnswer: 168*sqrt(17) + 7513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 843 = -5*r, 0 = 5*r - 4*r + 3. What is the derivative of 19*l**2 + 2*l**2 + 36*l**2 - 9*l**2 - h - 2*l wrt l?\nAnswer: 96*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-6)\/n*n)\/n)**(-30) assuming n is positive.\nAnswer: n**210","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -4. Suppose -5*x + 4 = 2*g + 27, 24 = -c*g + 3*x. Let s(p) = p**3 + 9*p**2 - p. Determine s(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-3) - (-112)\/48. Find the common denominator of -4\/37 and (-890)\/40 - 2*(-1)\/z.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69171023 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -80975.3 - -77498. What is c rounded to the nearest one hundred?\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 127145909 to the nearest integer?\nAnswer: 11276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10\/7? (a) 0.3 (b) 2\/9 (c) 2 (d) -1 (e) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 893994 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 212*i**2*v - 143*v wrt i.\nAnswer: 424*i*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rkrkrko. Give prob of picking 2 r.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 162116 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -148, -901 in ascending order.\nAnswer: -901, -148, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 + 3*f + 5. Let g be k(4). Let h be (2 - 0 - -19)*g. What is the greatest common factor of h and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/6)\/(2\/12). Suppose -5*a = -j*k + 3, k + k - 3 = a. Suppose 0 = k*h + h - 105. Is h 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 269661?\nAnswer: 3, 7, 12841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + p - 13, -3*p = -6*q + 5*q - 7. Suppose -q*c + 748 + 18 = -5*a, 4*a - 1849 = -5*c. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*d = 22*d + 14. Suppose 1034 = d*k - 5*g, 2*g = -4*k - k + 2556. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228329*q - 228405*q = -2736 for q.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/156348 and 61\/1892?\nAnswer: 1719828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2654)\/47772)\/(-1*1\/20).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -83*v - 581. Let f be l(-8). Calculate the highest common factor of f and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + -1 - 10\/6. Let w = -419 - -412.71. Let q = w + 4.29. What is the closest to q in 2, 1\/4, g?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**7*t**(5\/4) assuming t is positive.\nAnswer: t**(33\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -5412 to the nearest one hundred.\nAnswer: -5400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m**3 - m. Let t(d) = -4*d**3 + 2*d. Suppose f + 0*f + 3 = 0. Let z(s) = f*j(s) - 2*t(s). What is the second derivative of z(g) wrt g?\nAnswer: -6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7, u: 12}. What is prob of picking 1 m and 1 u?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/4*(-40)\/15?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 281 - -39. Let z be (288\/(-5))\/((-12)\/f). What is the highest common divisor of z and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 2*k - 3*j - 574, 0 = 4*k - 5*j - 1150. Let g = 412 - k. Calculate the remainder when g is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2640 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + (-4)\/2 - (-3)\/1. Is j > 8\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-606 + 536 - 590)*(-t + 2*t + 0*t) + 4*t + 2*t + t - 3*t + 2 + t + t.\nAnswer: -654*t + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 - -17 - (-1 + 0 + 11).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of 25*h**4\/2 + 8*h**3\/3 - 4*h**2 - 129. Let n(j) = -33*j**3 - 5*j**2 + 5*j. Give -8*n(b) - 5*t(b).\nAnswer: 14*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + (-28)\/12 - -4. Which is the nearest to -2? (a) 0.3 (b) l (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 458065301 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of -f**4 - 100*f**3\/3 - 336*f**2 - 576*f - 8393. Factor o(w).\nAnswer: -4*(w + 1)*(w + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**2 + 0*z**2 + 2*z**2 + (-6*z + z + 3*z)*(0*z + z - 2*z) + (-2 + 5 - 4)*(-3*z**2 + 8 - 8).\nAnswer: 7*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -1294*g. Let y(o) be the second derivative of o**4\/6 - 41*o. Calculate y(w(u)).\nAnswer: 3348872*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 12316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cjjccjjjjjcc. Give prob of sequence jccj.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + (0 - -3 - -1). Are 6 and m non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)\/(sqrt(42)\/(sqrt(12)\/sqrt(2) + sqrt(6))) - ((2*sqrt(132) - sqrt(132))\/sqrt(12) + -1 + 0 + sqrt(11)))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -907747*g**2 + 1815532*g**2 - 907786*g**2.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b*b**(2\/3))\/b*b)**(-14\/3)*(b*b**(-2\/5)\/b*b)**(1\/23))**(-6) assuming b is positive.\nAnswer: b**(25706\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 24*y - 1. Let s(k) = -2*k. Let j(p) = 22*s(p) + 2*v(p). Let l(m) = m**3 + 4*m**2 + 3*m - 2. Let g be l(-3). Calculate j(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2720 + 1112 = -39*u - 204 for u.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -79709 + 134209. List the prime factors of b.\nAnswer: 2, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 14. Let s be (-72)\/(-15) + 2\/x. Suppose -4*t = t - s. Do -1\/10 and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g**2 + 2*g**5 + 3*g**2 + 2*g**5 + 0*g**2 + 0*g**2 + (-2*g + 0*g + 3*g)*(-g**4 + 4*g**4 - 4*g**4) - g**5 + 0*g**5 - g**5 + 2*g**5 - 1 + 1.\nAnswer: 3*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1446354.\nAnswer: 2, 3, 7, 13, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 - 16. Let p = -317 - -149. Let i be ((-7)\/p)\/((-2)\/(-6)). What is the biggest value in q, i, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*t + 121 - 40 = -39 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -140*i + 5*i + 4176630. Round i to the nearest one thousand.\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5163, -5165, -5167?\nAnswer: -5169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -982, -1958, -2892, -3784?\n\"Answer: 21*f**2 - 1039*f + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -975976549386 - -4.\nAnswer: -975976549382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -530.491 + 531. What is y rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (17\/(-3))\/(-4 - 434\/(-108)). Let l = -920\/3 - a. Let z = -0.04 - 3.96. Put z, 3, l, -11 in descending order.\nAnswer: 3, l, z, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -b - 8, -3 = x + b + 2. Let m be (96\/12)\/(1*2). Sort x, m, 5, -3 in decreasing order.\nAnswer: 5, m, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002055 to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72 and 702.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 6*v + 24 = 0, 10*b = 3*b + 5*b + 4*b - 8*v + 32 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -3*f**2 + 13*f + 21. Let s(c) = c**2 - 6*c - 10. Let o(k) = -5*s(k) - 2*w(k). Let p be o(4). Is p not equal to 39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-112))\/(1150\/(-805))\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21.4 + 16. Let s = 5 + r. Let z = -1465\/11 + 133. What is the closest to -2 in z, s, 0.5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8 + 37213187?\nAnswer: 37213178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-20)\/(-30)*-1*3. Let u be ((-2)\/1)\/(j\/7). Let f(t) = 8*t - 2*t - u*t. Calculate f(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 724 is divided by 52?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*k - 10*k - k + 6*k + 5*k.\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by 1 - (-2 - (0 + 2))*4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 755 a factor of 239662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003106995003 rounded to four dps?\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1846 - -1965. Let q be (-3)\/7 + (-20)\/(-112). Is r greater than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26*m**4 + m**3 - 112*m wrt m?\nAnswer: -312*m**2 + 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.77003 micrometers in millimeters?\nAnswer: 0.06077003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03*3838094.\nAnswer: 115142.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 (base 12) in base 13?\nAnswer: 14c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 0)*(0*b + 2*b - 3*b)*(18*b**2 - 325*b + 164*b + 159*b) to i*b**2 + a + m*b**3 + w*b and give m.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/9 + 214*f\/9 + 24.\nAnswer: -2*(f - 108)*(f + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -8*b**4 + 2*b**3 - 4*b + 3. Let y(q) = -15*q**4 + 4*q**3 + q**2 - 8*q + 5. Let o(a) = 5*x(a) - 3*y(a). What is the third derivative of o(n) wrt n?\nAnswer: 120*n - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2264711 a multiple of 172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/4 and -50\/943679?\nAnswer: 3774716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -38336.64963 to the nearest ten.\nAnswer: -38340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 7*a**2 - a. Let j be w(7). Let l be (-33)\/7 + 4\/(-14). Let q = l - j. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 2*k = -40, 5*c + 4*k + 252 = 237 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) -5 (c) -0.697\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xjxjx. What is prob of picking 2 x and 2 j?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -4, 1, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 + 4*k + 4. Let a(t) = -t**3 + 13*t**2 - 12*t - 3. Let s be a(12). Determine i(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -10*r**2 + 11*r + 41. Let f be j(-5). Let n be f\/110 - 1\/1. Is n at least as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*l + 13*l + 28 = 3*g, 4*g + 46 = -9*l + 26 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q**2 - 7*q - 201. Suppose -6*m + 46 = -4*m. What is the remainder when m is divided by c(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-58)\/(-8) + (1\/4)\/((-1)\/1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 t, and 1 h when three letters picked without replacement from {i: 2, h: 1, q: 2, t: 1, k: 5, p: 2}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-374)\/51*60\/55\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**2 + 2*q + 1. Let z be y(-2). Let w = -3 + z. Suppose 0*g - 6 = -d - 2*g, d - 4*g = 0. Solve 14 = -d*o + t, 2*o - w*t - 2 + 6 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - 1)*-1 - -1. Suppose u*l - 170 = 232. Suppose 2*o - 148 + 55 = -5*p, -5*p - l = -4*o. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**4 + 0*g**4 + 2*g**4)*(-14*g + 2*g + 9*g + 3).\nAnswer: 6*g**5 - 6*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5508551 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 9*h**2 - 26*h + 9. Give o(11).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -0.0119, 0.057, 12?\nAnswer: -0.0119","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -12*r**2 - 3. Let s(a) = a. Calculate p(s(o)).\nAnswer: -12*o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4166947753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 4 = 22. Let d be (6\/s)\/(-19 - -18). Factor 0*b**2 + 0*b**2 - d*b - 4 - 3*b**2 + 10.\nAnswer: -3*(b - 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -3*r**5 - 2367*r**4 - 39465*r**3 - 71841*r**2 - 34740*r = 0.\nAnswer: -772, -15, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58614055087 - -52.\nAnswer: -58614055035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -492\/5 - -98. What is the third biggest value in -3, -1, x, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3917 (base 11) to base 13.\nAnswer: -2424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -7*d + 7. What is the common denominator of j(8) and 169 - 155 - (-87)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4081231177.\nAnswer: 4081231177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -107 + 136. Let y(n) = n**3 - 8*n**2 - 10*n + 12. Let s be y(9). Is s less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -12*h - 9. Sort -10, -5, h in increasing order.\nAnswer: -10, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -0.1, 31, 1.14?\nAnswer: 1.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 62282*x - 67331 wrt x.\nAnswer: 62282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 445408817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (836 - 849) + (3 - 15) + 3\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 - 4 - 9*f + 4. Let g(h) = 40*h - 9. Let t(x) = -9*x + 2. Let m(y) = 4*g(y) + 18*t(y). What is m(l(p))?\nAnswer: 2*p**2 + 18*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 106825?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**4 + 130*a**2*z**3 - 96*a*z**3 + a*z + 2*z**3 wrt a.\nAnswer: 24*a**2 + 260*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 4 + 0 + sqrt(153)\/sqrt(9) + sqrt(17).\nAnswer: 5 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 PM and 1:18 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of (-13748)\/(-24) + 13 - 10\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.08 + -0.28. Let a = r - 0. Let p = -0.5 + 0.1. What is the smallest value in 2\/3, a, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -3243, 5, -2\/3, 1\/5, -0.06?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4522 - -135713?\nAnswer: 131171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 4*y + 4*k + 123, -5*y - 3*k = -592. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of 0*c - 1\/10*c**5 - 1\/120*c**6 + 7\/6*c**3 + 0 - 5\/24*c**4 - 5*c**2. Calculate o(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vffffvffffvfffffvf. What is prob of sequence vv?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 197? (a) -0.2 (b) -2 (c) 3\/14993\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10 and 216?\nAnswer: -2160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/102 and 91\/4080.\nAnswer: 4080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/52007 and 10\/4367?\nAnswer: 572077","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 11:48 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-178)\/2403 - (-112)\/54. Solve b + 2 = -4*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -97789 divided by -37.\nAnswer: 97789\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/3 - 50\/(-15). Let k be (2\/(-3))\/((-18)\/(-189)). Let h be 3\/4 + (-3)\/(-12). Put h, o, k in increasing order.\nAnswer: k, h, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7378043 to the power of 1\/2, to the nearest integer?\nAnswer: 2716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 26b (base 15) to base 7\nAnswer: 1415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(1\/11)*(t\/t**(-2\/31))\/t*t*t**(-18)\/(((t*t**(2\/7))\/t)\/t))**(2\/15) assuming t is positive.\nAnswer: t**(-72232\/35805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (142\/(-710))\/((-6)\/(-5)). What is the smallest value in r, -18, 1\/6?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(2*(-18)\/24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 3*z + 120. Determine m(-7).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -8*f - 165. Let t(m) = -8*m**3 + m**2. Let o(h) = -24*h**3 + 3*h**2. Let y(j) = f*t(j) + 4*o(j). Find the third derivative of y(z) wrt z.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 3*a - 24. Let o = a + -6. What is the least common multiple of 20 and 3\/(o\/4) + 0?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + -1 + 2*-1. Let x be (-2 - -1)\/((-2)\/(-6)). Let u be -3*(-2 + -2 - x). Solve m*n = -u*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5993450 to the power of 1\/2, to the nearest integer?\nAnswer: 2448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162 is divided by 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1378.\nAnswer: 2, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -4)\/(5\/(-1)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 3:55 AM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-12)*4*1. Let b(q) = -2*q + 5*q + q**v + q. Determine b(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 0, 3, 7, -6600.\nAnswer: -6600, -2, 0, 1, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 774999*p**3 - p**2 + 3*p + 2. Let w(n) = -n + 9. Let v be w(7). Suppose 0 = u + v. Let k be t(u). Round k to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3706 and 3537922.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4746566917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 12, 4*f - 18 = -2*x - 0*f. Suppose 0 = -x*u + 5*u - 3*z - 6, u + z - 8 = 0. What are the prime factors of (-436)\/(-8)*(-4 + u)?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1\/6)*f**23*f**(-4\/5)\/f**(-6) assuming f is positive.\nAnswer: f**(841\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4792 + -4790. Put -6, v, 63, -2, -5 in ascending order.\nAnswer: -6, -5, -2, v, 63","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**3 + 179545*c**2 - 1613166095*c + 24157110675.\nAnswer: -5*(c - 17947)**2*(c - 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 4*z + 1. Let k be a(1). Suppose -k*o + 24 = -11. Is 6 >= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v**2 + 5*v - 3. Let t be u(3). Find the common denominator of (-22)\/t*(-6)\/(-20) and ((-21)\/(-6)*-34)\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7417387 divided by -7417387\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 125*j**3 - 4*j**2 + 9*j - 1. Suppose 261*b = 265*b - 12. Is f(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1359\/221326 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16166, 32448, 48730, 65012, 81294?\nAnswer: 97576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h = -2*h - 18. Suppose 0 = q - h*o - 3551, 2*q - o - 123 = 6969. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of -57*i**5\/10 - 247*i**3\/3 + i**2 + 35. What is the first derivative of p(c) wrt c?\nAnswer: -684*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 27.7 and -0.0418823803.\nAnswer: 27.6581176197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3478 + 3477.7. Let u = -20\/7 + 73\/28. What is the closest to -2\/23 in n, u, -0.4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/630?\nAnswer: -1\/630","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, -33, -104, -203?\nAnswer: -330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 3*b + 2*n + 23 + 2 + 8, 9*b = 3*n - 186 for b.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of 0*f**2 + 102 - 43\/3*f**3 + 0*f. Let u(a) = 3*a. What is d(u(v))?\nAnswer: -387*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + 11*u - 6. Let z be b(8). Suppose 6 = 3*l, -v + 3*l + z = 1. Let w = -3 - -9. What is the remainder when v is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2\/117 + -220\/819. Let d be ((-11)\/(-3))\/((-4)\/(-48)). Let p = -43 + d. What is the closest to p in -0.5, 0, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 243 less than 241?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of 493\/24*k**4 + k**2 + 1 - 311\/60*k**5 - 65\/9*k**3 - 497\/60*k**6 + 7*k + 7\/2*k**7. Let c(z) = 0. What is z?\nAnswer: -1, 2\/21, 1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -97\/88784 + -5\/496. Let a = o + -2122\/2327. Do -1 and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 - 4*q**2 - 8*q - 11. Let a be f(-4). Suppose 0 = -27*n + a*n + 780. List the prime factors of n.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 50\/(-4)*28\/(-5). Suppose 3*v - 4*i = -q, -4*i = 6*v - 3*v + 86. Let k = -11 - v. Solve -2*d = 3*d + k for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-3)*6*(-5)\/(-60).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 + 23. What is the highest common factor of u and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 75\/(-165) + (-16642)\/(-3047) + 2375\/(-475)?\nAnswer: 2\/277","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*g**4 - 3*g - 4*g**3 - 2*g**3 + 13*g**4 - 4 + 4*g**4 wrt g?\nAnswer: 24*g**2 - 36*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**4 + 18*n**3 + 48*n**2 + 32*n.\nAnswer: 2*n*(n + 1)*(n + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 99 = -5*c - 19, 4*h = -2*c + 14. Calculate the greatest common factor of c and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12151000 to the nearest one million.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 6*u**4 - 38*u**3 - 102*u**2 + 182*u - 48 = 0.\nAnswer: -3, 1\/3, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 9*p - 4. Let m(d) = d**2 + 13*d + 25. Let g be m(-11). Suppose -4*z - 6 = 2*f + g*f, -z = -2*f - 5. Let a be c(z). Solve -19 = a*s - 4 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -0*b + 2*b. Suppose h + 0 - 4 = 0. Suppose -h*q + b*q = 0. Solve q*d + 2*t + 3 = -d, 4*d = 4*t + 24 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 0.119 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of o**3\/6 + o - 421. Suppose 3*y + 2 = -1. Let m(r) = 2. Calculate y*c(l) + m(l).\nAnswer: -l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 37*p - 32. Let f(h) = h. Calculate f(d(b)).\nAnswer: 37*b - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004964555 to 6 decimal places.\nAnswer: 0.000496","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 2:24 PM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 8*h - 3 = 0. Let s be 54\/13 - (-28)\/(-182). Let z = s + h. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 233*h + 105 = 240*h. What is the remainder when 207 is divided by h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 3. Let y(z) = 6 + 3 + 2*z**2 - 2403*z + 2390*z. What is the remainder when y(g) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/6, 1\/10, 0.5, -2, -1\/7, 5\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 67068?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 801 is divided by (-4 + 71)*(-10)\/2*(-13)\/65.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -48, -50, -52, -54, -56?\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 5, -23 in descending order.\nAnswer: 5, -11, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/2)\/(22\/(-154)*21\/12)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -11*k + 25. Let m be s(2). Suppose -6 - 5 = o - 4*c, 21 = 4*o - m*c. Solve 0 = -b + 3*v + o, 5*b - 22 - 3 = 5*v for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*1 + (-24)\/(-6). Suppose 11 = d*g - 1. Suppose 12 = 6*m - 2*m. Solve -3*z - g*j = 15 - 6, 0 = z - 5*j + m for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v**2 - 63*v - 48. Is 10 a factor of i(33)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + -1. Let j be (l + (-12)\/(-5))\/1. What is the nearest to 1\/4 in 5, -2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -178.3 - 39.7. Let t = -218.00106 - n. Round t to four dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5718 divided by -2.\nAnswer: 2859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 56\/255275 and -2\/71477.\nAnswer: 1786925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*m = 42*l + 92*m - 627, -4*m = l - 3 for l.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 443603985 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2383159 and 8503.\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -127\/8? (a) 0.019 (b) 202 (c) 0.5 (d) -0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6212 + -6209. Solve -9 = -3*u - v*b, -u - 6*b + 1 = -3*b for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4378606385?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/553 and -45\/4662896.\nAnswer: 4662896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -202319*f**2 + 101159*f**2 - 115 - f**3 + 101160*f**2 + 0*f**3 - 2*f as v + n*f**2 + l*f + g*f**3 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -7*p. Let i(u) = -2076*u**2. Give i(n(g)).\nAnswer: -101724*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1118712 and 126.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e, 1 z, and 1 q when four letters picked without replacement from {m: 1, z: 3, e: 4, f: 1, q: 4}?\nAnswer: 72\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 329023926?\nAnswer: 2, 3, 7, 11, 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 694385?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64235 is divided by 21359?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5324, -5748, -6172?\nAnswer: -6596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppc when three letters picked without replacement from {p: 5, q: 6, t: 2, d: 3, c: 1}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*l = 82*l + 44 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 + 5)*(-55*m**2 - 163*m**2 + 3*m**2).\nAnswer: -1720*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 324520 (base 7) to base 8.\nAnswer: 157026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 divided by -62512498.\nAnswer: 19\/62512498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63528351.\nAnswer: 3, 239, 251, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, w: 4, v: 2, f: 1, l: 1, j: 1}. What is prob of sequence wpv?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 94033*-1*(-11 + (-10 - -20)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15111.055672 + 14849.0561. Let f = -262 - j. Round f to 5 dps.\nAnswer: -0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1680949813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by -13731.\nAnswer: -11\/13731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -28\/5 in -1\/5, -3, -0.1, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39 - -19. Let f = 16 + -15. Let c be ((-28)\/d - 2) + f. Which is bigger: -5\/8 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -411991 divided by 2\nAnswer: -411991\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -39*u - 6 + 41*u + 14 in the form x + n*u and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 46, 51, 60, 73, 90, 111, 136?\n\"Answer: 2*y**2 - y + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.61, -3, 0.4, -0.3 in ascending order.\nAnswer: -3, -0.3, 0.4, 0.61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 + -36 + 62 + -22 - 85.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ivvo when four letters picked without replacement from {i: 11, v: 5, o: 1}?\nAnswer: 11\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 2*j + 3*i + 18 = 0, 3*i + 12 = -j. Is 6991 + (j\/15 - (-42)\/10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k + 16. Let s be x(-8). Let q be (78\/21 - 2) + s\/28. What is the third derivative of 10*z**q + z**5 - 27*z**5 - 47*z**2 wrt z?\nAnswer: -1560*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k - 5 = -181. Solve 4*z - g + 21 = -0*g, 3*z - 2*g + k = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppbbbbpppbpb. Give prob of picking 4 b.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 16 = 2*h, 2*n - 22 = -3*h - 0*n. Solve k - h*k = -20 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6486257227 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 5*z**2. Let g(q) = -133*q**2 - 123*q**2 + 260*q**2. Let k(d) = 7*g(d) - 6*t(d). Let c(x) = -23 + 8*x + 5 + 18. What is k(c(n))?\nAnswer: -128*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, 1, -4, 878 in increasing order.\nAnswer: -4, -1, 1, 4, 878","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 408749 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191*h - 190*h + 6 = 0. Let t be ((-10)\/4)\/(h\/12). Solve g = t*g - 20 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - 7*w**2 - 29*w + 182. Let n be m(8). Let u = 587 - n. What are the prime factors of u?\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or 0.2071737?\nAnswer: 0.2071737","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 111.4 - 109.4. Let p = 136.5 + -136. What is the second biggest value in p, v, 0.13?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*z + 9*z - 32 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-112)\/(-4) - 3) + -1. Suppose 4*p = g + g - o, 3*p = -4*g + 4. What is the smallest common multiple of 20 and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 35 = -2*n, -115*x + 5*n = -185*x - 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 42725890 rounded to the nearest 100000?\nAnswer: 42700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -37? (a) 2 (b) -2 (c) -8123 (d) 0.3 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.7641*-0.039\nAnswer: 0.0297999","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -582, -993, -1000, -399, 1014, 3443, 7092?\nAnswer: 12165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of -q**4\/12 - 2*q. Let t(n) be the third derivative of n**5\/20 + 160*n**2. What is t(w(d))?\nAnswer: 3*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/44)\/((-414)\/9867*26).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4420\/7? (a) 1\/2 (b) 3 (c) 0.3 (d) 4 (e) 30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 419 = -o, -4*o + 0*p = -5*p - 1676. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of t**4 - 2*t**3 - 25347*t**2 - 99286*t wrt t.\nAnswer: 12*t**2 - 12*t - 50694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 4, 3, 6, 0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) -2436.32 (b) 1\/4 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.6 - -2.9. What is the smallest value in 1\/2, 0.02, w?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3384.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3149402 divided by -19\nAnswer: 165758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 386686, 773384, 1160090, 1546798, 1933502, 2320196, 2706874, 3093530?\n\"Answer: -v**3 + 10*v**2 + 386675*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37 and 3609970971?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-54) - 39500\/245295.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19709912 divided by -8?\nAnswer: -2463739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*b**2 - 2*b**5 - 133*b**2 - 68*b**2 + b**5 - b**5 - 2*b**5 + (b**4 - b**4 + b**4)*(-3 + b + 3) - 2*b**5 - 4*b**4 + 4*b**4.\nAnswer: -5*b**5 - 213*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 23202*s - 1963. Is g(12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 - 2*d + 1. Let j be z(4). Let s(k) = k**2 - 9*k + 3. Let b be s(j). What is the third derivative of -2*l**3 + b*l**2 - l**2 + 0*l**2 wrt l?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -3*w - 338. Let b = w + -29. What are the prime factors of b?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 10 = 4*s. Let h be s\/2 - (-27)\/30. Let m = 1 + -3. Which is smaller: h or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 0*b + 2*b + 364 = 0, -2*u - b = -723. Suppose 2*f + 3*f - u = c, 4*c = f - 80. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1 + 3 + sqrt(200)*1 + sqrt(200) + (sqrt(200) - -5*sqrt(200)*2))**2*-5.\nAnswer: -169022 - 2600*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -704 greater than -113?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 650628 and -9493?\nAnswer: 660121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/5 + 24*m\/5 - 56\/5.\nAnswer: 2*(m - 2)*(m + 14)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 5*k - 3 = 1, -n = -k - 1. Suppose 8 = 2*s, 2*s - 8 = 3*r - r. Let w = 5 + -2. Which is the nearest to -1\/4? (a) w (b) r (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 102022 (base 3) to base 6\nAnswer: 1225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 6, -331, 2 in descending order.\nAnswer: 6, 2, -5, -331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p - 793 + 437 - 2*p**3 + 324*p**2 + 355 to g*p**2 + h + o*p + m*p**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 AM and 5:16 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.9? (a) 3\/2 (b) 140 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164333543 is divided by 130?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*d + a + 11, -3*a + 8 = 5*d. Let q be (6\/d)\/((-3)\/(-18)). Let c = q - 0. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1496 = 4*p + 13*p. What is the greatest common factor of 8 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16608693679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -86*g**2 + 105*g**2 - 208*g**2 to the form y + r*g + a*g**2 and give a.\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 7*o**2 - 9*o + 22. Let p be h(-8). Calculate the greatest common factor of 124 and p.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a microsecond in nanoseconds?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1190808890.\nAnswer: 2, 5, 31, 43, 157, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11849 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z**3 + 9*z**2 + 15*z - 1. What is u(6)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -3*q - 10. Let x(o) = -9*o**2 - o. Let h be x(1). Let l = 3 + h. List the prime factors of t(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 3.32763, 14?\nAnswer: 3.32763","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 4, -0.2, -213, 2\/15, 0.06?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 1)*(0*v**4 - 2*v**4 + v**4) + 2*v**4 + 13*v**4 - 6*v**4.\nAnswer: 6*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -179425, -717699, -1614825, -2870803, -4485633, -6459315?\n\"Answer: -179426*m**2 + 4*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, -113, -5, 4 in decreasing order.\nAnswer: 4, 3, -4, -5, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i**2\/4 - 141*i\/2 + 20 = 0.\nAnswer: 2\/7, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**3 + 0 + 0)*(-4 + 9 + 1)*(0*q - 5*q + 3*q).\nAnswer: 36*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of 13*k**5\/60 - k**4\/24 - k**3\/3 + 3*k**2. What is the tens digit of w(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -115 (base 8) to base 10\nAnswer: -77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that z**3\/3 + 59*z**2\/3 - 416*z - 28416 = 0.\nAnswer: -48, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 139 + 116. What are the prime factors of h?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of z**3\/6 + 38*z. Let a(p) = 18*p**2. Calculate a(w(q)).\nAnswer: 18*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14518 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48528000 to the nearest integer?\nAnswer: 6966","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70, 143, 216, 289, 362, 435?\nAnswer: 508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19635 and 297?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26761456*c**2 - 270*c + 9936 wrt c.\nAnswer: 53522912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2928\/16*((-3)\/7)\/((24948\/(-392))\/99).\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 276 = -o + 274 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*(-12)\/(-150))\/((-2)\/10).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -553, -2 in descending order.\nAnswer: 1, -2, -553","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of 2 + 0*s + 17\/3*s**3 + 0*s**5 + 0*s**2 + 0*s**4 - 11\/3*s**6. What is the third derivative of m(z) wrt z?\nAnswer: -1320*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -14*f - 6. Let p be u(5). Let x = p - -120. Is 8 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173218.8 millilitres in litres?\nAnswer: 173.2188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157 = 2*l + 3*a - 209, 2*a - 4 = 0. Is 15 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 93 - 0.04964.\nAnswer: 92.95036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16\/13 + 138\/91. Put 5.5, -1\/4, 0.04, q in ascending order.\nAnswer: -1\/4, 0.04, q, 5.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -912*h - 1548 = -998*h for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b - 1. Let v(a) be the first derivative of -7*a**2\/2 - 6*a + 1. Suppose k - 1 = -7. Let c(l) = k*j(l) + v(l). Let d(i) = -i. Give c(d(q)).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 9:47 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 552919.4 litres?\nAnswer: 552919400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -31121 + -2?\nAnswer: -31123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 1876*u**2 + 438*u**2 + 1441*u**2 + 1.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -18. Let s = j - 5. What is the second derivative of p + 2*p**4 - 2*p - 3*p**s wrt p?\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y + 0*y - y + (83 - 83 + 136*y)*(4 - 2 - 3) - 2*y - 2*y + y.\nAnswer: -140*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 1:26 PM?\nAnswer: 8:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 235351*f - 24711843. Determine c(105).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -5*o + 119, 2*v - 75 = -3*o - v. Calculate the greatest common factor of 4 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/19 (b) 2\/9 (c) -2261 (d) -1\/346\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-845)\/44785)\/((-2)\/(-4)).\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -23.6 (b) 1 (c) -9 (d) 1\/5 (e) 2\/7 (f) -2.13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - (-2 + 30\/5). Let b be 0 + (y - 4\/(-2)). List the prime factors of 4\/2 - (-82 + b + 0).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -104627239*r**3*w - 7846*r**2*w - 2511*r wrt r?\nAnswer: -627763434*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + -4 - 4*4\/(-24). Which is the second biggest value? (a) -0.2 (b) -1\/7 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of -4\/9*z**3 + 14 - 4\/3*z**2 + 16\/3*z + 1\/6*z**4. Factor q(g).\nAnswer: 2*(g - 2)**2*(g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f**2 - 3*f. Let a be u(-2). Let d(m) be the first derivative of -2*m**2 + 3*m - 18. List the prime factors of d(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 u when two letters picked without replacement from lwlpurlpffp?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 57923*k*r*s*w**2 + 2*k*r*w**2 + 4*k*r*w - 109*k*s*w**3 - 3*k + r*w**3 + 11*r*w + 58*w - 2 wrt s?\nAnswer: 57923*k*r*w**2 - 109*k*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 2*i + 27 = -5*u, 0 = -i - 3*u - 14. Let l(h) = -10*h**2 + h. Give l(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of -l**5\/12 - 2*l**2. Let c(s) = -7*s**2 - 5. Let x(o) = -6*o**2 - 4. Let n(u) = 4*c(u) - 5*x(u). Calculate n(g(q)).\nAnswer: 50*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of 5*n**4\/24 + 3*n**2 - 5. Let m(k) be the second derivative of -k**3\/3 + 2*k. Determine m(v(f)).\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (20\/(-12))\/(-1)*-3. Let v(o) = 2*o**2 + 3*o. Let s be v(b). Suppose h - 3*h = -10. Solve h*x = 5*i - 26 - 24, 4*i = 3*x + s for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -340760 divided by -5.\nAnswer: 68152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99, -107, -115, -123, -131?\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 + 3*v - 3*v)*(1 - 1 + 2*v) - 30*v**3 + 131*v**3 + 144*v**3 + 29*v**3 + (-3 - 3 + 3)*(-9 + 9 - v**3).\nAnswer: 275*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5712.922 + -5771.7. Let t = s + 59. Let c = t + -0.2220322. What is c rounded to 6 dps?\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -17050 and -1180.5?\nAnswer: 20127525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 268050735.\nAnswer: 3, 5, 1985561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 126 + -126. Suppose d = -65*p + 64*p + 412. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/89068 and 11\/438?\nAnswer: 19505892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 6 - 16 = 0. Let b be -3 + -6*(-1)\/j. Let n(i) = 2*i - i + b*i. Let y(c) = c**2. Calculate n(y(m)).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/242 and 20\/16 + (-9)\/(-12) - (-430)\/(-176).\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - 0 - -2 - -10. Let o = h + -7. Let w(r) = r**2 + 6*r - 2. Let v be w(-7). Solve 10 = -o*k - v for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266.6852 litres in millilitres?\nAnswer: 266685.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.12 equal to 2452?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 - 10*u**2 - u + 13. Let p be n(10). Suppose 0 = 4*f + p*q - 49, -2*f = -0*q - 2*q - 14. Calculate the remainder when 29 is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 + 6*a - 5. Let g(t) = 2*t**2 - 18*t + 15. Let w(d) = -3*g(d) - 8*x(d). Let s be w(-4). Is s smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a century in months?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 14\/6 - (-11)\/(-11). Suppose t - 1 + 0 = 0. Is t < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -125 - -1792016?\nAnswer: 1791891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j. Let v(f) = -f**2 + 2*f. Let a(s) = -2*n(s) - v(s). Let h(t) = 8*t - 3*t + 4*t - 2*t. Give a(h(x)).\nAnswer: 49*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**3\/7 + 328*h**2\/7 + 5220*h\/7 - 64800\/7.\nAnswer: 4*(h - 8)*(h + 45)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 437 - 434. Solve v = -d - 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.1 times 0.3?\nAnswer: -1.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 314682 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.08482676 rounded to 1 dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 889470987 to the nearest integer?\nAnswer: 962","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = -6*h + 2, -h + 11 = -3*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1103 - 310?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-56)*2)\/1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 45768, 91531, 137294?\n\"Answer: 45763*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 20*f**2 - 2*f + 47. Let p be y(20). Let o = 45 - p. Calculate the highest common divisor of 266 and o.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5139*o = -5141*o - 4*u - 54, 5*o - 7*u - 52 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*u = 31*u - 180. Let z = -105.98 - -106. Which is the closest to z? (a) 4 (b) 1\/2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22*l**4 - 50*l**3 + 3672*l - 22015740 with respect to l.\nAnswer: -88*l**3 - 150*l**2 + 3672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-84)\/8)\/(-1)*8\/12\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.4024 to one decimal place.\nAnswer: 8.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -126 divided by -42.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26587*n**3 - 53490*n**3 + 27019*n**3.\nAnswer: 116*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 5:54 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rpe when three letters picked without replacement from rrpe?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 17 = -4*f, -f + 20 = 74*a - 70*a. What is the remainder when f is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11568 a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/1152 and -137\/5094432?\nAnswer: 20377728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 - 3)*(-5*g**2 - 21*g**2 - 2*g + 14*g**2) to o*g**2 + z*g + t and give o.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = 6*o - 2. Let g = 1 + -4. What are the prime factors of 4\/2 + (-131)\/(g - o)?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -81, 17513, 4 in ascending order.\nAnswer: -81, 4, 17513","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -446 - -450. Let y be t\/(-20) - (-77)\/35. Calculate the highest common divisor of 4 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17911*z + 564*z**2 - 6 - 17911*z)*(5 + 2*z - 5)*(2 - 3 + 2).\nAnswer: 1128*z**3 - 12*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -457167384 divided by 369\nAnswer: -1238936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -n**4\/4 - 24955*n**3\/2 + 32554847*n**2\/4 - 1318614231*n = 0.\nAnswer: -50556, 0, 323","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s**2 - 48 + 28 + 5*s**2 - s + 18 in the form k*s**2 + d*s + g and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**4 + 5741*u**3 - 9311580*u**2 + 179942256*u + 6967198051776.\nAnswer: -(u - 2148)**3*(u + 703)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*m - 384 = 8*m. Sort m, -5, 1, 5 in descending order.\nAnswer: 5, 1, -5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 0.3 (b) 2\/9 (c) 7 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (4*sqrt(112)\/sqrt(2))\/(-2*sqrt(1008) - sqrt(63)).\nAnswer: -8*sqrt(2)\/27 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2488476 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -8374400 to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 - 21*a - 23 + 230*a.\nAnswer: 209*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -275 + 348. Calculate the remainder when 213 is divided by m.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2013)\/30 - -1) + (-22)\/(-220). Which is smaller: n or -1113\/17?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u**3 - 28 + 83 - 32 - 23.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -4*h + 0*h - 5*h + 0*h + 7*h. Let y(l) = 10*l**2 + 3*l - 3. Let c(q) = 20*q**2 + 5*q - 5. Let s(j) = 6*c(j) - 10*y(j). Determine t(s(m)).\nAnswer: -40*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u, 1 o, and 1 p when four letters picked without replacement from {u: 3, p: 3, o: 1}?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from abqbrwbwbqbvqbbqwbwb. What is prob of sequence bq?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1969, 3708, 5219, 6502, 7557, 8384, 8983?\n\"Answer: -114*j**2 + 2081*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 79 + 19 = -4*w, 75 = 3*w - 3*j. Suppose 2*i + 18*o = w*o + 1702, 2*i + o = 1702. Is i a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 4. Let f(w) = w + 12. Let x be f(-11). Which is bigger: x or o?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1046 (base 10) to base 11.\nAnswer: 871","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 2:49 PM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00432330203 to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + ((5 - 18) + -15 - -32).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 1869?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/20 and (52\/56)\/(1 + 6\/4)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - ((14 - 17) + 2).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17623503*a**2*w + 10*a*w + 190403281*w with respect to a.\nAnswer: 35247006*a*w + 10*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 59*c + 218. Let t be m(-7). Which is smaller: -584\/3 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8814*m**2 + 4*m + 260941 wrt m.\nAnswer: -17628*m + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 7 - 8, p = -2*m - 3. What is the second biggest value in 0, m, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 9 + 13 = 0. Let d(s) be the first derivative of -16*s + 13\/2*s**2 + 231 - 1\/3*s**3. Give d(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12469 is divided by 104.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - 2*l**2 - l - 3. Let f(q) = -q**3 - 5*q**2 - 3. Let c be f(-5). Let k(a) = a + 7. What is the least common multiple of r(c) and k(0)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + 8*i**2 + 17*i - 165. Calculate b(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 542*g = -287*g - 22383 for g.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -3. Suppose 5*r = g + 9, -3*g + z*r + 2 = 3. Find the first derivative of 2*m + g + m - 2*m wrt m.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 5*b + 5*f, 4*f = -b - 0 + 16. Let n(l) = -178*l - 13. Let m be n(-4). Suppose -b*w + m = 179. List the prime factors of w.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(1\/(12\/(-30))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 8*u**2 - 24*u - 4. Let a be z(3). Let y(n) = -1114*n - 35. Is y(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4053793853 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 10 = -5*a. Let z = 489 + -488. Solve a*s = z + 9 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 11) to base 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - 9456*l - 198871. Give n(-21).\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 8*z = -72. Let s = -13 + z. Find the second derivative of b + 7*b**3 - 2*b + s*b**3 + 4*b wrt b.\nAnswer: 108*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/226380 and 73\/1625820.\nAnswer: 17884020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.32 + 81.32. Let h = v + -79.2. What is the closest to 8 in -2\/3, h, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -382, -1213, -2598, -4537, -7030, -10077?\nAnswer: -13678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cglmflgfcmmcflcl. What is prob of sequence mglm?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 176.2, -10, 0.716, -5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*i - 18 + 18.\nAnswer: 11*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of 0*o**4 + 47 + 2\/5*o**5 + 0*o**2 - 49*o - 16\/3*o**3. Differentiate b(u) with respect to u.\nAnswer: 8*u**3 - 32*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 12:16 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xgkgookwok. What is prob of picking 1 k and 2 g?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -77*c**3 + 2*c**2 - 1. Calculate w(-1).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 89*a + 1. Let q be i(-1). Let n = -63 - q. Suppose 3*h + 4*d = d + 9, 5*d - n = 5*h. Is -2 >= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1225*z**3\/8 + 508515*z**2\/8 - 7263*z + 415\/2 = 0. Calculate z.\nAnswer: 2\/35, 415","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 14375 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*a = 579 - 69 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(135) + -1*sqrt(135))\/sqrt(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3937*b - 7755. Is u(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.19 - 0. Sort -0.3, s, -5.\nAnswer: -5, -0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 8:11 PM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 2*h - 11. What is the common denominator of 8\/(-5)*15\/h and 35?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/36 and -17\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = t + 2. Let k = 85 + -42. Suppose -53 = -t*p + k. Is p a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5 times -1.718?\nAnswer: -2.577","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101*z**3 + 0*z**3 - 12*z**3.\nAnswer: -113*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 17 - 41. Suppose 5*d - 4 - 19 = 4*f, -3*f - z = -2*d. What is the third derivative of 2*t**2 + 2*t**3 - 4*t**3 - 3*t**3 - 14*t**d wrt t?\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 200*z**2. Let d(x) = 4*x**2. Calculate d(j(m)).\nAnswer: 160000*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -4*r + 112. Give f(23).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22012 + -102121000020?\nAnswer: -102121022102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 22092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -14*r + 63*r - 19*r - 12*r - 17*r. Let k(c) = -612*c. Determine k(t(d)).\nAnswer: -612*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 152290795177 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 2069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 4280353.56 minutes?\nAnswer: 424.63825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*z**2 + 23904*z - 90727 wrt z.\nAnswer: -8*z + 23904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, 1843, 173\/11.\nAnswer: -0.04, 173\/11, 1843","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 53266*f + 159787. Determine r(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 36386.562 to the nearest 10.\nAnswer: 36390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 1 - ((-1 - -58) + (101 - (60 + 44)))\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*((1 - 5) + 2). Suppose z + 18 = k*z. Let r be 3\/2*(40\/(-15))\/(-2). Solve z = 2*u + r for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - -9. Let d = 12 - -10. What is the smallest common multiple of f and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 - 10*d - 12. Let r be z(-8). Let i = 7 - r. Suppose b - i*b = 0. Solve -j - 2*j + 15 = b for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 601 divide 1272130089?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -91*i - 9 + 41*i + 9*i**2 + 253*i + 9 as c*i + g*i**2 + t and give g.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**(-2\/3)\/g))**46*g**(-7)*g**(5\/3)\/g*g)**23 assuming g is positive.\nAnswer: g**(8096\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = 5*j + 5*n + 17, -n = -5*j - 67. Let x = 18 + j. List the prime factors of x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -4*l**3 - 180*l**2 - 279. What is the thousands digit of h(-48)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 4:29 PM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -742743, -1484856, -2226969?\nAnswer: -2969082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 34 + (-4 - 6)*-7*2\/20\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 767839?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 989 less than 46.7709?\nAnswer: -942.2291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of x**5\/60 - 5*x**4\/24 + 5*x**3\/6 - 29*x**2. Let h(g) = -g + 1. Let l = 1 - -2. Let r be -2 + 2 + -1 + 0. Give l*h(j) + r*p(j).\nAnswer: -j**2 + 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -13198*h - 673145. Calculate i(-51).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 4 - (1 - (0 + -2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 9:15 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4*x + 32 = -0*x, 9 = -3*x. Let q be ((-2)\/5)\/(2\/20). Let l be 8\/(-10)*p\/q. Solve 2*b = -l*b - 20 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 32777740?\nAnswer: -1\/6555548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 4*a + 1. Let p be o(1). Let m = -3 - -2.9. Let k = 2742 + -2742.2. What is the closest to k in m, -3\/2, p?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/1 - 51\/12)*8\/36.\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 5*l + 6705, 3*w - 4015 = 2*l - 7*l. Solve 1342*r + 6 = w*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 12) to base 11\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (134\/335)\/((-18)\/(-10)). Put 0.5, 7, 12, m in descending order.\nAnswer: 12, 7, 0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18\/8 + -6 - -4. Let g = -7 - -2. What is the second smallest value in i, g, 0.4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -5, -3*d + 40*r - 45*r = 28. Let y(f) = f - 7. Let a = -3 + -2. Let q be y(a). Put d, q, 0 in decreasing order.\nAnswer: 0, d, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -0*c + c + 5*n, c + n = 7. What is the greatest common divisor of c and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30 + -25. Put 1, -2, k in ascending order.\nAnswer: -2, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -7*g**2 + 232*g - 4139. Let v be d(17). Which is greater: 0 or v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/12 - 51269*c\/12 + 479556.\nAnswer: -(c - 112)*(c + 51381)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1\/4, 2, 5, -8, -5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -2*p + 4, 0 = w - 1479*p + 1482*p - 12 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of 15*t**5\/2 - 5*t**4\/8 + 16*t**3\/3 + 5*t**2 - 1. What is the hundreds digit of q(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of -n**4\/12 + n**3\/2 - 17*n**2 - 2*n. Determine p(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 66 + -40. Is 13 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 5 = -b. Let l be -1 - (0 + b - 2). Let t(w) = -l + w - 2*w + 4 - 1. Let v(k) = 3*k - 3. Determine -4*t(g) - v(g).\nAnswer: g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -29, 19, -4\/9, -9175?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7554335km in centimeters?\nAnswer: 75543.35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 11:27 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129*b**2 + 80*b - 80*b.\nAnswer: 129*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -330*i - 2655. What is d(-8)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 90, 764, 2600, 6180, 12086, 20900?\nAnswer: 33204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1023005 (base 6) to base 8\nAnswer: 141355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1709597?\nAnswer: 1091, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**0*x)**(-6\/5)\/(x\/((x\/(x**11\/x*x))\/x*x)*x**(3\/7)\/x) assuming x is positive.\nAnswer: x**(-407\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + x**2 + x - 1. Let v(g) = -4*g**3 + 4*g**2 + 4*g - 5. Suppose 3*n = 4*d - 31, 0*n - 3*n - d = 11. Determine n*p(j) + v(j).\nAnswer: j**3 - j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24666145 is divided by 85.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of -4*p**7\/7 - 4*p**4\/3 - 24*p. What is the third derivative of k(w) wrt w?\nAnswer: -1440*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.84 - -0.04. Let n = x + 0.6. Let q = n + 3.2. Which is the closest to 1\/3? (a) 0.1 (b) q (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140 = -82*w + 68*w for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/(-25))\/((-51)\/935).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27108374*o**3 - 2*o**2 + 4*o - 29090 wrt o?\nAnswer: -162650244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -152*(-16)\/(22 - 14). What is the highest common factor of a and 400?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 792 and 43956.\nAnswer: 87912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 3027, 0.3, 1, -0.4, -1.6, -0.39, 4?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1000 (base 5) to base 8\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/9746 and -127\/792?\nAnswer: 350856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(51)\/sqrt(3) + -3 - (2 + sqrt(51)\/sqrt(3)))**2 - (sqrt(153)\/(6*sqrt(9)*-1))**2)*6.\nAnswer: 883\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = d - 3*p - 9, -2*d - 5*p = -220. What is the greatest common divisor of 6 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49506248?\nAnswer: 2, 11, 19, 29, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 9565454, 38261830, 86089132, 153047366, 239136538, 344356654, 468707720, 612189742?\n\"Answer: i**3 + 9565457*i**2 - 2*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 294942821 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 7:42 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10\/9 + 13\/9. Let m(g) be the second derivative of 0 + 2*g - 1\/18*g**4 + j*g**2 + 0*g**3. What is f in m(f) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -30, -42, -56, -72, -90?\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 = 3*i - 108. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2)*b)\/(b*b\/((b*b**(2\/17)*b)\/b)))**(2\/11)*(b**4\/b*(b*b**7)\/b)\/((b**(-6)\/b)\/(b*b**(-6))) assuming b is positive.\nAnswer: b**(2180\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 10 = -4*x - x, 10 = 5*x - l for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/3 + 286*o\/3 - 95.\nAnswer: -(o - 285)*(o - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -126.3 + 0.182.\nAnswer: -126.118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 + 7*x - 16. Let d be -14 - 16\/24*(-30)\/4. Give l(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1800 a factor of 179629200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 254\/415 + -1\/83. Let u = 4 + -2. Let t be 4 + 116\/(-14) + 4. What is the third biggest value in q, t, u?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11310705131 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139*w + 128 + 407*w - 130 + 132*w + 338*w.\nAnswer: 738*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, n: 2, u: 2, q: 6}. Give prob of picking 2 u and 1 s.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 + (-12 - -17) + -7 + -14 + 2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -4*u**3 - 6*u**2 - 3*u - 2. What is c(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of 13*l**3\/6 - 8*l. Let r(z) = -2*z**2. What is r(g(m))?\nAnswer: -338*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a week in hours?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -20, -3, -4, 3, -3\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 352924782?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {v: 9, q: 2, b: 2}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**3)\/(j**(13\/2)*j)*(j*j*(j\/j**(-2\/7)*j)\/j*j)**(1\/8))**(-3\/16) assuming j is positive.\nAnswer: j**(753\/448)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + 2\/12*21\/3. What is the third biggest value in j, 2\/11, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 1237 = 3*q, 8*q = 12*q + 5*p - 1661. Calculate the greatest common factor of 36 and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/((-15)\/14) + 5.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 15759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 18684930 and 5.\nAnswer: 93424650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*v = 1236 + 1433 for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17496010?\nAnswer: 2, 5, 7, 249943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204)*3)\/sqrt(6))\/(sqrt(16)\/(sqrt(8)*1)) + -2.\nAnswer: -2 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-13 - -9) + 3)\/(2\/(-4)). Find the third derivative of -1442*w**r + 4*w + 2*w - 121*w**4 - 25*w**4 + 1417*w**2 wrt w.\nAnswer: -3504*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 6. Let q(j) = 67*j**2 + 1. Is q(p) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 5 = d, -578*d = -579*d - 5*x + 55. Suppose 79 = -4*g + 2*g - 5*p, 4*p = -4*g - 128. Let v = d + g. What is the nearest to -0.1 in v, 1, -0.27?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 300.9 to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -355594 or -355590?\nAnswer: -355594","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.0289+0\nAnswer: -0.0289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of 29 - 1\/8*v**4 + 1\/12*v**3 + 0*v + 0*v**2 + 1\/20*v**5. Factor f(y).\nAnswer: y**2*(y - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**3 + 55*l**2 + 140*l + 3054. Calculate a(-27).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 381 = 326 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*q**3 - 57*q**3 - 161*q**3)*(-4*q + 0*q + 6*q).\nAnswer: -400*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(1 + 0\/(-3)). Let o(w) = -w**2 + w - 1. Let h(z) = z**3 + 7*z**2 - 5*z + 5. Give m*h(d) - 5*o(d).\nAnswer: -d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -52.76 - -54. Round d to 1 dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14676731759 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 3*k - 34 - 20, 2*k = -2*r - 40. Let l = r - -41. What are the prime factors of l?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(1900) - (sqrt(1900) + 2 - sqrt(1900))) - sqrt(1900))**2 - (-2 + sqrt(475) + (sqrt(171) + (sqrt(171) - -1*sqrt(171)))\/sqrt(9))**2.\nAnswer: -48*sqrt(19) + 696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.7 + -2.3. Put 1, o, -1\/10 in ascending order.\nAnswer: o, -1\/10, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11.2998 - 1.7002. What is the closest to 3 in -6, -2, 4, p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = -39*z - 19*z + 244, -y - 4*z - 603 = -622 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -87 - 82 - 64*a + 258 - 85 - 8*a as g + d*a and give d.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.9? (a) -3\/7 (b) -1\/14 (c) -7.87\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2.1248 and -882.\nAnswer: -884.1248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 2:31 PM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/5 - 64979*a**2\/5 + 210507920*a + 98448990528\/5.\nAnswer: (a - 32536)**2*(a + 93)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 1 + 1 = 0. Let o be (8\/(-6))\/(n\/6). What is the units digit of (o\/(-6))\/((-2)\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -144, -460, -938, -1578, -2380, -3344?\n\"Answer: -81*b**2 - 73*b + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5289 + -555349\/105. Let z = c - -26\/21. Let u = -263\/15 + -23\/10. What is the common denominator of u and z?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 294 - 69. List the prime factors of l.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -555 + -95. Let m = t - -1203. What is the hundreds digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50 + 42 + -229 + 133?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -1\/2938189?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 10) to base 15.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 5*r. Let g(n) = -78*n. Let k(c) = g(c) + 15*l(c). Let o(s) be the second derivative of -s**3\/3 - 2*s. Determine k(o(u)).\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 9*h + 29. Let s be g(4). Suppose 74*b - s*b + 18 = 0. Let a be (-4)\/(-14)*(-18)\/4. Which is smaller: a or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 249 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u - 2. Let y(r) = 3*r**2 + 30*r + 6. Suppose -4*f + 2*a - 44 = 0, 5*f + 6*a = 8*a - 54. Let z be y(f). Determine w(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b - 36 = -10*b. Suppose -5*t - 10 = 2*d - 7*d, 4*t - 5*d = -b. What is the biggest value in t, -0.4, -0.88?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -128, -439, -1040, -2027, -3496, -5543, -8264?\nAnswer: -11755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2591488635?\nAnswer: 3, 5, 6917, 24977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**5 + 3*b**5 - 5*b**5 + (0 + 0 - 2*b**2)*(-b**3 + 3*b**3 - b**3) + (-3*b + 4*b - 2*b)*(8*b**4 - 136*b**4 + 40*b**4).\nAnswer: 85*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-5)*(-6)\/((-54)\/(-1))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6372 divided by -12.\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1232 and 350?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tnnxtxnnttxxtxxxxttt. Give prob of sequence tt.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 11) to base 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -288\/11 + 1149\/44. What is the common denominator of -1*(-1 - -1) + 6695\/1236 and l?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -37018*q**3 + 49327.\nAnswer: -111054*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-2*sqrt(8) - sqrt(8))*1)\/(sqrt(4) + (sqrt(4) - sqrt(44)\/(sqrt(11)*-1))).\nAnswer: -sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166 = -w - 6. Suppose t - w = -t. Let g be 1\/(-13) + (-783)\/(-39). What is the highest common factor of t and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 54 = i - 2*i + 240*v - 917, 14 = 2*i - 2*v for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 58435.08ml in litres?\nAnswer: 58.43508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(343)*1 + -3 + -5)**2.\nAnswer: -2442 + 672*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -k**5\/30 - k**4\/8 + k**3 - 2*k**2. Let a(h) be the first derivative of d(h). Find the first derivative of a(w) wrt w.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q**2 - 9*q + 13*q + 4*q**2)*(2*q + 3*q - 6*q).\nAnswer: q**3 - 4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of 0 + 1\/2*x**2 + 1\/4*x**4 + 0*x**3 - 3*x. Differentiate t(j) with respect to j.\nAnswer: 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7269 - 7296) + 1 + 10.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -6. Which is the nearest to 0? (a) 5 (b) 1\/3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 PM and 11:42 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.24 and -12302.\nAnswer: -12301.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n = -1087*z + 1085*z + 4*n - 30, n = -5*z - 20 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*k + 2*k - 10 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-22 + 63 - 93) + 43\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1\/2, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7771 - -12860. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kxkmmxxxxmxkmkkx. Give prob of picking 1 x and 3 k.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -s + 1350, -3*s - 2*f + 6069 = 2019. Suppose -7*y + s = -8*y. Round y to the nearest one hundred.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 16, 0.4, -2\/3, 1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1290\/66 - (-24)\/(-44). What is the greatest common divisor of y and 6023?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7, d: 9}. What is prob of sequence da?\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 381 or 382?\nAnswer: 381","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1\/4, 0.32, 10\/7, -0.2 in descending order.\nAnswer: 10\/7, 0.32, -0.2, -1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*z + 3*s - 212, 4*z + 2*s = -190. Let r = 407 + z. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/sqrt(800).\nAnswer: sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.126 - -65.874. What is the nearest to -0.2 in -3\/2, j, 3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 4:36 AM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2*v - 82 = 0, 0 = -0*g - 3*g - 2*v + 226. Suppose -z + g = 2*z. What is the remainder when 94 is divided by z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j + 3933873 - 3933873. Let r(v) = -390*v**2 - 91*v + 91. Let a(x) = -13*x**2 - 3*x + 3. Let s(h) = -182*a(h) + 6*r(h). What is s(t(p))?\nAnswer: 26*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 + 40*h**2 - 175*h + 6. What is z(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -548643 divided by -682\nAnswer: 548643\/682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-4)*4 + -6. Suppose 0 = -3*g - i - 9, 4*g + 4*i + i + 1 = t. What is the smallest value in 0.05, -7, g?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 40395 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133*k - 637*k + 5*k**3 + 3*k**3 - 5*k**3.\nAnswer: 3*k**3 - 770*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -3*v - 1. Let h(x) = -x**2 + 3*x + 1. Let z(i) = -4*h(i) - 3*w(i). Let f(o) = 13*o**2 - 8*o - 3. Determine 3*f(t) - 8*z(t).\nAnswer: 7*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25232*n**3 + 2730*n?\nAnswer: -151392*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5*12.863\nAnswer: 64.315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fourty-three halves of a kilogram?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -3990.57 to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - (-1948)\/12)\/((-172)\/(-21156)). Is g >= 19722?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -513.03 + 508. Let m = -1 - -1.03. Let c = m + p. What is the smallest value in 1\/2, c, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 + 7*x - 4. Let f be d(5). Let s = 6 + f. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -305448 by 12.\nAnswer: -25454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 3)*(-2*h**3 - 2*h**3 + 3*h**3) + 5*h**3 - h**3 - 3*h**3.\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1\/35, -5, 5, -144, 0.1.\nAnswer: -144, -5, -1\/35, 0, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qp when two letters picked without replacement from {x: 1, q: 2, e: 1, g: 5, p: 6}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -110*j - 133*j + 729 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6 - (2 - 3 - -2). Suppose 4*k - a*k = -83. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91880 divided by -40?\nAnswer: -2297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-z**2 - 2*z**2 + 2*z**2)*(-226*z + 226*z - 14*z**2) as a + t*z + k*z**3 + x*z**4 + f*z**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, 53 in increasing order.\nAnswer: 2, 4, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kzizfafiiiifiiizmiii. Give prob of sequence akzm.\nAnswer: 1\/38760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1666) - (sqrt(34) - sqrt(4896)*2))\/(sqrt(2) + 5*sqrt(8) + (sqrt(44)\/sqrt(2))\/sqrt(11)).\nAnswer: 3*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wy when two letters picked without replacement from {w: 7, y: 5, e: 4, b: 3}?\nAnswer: 35\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(3\/2)\/(s\/(s\/s**(1\/9))*s))\/((s\/((s**10*s)\/s)*s)\/s*s\/(s\/((s\/(s**(-2\/5)*s))\/s))*s) assuming s is positive.\nAnswer: s**(809\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.557898 millilitres in litres?\nAnswer: 0.009557898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -122 (base 13) to base 9\nAnswer: -238","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16361, -15995, -15629, -15263?\nAnswer: -14897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.05 - -1.25. Let f = -1.4 + c. Suppose 0 = 4*g - 4, -5*g + 2*g + 13 = -2*j. What is the third biggest value in f, 3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 14 = -2*c + 5*c, -5*p - 184*c + 16 = -187*c for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00021148265 to seven dps.\nAnswer: -0.0002115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 24 = -0*k. Let s(y) = y**3 - 18*y**2 - 16*y - 28. Let c be s(19). Find the third derivative of 27*v**2 + 34*v**k + 40*v - 69*v + c*v wrt v.\nAnswer: 4080*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -17*t + 9. Determine p(3).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 28.7226452 to one decimal place.\nAnswer: 28.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -34, 4 in decreasing order.\nAnswer: 4, 1, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7433 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 20\/5810*(-14)\/(-24). Let x = t + 6961\/5478. What is the common denominator of x and 83\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c394 + -19a?\nAnswer: c1c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2872, -5792, -8712?\nAnswer: -11632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 6*s**3 - 11*s**2 + 11. Let q(x) be the first derivative of -x**4\/4 + 2*x**3\/3 - 2*x + 3. Determine -33*q(r) - 6*y(r).\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 29599.00731 rounded to zero decimal places?\nAnswer: 29599","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -15725, -31466, -47215, -62972, -78737?\n\"Answer: -4*r**2 - 15729*r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3016*q**2 + 2985*q**2 + 3047*q**2 - 8908*q**2 + 3 - 3.\nAnswer: 140*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -126122, -126178, -126270, -126398?\n\"Answer: -18*n**2 - 2*n - 126102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1*-2298\nAnswer: 2298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - 15\/10)\/(28\/112). Factor -3\/2*o + 1\/2*o**s - 2.\nAnswer: (o - 4)*(o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*o**2 - 33*o**2 + 21*o**2 - 18 in the form s*o**2 + m*o + g and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -69*x - 352, 3*x = -50*y + 54*y - 43 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 4*t - 2474, -1028 = 3*z - 2*t - 3510. What is the greatest common factor of 10 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 296, -2, -3, -11, 2, 208, 1 in ascending order.\nAnswer: -11, -3, -2, 1, 2, 208, 296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1400\/3 - -467. Let h(q) be the first derivative of 0*q**2 + 0*q - d*q**3 + 3. Let g(a) = -12*a. Give g(h(k)).\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*l - 6 + 13 - 6.\nAnswer: -17*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o. Let u(y) = -y - 432979. Give u(w(c)).\nAnswer: 2*c - 432979","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6776362 to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + 6*c**2 + 4*c + 4. Let m be l(5). Suppose 5*n + 2*s = -s + 257, -3*s + m = n. Suppose 11*v - 14 = n. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 - 6)*(3*t - 5*t + 0*t)*(-4343 - 4812 + 8447) to the form a*t + k and give a.\nAnswer: -9912","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3863.0537701 + 0.5092299. Let j = 3887.6 - m. Let a = j - 24. Round a to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 4*q + 399*q**2 + 58 - 115 + 61 in the form d + v*q + w*q**2 and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1613 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60 is divided by 759\/(-22)*(-2)\/3.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*i + 4 + 8*i - 34*i + i as q + l*i and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 + 4 + 9*l**2 + 23*l**2 + 13 - 12 as o*l + i + x*l**2 and give x.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21.309 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 43, 71, 99, 127, 155?\n\"Answer: 28*o + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4442 = -16081. Let q = -174679\/15 - r. Find the common denominator of q and -19\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 67752 by -2.\nAnswer: -33876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1036 + -1511. Let b = z + 670. What is the remainder when b is divided by 63?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32 - 33. Let n = -171 - v. List the prime factors of n*(24\/(-10))\/6.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 5*b**3 - 113*b**2 - 49*b + 61. Determine z(23).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 16*c**2 + 16*c - 8. Determine q(-2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/16))**(1\/4) assuming r is positive.\nAnswer: r**(1\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -12 - (-2 + 3 + -5). Which is greater: f or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 67 = -8. Let x be (0 + 5)*(-12)\/m. Solve -31 = -5*z - 3*d, x*z - 5*d - 10 = -0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0*(0 + -1))\/2. Let j(s) = -s**2 + 557. Let b be j(h). Let o = b - -2343. Round o to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from fdtdcctcctttdatdttdc?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 55087 - 55084.99585. Let i = -5.05 - -7.05. Let q = v - i. What is q rounded to 4 dps?\nAnswer: 0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*d + 4*a + 13, 0 = -d + 1765*a - 1764*a + 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3172850160 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c - 6. Suppose -365*y = -360*y + 20. Let z(t) = -t**3 + 3*t**2 - 2*t + 1. Let o be z(2). Let i(s) = 5 + 6 - 2*s - o - 5. Give y*i(d) - 3*x(d).\nAnswer: 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -11*p + 37. Let a(n) = 32*n - 4. Is a(p) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(2) - (sqrt(2) + 1*sqrt(200) + sqrt(2) + sqrt(2))) + -2*(1*sqrt(20) + sqrt(20))\/sqrt(10).\nAnswer: -16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1517\/15 - -101. Sort 4, -2, d in descending order.\nAnswer: 4, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -88 - -93. Suppose -s - 4*m = -156, 0 = s - d*m - 152 - 31. What are the prime factors of s?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 139.19 - 142.19. What is the nearest to -1.3 in 0.5, y, -1, 23?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 14) in base 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1529?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/30 and -35\/2994?\nAnswer: 14970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 773*r**3 - 10*r + 50?\nAnswer: 4638*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 3*g - 5, 126*l + 3*g - 56 - 868 - 219 = 0 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*o**5 - 10*o**4 - 27*o**3 - 3605*o.\nAnswer: -120*o**3 - 120*o**2 - 162*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.357702 rounded to 3 decimal places?\nAnswer: -1.358","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 2, 3, 4, 5, 6?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -87\/2, -0.5, -4, 0.5 in descending order.\nAnswer: 0.5, -0.5, -4, -87\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 1. Suppose -2*m + m = -v. Solve 0*k**2 + 2\/5*k + 0 - 2\/5*k**m = 0 for k.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 337134 (base 14) to base 2\nAnswer: 110101010110011001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1092 = -362*h - 492 - 4570 for h.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*t - 592400 = 7462*t for t.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/81 and -63\/4.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6170, -12356, -18544, -24734, -30926?\nAnswer: -37120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2262583 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 - 3*i + 9. Let c(b) = 2*b + 26. Let z be c(-15). Let v be l(z). What is the greatest common divisor of v and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 33660 = -2*q. Let u be 7\/((-7)\/q) + 1. Let x = u + -12116. Round x to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 377, 712, 1049, 1388?\n\"Answer: t**2 + 332*t + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -4*u - 8*c + 3, 3*u = 3*c - 18. Let y = -75 + u. Let r = -36 - y. Is 3 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dcxxgdgtotggggg. What is prob of sequence ddt?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 6. What is the common denominator of s - 1 - 63\/154 and 1\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 2*z - z)*(3 - 3 - 9*z)*(22*z + 2*z - 77*z).\nAnswer: 954*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -91e (base 16) in base 4?\nAnswer: -210132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3317753 is divided by 3072?\nAnswer: 3065","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20740?\nAnswer: 2, 5, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42\/29 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -779*o + 778*o = -2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n + 29. Let p(v) = 127*v - 3417. Let c be p(27). Determine t(c).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-13 + 10 - -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 8 - (-2652 + 2692).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 - 78\/10)\/((-69)\/1150). Suppose 0 = 15*a - 13*a - w. What is the highest common divisor of a and 360?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**4\/2 - 154*r**3 + 3230*r**2 - 16400*r.\nAnswer: -r*(r - 10)**2*(r + 328)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + (-7 - (0 + -3) - (-2 + 1))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/4 and -39\/1131613.\nAnswer: 4526452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of t**3\/3 - 3*t**2\/2 + 2*t + 1. Let l(n) = 4*n**2 - 12*n + 9. Let x(j) = -4*l(j) + 18*y(j). Is x(6) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 12*q**2 - 2*q - 6. Let n be d(3). Suppose n*w + 265 = 101*w. Calculate the remainder when 154 is divided by w.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**2*q**8*(q*q**(1\/6))**(-1\/23) assuming q is positive.\nAnswer: q**(1373\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 528\/47101?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52985 is divided by 92?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9403057?\nAnswer: 17, 73, 7577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 5. Suppose m - 4*w = -l*m + 49, 5*w - 10 = 0. Let g = -28 + m. Is 15 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1140? (a) 141 (b) 4 (c) 2\/107\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 3*v - 109, 4*v + 3*i - 58 = 2*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 - 15*p - 49. Let g be x(-9). What is the second derivative of 22*v**2 - 22*v**2 + 3*v + 8*v**g + 2*v wrt v?\nAnswer: 160*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -29, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 20. Let n be (3\/2)\/((-2)\/4). What is the units digit of (-2)\/(((-9)\/v)\/n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence th when two letters picked without replacement from {t: 3, i: 1, h: 5}?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139885463.\nAnswer: 139885463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14906466277 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 224 (b) 1\/2 (c) -19 (d) 4 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 12 = -9. Solve 0 = v*u - 6, 6 = -5*h + 5*u - 9 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 5. Let t = 15.8 - 15.752. Let r = t - 0.048. Which is the closest to r? (a) k (b) -11 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.96 + -0.04. Let s = 25 + -127\/5. Which is the nearest to s? (a) -5 (b) n (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - -33 - -13 - (-1 - (3 + -7)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.4 - 1. Let r(x) = 3*x + 38. Let t be r(-12). Let k = 9 - 13. Which is the nearest to -1\/3? (a) t (b) k (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 204559, 409120, 613685, 818254, 1022827, 1227404?\n\"Answer: 2*x**2 + 204555*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 706790 and 70679?\nAnswer: 706790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (15\/10)\/(6\/20). Suppose -w = -n*w. Suppose 5*h + 9 - 74 = w. List the prime factors of h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -11*v**3 - 61*v**2 - v + 6. Let m(r) = -7*r**3 - 62*r**2 - r + 5. Calculate -3*d(s) + 4*m(s).\nAnswer: 5*s**3 - 65*s**2 - s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 3 w when four letters picked without replacement from wwhmw.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -56*m**4 - 36*m**4 + 26*m**4 + (-2*m - 1 + 1)*(-261*m**2 + 261*m**2 - 19*m**3 + 3).\nAnswer: -28*m**4 - 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 1344 = -5*z, 0*w + 666 = 2*w + 4*z. Suppose -3*q = -4*u + 598, -u = q - 4*u + 196. Let k = q + w. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -151514625 divided by 375?\nAnswer: -404039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8500 by -5.\nAnswer: 1700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45)\/sqrt(324) + (0 + sqrt(5))*-4 - (-5*(sqrt(605) + sqrt(605) + 2*sqrt(605)) + -2)**2.\nAnswer: -242004 - 5303*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1*sqrt(209)*3 - -6*sqrt(209)*-2)\/(sqrt(11) + sqrt(44)*4 + (sqrt(11) - -1*sqrt(11)*-1))*-2.\nAnswer: -20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of -5*a**3\/3 - 3*a. Let l(p) = p - 14586 + 14586. What is h(v) + 6*l(v)?\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/5 or -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 69836718197 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56 and 248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/51, -2, 2\/5 in decreasing order.\nAnswer: 2\/5, 1\/51, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 3*t + 185 = 5*r, -3*r + 2*t = -111. Let a = 44 - r. What is the remainder when 39 is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41, 98, 201, 356, 569, 846?\nAnswer: 1193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of -3*y**5\/20 - 129*y**4\/8 - 1849*y**3\/4 + 23. Factor k(b).\nAnswer: -3*b**2*(b + 43)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 974 + -987 + 6\/58*252\/2?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 4*z**3 + 38*z**2 - 119*z + 16. Determine w(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 + 5*x**2 - 7)*(-321*x - 947*x - 55*x - 957*x) to h*x**3 + q*x**2 + t*x + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 32189a3 (base 11) in base 2?\nAnswer: 10101100110101000101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-9) + 380\/171?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 9257*u - 9250*u + 16 = -18506*u, -2*m = 12*u - 22 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of -25*o**7\/42 - o**6 - o**5\/4 - 14*o. Suppose j(q) = 0. Calculate q.\nAnswer: -1, -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12001 (base 5) in base 2?\nAnswer: -1101101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3340 and 32.\nAnswer: 26720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t + 22138. Let q(b) = -26*b. Calculate q(u(f)).\nAnswer: -26*f - 575588","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 - 22*o + 3. Determine x(-23).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 55*c**5 - 685*c**4 - 635*c**3 + 3065*c**2 + 1660*c - 1300 = 0.\nAnswer: -2, -1, 5\/11, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 206*h**2 - 5016*h + 196. What is v(228)?\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (16\/(-10))\/(2\/(-5)). Let m(j) = 16*j + 4*j**2 + 17 + 3*j**2 - 6*j**2. Let h be m(-15). Solve 0 = -5*f + y + 22, -h*f - y + 25 = i*y for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5629.9 - -5630. Which is the third biggest value? (a) 2 (b) 6504 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-31 - (3 + 0))) + (2 - -15) + -26?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -22.6 (b) -12 (c) 9\/380\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1608883 is divided by 25?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 14) in base 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22061 is divided by 140.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -20193 >= -20192?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**2 + 5*x + 4. Let j be k(-3). Let r be -1*(0 - 2 - j). What is the remainder when (-50)\/3*r\/18 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h - 3. Let u be w(7). Let r(b) = b**3 - 6*b**2 - 2*b - 2. Calculate the remainder when r(7) is divided by ((-8)\/4)\/(2\/u).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 253997*g + 253879*g - 507853*g.\nAnswer: 23*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -69 + 120. Let g(a) = 4*a + 2. Let p(y) be the third derivative of -11*y**4\/8 - 17*y**3\/6 - y**2 - 10*y. Let k(q) = w*g(q) + 6*p(q). What is k(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*j**3 - 11039*j + 3890*j**2 + 18*j**3 - 4000*j**2 - 11*j**4 wrt j.\nAnswer: -132*j**2 - 6*j - 220","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*c, 2*k + c = -3*c + 4. Suppose 20 = -k*l, 3*o + 4*l + 5 + 9 = 0. What is the third derivative of 2*d**o + 2*d**4 - 4*d**2 - d**2 wrt d?\nAnswer: 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f**2 - 12577*f + 2724*f - 1 - 2173*f + 0.\nAnswer: 5*f**2 - 12026*f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*g**3 + 863*g**2 - 2*g + 14451162.\nAnswer: -45*g**2 + 1726*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5469, -5471, -5473?\n\"Answer: -2*h - 5467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 3:13 PM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -361 + 597. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 488 (b) 1\/6 (c) -2 (d) -7 (e) -131 (f) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29992 and 184.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*u - 25*u**2 - 208*u**4 + 82*u**4 + 2*u - 18*u**2 wrt u?\nAnswer: -3024*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -7 - -4 - (1 - 46)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184 = 3*m + 2*h, -h + 0*h = -2*m + 132. Is m a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-6 - -9) + (-22)\/(-6)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 2*a - 25 - 6, -2*j = -5*a - 24. Let x = 2 + -1. What is the derivative of -j*l**3 - x + 9 + 3 wrt l?\nAnswer: -21*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69484.3*-0.5.\nAnswer: 34742.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-12)*2*6\/8.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.6 - -0.3. Let r = 44.3 + -47. Let u = r + o. Which is smaller: -0.1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) 0.04 (b) 1 (c) -2 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -l + 3*k - 3, k - 4 = 0. Let a(d) = -2*d**3 - 9*d**2 - d - 6. Calculate the remainder when a(-5) is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 184, -1, 4 in decreasing order.\nAnswer: 184, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -57518 + 86269. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1158909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 335 - 332. Suppose 5*w - 29 = -18*z + 22*z, w + l*z - 2 = 0. Solve -10 = c + 2*x, -w*c = -3*c + x + 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182987 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 31*g - 478. What is w(15)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 5*w + 2 + 6 = 0, u + w - 2 = 0. Solve -4*v + b = 9, v - u*b - 2 = 3*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 36*x**2. Let t(l) be the third derivative of 99*l**5\/20 + 92*l**2 - 4. Calculate t(o(h)).\nAnswer: 384912*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2*j - 36 = 0. Suppose -4*s = j, 13*h - s + 27 = 15*h. What is the highest common factor of h and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 539*p - 560*p = -42. Solve 0 = -2*l + 2*a - 2, -p*a = -5*l - 6 + 7 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - 4*a + 0 + 9*a**2 - 8 + 20. Calculate the remainder when b(8) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/7? (a) 1\/8 (b) 0.4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ezzjssjjsssmsszj. What is prob of picking 2 s and 1 j?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 415577434?\nAnswer: 2, 207788717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396)*2 + 3 - 1*2*sqrt(396))*-5 - (4 + 2*sqrt(396) - sqrt(396) - ((sqrt(396) - sqrt(396)*1) + 2))*2)**2.\nAnswer: 456*sqrt(11) + 1945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -151 + 424 + 0*w**2 - 18 + 281 - 2*w**3 - 2*w**2 to m*w**2 + o*w**3 + a + q*w and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 804*b - 800*b = 0. Solve -4*t + k = -b*k + 21, t = 3*k - 19 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 49\/1396?\nAnswer: 49\/1396","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2167.5 + 2168. Let o = -4 - -2. What is the closest to 3 in o, 0, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-1338)\/1561)\/(313\/(-84)*2) and -62\/5.\nAnswer: 1565","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s + 5. Let m be k(9). What is the nearest to 0 in 0.3, 3\/7, m?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 212, 4, 5, -2, -5 in decreasing order.\nAnswer: 212, 5, 4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -262*l**3 - 5*l**2 + 2*l**2 - 835 + 956 + 1590 wrt l.\nAnswer: -786*l**2 - 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -132706036*d**3*m**3 + 2541*d**2*m**3 - 675*d**2*m**2 - 5*m**3 wrt d.\nAnswer: -796236216*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 132 by -1.\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29 + 51. Suppose 4 = d - b - 0*b, -2*d + 3*b = -7. Suppose d*a = 4*a + 86. Calculate the remainder when a is divided by h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/(7 + -3 - 3). Let y = n - 3. Suppose -7 - 5 = y*j, 0 = -o + 5*j + 18. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7, 6, 2\/9?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**4 + 27*b**3 + 102*b**2 + 72*b.\nAnswer: -3*b*(b - 12)*(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 w, and 1 z when three letters picked without replacement from mieiizemzixzzw?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-5)\/(u\/u**1*u))\/(u*u**(-1\/4))**(-7)*((u*u**(-1)\/u)\/(u**4\/u*u))\/((u*u**(-1\/2))\/u**(5\/2)) assuming u is positive.\nAnswer: u**(-15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u**2 + 948 - 441 + 1066 to the form k + h*u + z*u**2 and give k.\nAnswer: 1573","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -50134035 divided by 7\nAnswer: -7162005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -5*l**2 + 6617000*l - 2189234450000 = 0.\nAnswer: 661700","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 0 (c) -0.6 (d) -466175\/7 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*z**3 - z**4 + 7*z**2 + 4*z - 7*z**2 + 0*z**2 - z**2 as c*z**3 + v + q*z**2 + o*z + j*z**4 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-150460)\/(-125)*(-10)\/(-1564). Let n = f + 3\/782. Find the common denominator of -81\/112 and n.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33491611?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Convert 23011332003 (base 4) to base 12.\nAnswer: b82a83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (7951 + 811 - 3704)*(2*j**2 - 2*j**2 - 2*j**2) as t + a*j**2 + n*j and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-1*sqrt(320) + sqrt(320) + -3 + sqrt(320)*1*-6 - -3*(sqrt(320) - 6*(sqrt(320) + -1))*1))**2.\nAnswer: -5040*sqrt(5) + 141345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 - 21. Let p = k - -5.6. Let i = -4 + 5. Is i bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -19. Suppose q - 20 = -4*z, z + 3*q + 2 = -4. What is the smallest common multiple of z and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 32\/6 + 1\/(-3). Suppose 3 = -r - 3*a, 2*a - 3 = -5. Solve -i*t + 1 - 11 = r, -4*l + 2*t + 4 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 + 3*t**2 + 4*t. Let q(r) = 0 + 2*r + r - r - 7. Let g be q(5). What is the tens digit of w(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -390808542\/13 or -30062196?\nAnswer: -30062196","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 34 = -6. Suppose q = -4*w + 5*w. Is 17 a factor of ((-51)\/6)\/((-2)\/w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20*t**4 - 36432*t**3 - 53526*t + 4.\nAnswer: -240*t**2 - 218592*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-2)\/(-36)*48\/8\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -17641 < -17641?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 181 - 123. Let b = -45.5 + t. Let i = b - 12.4894. What is i rounded to three dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -28 (b) -0.4 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (732\/(-2562))\/((-3)\/21).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(x\/(x*x*(x\/(x*x\/(x\/(x\/(((x\/x**5)\/x)\/x)))))\/x)))\/x*x)\/(x\/x**0)*(x*x*x\/((x\/x**(-1\/3)*x)\/x))**(11\/5) assuming x is positive.\nAnswer: x**(-7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 11:04 PM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 367 and 6239.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 6:47 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6463266?\nAnswer: 2, 3, 757, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1146819*p**3*z**2 - 115*p**3 + p**2 - 2*p*z**2 - p + 35*z - 1045167 wrt z?\nAnswer: -2293638*p**3*z - 4*p*z + 35","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1611 - -1611. Let d(l) be the second derivative of 0*l**4 + 0*l**2 - 21\/20*l**5 + 2*l**3 - 6*l - 3\/10*l**6 + w. Factor d(i).\nAnswer: -3*i*(i + 1)*(i + 2)*(3*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5265 and 8728.\nAnswer: 13993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*q - 454 = 572 - 6. Let m(i) = 2*i**2 - 10*i - 2. Let o(r) = 5 - 29*r + 3 + 6*r**2 - 14. What is q*m(a) - 6*o(a)?\nAnswer: -2*a**2 + 4*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b - 4. Let t be y(8). Suppose 4*f - 3*x = -7*x + t, x + 14 = 4*f. Is (2\/f)\/(4\/42) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((3 + sqrt(45))*-5)**2.\nAnswer: 2700*sqrt(5) + 8100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -22*c. Let z be d(-5). Suppose 6 = -3*k, 4*k - 162 = -4*t + 270. What is the second derivative of t + 6*h**2 - z - 7*h wrt h?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1368\/11339 + -2\/667. What is the second biggest value in 1, b, -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39937342 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2582 and 595681601?\nAnswer: 1291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*u - 160 = -18*u. Suppose 3*z = 5*z + 48. Let j = u - z. Solve -4*s - j = -4*v, -1 - 10 = -s + 4*v for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((4*(-1 + sqrt(832)))**2 + sqrt(832)) + ((sqrt(832) - (-1 + 2*sqrt(832)))**2 - (5 + (sqrt(832) - (1*sqrt(832))**2))))*-5.\nAnswer: -3600*sqrt(13) + 191620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 18*d**2 + 15*d - 24. Let x be -4 + 9 - (12 - 0). Is v(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 452527831 to the power of 1\/2, to the nearest integer?\nAnswer: 21273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -157200, -1257660, -4244632, -10061376, -19651152, -33957220, -53922840?\nAnswer: -80491272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/12)\/(49\/(-42) - -1). Let b = -2\/227 - 145\/9307. Which is smaller: h or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3 - 2)*(10*g - 3 + 2*g + 0) - 2 + g + 2 - 3*g - 2*g + 3*g + (g + 2*g - 4*g)*(0 - 3 + 5) as z + p*g and give p.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b**2 - 13*b**2 + 4*b**2.\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 270\/12 + 3\/2 and 6435?\nAnswer: 51480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.69725 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*10\/2*28\/35.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ia when two letters picked without replacement from aiiiaiia.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 298, 692, 1244, 2032, 3134, 4628?\nAnswer: 6592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + 8\/10 + -2. Which is bigger: 0.1 or g?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -344*r**3 - 1551284*r**2 - 7819892*r - 360360 = 0 for r.\nAnswer: -9009\/2, -5, -2\/43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 464591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 1\/2 (b) -9\/5 (c) -3.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -614 (base 12) in base 15?\nAnswer: -3da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 827 = 3*i - 223. Suppose i = -4*r - 3*r. Let c = -29 - r. What is the remainder when 39 is divided by c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fwfi when four letters picked without replacement from mifmmifwwfmmwimiwww?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22941 is divided by 89.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {w: 1, y: 1, c: 3, e: 5}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 - -14. Which is the nearest to 0.3? (a) 0.3 (b) m (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1475854t in kilograms?\nAnswer: 147.5854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c4 - -10c?\nAnswer: 1d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 + 5*p + 9. Let c be 2\/12 + ((-77)\/(-42) - -2). Calculate s(c).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 13*j**3 + 11*j**2 - 10*j - 1. Let y be (-12)\/(-6)*3\/(-2). Let m(k) = -k**3 + k**2. Let n(c) = y*m(c) + x(c). Is n(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12323397.\nAnswer: 3, 4107799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 224*w - 188*w + 18449*w**3 - 18450*w**3 - 1 + 2*w**4 + 3*w**2 - 2 to the form q*w**2 + d*w + c*w**3 + g + a*w**4 and give d.\nAnswer: -412","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -11*f + 73. Let z be w(6). Suppose -2*s = 3*x - 2 + z, 10 = -s - 4*x. Suppose -4*i - 526 = -2*t + 1752, 5707 = 5*t + s*i. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7559362.\nAnswer: 2, 151, 25031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4110 divided by 41\nAnswer: -4110\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37247 or -19349?\nAnswer: -37247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -6339 divided by 10\nAnswer: -6339\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -2\/19, 0.4, 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-47)\/(-2) + (-3)\/(-6). Suppose 5*o = 241 + q. What are the prime factors of o?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o\/o**15*o*o*o\/o**(-41) assuming o is positive.\nAnswer: o**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1838475 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 0, 3, -3, 2 in descending order.\nAnswer: 13, 3, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 101270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 19479*o + 29. Is j(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 4 (c) -0.3 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54 + (-9 - (4 + -1) - -18 - 16).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/170 and 59\/3630.\nAnswer: 61710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -421*o = -431*o - 40 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8961 = 58*t + 29*t. Which is greater: -101 or t?\nAnswer: -101","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1260411259 to the nearest integer?\nAnswer: 1080","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39 - 38.7. Which is the nearest to 0.1? (a) l (b) -0.5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1243963075*f**3 + 1075334571 wrt f?\nAnswer: -3731889225*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*p**3 - p**3 - 5*p**3)*(2*p + p - 2*p) + (-583 + 50*p + 583)*(-p**3 - p**3 + 0*p**3) in the form g*p**3 + m*p + a*p**2 + h + y*p**4 and give y.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 168 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192 is divided by 76?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x. Let f(d) = d + 1. Let l be f(1). Let k(a) = -2*a + l*a - a - a. Calculate k(j(t)).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of -w**7\/30 - w**3\/3 - 15*w**2\/2 + 7*w. Let n(c) be the first derivative of z(c). Differentiate n(p) wrt p.\nAnswer: -28*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*2 - (-12 + -3). Suppose -f = i*f - 72. Solve 4*t + 19 = -3*h, f*h - 6 = 4*t + 6 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**4 + 3*l**4 - l**4)*(1 - 4 - 5).\nAnswer: -8*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 116*j**6 + 2*j**2 - 19 wrt j?\nAnswer: 13920*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 + 1)*(12*b + 22*b**3 - 12*b)*(1 + 0 + 0 + (1 + 0 + 0)*(0 + 2 - 4) + 5 - 2 - 1 - 1 + 16 + 2) as k*b**2 + y*b**3 + h*b + q and give y.\nAnswer: -396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 197*z + 6. Is 18 a factor of g(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + k**2 - k - 2. Let i(t) = -27*t**3 - 9*t**2 + 66*t + 18. Let o(s) = -i(s) - 9*j(s). What is the second derivative of o(r) wrt r?\nAnswer: 108*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + -1. Let p be r + -4*1 + 3. Suppose 127 = -11*k + p*k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -68 - -48. Are r and -20 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(((-966)\/(-14))\/(-23)*-47).\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 28*f**4 + 176*f**4 - 417*f**4 + (-2*f + f + 2*f)*(f - f + 3*f**3) + 2*f**4 - 2 + 2.\nAnswer: -208*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**3 + 3877*d**2 - 38595*d - 290025 = 0.\nAnswer: -5, 15, 3867","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1093641, 1094253, 1095273, 1096701, 1098537, 1100781?\n\"Answer: 204*u**2 + 1093437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 95, 442, 1011, 1796, 2791, 3990, 5387, 6976?\nAnswer: 8751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2.923 and 1.7877.\nAnswer: 4.7107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 412767?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 249, 447, 645?\nAnswer: 843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -619*b - 6258 - 6264 + 12531 to the form p*b + g and give p.\nAnswer: -619","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 13 = 2*c, 3*r - 15 = -5*c + 8*r. Suppose 7*y + c = -24. Let o(z) = -6*z + 17. Let i(j) = j - 3. Let b(s) = 34*i(s) + 6*o(s). Determine b(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 + -c?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1647 = -19*p + 2047 - 3143 for p.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 959809 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-22)\/56 - (-6)\/24. Which is the smallest value? (a) -1\/3 (b) s (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -182337, -729438, -1641275, -2917848, -4559157?\nAnswer: -6565202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 13*h + 20. Let n(x) = x + 1. Let u be n(-2). Sort h, -4, u in descending order.\nAnswer: u, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(72\/(-32)))\/((-4)\/6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -398 + 223. Let t be 5*(-10)\/w*7. Suppose -k - 3*k = 2*p - 36, -t*k - 5*p = -2. List the prime factors of k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 2*u - 5. Let m be (-5)\/2*(u - -1). Let w(q) = -q**3 + 5*q**2 - 4*q - 2. Let d be w(4). Which is the closest to 1\/2? (a) d (b) m (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*k - 20*k - 4*k**2 - 4*k - 16*k.\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - 4*j**2 - 2*j - 3. Let h be r(-4). Suppose 4*c - 106 = 3*z, h*c = 3*z + 47 + 84. Solve 4*p + 18 = -2*f, -4*f = -5*p - 7*f - c for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -8986.8 and 66.\nAnswer: -8920.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*s + 11 + 33. Which is the closest to s? (a) 0.3 (b) -3 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*p + 24, -80 = -5*b - 5*p. What is the greatest common divisor of b and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -56681?\nAnswer: 56686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2111101 (base 3) in base 6?\nAnswer: -12231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, 254, 1, 0, 5 in increasing order.\nAnswer: -5, 0, 1, 4, 5, 254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 4*c + 20, 0*n = -2*n - 3*c + 13. Suppose 5*p - 25 = 4*x, -n*p + 18 = p - 3*x. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u - 934. Let t(i) = 5*i + 3733. Give 2*t(f) + 9*w(f).\nAnswer: f - 940","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2108236 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 2 (c) -86 (d) -5\/4 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 28, 4, 2 in decreasing order.\nAnswer: 28, 4, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eshehhishsi. Give prob of sequence eieh.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(-10) + 1\/(-5) - -17. Suppose -o + 3 = -s. Suppose 0 = -2*r + s + 115. Does 16 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, c: 6}. What is prob of picking 2 s and 1 c?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 365 != -5\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16)\/(-42)*(-364)\/(-104)*21. Let y(a) = -2*a. Let q be y(-1). Let l(j) = -7*j - 10 - j**q + p - 14. Determine l(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 3*t + 2*t**2 + 2*t**2 + 12 - 6*t**2.\nAnswer: -2*t**2 + 3*t + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/40 of a gram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of -i**4\/4 + i**3\/3 - 2*i**2 - 7*i - 451. Determine j(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 - 1)*(-113393 + 581*l + 113393) as k*l + n and give k.\nAnswer: -1162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52025, -208127, -468297, -832535?\nAnswer: -1300841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 10:09 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 38246239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -1228, 0, -25.\nAnswer: -1228, -25, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(18\/(-3)))\/(72\/1080).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3)*1*1)**2 + -4)*-5 + 1*5*sqrt(432)*-1.\nAnswer: -60*sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/400 and 11\/31600?\nAnswer: 31600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 17 = r + 6*t, -4*t = 4*r - 20 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120 (base 3) to base 2.\nAnswer: -1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1937 - 1932. What is the smallest value in -5\/12, j, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.168624 micrometers to kilometers.\nAnswer: 0.000000004168624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*z**2 + 26*z**2 + 16*z**2)*(7 + 1 + 6).\nAnswer: 966*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 284308 and 53788?\nAnswer: 1990156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -26*x**4\/5 + 447350364*x**3\/5 - 2565671164808136*x**2\/5 + 4904931651501516485284*x\/5 - 1131907167559287507486\/5 = 0.\nAnswer: 3\/13, 5735261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 4*k**2 - k - 11. Let d(y) = -3*y**2 + 2*y + 10. Let t(a) = -4*c(a) - 5*d(a). What is t(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26752 divided by 6382?\nAnswer: 13376\/3191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, x: 2, v: 1, k: 1}. Give prob of picking 2 x, 1 v, and 1 p.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of -1485*n**4\/4 + 2002*n**3\/3 + 1699. Find the third derivative of m(t) wrt t.\nAnswer: -8910","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24774 - 24770. Which is the fourth smallest value? (a) u (b) -1\/18 (c) 3\/2 (d) 1.3 (e) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 55*o - 45*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, -328, 3 in ascending order.\nAnswer: -328, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of 0 + 0*g - 40*g**2 + 0*g**3 - 1\/60*g**4 + 1\/150*g**5. Factor u(r).\nAnswer: 2*r*(r - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 12) to base 3\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 484\/(-33) + 2 + 13\/(-3)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 72 = -14*p, 910*b - 906*b - 24 = -4*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 2*k = 40, -2*k - 3*k = 3*z - 55. Suppose 0 = 3*q + 3*h - 36, 0 = 5*q - h - 12 - 18. Let r = z + q. What are the prime factors of r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -46a5b1 + -1?\nAnswer: -46a5b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 1296597.7183 to the nearest 10.\nAnswer: 1296600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qtttttttqqhhttwq. What is prob of picking 2 h and 1 t?\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.023318091 rounded to three decimal places?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1052.429 years to months.\nAnswer: 12629.148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 145, 556, 1241, 2200, 3433, 4940, 6721?\n\"Answer: 137*f**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 4.3. Let r = m + 2. What is the smallest value in r, -3\/4, 3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 745824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 6 + (-1 - 1 - (-51 - -55))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 PM and 6:11 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.8 (b) 2\/9 (c) 0.1 (d) 1\/3 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57 + 65 = -2*t - 2*r, -5*t - 4*r - 22 = 0 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 6*l**3 + 2*l**3 + 2*l - 5 as p + a*l**3 + u*l + c*l**2 and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 3. Let m = -12.8 - -12. Let v = m - -0.7. Which is the closest to v? (a) 0.2 (b) -1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -37.2532?\nAnswer: -3.72532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.28 minus 0.05291?\nAnswer: -0.33291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2289661 to the power of 1\/3, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1841067472 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 17 = t - z, -t - 28 = -5*z for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/9 (b) 1\/4 (c) 2\/1577\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -9*7\/9*-3. What is the greatest common divisor of b and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73128 = 10301*n + 251794 + 233374 for n.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.01 (b) 738 (c) -3\/4 (d) 1\/7 (e) -1 (f) -0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y**2 - 5*y + 7. Let p be m(-6). What is the remainder when (-693)\/(-5) + 21\/p is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -56\nAnswer: -16.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110 - (66 + 8 + -49).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2100210 - 22010?\nAnswer: -2122220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 67625596 a multiple of 643?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3318.\nAnswer: 2, 3, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 148, 4\/355, 1\/9.\nAnswer: 4\/355, 1\/9, 148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 988246218?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/8 + 15861\/(-136). Let j = -111 - f. Suppose 5*o + 4*m - 56 = 6, 3*o - 52 = 5*m. Calculate the least common multiple of j and o.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 4:04 PM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0*170.89\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103 is divided by 33?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-35)*(-1 - -3 - -3).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -7*u**2 + 1 + 0*u**2 + u**3 - 4*u - 3*u**2 + 4*u**2. Suppose 0 = 4*a - 3*a + 2*i - 5, 4 = -4*i. Calculate the remainder when y(a) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -93 and -1633?\nAnswer: 151869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*341\nAnswer: 34.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.117 to 0 dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 5:53 PM?\nAnswer: 11:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(66)\/(sqrt(6) + sqrt(18)\/sqrt(3) + sqrt(6)))**2 + 5.\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 7:41 PM?\nAnswer: 9:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 9*m = -13*m. Which is smaller: -0.2029 or m?\nAnswer: -0.2029","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2316 times 2\nAnswer: -4632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -668*l**2 + 492*l**2 + 520*l**2 + 214*l**2 to k*l**2 + q + y*l and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9679.341 grams in milligrams?\nAnswer: 9679341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide (-252 - -922)*(-12)\/10*-31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 - 1)*(0*w**2 + 2*w**2 + w**2) + 125*w**2 - 353*w - 2 + 188*w + 166*w)*(3 - 1 - 3).\nAnswer: -122*w**2 - w + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -963, -83, -4, 20, 4 in decreasing order.\nAnswer: 20, 4, -4, -83, -963","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2111 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 + 9 = -4*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 2:29 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 k when two letters picked without replacement from wdwdkdwndkkdk.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 740*(-6 - 119\/(-14))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 13*u**2 + 13*u + 8. Let l be w(-12). Which is the third biggest value? (a) -3 (b) l (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*k = 2853 - 189. What is the greatest common divisor of k and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/3 - 9068*d + 54412\/3.\nAnswer: -(d - 2)*(d + 27206)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 215836 to the nearest integer?\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 - r**2 + 2*r - 17. Determine l(0).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7929 and 52173.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-20)\/(-15) - (-46531)\/(-75)) + -2. Let l = -621 - i. Let v = 1\/4 + 11\/20. Which is the third smallest value? (a) 1\/3 (b) l (c) 2 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -33, 0.\nAnswer: -33, -5, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express t**3 + 2*t**3 + 4*t**3 + (-4 + 0 + 2)*(-158*t - 41*t - 2*t**3 + 81*t) in the form z*t**3 + c*t + g*t**2 + l and give z.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 792*i - 1080 wrt i?\nAnswer: 792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -2*h - 5, -10 = -h + 2*h - 2*w for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.8, -39, -0.6, -4, 3?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -88 - -81.3. Let a = -6.7061 - t. Round a to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 + 37. Let t(v) = v**2 + 45*v - 193. Let x be t(-49). Let f(b) = -7*b + 11*b + b - x*b. Determine f(k(q)).\nAnswer: -2*q**2 + 74","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/7 + 189356*d**2\/7 - 189354*d\/7.\nAnswer: -2*d*(d - 94677)*(d - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -617 (base 9) to base 5\nAnswer: -4002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19292 - -19343. Solve 0 = 21*x - 4*x - h for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.7 - 3. Let r = d + -0.7. Let o = 0.1 - 0.2. Which is the third biggest value? (a) 0.3 (b) r (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 + (6 - (-4 + (9 - -4))) + 9.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 22011332231201?\nAnswer: 22011332231130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -8*j**3 + 8*j**2 + 14. Let p(o) = 24*o**3 - 23*o**2 - 43. What is -6*p(f) - 19*x(f)?\nAnswer: 8*f**3 - 14*f**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10555924 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + 0. Let f(k) = 84*k - 49*k - 33*k. Let l(d) = d. Calculate n*f(y) - 4*l(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j + 4*j = 3*j - 4*j + 5, 3*p + 6 = -4*j + 10 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.311 - -0.111. Let j be 4\/18 - 0\/35. Let o = 0.22 + -8.22. Put k, o, -2\/5, j in decreasing order.\nAnswer: j, k, -2\/5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1027749967 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, -97, 0.5, -0.04, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*((w\/(w*w**(-38)))\/w)\/w))\/(w*w**8))\/(w**(-1\/49)*w\/((w\/(w\/w**(3\/8)))\/w)) assuming w is positive.\nAnswer: w**(-18269\/392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 50*b**2 - 5*b**3 + 57*b**2 - 123*b**2 + 46*b**2 + 1 in the form w*b**2 + j*b + g*b**3 + z and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1141697861 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, 0.5, 757.668, 1.1 in increasing order.\nAnswer: -4, 0.5, 1, 1.1, 757.668","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3685 and -0.2.\nAnswer: 737","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - -8. Suppose 0 = -4*r - 4*c + 3 + 13, 2*r - c = 14. Calculate the remainder when p is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2 + 54*j + 427.\nAnswer: -(j - 61)*(j + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5812728*o**4 - 6*o**2 - 36*o - 1331?\nAnswer: 139505472*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 212 and 6201?\nAnswer: 24804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-87 - -79)*266\/(-224)?\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 - 3.1. Let o = -3.7 - -4. Let r = -0.1 - -0.2. What is the second biggest value in r, o, t?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a minute in seconds?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80755 is divided by 3499.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2801 less than -0.388342547?\nAnswer: -2801.388342547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 62 times -0.45\nAnswer: -27.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - -1770) + (36\/21)\/((-4)\/(-14)). Calculate the greatest common divisor of b and 999.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i**4 + 1108*i**3 - 4496*i**2 = 0. Calculate i.\nAnswer: -281, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 184, 316, 440, 550, 640?\n\"Answer: -r**3 + 2*r**2 + 133*r + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1940, -3879, -5820, -7763, -9708, -11655, -13604?\n\"Answer: -g**2 - 1936*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -2934037 and -2934039 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -0*q + 16. What is the highest common factor of 96 and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11310 (base 6) to base 4.\nAnswer: 121122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4*g - 12 = 0. Let n(c) = -c**2 - 2*c + 15. Let j be n(13). Calculate the least common multiple of g and j\/(-15 - -11) + (-1)\/(-1).\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**15)\/(h*h**(-19)*h) assuming h is positive.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*m*y**3 + 219*m*y - 36*y**4 + 5 wrt y?\nAnswer: -42*m*y - 432*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (576\/126)\/8 - (-8)\/(-14). Solve q = 11*g - 1 + 12 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/2936486 and 45\/178339.\nAnswer: 214363478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**5 - d**4 - 2*d**3 + 2*d**2 + d - 1.\nAnswer: (d - 1)**3*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 w when three letters picked without replacement from {i: 2, h: 10, u: 1, w: 3, o: 1}?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-14)\/105*(-3587331)\/236790. Let i = 1\/47358 + x. Calculate the common denominator of i and -61\/6.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from gcggfgf.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000078144 rounded to seven decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-46 - -97) + -52 - -24.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35827300 divided by 8956825.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r - w - 45, 14*r + w = 5*r + 3*r - 49 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -2, -4.41?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000734 to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1320 - 1245. Let b be ((-105)\/(-20))\/(3\/(-8)). Let t = 16 - b. Calculate the greatest common divisor of h and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1169)\/(-26720))\/((91\/(-6))\/(-13))\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1791 is divided by 74.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 1\/2 (b) 2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f**2 + 1 + 0*f**4 - 2*f**2 + 3 + 2*f**4 + 4 = 0. What is f?\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r + 23. Let x(i) = -i - 11. Let b(l) = -3*w(l) - 7*x(l). Let u be b(-6). Sort u, -3, -4 in descending order.\nAnswer: u, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -49, -119, -227, -379, -581?\nAnswer: -839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -17173, -1\/3, -0.4, 2 in descending order.\nAnswer: 2, -1\/3, -0.4, -1, -17173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -73 + 165. Is 35 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97 = -17*i - 107 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -5.05. Let q = 11.05 - z. Let y = 15 - q. Which is the second smallest value? (a) 5 (b) -5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -57556656 from 123420.\nAnswer: 57680076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7382*d*h**2*k**3 + 2*d*h**2*k - d*h + 46*d - 5*h**2*k - 30*h**2 - 2*k**2 wrt k?\nAnswer: 44292*d*h**2*k - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**3 - m**2 - 2. Let i be f(2). Let p = -89 + 89. Suppose -2*v + 5*v + 5*j - 7 = p, 0 = 5*j - i. Sort -26, -3, v in increasing order.\nAnswer: -26, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d + 17. Suppose 0 = -4*q + 3*v + 22, 5*q + 0*v + 4*v - 43 = 0. List the prime factors of w(q).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 229787612?\nAnswer: 2, 37, 1552619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - 19)\/(469\/(-77) - -6). What is the greatest common divisor of 525 and m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*g + 156 = 0. What is the remainder when g is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 165 - 165. Suppose 6*p = -m*p + 120. What is the smallest common multiple of p and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 4, -3, 0, 156, -9.7 in ascending order.\nAnswer: -9.7, -3, 0, 0.1, 4, 156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(2\/45)*s**(6\/7))\/(s**6)**(-2\/23) assuming s is positive.\nAnswer: s**(16913\/7245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8264276353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -6*(-6*sqrt(1100)*2 + 1 + -3*sqrt(1100)*-2*-3))**2.\nAnswer: -14400*sqrt(11) + 35640016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 4*w**3 + 69*w**2 + 18*w + 25. Let n be c(-17). Suppose o + n = 5, o = -3*v + 15. Solve 9*h = 6*h + v for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123585.\nAnswer: 3, 5, 7, 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1044.311 plus 90804421?\nAnswer: 90805465.311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of 1081*t**8\/112 + t**6\/60 + t**5\/30 + 161*t**4\/12 - 1910*t**2. Find the third derivative of n(u) wrt u.\nAnswer: 194580*u**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x - 2. Let t be (-9)\/((-4)\/((-8)\/3)). Calculate the lowest common multiple of a(t) and 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 524, 4154, 14012, 33212, 64868, 112094?\n\"Answer: 519*y**3 - 3*y + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*(-8)\/576*-16*-3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vuubuvvuuvuvb. What is prob of picking 2 v and 1 u?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + 40*x - 164439. Calculate u(-426).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 2*z + 5*z. What is the remainder when (-17)\/4*(8 + -12) is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2501, -12, 103 in ascending order.\nAnswer: -2501, -12, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 + 7*o - 13. Let m be d(-9). Let n be 1*2\/1 + 7365\/m. Suppose 6*u = 55 + n. Is 15 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 + 0)*(-15*r**2 + 168474*r - 387*r**2 - 168474*r) as p + n*r + f*r**2 and give f.\nAnswer: -804","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -401*g*h*q - 182192*g*h + 103*q with respect to q.\nAnswer: -401*g*h + 103","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7*-4*(-3)\/(-14))\/10.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.49999974 - -2.5. What is f rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k**2 + 2349 - k**2 - 2349.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -258, -2, -11 in decreasing order.\nAnswer: -2, -5, -11, -258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 25 * -1\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 75 - 6b574?\nAnswer: -6b4bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 1, -31*q - 913 = -33*q - p. Suppose -46*w + 48*w = -3*i + q, w = -4*i + 233. Is w a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*y + 0*y - 27*y - 5*y as m + p*y and give p.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*a + 3*n + 20, -8 - 8 = 4*n for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33573 + 33569. Sort 9, i, -0.2 in descending order.\nAnswer: 9, -0.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/11081, 5, 0.2, 1\/161 in increasing order.\nAnswer: 5\/11081, 1\/161, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6? (a) -23 (b) 4\/7 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 766*d + 267567 = 821*d - 183213. Is 184 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6*(5\/(-3))\/((-25)\/10)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2122099979 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 6}. What is prob of picking 4 w?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 988015?\nAnswer: 5, 7, 28229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 171, 338, 517, 714, 935, 1186?\nAnswer: 1473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a886a (base 11) to base 12.\nAnswer: 134841","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, 1\/2, 3, -20\/13 in descending order.\nAnswer: 3, 3\/4, 1\/2, -20\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -14 (b) -5 (c) 5 (d) -51 (e) -1.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + p**4 - 3*p**4 + 3*p**3 - 3*p**3 + (-p**4 - 3*p**4 + p**4)*(17 - 13 - 17))*(-5 - 6 - 1 + (-6 + 1 + 1)*(4 - 7 + 2)).\nAnswer: -296*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**4 + j**3 - 9*j - 9*j + 38*j - 13*j - 2*j**2 - 3*j to the form g + m*j**4 + n*j**2 + x*j**3 + k*j and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1003904?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14621 + 14641. Let v be (6\/(-5))\/((-2)\/5). Suppose -m + 13 = v. Calculate the greatest common divisor of z and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 21 = -4*k, 25 = -u - 4*u. Let i be 1 - -1 - (-147)\/49. Let m(w) = -4*w**3 + 5*w + 5. Let d(c) = 3*c**3 + c**2 - 4*c - 4. What is i*d(v) + k*m(v)?\nAnswer: -v**3 + 5*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.04 - 0.44. Let c = 4712.8 + -4713. Sort 6, w, -0.1, c.\nAnswer: w, c, -0.1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*z - 9. What is the remainder when -3*4\/3 - (-119)\/17 is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6671.7m to centimeters.\nAnswer: 667170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/(-21))\/((-440)\/76662). Let z = -1\/308 - c. Let l = -148263\/90230 + 2\/6445. What is the common denominator of l and z?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 45 = 43 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 183 divide 2047501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of m**5*z - 321*m**4*z**3 + 103*m*z + z**3 wrt m?\nAnswer: 20*m**3*z - 3852*m**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of k**3*z**3 + 17*k**3*z**2 - 112*k**3*z + 51*k**2*z + 3*k*z**3 wrt k?\nAnswer: 6*z**3 + 102*z**2 - 672*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of 6*r**3 + 10*r - 11. Find the first derivative of g(y) wrt y.\nAnswer: 36*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23 + -10. Suppose -5*k - 712 = -w*k. Suppose n = 4*r - k, -r = -10*n + 5*n - 46. Is 4 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6 - -4 - 7\/(308\/240). Let -120\/11*a - 24\/11*a**3 - 2\/11*a**4 - 92\/11*a**2 - j = 0. Calculate a.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -5. Let j be (-6)\/(-10) - (-2)\/5. Let y be (0\/1)\/(1*2). Sort y, j, d in descending order.\nAnswer: d, j, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*t = -21 + 8, 0 = -9*t + 36. Let d(u) = 3*u - 20. Calculate d(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of -1\/18*f**3 + 1\/18*f**4 + 0 + 1\/60*f**5 - 6*f - 1\/3*f**2. Factor g(x).\nAnswer: (x - 1)*(x + 1)*(x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -3*a**3 - 46*a**2 - 102*a + 366. Calculate m(-4).\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -11*n - 11. Let k(r) = 10*r + 5. Let y(h) = -5*h - 3. Let p(x) = 2*k(x) + 5*y(x). Let f(i) = 4*d(i) - 9*p(i). Determine f(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3*t + 39. Let s(d) = -4*d + 38. Let m(n) = -3*k(n) + 2*s(n). Let c be m(21). Let v(j) = -j**2 - 24*j - 18. List the prime factors of v(c).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 6*u**3 + 6*u**2 - 7*u + 7. Let v(m) = -4*m**3 - 5*m**2 + 6*m - 8. Let w(o) = 6*f(o) + 7*v(o). What is the third derivative of w(z) wrt z?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 58 and 174?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/1 - (-156)\/(-104).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20983115.\nAnswer: 5, 373, 11251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-67)\/(-533) + (6860\/574 - 12).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 AM and 8:24 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20537 = 75*v - 64*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 - 9*t + 11. Let x be m(8). What are the prime factors of (146\/(-6))\/(x\/(-9))?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -36*u**3 - 31*u**2 - 3*u. Let m(k) = -k**2 - k. Let v(b) = -3*m(b) + w(b). What is the third derivative of v(g) wrt g?\nAnswer: -216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 + -0.24. Let s = -0.082 + -4.918. What is the third biggest value in s, -2\/3, m?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 76 in -1\/3, -0.4, -344, 4, 0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 176 = 4*m. Let q = 45 + m. Let w be (9 - -9) + (q - 2). What is the greatest common factor of w and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3295987 weeks to nanoseconds.\nAnswer: 199341293760000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-4 + 12 + -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -503, -1024, -1545, -2066, -2587, -3108?\nAnswer: -3629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*6*((sqrt(704) - (sqrt(704) + -1 - sqrt(704))*3)*-2)**2*-3*-5.\nAnswer: -770040 - 51840*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/944 and 79\/64?\nAnswer: 3776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104 divided by 8.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x. Let u be w(1). Suppose 2*b + 32 = -u*b. Let i be -6*-1*b\/(-12). What is the smallest value in i, -0.4, 15?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.9 + -747442.\nAnswer: -747442.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 12) to base 3\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, o: 3, k: 3}. Give prob of picking 1 o, 1 m, and 2 k.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7807974815 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 460363976 is divided by 43.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/14 (b) -0.11 (c) 0.08 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -12893177 != -12893175?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 242.026893 nanoseconds in days?\nAnswer: 0.0000000000028012371875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (1 - (-5 + 0))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11202 - -12021111?\nAnswer: 12110020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence apaa when four letters picked without replacement from {o: 2, a: 9, p: 5}.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 3*q = -740, -g + 463 = 2*g - 2*q. Let v(n) = 5*n + 50. Let j be v(8). Let x = g - j. What is the remainder when x is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 + 0*u**2 + 0*u**2)*(-4*u + 2*u + u) - 4*u - 353*u**3 - 5*u + 9*u.\nAnswer: -354*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -10684, -42732, -96144, -170920, -267060, -384564?\n\"Answer: -10682*u**2 - 2*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 3*x**2 + 17*x + 6. Let r(z) = z**3 + 4*z**2 + 2*z + 1. Let k be r(-4). What is the tens digit of v(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z + 4. Give y(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (15*p - 3*p + 2*p + 3*p**2)*(-63*p**2 - 170 + 170) in the form f*p**2 + l*p + m*p**4 + t*p**3 + d and give m.\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of g**5\/20 - 3*g**4\/4 - 16*g**3\/3 + 19*g**2 + 118*g. Let r be k(12). What is the greatest common factor of r and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -69 divided by -23\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f**2 + 101*f - 101*f)*(-1126 - 2046 - 1813 - 36) to q*f**2 + x + i*f and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 81, 79, 77, 75, 73?\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of 12*j**2 + 0*j + 0 - 1\/9*j**3 + 1\/180*j**5 + 1\/72*j**4. Solve n(x) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 234393196.\nAnswer: 23439319.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 499606537 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(sqrt(15)\/sqrt(432))*-3 + -5 + -6*(sqrt(396)*-2)**2.\nAnswer: -9509 - 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 46758 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/108 and -103\/9774.\nAnswer: 19548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -840, -5, 4 in increasing order.\nAnswer: -840, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1260 and 154?\nAnswer: 13860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -0.19, 0.1, 105525, 1\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-2\/7))**(2\/31)\/(a*a**(-1\/4))**39)\/(a\/(a**(1\/12)\/a)*a**3)**(1\/4) assuming a is positive.\nAnswer: a**(-316607\/10416)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 7 = -3*c. Suppose 2*n - 3 = f - 1, 0 = 4*n - 3*f. Solve -c*o + n*o + 12 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/4)\/(((-49)\/(-308))\/7).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-4) + (-10)\/7. Let p = 3.99 + 0.01. Let x = -3.8 + p. Which is the biggest value? (a) x (b) j (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z - 4*o - 13, 59*o = 3*z + 58*o - 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 PM and 8:13 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/117 and 50\/88942347.\nAnswer: 88942347","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*x - x. Let h be 0 + 5\/x + -2. Let t = 32 + -36. What is the biggest value in 0.1, t, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 PM and 2:22 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 3 = 0, 66*x - 6*n + 15 = 63*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 413, -3, -596, -4.\nAnswer: -596, -4, -3, 413","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 15) to base 2\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2014121323 + 14?\nAnswer: -2014121305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1386 - 1385.75. Which is the third biggest value? (a) z (b) -8 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k**2 - 41*k**3 + 9*k**3 - 2*k**4 + 31*k**3 + 368*k + 3*k**2 in the form n + j*k + m*k**2 + o*k**3 + w*k**4 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -6*l**2 + l. Let o(b) = 7*b**2 - 2*b. Give -6*n(v) - 5*o(v).\nAnswer: v**2 + 4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/178 and 69\/232.\nAnswer: 20648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 12, 0.5, -2.09?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -3*r + 10. Let p = 478 + -238. Suppose 0 = r*i - p - 15. What is i rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2808 is divided by 2149.\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 0.2, 5, 4.5, -1\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1))**27*(n**(-1\/3))**15 assuming n is positive.\nAnswer: n**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of h**7\/1680 + h**6\/240 + h**5\/240 - h**4\/48 - h**3\/16 - 44*h**2. Factor m(b).\nAnswer: (b - 1)*(b + 1)**2*(b + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/2, -1\/5, -37, 1\/9?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 239, 2, -5, -2, 109, -8 in descending order.\nAnswer: 239, 109, 2, -2, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 9:03 AM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 13*n**3 - 2*n**4 - 1259*n + 1242*n + 15*n**3 - 3 to the form a*n**3 + b + j*n**2 + g*n + h*n**4 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 304 is divided by 31?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 90104377 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17.5 - -1.5. Let a = 3.7 - -15. Let v = y - a. What is the biggest value in v, 1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + -2 + 6*-1. Let t(l) = -l**3 - 12*l**2 + 2. Let u be t(x). Differentiate -u - 1 + 1 + 8*k**3 - 3 with respect to k.\nAnswer: 24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + (-5616)\/252 - (-206)\/(-112) - -3.\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + f - 2*f + 14 = 0, 0 = -3*f + 6. Suppose -3*u + 51 = n, u - 13 = 5*n + v. Calculate the greatest common factor of 17 and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 225?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5795 - ((-7 - 0) + 6). Suppose -f = -9*t - 3*t. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s - 2*u + 6*u - 25, 17*u - 22*u + 86 - 39 = -6*s for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20299 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 668685360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-7)\/3)\/(4\/(-12)). Let y(a) = -a**3 + 10*a**2 - 8*a. Let z be y(m). Suppose u = -2*o + z, -3*o + 226 = 4*u - 123. What are the prime factors of u?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-3 + (((sqrt(33) - (sqrt(33) + sqrt(33)*-2))*-6)\/sqrt(3))**2)*-2.\nAnswer: -3158","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 260*z + 24. Let m be v(3). Suppose 3*d - m - 1296 = 0. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 368*v - 369*v = 2*g, 4*g = 3*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 3*u + b - 17, 1 = -3*u + 5*b. Suppose u*s + 0*s - 15 = 0. Do s and 2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 2*y = -356, -2*m - 2*m - y = -354. Suppose -3*l + m = -l. Is 152\/11 - (-8)\/l a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - v = 0. Let u be ((-2)\/4*-2)\/(111\/(-1887)). Let t(o) = -o**3 - 18*o**2 - 20*o - 46. Let a be t(u). Solve -a + v = p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3465, -9424, -17883, -28836, -42277, -58200, -76599, -97468?\nAnswer: -120801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/x**(-6)*x*x)*x)**(-11\/8)*(x*x\/((x**(12\/5)*x)\/x))**(-5))**(-48) assuming x is positive.\nAnswer: x**(-558)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 11*o**2 - 10*o - 25. Give a(12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 421 - 7159\/17. Which is the closest to -0.1? (a) r (b) 1 (c) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 5*y - 39. Suppose y*r - 2*r - 3*x = 3, -x + 23 = 5*r. Is 2 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8584 > -41.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 28100335 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -252*i - 4905. What is z(-19)?\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 845083?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/1*-2*((-10)\/20)\/(70\/3290).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 11:08 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 4*a**3\/7 + 20*a**2\/7 + 16*a\/7 = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyu when three letters picked without replacement from {y: 3, u: 2, q: 3}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = 8*h - 79 + 30 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 2\/7*j + 2\/21*j**2 + 0 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k*k**6*k*k)*k*((k**3*k)\/k)\/k)\/(k**(-1))**(-24\/5))\/((k\/k**1*k)**38\/(((k\/k**(-4)*k*k)\/k)\/(k*(k*k\/k**(-1\/3))\/k))) assuming k is positive.\nAnswer: k**(-677\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -13\/11, -7\/2, 2\/7, 0.1, 9\/4, 2 in decreasing order.\nAnswer: 9\/4, 2, 2\/7, 0.1, -13\/11, -7\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -878 in decreasing order.\nAnswer: 2, -1, -878","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**3 - 45 - 51 - 55 + 151 - 3*v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 2*l**2 - 1. Let w be k(-1). Let b be (-20 - -20) + (-1)\/4*w. What is the nearest to -2 in -0.3, b, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1558*u - 1142*u**2 - 1112*u**2 + 733*u**2 wrt u.\nAnswer: -3042","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 6*o - 2*f - 11471, -f = -4*o + 15303. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r**2 + 112*r + 2849. Give c(-19).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -280*-1.7.\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88433388 divided by -288998.\nAnswer: -306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*y**4 + 3*y**4 - y**4 + (-y**4 - 3*y**4 + 3*y**4)*(-2 + 4 + 33) as t*y**2 + a + z*y**3 + h*y**4 + u*y and give h.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 12*v - 3*v**2 + v**3 + 2*v**2 - 10*v - v. Let i(x) = 5*x**3 - 6*x**2 + 6*x. Give i(d) - 6*m(d).\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10584638?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9747851 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1172 (base 8) to base 16.\nAnswer: 27a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10337 to the power of 1\/2, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3 = 3*x, -5 = -y + 4*x - 2. Let o be (-17)\/y - (-6)\/9. Suppose -16*t - 21 = -37. Sort o, t, 5 in decreasing order.\nAnswer: 5, t, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8440 + 8442. Let n be -2 - (7\/5 + -2). Which is the second biggest value? (a) i (b) 5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3*n**2 - n - 8. Let j(l) = -7*l**2 - 18*l - 65. Let y(p) = 2*a(p) + j(p). Determine y(-12).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -8*p + 5*p - 29, -n + 3*p = -13 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -592 = -4*g - 580. Let v(m) = 4*m**3 - m**2 + 2*m - 1. Let p be v(1). Suppose p*t - 5*j = 261, 0*j = j - g. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(77)*1*5*6)\/((sqrt(63) + (-1*sqrt(441) - sqrt(441))\/sqrt(7))\/(-1*sqrt(1296) + sqrt(9))).\nAnswer: -1980*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 68262959 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-1)\/z*z**(-6))**(-20))**8 assuming z is positive.\nAnswer: z**1120","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 831861 (base 9) to base 10.\nAnswer: 493507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i - 16. Let a be c(0). Let f = a - -227. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-4 - -10))\/(1\/(-6)). Let o(n) = -28*n + 1. Let v be o(-1). Suppose -f + p*f = v. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3788, 4467, 5146, 5825, 6504, 7183?\nAnswer: 7862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -22 and 108996218?\nAnswer: 108996240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7\/3? (a) 4\/5 (b) 3 (c) -2 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dsss when four letters picked without replacement from sdsssssd.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 9*h**3 + 23*h**4 - 32*h**3 + 4*h**4 - 37*h**3 + 39*h**2 - 6*h = 0.\nAnswer: 0, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nwqppxb. Give prob of sequence wq.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 39552 and 2?\nAnswer: 39552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 0*b + 6*b)*(b - 3*b + b + (-2*b - 3*b + b)*(-4 + 0 + 3)).\nAnswer: 18*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/40? (a) -1.2 (b) -2\/9 (c) 3\/5 (d) -7 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 394 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -60*r**2. Let x(b) = -6997*b. What is x(j(a))?\nAnswer: 419820*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -650 and -0.05 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.318 in 2\/15, 0.08, -2\/11, -0.22, -0.4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 38403535 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129 = 4*a + 785. Let n be 62\/104 - (3 - a\/(-52)). Let g = -0.3 + 0.2. Do n and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-78)\/91 - 116\/357*-3?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*h - 65 - 75 - 22 = 0 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 35401 + 599. What is g rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 147 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7713, -13898, -20087, -26280, -32477, -38678, -44883?\nAnswer: -51092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2087 divided by 78?\nAnswer: -2087\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q**2. Let i(b) be the first derivative of -83*b**3 + 2407. Calculate t(i(j)).\nAnswer: -124002*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 36\/90 - (-36)\/10. Suppose l = -1, -13*n = -10*n + y*l - 92. Calculate the remainder when n is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3340 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83942 - 562413 = -37*h + 41956. What is the thousands digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 137216340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*a - 58*a + 60*a - 107*a - 50*a - 36*a.\nAnswer: -229*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3558, 3549, 3530, 3495, 3438, 3353, 3234?\nAnswer: 3075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -454547.3000098 + 454550. Let h = 2.7 - y. What is h rounded to six decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39 by -2.\nAnswer: 39\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -6*t**2 + 3*t - 1. Give g(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3*q**3 + 22*q - 3*q**3 + 6*q + 46 - 17 + 30*q**2 + q**3. Let t be w(-29). Solve -62 = 4*z - t for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 PM and 3:37 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44161720 and 260.\nAnswer: 574102360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111448 is divided by 725.\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 f when two letters picked without replacement from rfra.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*c**4 - c**4 - 4*c**3 - 9 + c**3 + c**3 as f + w*c**3 + q*c**2 + m*c**4 + u*c and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10286436.\nAnswer: 2, 3, 857203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 PM and 4:23 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.7697 * 0.64\nAnswer: -0.492608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 3 (c) -0.3 (d) 23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 280 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/o**(3\/8)))\/((o*o**(-2)*o)\/o)*(o**1)**39)\/(((o\/o**(-1\/2)*o)\/((o**(2\/5)*o)\/o))\/(o*o**(-4)*o**(-1))) assuming o is positive.\nAnswer: o**(1371\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 145 by 94339.\nAnswer: 145\/94339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 191\/18240 and -61\/97278480.\nAnswer: 389113920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15 + 11 + ((-2)\/(-22) - (-66325)\/18326) and -79\/272.\nAnswer: 1904","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1\/4080?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1015047*h**2 + 250668*h + 2 wrt h.\nAnswer: -2030094","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5592 + 9609. Is k a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5104\/638*(2\/5 + 2025\/(-3500))\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(4 + sqrt(3888) + 4*(sqrt(3888) + 1) + -5*-6*(sqrt(3888)*2 - sqrt(3888)))*-3)**2.\nAnswer: 6531840*sqrt(3) + 1543167936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rp when two letters picked without replacement from {n: 8, r: 3, p: 5}?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + 6*b**2 - 3*b - 2. Let x be a(0). What is the nearest to -0.1 in -0.04, 178, x?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 155 - -63. Let f = r - 496. Let y = 278.000378 + f. What is y rounded to five decimal places?\nAnswer: 0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -5 - 4 - (1 - 4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -3. Let j(y) = -1 + i + 2. Let p(h) = -2*h**2 - 2*h - 10. Suppose -4*f = -t + 3, -t - 3 = 2*f - 0*t. Determine f*p(z) - 10*j(z).\nAnswer: 2*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(245)*1)**2 + -4.\nAnswer: 2201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15\/8 in -1\/2, 0.4, 3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of j*k**3*r**2 - j*k**2*r**2 - 20*j*r**2 - 2*j + 3*k**3*r**2 - 46*k**3 - k**2*r**2 + 25*r**2 wrt k.\nAnswer: 6*j*r**2 + 18*r**2 - 276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + s + s)*(-3201*s - s**2 - 14 + 1614*s + 1640*s).\nAnswer: s**3 - 53*s**2 + 14*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -854384*n**4 - 2928*n**2 - 288*n wrt n?\nAnswer: -20505216*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -4112.7 to the nearest 10.\nAnswer: -4110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 PM and 6:49 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5416, -5156, -4722, -4114, -3332, -2376, -1246?\n\"Answer: 87*f**2 - f - 5502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**2)\/o)\/o*o\/(o**(-5)*o))**(17\/5)*(o**(-1\/2)*o*o*o*o\/(o\/(o**6*o*o*o))*o)**49 assuming o is positive.\nAnswer: o**(6329\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 938\/28 + -20 - (22 - 11).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 106\/1113 + (-2516)\/(-42). Suppose -4*c - 40 = -2*j, 12*j - f = 9*j + 5*c. What is the remainder when 96 is divided by j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*z - 20 = -42*z. Solve 0 = -z*l - 2*g - 0*g - 19, -5*g - 19 = 3*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -441365528 - 0.2.\nAnswer: -441365528.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of r**7\/420 - r**6\/180 - r**3\/2 + 2*r. Let m(b) be the second derivative of c(b). What is d in m(d) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -659 + 659.3. Put y, 0, -0.278 in ascending order.\nAnswer: -0.278, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 4*p**2 - 32*p + 8. Let g be f(8). Suppose 5*x - 33 - 7 = 0. Let y = x - 4. Sort y, g, 5 in increasing order.\nAnswer: y, 5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 4*n + 28 = 0, 3*y - n = -0*y + 16. Let j be (3 + -2)\/((-1)\/(-3)). Factor -q**j + q - 4*q**2 - 2*q**2 + 3*q**y + 3*q**2.\nAnswer: q*(q - 1)*(q + 1)*(3*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -w + 4*m - 0, -25 = -2*w - 3*m. Calculate the least common multiple of w and 20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*h - 8 = -17*h. Solve -4*u + 12 = -h*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*g**3 + 54*g**3 - 2*g**2 - 28*g**3.\nAnswer: g**2*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -92*i - 18083*i**2 + 19 + 18043*i**2 - 4*i**3 - 75.\nAnswer: -4*(i + 1)*(i + 2)*(i + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -882018 or -882050?\nAnswer: -882050","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 1833*i**2 - 5 - 13 + 40 - 12 + 1836*i**2.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.392 - -0.108. What is the nearest to 1 in p, 2\/9, -39?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 634 + -639. Let y be (-5)\/4 + l*3\/(-12). Solve -r = 2*r - 2*c - 9, y = c + 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/3 + (-11)\/(-3). Suppose 0 = h - 3*j - 28, -3*h + 5*h - 46 = -p*j. Let x = 220\/9 - h. Calculate the common denominator of -1\/6 and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 7*d + 12. Let x be d - ((-4 - 0) + -2). Is 1 - (-4860 - (x + -3)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -1491\/234331?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14094 - 14031. What is the greatest common factor of 7203 and r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) -2\/3 (c) -2.33 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 + 6*p**2 - 4*p. Let w be s(5). Suppose -65 + 20 = -w*i + 3*r, 0 = -5*r. Calculate the remainder when 25 is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1250, -1246, -1242, -1238, -1234?\n\"Answer: 4*g - 1254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 271 + -271. Let i(y) be the first derivative of 0*y**2 + 0*y**4 + r*y + 4 - 6\/5*y**5 + 0*y**3 + 1\/2*y**6. Factor i(a).\nAnswer: 3*a**4*(a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 18 = 6*u. Let y be 10\/(-36) - 4\/u. Let r be 2\/16*36\/(-27). Which is the closest to y? (a) -4 (b) r (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.38 + 0.81. Let z = -0.23 + 0.16. Let j = z - n. What is the nearest to 1 in -1\/11, j, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34160000 rounded to the nearest 100000?\nAnswer: 34200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-136)\/28 + 5)\/(77\/(-49) - -1)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 492804259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - -89a?\nAnswer: 89e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -211556331?\nAnswer: 211556335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of z**5\/20 + 13*z**4\/6 + 24*z**3 + 387*z + 3. Determine w so that q(w) = 0.\nAnswer: -18, -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 6*l**3 - l**2 + 2*l - 1. Let i be j(1). Let p be i\/(-9)*(-3)\/4. Solve -p - 1\/2*w**2 + w = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1816 and 120037.\nAnswer: -217987192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -2*q - 3*q + 11, -2*n + 1 = -3*q. Let 3*t**2 - 3 + 3*t**n - t**3 - 3*t**2 - 1 = 0. What is t?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/5 of a meter in millimeters?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 0 (b) -1335 (c) 0.3 (d) -4 (e) -228\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 79, -24, -1, 3, -2 in descending order.\nAnswer: 79, 3, -1, -2, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 7. Find the third derivative of -3*q**3 - 5*q**3 + 4*q**3 + 5*q**3 - q**j wrt q.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9 + 47?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2530)\/(-30) + 108\/(-144)*8\/18.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 821599322 is divided by 129.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5767, 5830, 5897, 5968, 6043, 6122?\nAnswer: 6205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 49 - 88 = -3*c - 50, -3*c + r - 4 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + (-22)\/6 + (203 - 199). What is the nearest to c in -0.144, -0.2, -2\/17, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4\/4 - 17*n**3\/4 + 46*n**2 - 100*n.\nAnswer: -n*(n - 4)**2*(n + 25)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 753*c = -280*c - 169*c + 181*c + 103121 for c.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3327 + -3322. Let w(u) be the second derivative of 3\/20*u**q + 0*u**2 + 12*u + 0*u**3 + 0 + 29\/12*u**4. What is the third derivative of w(g) wrt g?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 - 17*f + 50. Let t be b(20). Let q be (-5)\/(t\/4) + (-65)\/(-55). Does 7 divide (-1)\/q + (-6 - -22) + -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/3)*f)\/(f\/(f**(-2\/11)\/f)))**(-3\/22)*(f**0\/f*f**(-2)\/f)\/((f\/f**(-2\/29)*f)\/f**(-5)) assuming f is positive.\nAnswer: f**(-77189\/7018)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21*s**3 + 28*s**2 + 26*s**2 - 51*s**2 - 700 - 59*s**3 with respect to s.\nAnswer: -114*s**2 + 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuaauuuuuauuuaauaua. What is prob of sequence aa?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*13\/((-40170)\/12)*1)\/(14\/35).\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 992664 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 168349569 - 93909569. What is o rounded to the nearest one million?\nAnswer: 74000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2779569 and 22236552?\nAnswer: 22236552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -101 (c) -40\/23 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 3. Let d = -14221\/6 - -2361. Let g = d - -17\/2. Which is the closest to z? (a) 3 (b) g (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (396 - 3)*8\/396 + (-545 - -537)?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1280 and -0.82?\nAnswer: 1279.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1236.624 and 1.2892.\nAnswer: -1235.3348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124035 is divided by 54?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -811 = -13*n + 242. What is the remainder when 81 is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 66, 148\/39, 41?\nAnswer: 148\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 7:59 PM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 l when three letters picked without replacement from {k: 4, l: 6}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*z - 10 - 16*z + 8*z)*(1 - 1 + 3*z).\nAnswer: 6*z**2 - 30*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3274231\/48 - 68210. What is the common denominator of s and -43\/132?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 - 3 + (3 - 2 - 3)*(1 - 4 + 1))*(-5*p - 3*p + 2*p)*(0*p + 0*p - 3*p**2) to t*p**2 + m*p**3 + h + i*p and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.54 + 14.04. Let n = 11.5 - r. Which is the smallest value? (a) 4\/5 (b) 0.2 (c) -3\/8 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of h**6\/2 - 201*h**5\/20 + 59*h**4 - 42*h**3 - 2*h + 29. Factor u(g).\nAnswer: 3*g*(g - 7)*(g - 6)*(5*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15809, -31621, -47435, -63251?\nAnswer: -79069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -46\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36316 (base 7) to base 11.\nAnswer: 7095","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/9387 and -76\/79150737.\nAnswer: 1662165477","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1004 in -1\/6, -5, -1, -0.04?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 76.2 * -640914.\nAnswer: -48837646.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -724*b**2 - 4368*b - 151. Give y(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kod when three letters picked without replacement from {v: 1, o: 1, s: 1, u: 2, d: 2, k: 2}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 26060562 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 2, 60, -0.24?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5967808 litres in millilitres?\nAnswer: 596.7808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 73, 24, 2, 16, 4.\nAnswer: 0, 2, 4, 16, 24, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 191140 to the nearest integer?\nAnswer: 437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 84*w**2 - 572*w + 246. Let i be t(7). Let x(j) = 22*j**2 + 13*j**2 + 16*j**2. Let s(c) = -13*c**2. Calculate i*s(z) + 4*x(z).\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - 23*c - 40. Give a(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*y = -64*y - 880 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21 and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38640485?\nAnswer: 5, 13, 594469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of z**4\/8 - 4*z**2. Suppose r = -d, 5*d - 5*r - 24 + 4 = 0. Calculate the remainder when 11 is divided by a(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-6))\/(32\/240).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06925 to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8256 and 59340?\nAnswer: 949440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6909, -5, -15?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16675 and 6670.\nAnswer: 33350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 137.82314 - -1.175?\nAnswer: 138.99814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 10*u - 7. Let p(z) = 5*z - 309. Give n(p(t)).\nAnswer: 50*t - 3097","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from woowwowowwoww. Give prob of picking 4 w.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -3*k**3 + k**2 - 73*k + 245. Give b(3).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1710)\/(-2166)*(-3420)\/108?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 AM and 11:25 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z - 7. Let s be (4 - 5) + (0 - 5). Let d(o) = -3 - 1 + 3. Let g(k) = s*d(k) + h(k). What is the first derivative of g(y) wrt y?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -76*i - 2. Let p be f(3). Let w = -164 - p. Let a = -30 + w. Is a a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-5\/4))\/(t*t**(-1\/2))*t\/t**(-7)*t\/((t\/(t**(-4\/5)\/t))\/t)*(t**(-7)*t\/t**3)\/(t**(1\/3))**21 assuming t is positive.\nAnswer: t**(-191\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - -10001010011110100110?\nAnswer: 10001010011110101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 30921199 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(18\/3)*-2*(-144)\/(-320).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 103566331 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*b**4 - 6*b**4 + 5*b**4)*(-2*b + 0*b + 0*b) + 4*b**3 - 4*b**3 + 8*b**5 - b**5 + 40*b**2 - 40*b**2.\nAnswer: 23*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 3:39 PM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a**2. Let d(g) = -26 + 323*g - 386*g + 26. Calculate b(d(p)).\nAnswer: -7938*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3722*m**5 + m**4 - 239*m**3 + 5611064*m**2?\nAnswer: -223320*m**2 + 24*m - 1434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**3 + 4*k**3 - 2*k**3 + 3*k**3 - 2*k**3.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22804 is divided by 10559?\nAnswer: 1686","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k - 306 = -27*k. Is (5\/(-3))\/((-6)\/k) - -3444 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*r + 8*r - 26 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179769.\nAnswer: 3, 31, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 355*k**2 - 4408*k - 12995. Let l be p(342). Let z be -1*2 + 50\/33. Let c = 2\/11 - z. Is l at most as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - ((-3712)\/(-10) - (-36)\/45). Let d = 722 + i. Calculate the greatest common factor of 13 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -113*w**3 - 202*w**2 + 5*w + 5. Let f(y) = -57*y**3 - 102*y**2 + 2*y + 2. Let m(a) = -5*f(a) + 2*q(a). What is the third derivative of m(z) wrt z?\nAnswer: 354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*m**2 + 20*m**2 + 16*m**2 + 29*m**2 + 19*m**2.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -150313\/60 + 509\/12. Let h = s - -2477. Let n = h + -43\/3. Which is the nearest to -0.1? (a) n (b) -4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - -5 - (-2 + 10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 103875 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33*s**3 - 5*s**2 + 10 - 34*s**3 + 13*s + s**4 - 15*s + 0*s**4 to q*s**2 + n*s + u*s**4 + c*s**3 + w and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 2*s**2 - s + 16. Let o be d(0). Let f = o - 9. Suppose 0 = v - f*v + 1368. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.1906401 to one decimal place.\nAnswer: 9.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 4*p. Let v(n) = 31666*n**2. Give v(i(t)).\nAnswer: 506656*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (87\/(-203))\/(-3*(-5)\/50)?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -6*s - 6. List the prime factors of f(-9).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2*a + 386 = 0, -5*k - 2*a = 2*a - 398. Let f = 262 - k. What are the prime factors of f?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 803598.8 centuries to months.\nAnswer: 964318560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -587631 + 959302. Let h = u + -371687.9993. Let j = -17 - h. What is j rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 31 = 2*b, -4*s = 4559*b - 4557*b + 14 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*q = 146*q - 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 167, 336, 507, 680, 855, 1032?\nAnswer: 1211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g**3*v**3 - 12*g**3*v**2 + 10*g**3 - 96*g**2 + 109*g*v**3 wrt g?\nAnswer: -6*v**3 - 72*v**2 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 727*s - 49. Let l be p(-13). Round l to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 263729 is divided by 99?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 98\nAnswer: -196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10400 is divided by 2077?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/1 + 237*13\/39. Solve d*l + 25 = 86*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 5*s = 4, 3375 = 3*j - 3*s. Is 29 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.19 - 5.19. Let o = 6.2 + 1.8. Let j = 12 - o. Which is the second smallest value? (a) i (b) 0.1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**3 - c**3 + 3*c**3 + 50*c**3 + 70*c**2 - 70*c**2 + (-2*c**2 + 3*c**2 + c**2)*(0*c + c + 0*c).\nAnswer: 54*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i - 3. Let c be a(5). Suppose -4 = -c*n - 0. Suppose 7*s - n*s = 30. What is the least common multiple of 12 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/h**(9\/4)*h)\/(h**7*h))**43 assuming h is positive.\nAnswer: h**(-1247\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*x + 4*r - 133, -2*x + 278652*r = 278657*r - 145 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13\/1789946 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -5*j**3 + 122*j**2 - 44*j - 40. Let n be i(24). Solve 5*r = 53*q - n*q + 16, 0 = -4*q - r - 7 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -6*1\/((-4)\/10202)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -503453 (base 7) to base 4\nAnswer: -110310302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = r + w - 11, 0 = -5*r + 2*w - 23 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of 11*g**5\/60 - 7*g**4\/24 + 1273*g**3\/6 + 274*g**2 + 2*g. What is the derivative of m(y) wrt y?\nAnswer: 22*y - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 4*c + 4*p - 0, 0 = 2*c - p - 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of -2*p - 13 - 1\/3*p**3 - 11\/2*p**2. Determine r(-8).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-5\/3)*o\/((o*o*o*o*o\/o**(-5)*o)\/o)*(o\/(o\/((o\/(o\/o**(-2\/11)))\/o)))**(22\/7) assuming o is positive.\nAnswer: o**(-302\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14247229?\nAnswer: 14247229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 257611903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -31cb + 0?\nAnswer: -31cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*o**3 + 80*o**2 + 20*o - 1680 = 0. Calculate o.\nAnswer: -14, -6, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -247 (base 11) to base 15\nAnswer: -148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 106208 and 12?\nAnswer: 318624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 6) to base 7\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 3. Let z = 1.1 + 1.9. What is the third smallest value in 0, -0.02, v, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2417.61 + -5\nAnswer: 2412.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 159*x - 161*x + 3*h + 46, 4*x - 86*h - 1052 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of -g**6\/40 - 79*g**5\/20 + 41*g**4\/4 + 80*g**3 + 22*g**2 + 39. Let x(k) = 0. Calculate k.\nAnswer: -80, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -6, 7 in decreasing order.\nAnswer: 7, 3, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 389344, 389346, 389354, 389368, 389388?\n\"Answer: 3*v**2 - 7*v + 389348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 50889837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) + 6*(-1*sqrt(66) - sqrt(66)) + sqrt(66))\/((sqrt(18) - sqrt(18)*-3)\/sqrt(3)).\nAnswer: -5*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000005136 rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -51*q**2 - 22*q**2 + 78*q**2. Let r = -2 + 4. Let b(c) = r*c + 2*c - 2*c + 0*c. What is l(b(m))?\nAnswer: 20*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2\/7)\/(w*w**(2\/49))*(w**(-1))**23 assuming w is positive.\nAnswer: w**(-1192\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -1421*l**3 - l**2 - l - 1. Let a be r(-1). Suppose -5*p = b - a, 5*p - 7*p + 576 = 2*b. What are the prime factors of p?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + w - 11, j = -2*j - 5*w - 11. Solve 5*d - 17 = j*i, -5 = -4*d - 1 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1435176264 a multiple of 356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 13*i + 4*v, -i + 24 + 6 = -423*v + 416*v for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2394 and 3059.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -5*o + 21, 23 - 26 = o - 2*v for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3378*x - 65296 + 1114 = 0 for x.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 165464 (base 7) in base 12?\nAnswer: 17242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j - s - 390 = -12*j, -4*s + 211 = 3*j. What is the highest common divisor of j and 187?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 378\/198 + -1 - 1?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiiiiiiiiiiiiiizi. Give prob of picking 3 i.\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 4*o - 13. Suppose 13 = 2*j + 35. Let a = -7 - j. Let g be i(a). Solve 8*m = g*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -7*b**2 - 7*b - 7. Let p(d) = -3*d**2 - 3*d. Let o(z) = 3*z**2 + 3*z + 1. Let c(f) = 6*o(f) + 4*p(f). Calculate 6*c(i) + 5*k(i).\nAnswer: i**2 + i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*n - n - 2*n + (6*n + n + 22*n)*(2 - 1 + 0) + 4*n + 2 - 2 - 1.\nAnswer: 34*n - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-3*sqrt(133)*4)\/((2*sqrt(35))\/sqrt(5) - sqrt(63)*2).\nAnswer: 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -87*u - 167. Let s be w(-2). What is the greatest common factor of s and 2464?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-4))\/(152\/16 + -10). Let p(d) = 13*d - 2. Let y(l) = -13*l + 3. Let w(r) = 5*p(r) + 4*y(r). Give w(u).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(320)*-3 + (-1 + sqrt(320) + -2)**2.\nAnswer: -72*sqrt(5) + 329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**3 + 208*t**2 - 2076*t + 1872.\nAnswer: -4*(t - 39)*(t - 12)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/((-90)\/(-4))*1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2043389 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/5 (b) 0.063 (c) -0.3 (d) -0.1 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - y**2 + 2*y + 260. Let p be r(0). Suppose 58*k = 53*k + p. What are the prime factors of k?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 + 24. Let n be -2 - (-3)\/(12\/i). Let l = -384 + 389. Solve 3*f = l*m, -3*f = -4*m - n*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 193 - 85. Let l = 107.8 - u. Is l bigger than 0.13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 269 a factor of 72392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rnrn when four letters picked without replacement from rrnnnnnn.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, h: 4, p: 8, g: 4}. What is prob of picking 1 g and 1 h?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 5*f**4 - 5*f**3 + 5*f**2 + 5*f + 2. Let c(l) = -l**3 + l**2 + l. Let p(r) = 5*c(r) - j(r). What is the first derivative of p(t) wrt t?\nAnswer: -20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 3*y - 10, 0 = -3*j - 2*j - y + 14. Let x = 62639 + -62639. Solve x = 10*c - j*c - 40 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.11 (b) 1\/110 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 2*z + 6 = 3*g, 5*g = -2*z. Let l(j) = -1 + j**g - 9*j + 0*j**2 + 0*j**2 - 6. List the prime factors of l(11).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2038567972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1626 and -13.6167431132?\nAnswer: 1612.3832568868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 - 5*k + 10. Let c be m(-6). Suppose 8*o = c*o - 5600000. Round o to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/9)\/((-6)\/(-6))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1990 + 120 = -187*l. Let b(h) be the second derivative of l*h**2 + 0 - 34*h + 0*h**3 - 1\/4*h**5 - 5\/4*h**4. Factor b(f).\nAnswer: -5*(f - 1)*(f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 - 15*o + 18. Let y be k(10). Let l = 236 + y. Solve 4*s = 2*u - 8, 0 = -l*s + 3*u - 2*u - 10 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 + 1144*d - 304081. What is x(420)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -227, -447, -661, -869, -1071, -1267?\n\"Answer: 3*v**2 - 229*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhenexnxhemhfne. What is prob of picking 1 e, 2 x, and 1 h?\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -211 + 295. Let z(d) be the third derivative of -7*d**4\/12 - 53*d**3\/6 - 2*d**2 - 30*d. Calculate the remainder when w is divided by z(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + 34*(-1)\/(-2). Let r(n) = n**2 - 17*n + 5 + x*n. Let s be r(0). Solve s*a + 10 = -0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 144604?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 10334*w + 37. Let g(v) = 2588*v + 10. Calculate 22*g(b) - 6*s(b).\nAnswer: -5068*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, 63848, 0.15, 0 in decreasing order.\nAnswer: 63848, 0.15, 0, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dvu when three letters picked without replacement from {v: 2, q: 1, f: 3, l: 4, d: 1, u: 1}.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -1760*m**2 + 1667*m + 1762*m**2 - 1667*m. Let h(t) = 24*t**2 + 30. Determine n(h(f)).\nAnswer: 1152*f**4 + 2880*f**2 + 1800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of g**6\/60 + g**3\/6 - g**2\/2 + 3*g. Let a(b) be the first derivative of t(b). What is the derivative of a(j) wrt j?\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 divided by -118.\nAnswer: 17\/118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -64989, -0.4, -0.2, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from kkffffffkk?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -468*q**5\/11 + 1970*q**4\/11 + 163872*q**3\/11 + 428938*q**2\/11 - 95616*q\/11 + 360 = 0.\nAnswer: -15, -3, 1\/18, 2\/13, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 7*y**2 - 8*y - 18. Let i be b(-8). Let t be (-7916)\/i - (-26)\/117*1. Calculate the greatest common divisor of t and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 3\/4, -5358, 0.3, 0, 16\/11 in increasing order.\nAnswer: -5358, 0, 0.2, 0.3, 3\/4, 16\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -5. Suppose -2*f - u*f + t = -226, -3*t + 218 = 4*f. What is the remainder when f is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-16)\/(-16))\/(1\/(-11)). Let f be 3\/(-9) - (-518)\/6. Let r = f - d. Does 26 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 104, 210, 314, 416, 516, 614?\nAnswer: 710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 2 - 3)*(q + q + q)*(13*q**2 + 2*q**2 - 5*q**2) + q**3 + q**2 - q**2 to the form b + l*q + c*q**2 + g*q**3 and give g.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of 2*x**4 - 2*x**3\/3 + 2*x + 11. Suppose -5*g + 12 = 2. Is u(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -13302, -26606, -39910, -53214, -66518, -79822?\n\"Answer: -13304*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 551582 or 551501?\nAnswer: 551501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*1\/3*(-18)\/135.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0974792 to 3 decimal places.\nAnswer: -0.097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 7. Suppose f*k = k - 4. Let s = 23031 + -23022. Sort -2, s, 0, k.\nAnswer: -2, k, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (15\/4)\/(8\/64). Let t be (0 - -4)*a\/12. Suppose 4*p = 2*b - 4*b - t, 20 = -4*p. Sort 0.1, 0, b in increasing order.\nAnswer: 0, 0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -52 + (13 + 20 - -28).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 5*l + 3. Let y = -17 - -29. Let u(c) = 7 + 9*c + 14*c - y*c. What is 5*p(d) - 2*u(d)?\nAnswer: 3*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002677 to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = -4*q + 93. Suppose q*w = -34 + 26. Let i(s) = s**2 + 4*s. Give i(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 4\/5, 0.07, -316?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {z: 3, p: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a millennium in decades?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 - 7*a - 1. Let u(i) = i. Let m(d) = -2*d. Let s(v) = -m(v) - u(v). Give p(g) + 6*s(g).\nAnswer: g**2 - g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 4 = -4*u. Let y(i) = i**3 - i**2 - 2*i + 1. Let q(g) = g**3 + 7*g**2 - 9*g - 6. Let o be q(-8). Let h be y(o). Solve -u*t + 15 = -h for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134\/39 at most 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2825*y**2\/3 - 59297*y\/3 + 196.\nAnswer: -(y + 21)*(2825*y - 28)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*f - 2248 - 9122 = -498*f for f.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2628 divide 59600412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 225917900.\nAnswer: 2, 5, 13, 173783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -443 + 796. What are the prime factors of k?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-40) - (-154)\/560.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 875609?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 9 = -7*f - r, 11 = -4*f - 3*r for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -l - r, 0 = -5*l - 2*r + 3*r + 4. Suppose -2*j = -17 + l. Let h = j + -5. What is the least common multiple of h and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - ((-2)\/5)\/(56\/(-980))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 3*g**2 - 7*g - 8. Let s be n(-2). Suppose -s*d - 165 = -15*d. Does 21 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1344 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-1749)\/253 + (-17 + 9 - (0 + -15))\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -16*l**3 - 89*l**2 + 378*l + 2014. Calculate h(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*r = 29*r + 15. Suppose -r*y + 9 = -2*g, -2*y = -4*g + g - 8. Solve 13 = 5*l - 2*w, -l = 3*w - y + 12 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q**4\/9 - 56*q**3\/9 + 98*q**2\/3 - 12*q = 0. What is q?\nAnswer: -9, 0, 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (15 - 18 - (-5 + 0))*130\/20. Solve 14 = -5*w - 3*y, 5*y = -w - n - 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23*m**2 + m - 61?\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 5:52 AM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 76\/45 and 19\/1413?\nAnswer: 7065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uug. What is prob of picking 2 u?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**2 + 11*s + 10. What is the tens digit of d(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240 a factor of 1715091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (-6 + 20))\/(1460\/(-876)).\nAnswer: 27\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fpfffjpfpfffjffff. Give prob of picking 1 p and 2 f.\nAnswer: 99\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**4\/8 - 2*u**3 + 20*u**2 + 224*u + 480 = 0. What is u?\nAnswer: -20, -4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 AM and 1:56 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j + 7. Let d(h) = h**3 + 19*h**2 + 19*h + 13. Let v be d(-18). Let z be y(v). Solve 10*p = z*p + 10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, -6, -24, -48?\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/14*16\/384*-8.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of 0*a - 1\/24*a**4 - 1\/60*a**5 - 48*a**2 + 11\/6*a**3 + 0. Give o(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/2*(-6208)\/(-224) + 15. Let u be 23\/28 + 2\/(-8). Put 0.2, u, r in decreasing order.\nAnswer: r, u, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 536 = -26. Let q = -210 + h. What is the greatest common divisor of q and 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(-1)\/(3\/6))\/4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.22419 - 85?\nAnswer: -85.22419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 + 13. Is 5 a factor of (-103)\/t - 2\/(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - 276\/(-30))\/((-33)\/(-10) + -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 336 - 679. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/9*42\/84*-9*57\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*n**3 - n**4 + 3*n**3 - 25472*n - n**2 + 25477*n to the form a*n**4 + f*n**2 + i + p*n**3 + j*n and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000727085 to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 23438, 42979, 62520?\n\"Answer: 19541*n + 3897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3217*c + 3127*c - 120 - 4*c**2 + 3*c**2 - 72 + 4*c**2.\nAnswer: 3*(c - 32)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5729513*c + 17188476*c - 5729455*c - 5729459*c.\nAnswer: 49*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-18)\/(-12)*4\/1. Let y(f) = -2*f**2 + 11*f + 7. Let z = 51 - 42. Calculate the least common multiple of y(a) and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -5*i + 241, 239 = 3*i + 2*i - 3*u. What is the greatest common divisor of 35 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 19, 28, 43, 64, 91, 124?\nAnswer: 163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 5*h + 6. Let w be j(5). Suppose 129 = 32*l - w*l. What is the greatest common factor of l and 172?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 3*m + 19, -2*u = -4*m - 3*u - 34. Round m to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -252 - 3345?\nAnswer: -4041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68993?\nAnswer: 68993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - x**3)*((3 + 0 - 4)*(-3 + 3 + 3)*(62 + 35 - 35) + (2 - 5 + 1)*(-2 + 3 + 1)).\nAnswer: 190*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 PM and 4:38 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2563 and 9786?\nAnswer: 107646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*s - 1142 - 571 = -145 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -150, -145, -128, -93, -34?\n\"Answer: i**3 - 2*i - 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 145045 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193*k - 7424 - 4156 = 0 for k.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7414 is divided by 1814?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1753294.\nAnswer: 2, 876647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -50.9962 - -51. Round m to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 + 4*b - 1. Let o be p(-6). Suppose -20*n + 56 = 16. Suppose 3*c + 0*c + 2*u = o, n*u = 5*c - 29. Solve r + 4*i = c, -4*r + i + 20 = 2*i for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (2 + 0 + -1 - -2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 320560579 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 44 times 0.2\nAnswer: 8.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-13)\/(182\/(-35210)) - (-2 - 1) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/9 - 30236*p**2\/9 - 881890*p\/3.\nAnswer: 2*p*(p - 15205)*(p + 87)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 + -4)*-1*2. Suppose 0*w + 2*w = -r*s - 308, s + 3*w = -150. What is the tens digit of -3 - s\/(4\/1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z\/z**(1\/7)*z**(14\/3) assuming z is positive.\nAnswer: z**(137\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 15873 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/((-1)\/(-70)*-2). What is the second derivative of 26*j**5 + l*j - 1838*j**4 + 1838*j**4 wrt j?\nAnswer: 520*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/2 + 27 + 0. Which is greater: f or 27?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50819, 203070, 456821, 812072, 1268823, 1827074?\nAnswer: 2486825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 73*x**2 + 17*x + 8. Let k(y) = 37*y**2 + 8*y + 3. What is 6*h(b) - 13*k(b)?\nAnswer: -43*b**2 - 2*b + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/407 (b) -0.2 (c) 2\/35 (d) 0.3 (e) -5 (f) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of -1\/12*v**6 - 3*v**2 - 3\/32*v**4 + 0*v + 0 + 0*v**3 - 2\/105*v**7 - 11\/80*v**5. Factor w(y).\nAnswer: -y*(y + 1)*(4*y + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26 - (-70 + (27 - -7))) + 38.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/((r**(4\/9)\/r)\/r)*r*r)\/r*r*r*(r\/r**(2\/15))\/r)\/(r\/(r**(-1\/2)\/r))**(-22) assuming r is positive.\nAnswer: r**(2719\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -23644*i*s**3 - 115*s**3 + 31*s**2 wrt i?\nAnswer: -23644*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -37 + 39. Let v(u) be the first derivative of -1\/5*u**5 - s*u**3 + 8*u + 2*u**2 + 2 - 5\/4*u**4. Factor v(q).\nAnswer: -(q - 1)*(q + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of g**2*o**3 - 6*g**2*o**2 - 87*g*o**3 + 78*g*o - 1184*o**3 + o**2 + 11*o wrt o?\nAnswer: 6*g**2 - 522*g - 7104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29808967 to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 39*z**2 - 253*z - 501. Give t(-2).\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5b6129 (base 13) in base 4?\nAnswer: 20111031112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 438 a factor of 364867578?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2659\/30756 + 8\/2563. Is -3.7 > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 3 + 2. What is the tens digit of (-2)\/y*(-846)\/36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 366375?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6633?\nAnswer: 3, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 219039\/22 - 19913\/2. What is the smallest value in -1\/6, -8.8, 25, k?\nAnswer: -8.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36101897 and 17?\nAnswer: 36101897","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c - 5*o - 4, -c - 11*o = -9*o - 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9413 - 9351. Let u = 25 - 84. Let r = u + h. Is -1.2 at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/6 and (-9)\/2*91\/336?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = -3*m + 7, 5*m + 6065 = -5*n - 6087 + 12167 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28\/32*((1 - 1) + 8) - -174040 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in v**3\/3 - 3*v**2 + 20*v\/3 = 0?\nAnswer: 0, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -51 - -53. Put u, -19, 3 in descending order.\nAnswer: 3, u, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 101 - 2144020?\nAnswer: -2143414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1684977 divided by -19.\nAnswer: -88683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 95\/13 + 508\/39. Find the common denominator of -45\/7 and l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3*y = -5. Let t = -61 - -58. Sort y, t, 3.\nAnswer: t, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 6 + (-5 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 PM and 9:15 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 225, 912, 1621, 2364, 3153, 4000, 4917?\nAnswer: 5916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3, 1\/11, -2\/13, 19?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*y**2 + 4*y**2 - 14*y**2 + 5*y**2.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17638 - 17633. Solve n - 2 = -y*p, -19 = 5*n + 6*p - 10*p for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -10, 26, 108, 260, 506, 870?\n\"Answer: 4*s**3 - s**2 + 11*s - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -76*g**2 - 29*g**2 - 10*g + 111*g - g**5 + 187*g wrt g?\nAnswer: -20*g**3 - 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 112544897\/162890 - -1188\/6265. Let s = 691 - t. Which is smaller: -1 or s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 29*n**2 + 60*n - 5. Is g(-31) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/221?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1135 times -84423?\nAnswer: -95820105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/6)\/y*(y**1\/y)\/y)\/((y*y**(-4))\/((y\/y**9*y)\/y)) assuming y is positive.\nAnswer: y**(-43\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(112) - -3*(sqrt(112) - (sqrt(112) + 0))) - 3*(4 + sqrt(28)\/sqrt(4) - (sqrt(7) + 1 + -2)))**2.\nAnswer: -80*sqrt(7) + 212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21 and 96?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 3 = -15. Suppose -5*t = 5*k - 15, k - 9 = -b*t - 0*k. Suppose t*g + 0*g = 51. Solve 0*s + n = 3*s + g, 4*n = 8 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14263 and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11123324 + 2?\nAnswer: 11123331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4053019 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 825 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-6)\/(-4) - (-148)\/8 and 22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -5 (b) 33 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 193 + -190. Solve z*x = 3*j - 6, -j + 9 - 1 = 5*x for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v - 7*x - 33 = -12*x, -4*v - x = -17 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12724 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2\/45, 0.1, -5.\nAnswer: -5, -3, -2\/45, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ubbbbuywubububbuwu. Give prob of sequence wu.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 5 - 33. Let g(f) = t*f - 4*f + 2*f - 4*f. Let m(a) = -a**2. What is m(g(r))?\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-5*(sqrt(76) + 2 - sqrt(76)))**2.\nAnswer: 1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m - 5*m - m + 2 - 2 - 2*m + 1 + 0 + m + 0 + 0*m + 0*m + m + (-3 - 2 + 4)*(-3*m - 5*m + 6*m).\nAnswer: -m + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**3\/2 + 47695*u**2 + 1621371*u\/2 + 1430595 = 0. What is u?\nAnswer: -95373, -15, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 - 10*a - 226. Let u be (-3)\/((-728)\/(-49) - 15). What is g(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + 2*a)*(-2*a - 4*a + 4*a - 12) + (-6*a**2 + 4*a**2 + 4*a**2)*(-5 + 0 - 3).\nAnswer: -20*a**2 - 24*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -895*j**2 - 887*j**2 + 4*j - j**3 + 2673*j**2 - 894*j**2. Let c = 2 - 1. Let h(b) = b**3 + b. Let z(k) = c*q(k) - h(k). Determine z(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140338.\nAnswer: 2, 11, 6379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(300)\/sqrt(5))\/sqrt(12))**2.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10.26 + 0.26. Let i = w - -9.7. Which is the third smallest value? (a) 0.5 (b) i (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1548, 1394, 1240, 1086, 932, 778?\nAnswer: 624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hthchctttttattata. Give prob of sequence ctaa.\nAnswer: 9\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/2 (b) -6\/5 (c) -17 (d) -5731\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1350.1 - -1350. Let j = -199\/1755 + 17\/65. What is the nearest to -1\/4 in l, j, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 13, p: 5}. Give prob of sequence pnnn.\nAnswer: 143\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 56 + 79. Suppose 0 = 2*h - 5*t - v, 5*h = -0*h + 5*t + 105. Let j = -14 + h. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 3*t)*(-157*t**2 - t + 29*t**2 + 271*t**2).\nAnswer: -429*t**3 + 3*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*m**3 - 16*m - 581 + 4*m + 12*m - 2*m**3.\nAnswer: -8*m**3 - 581","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 290 is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23271?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (261320\/136220*(6 - -1))\/(8\/(-14))\nAnswer: -47\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 125.1 * 2.1\nAnswer: 262.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 9090?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -52 + 59 + (12 - 6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 646*l + 19385. What is a(-30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a meter in centimeters?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*d**4 - 8*d + 10*d + 26 - 20*d**2 - 2*d**3 - 23 + 21*d**2 - 3*d in the form p*d + u + h*d**4 + s*d**3 + l*d**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s**(1\/9))**17)**(1\/24))**(-1))**(2\/25) assuming s is positive.\nAnswer: s**(-17\/2700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -89, -326, -719, -1268, -1973, -2834, -3851?\n\"Answer: -78*n**2 - 3*n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 10275.70232 and 2580?\nAnswer: 7695.70232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (7 - 1)\/(-2) - -2138.\nAnswer: 5, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158460 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of 0*u**3 + 0 + 0*u**4 - 1\/4*u**5 - 7\/2*u**2 + 6*u. Find the first derivative of m(v) wrt v.\nAnswer: -15*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -58715884*n**2 + 304308318.\nAnswer: -117431768*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-10))\/(189\/90)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1613 (b) -2249 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cw when two letters picked without replacement from {w: 1, c: 2, f: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 8539+-0.0014\nAnswer: 8538.9986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 137370 to the nearest integer?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -11*j**2 + 3*j - 3. Let d(z) = 322*z**2 - 89*z + 89. Let t(m) = 3*m**2 - m + 1. Let a(p) = -d(p) + t(p). What is -3*a(u) + 88*g(u)?\nAnswer: -11*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 710, 933, 1156, 1379, 1602?\nAnswer: 1825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - 8*b**2 - 2*b - 14. Let u be d(-8). Suppose a = 4 - u. What is the highest common divisor of a and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -325 divided by -165390?\nAnswer: 65\/33078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eoelneeoooenneono. Give prob of picking 1 l and 3 o.\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -534 and 0.03?\nAnswer: -16.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -126025*s**4\/2 - 183535*s**3\/2 - 30225*s**2 - 1490*s - 20 = 0. What is s?\nAnswer: -1, -2\/5, -2\/71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 197177 and 269.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3\/5 + 25569*h**2\/5 - 5148*h - 1432032\/5.\nAnswer: 3*(h - 8)*(h + 7)*(h + 8524)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 134668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-1)\/(u\/((u*u*u**11)\/u)))**32)**(-9\/11))**(7\/3) assuming u is positive.\nAnswer: u**(-6720\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00578901914 rounded to five dps?\nAnswer: 0.00579","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -3*a**2 + 591477*a - 591474 = 0.\nAnswer: 1, 197158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (2 - (-3 + (7 - 4)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4134 (base 10) to base 14\nAnswer: 1714","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10335 = 28*c - 13*c. What are the prime factors of c?\nAnswer: 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/969 and 32\/209.\nAnswer: 10659","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of i**6\/120 - i**4\/8 + 2*i**3\/3 - 1. Let z(p) be the third derivative of q(p). Differentiate z(u) wrt u.\nAnswer: 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 - 19. Let n = 5.43 - -0.17. Let w = n + -5.1. What is the closest to 0.2 in w, -0.2, i?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = b + 3*u + 3, 0 = -b - 5*u - 10. Let k be b - 5 - -3*1. Suppose 0*x - 4*p - 33 = -5*x, 0 = -x - 5*p - 5. Put k, -3, x in ascending order.\nAnswer: -3, k, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3\/(7\/1197*3)*(-2)\/(-9) is divided by -21*1*6\/(-9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/5 and 85\/234339.\nAnswer: 1171695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 8*h**4 - 491*h**3 + 1353*h**2 - 1328*h + 458. Let f(b) = -2*b**4 + 122*b**3 - 338*b**2 + 332*b - 114. Let o(t) = -18*f(t) - 4*k(t). Solve o(z) = 0.\nAnswer: 1, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, 18, 54, 112, 198, 318, 478, 684?\nAnswer: 942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + -3. Suppose l - 2 = -0. Suppose 3 = -d + l*d. Sort d, -5, a in decreasing order.\nAnswer: d, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 12) to base 4.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**2 - 92*n + 89. Determine t(-47).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 - 5*o - 27. Determine d(7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(112) - (sqrt(112) + 0))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -1\/6 (b) 2\/23 (c) -8.892\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 3*u - 5. Let y(n) = 17*n - 26. Let g(l) = 11*r(l) - 2*y(l). Let f(b) be the second derivative of -b**2\/2 + b. Determine -4*f(x) + g(x).\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(2\/9)*w)**(-32)\/(w*w\/(w*w**(2\/15))*w**(-2\/11)) assuming w is positive.\nAnswer: w**(-35539\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**5\/9 - 3034336*f**4\/9 - 383635146256*f**3\/3 - 4603585343104*f**2\/9 - 4603573205792*f\/9 = 0.\nAnswer: -758582, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3039, 4997, 6965, 8949, 10955?\n\"Answer: v**3 - v**2 + 1954*v + 1085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -2\/3*l**3 + 4\/3 + 1\/3*l**4 - l**2 + 4\/3*l = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 498 a factor of 306624576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1292179217*d**4 + 1006307006*d**2?\nAnswer: -31012301208*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -104022 - 223404?\nAnswer: -332431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 134792336 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -2*k**3 + 74223350*k**2 - 688638247764486*k + 688638173541138 = 0?\nAnswer: 1, 18555837","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -64*d - 2. Let w be b(-4). Suppose -w = g - 3*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 PM and 11:03 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = o - 96. Suppose 10*k - 30 = 5*k. Calculate the highest common divisor of o and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 10) to base 15\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of a**3 - a**2\/2 - 8*a. Let y = 1 + 2. Suppose -2*v = -3*v - 4*n + 5, y*v + n = 4. What is c(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -501, -1739, -3441, -5331, -7133, -8571, -9369, -9251?\nAnswer: -7941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f. Let b be n(-4). Let q = b + -3. Solve -15 - q = 4*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -7*c**3 + 163*c**2 - 34*c - 274. Let k be v(23). Solve 5\/2*u + u**k - 1\/2*u**3 - 3 = 0.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-10)\/i*i)**(-44)\/(i*i**(1\/15))**(2\/81) assuming i is positive.\nAnswer: i**(534568\/1215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 44.93.\nAnswer: -13.479","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 2*u**2\/11 + 42*u\/11 - 200\/11 = 0.\nAnswer: -25, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 + 4*a - 12. Let n(b) = -4*b + 18. Let c be n(6). Let r be z(c). Let i(t) = 5*t**2 - t. Let x be i(1). Sort r, 2, x in increasing order.\nAnswer: r, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 747383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -1049 + 365*g**2 - 4*g + 1044 - 364*g**2. What is v(7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*d*s**3 - 6*d*s - 99*s**3 - s**2 wrt s?\nAnswer: 30*d - 594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of -k**5\/60 + 2*k**4\/3 - 5*k**3\/2 - 6*k**2. Let i be b(15). Let f = -84.3 + 84. Sort f, i, -2\/9, 2 in descending order.\nAnswer: 2, i, -2\/9, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.07, -3, 4\/7, 0.1, -0.5?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -31.4 and 9404083130.\nAnswer: 9404083098.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1210)*-2)\/(-3*sqrt(6)\/sqrt(3)) + -2.\nAnswer: -2 + 22*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -3513164 greater than -48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3, 2, -5, -18, -37?\n\"Answer: -3*t**2 + 8*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 22*k**2 + 21*k - 10. Let g be o(21). Does 21 divide (-1384)\/g + 3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 2164 = 5*p + 2169, -n - 3 = 4*p - p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3*z + 3. Let p(n) = 11*n + 6*n - 29*n + 11*n + 4 + 4*n. What is 5*p(l) - 6*q(l)?\nAnswer: -3*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*r - 5. Suppose 5*f + 50 = 3*b, r*b - 4*f - 19 = 2*b. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 13 = 54*j - 55*j, -7 = -3*j - 2*b. Sort -33, 0, j in descending order.\nAnswer: j, 0, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30054729 is divided by 4739?\nAnswer: 4730","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 6 + 1)*(1 + 0 - 2) + 5 - 1 - 3)*(2*i + 1 - 1).\nAnswer: 10*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1216?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32 + -32.00088. Round y to four dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-37)\/o**(-16) assuming o is positive.\nAnswer: o**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1036909890.\nAnswer: 2, 3, 5, 379, 10133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2163.1 + -2163. Let t = -3.5 - -3. Which is the smallest value? (a) t (b) -0.1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 196 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 common denominator of 83\/141568 and -101\/1386?\nAnswer: 14015232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -4*g - 71. Suppose 0 = -z + 6*z + 100. Let c be b(z). Solve -5*l = -c*l - 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 468240590 to the nearest 100000.\nAnswer: 468200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -2*x + 5*x + 6, 3 = 3*x + f. Factor x*z**2 - 3*z**2 + 3*z**3 - 4*z**3 - z**2.\nAnswer: -z**2*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 62*a*k + a + 89*k with respect to a.\nAnswer: 62*k + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 175160\/6795 + (-4)\/(-18).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2647*q + 6. Let z(b) = -438*b - 1. What is 2*h(s) + 13*z(s)?\nAnswer: -400*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/3*(0 - (-4)\/(-20))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 442734456 to the power of 1\/3, to the nearest integer?\nAnswer: 762","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2a5 + 104090?\nAnswer: 1039a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 2*i + 830, 10*t - 6*t - 1681 = -3*i. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39 + -39. Is -4 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 11. Let q be 2\/(-4)*(1 + f). Let d be q\/10*(-8 - 0). Solve -p = -d*p - 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -0.029, 3 in increasing order.\nAnswer: -1\/2, -0.029, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 127407 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -115587?\nAnswer: 115585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*1)\/(6300\/53550).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21660 and 2736?\nAnswer: 259920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -2285 + 9765. Suppose -3*a + 4*l + 766 = -a, h = 5*a - l. Is a a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -46 + 31. Which is smaller: k or 1\/2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 37\/2 of a tonne?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32 - -8. Let y = 43 + d. Calculate the remainder when 130 is divided by y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 132 and 531?\nAnswer: 23364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 836413?\nAnswer: 836413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/12 and 41\/252.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of 1\/3*y**4 + 0 - 1\/2*y**3 - y - 1\/2*y**2. Is w(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 30, 0, 27, 0.1 in ascending order.\nAnswer: 0, 0.1, 0.3, 27, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -20911*v + 125386. Determine s(6).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2, -3, 0.433, -2\/23, 58?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 6*b + 9 = 0. Suppose b*l = -0*l + 144. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - s + 152. Let v = s + 39. Calculate the greatest common factor of 7 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 18, -5, -21310?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6531745*f**5 + f**2*s - 157089*f*s + 9*f - s - 3 wrt f?\nAnswer: -130634900*f**3 + 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 357 (base 9) in base 5?\nAnswer: 2140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 f, and 1 k when three letters picked without replacement from ulkfkklklk.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7154 (b) -74 (c) -4.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -261*s + 13 + 267*s - 2 + 0*s - 3*s + 2*s + (-2 + 6 + 0)*(3*s - 3*s - 2*s).\nAnswer: -3*s + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -1. Let j = 12.4 + 78.6. Let i = -90.8 + j. Sort h, -2, i in ascending order.\nAnswer: -2, i, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 6 = -5*h, -4*h + 2*a = 4*a - 6. Suppose 6*u + 3480000 = 7*u. Suppose -2*b = 4*p - u, -p - h*p = -5*b + 8700000. Round b to the nearest 100000.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 0*f - 5502 = 4*z, -f + 1839 = -3*z. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 6078*x + 619943. What is z(-102)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7041 and 1287?\nAnswer: 3020589","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 7:11 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 605 and 447777?\nAnswer: 24627735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -2*v - 7116, -4*v - 12071 = 5*r + 2166. Is (-1)\/(-2) - v\/22 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of 0*i**3 - 1\/105*i**6 - 1\/35*i**5 - 5*i + 0*i**2 - 1\/42*i**4 + 3. Let d(g) be the first derivative of l(g). Factor d(s).\nAnswer: -2*s**2*(s + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.05 - -4.05. Let d = 0 - z. Let c(q) = q**2 - 5*q - 4. Let f be c(6). What is the closest to 0 in f, d, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -527*a**2. Let u(y) = 6*y**2. Give u(r(w)).\nAnswer: 1666374*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 415, 1720, 3895, 6940, 10855, 15640, 21295?\nAnswer: 27820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, p: 4}. Give prob of picking 1 q and 3 p.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f + 2. Let n be g(-2). Let c(q) = q + 1. Let x(v) = 1. Let o(h) = -3*c(h) + x(h). Calculate o(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 403 and 40.\nAnswer: 16120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1497 is divided by 673.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*l**2 + 0 + 0 + 0*l**2 + 2*l**2 - 3*l**2 - 2*l**2 + 3*l**2 - 3*l**2 + (-l + l - l)*(-1 - l + 1).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -13*w + 3. Let q = 181 + -179. Let i be k(q). Which is bigger: -24 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48280.\nAnswer: 2, 5, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -4167*q**2 - 8. Let w(k) = 2*k. What is n(w(h))?\nAnswer: -16668*h**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, -537, 4, 2\/13, 2, -2\/5 in increasing order.\nAnswer: -537, -2\/5, 2\/13, 2\/11, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 78869603 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) 3\/550 (c) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1743 - 5?\nAnswer: -1748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 3*q = 48, 12*g = -53*g + 5*q - 255. Let t be -2 + 4 + -4*1. Which is the fourth smallest value? (a) -4 (b) 0.5 (c) t (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 168 and 1770132.\nAnswer: 3540264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 119*s**2 + 21*s + 82. Is b(-6) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - b + 30 = 2*b, 3*o - 5*b = -16. Suppose z - 8 = 4*f, 5*f + 0 + 17 = o*z. Solve 2 = n - 2*n - 5*c, -4*n = z*c - 8 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, n: 4, o: 1, f: 1, s: 6}. What is prob of sequence ss?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 3*w**2\/4 + 195*w\/2 = 0.\nAnswer: -130, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 12, x: 4, s: 4}. Give prob of picking 2 x and 2 s.\nAnswer: 12\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 - (-84 - (-16 + -81)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3433815066 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 3. Let w(f) = -3*f**3 - 7 + 6*f**2 + g*f**3 - f**2. Give w(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-13)\/4 - (-5625)\/(-1500). Let g = -4 + 9. Sort 2, n, 0, g.\nAnswer: n, 0, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 35*m - 38 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 45*v**2 + 50*v + 11. Let w(l) = -9*l**2 - 10*l - 2. Let f(r) = 11*w(r) + 2*x(r). Find the second derivative of f(c) wrt c.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1527, 1524, 1509, 1476, 1419, 1332, 1209?\n\"Answer: -z**3 + 4*z + 1524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 122*-0.807.\nAnswer: -98.454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/((-6)\/(-4) + -3). Let v(a) = -a**3 + a**2 - 3*a + 1. Let g be v(w). Suppose -108 = -s + 13*s. Is g bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide ((-144)\/(-108))\/(((-24)\/10449)\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 54 + 20. Let n = d + 8. Is 17 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3979 is divided by 877?\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*k**5 + 104*k**4 - 187051*k**3 + 5*k**2 + 83*k + 31646?\nAnswer: -180*k**2 + 2496*k - 1122306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10730 to the power of 1\/4, 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 6596?\nAnswer: 2, 17, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 less than -17240.5402905955?\nAnswer: -17240.9402905955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, i: 13, q: 5}. What is prob of sequence icqi?\nAnswer: 13\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -124 divided by 5\nAnswer: -124\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 420029108?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-5 - (0 + -2 + 3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -618 + 121. List the prime factors of s.\nAnswer: 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 9:19 AM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*f + 3*f + 12. Suppose -s - f*a = 9, 4*s - 2*a + 0*a - 34 = 0. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1630 - 1430. Calculate the highest common factor of r and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t, 1 z, and 1 m when four letters picked without replacement from rtmmtrqbrtmbmzm?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -11.7 bigger than 572?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-7)\/((y\/(y\/(y*y**(-2\/15))))\/y))**10\/((y**2*y**(-4))\/(y*y**(2\/7)*y*(y*y**(-2\/13)*y)\/y*y)) assuming y is positive.\nAnswer: y**(-17072\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -9716*x + 9711*x - 3*r, 4*r + 32 = x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 936350433?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30 + 32. Suppose -s*r + 288832 = 3*x + x, -72208 = -x - r. Suppose 5*z = 3*g + 108320, 3*g - 5*g + 2*z = x. Round g to the nearest one thousand.\nAnswer: -36000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-24)\/j*j**(-24))**23 assuming j is positive.\nAnswer: j**(-1127)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*q**3 - 12*q**3 - 10*q**3.\nAnswer: -16*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 28134132746 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 140977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1141812, -2283179, -3424546, -4565913?\nAnswer: -5707280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v\/v**3)\/(v*v*v**(4\/7))*v**(-3\/7)*v*v*v\/(v**(-2\/7)*v*v))\/((v\/v**0)**(2\/51))**(-1\/3) assuming v is positive.\nAnswer: v**(-1822\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -230\/53467 or 1?\nAnswer: -230\/53467","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 369031 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1013990, -2027940, -3041888, -4055834, -5069778, -6083720?\nAnswer: -7097660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -4 + 288*m**2 - 12*m - 278*m**2 + 3*m + 8. Is h(13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 318 - 601 - 357 - o**2 to t*o + y*o**2 + v and give v.\nAnswer: -640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -392 and -0.54?\nAnswer: 211.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - p)*(1 + 2*p**2 - 1)*(-2 + 5 - 9)*(2 + 1 - 2)*(-p - p - 2*p).\nAnswer: -48*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5951983 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 3*f + 52. Suppose 4*t - x = f, -6*t + 8 = -2*t + 4*x. Suppose -4 = -t*u + 8. Solve 0 = u*r + 15 - 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.276001 years?\nAnswer: 0.000276001","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 11 + 15 = 0. Let r = -2 + 2. What is the tens digit of 202 + r + 2\/2 + c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 5*f + 20, -3*c + f + 8 = -f. Suppose 2*a + 2*a = c. Let w = 6 - 2. Put a, -4, w in increasing order.\nAnswer: -4, a, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 42*i*l**2*t - 3*i*l**2 + 3*i*l - 4*i*t - 2*i - 3*l**2*t + 2*l*t wrt l?\nAnswer: 84*i*t - 6*i - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 884280 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -14694.5416 to the nearest 100.\nAnswer: -14700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + -3. Let d be s*(-2)\/(-4)*-2. Suppose g - d*r = -g + 30, -3*g + 23 = -2*r. Solve -g*y = m + m - 7, 0 = 4*y - m - 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 19416\/6157?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 475 + 39 - 62 - 3*n + (-n + 2*n - 2*n)*(0 + 4 - 2) - 3*n + 5*n - 3*n.\nAnswer: -6*n + 452","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 722 + -658. Calculate the lowest common multiple of 64 and v.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 2*w - 2. Let t(a) = a**2 - 5*a**2 + 5*a**w. List the prime factors of t(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7709 - 7701 + 3318*x**3 - 3306*x**3 + 15410.\nAnswer: 12*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.8 (b) 1 (c) 1\/110 (d) 1\/3 (e) -3 (f) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.20321 + -0.01679. What is the biggest value in l, -0.2, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*k + k. Let a(r) = -r**2 + 6*r - 3. Let t be a(4). Let c(m) = -m**2 - m - t*m + k*m. Let u(h) = 13*h. Determine u(c(w)).\nAnswer: -13*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 5 = 2. Let c(o) = 4*o - 3. Let g be c(9). Let r = g + x. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 122 + -94. What is the remainder when 111 is divided by s?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*m + 9, 5*q - 21 = 3*m. Let c(f) = -4 + 1 + f + q + 3. What is c(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 127 - 138 - (1 - 4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13100413.\nAnswer: 349, 37537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 402\/2211 - (-6)\/(396\/(-1002)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**2 + 3*d**2 - 5*d**2)*(30*d - d - 8*d)*(-3 + 2 + 0).\nAnswer: 84*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2 + 79623862*h + 1584989849948761.\nAnswer: (h + 39811931)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 150 = 2*r. Let p be 6\/r + 204\/5. Suppose -64 = -5*z + p. What are the prime factors of z?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -5, -451315, -3 in decreasing order.\nAnswer: -3, -5, -19, -451315","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5 or 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o + 2*o + o)*(0*o + 2*o - 20*o) - 5*o**2 + 7 - 3753*o + 3753*o.\nAnswer: 13*o**2 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*q - 4 = 21*q, -2*y = -3*q - 8 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a**3 - 7*a**2 - a - 1. Let o be x(-5). Let h = o - 36. Suppose -7 = -2*r + h. What are the prime factors of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b (base 12) in base 3?\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 5*s**3 - 32*s**2 - 159*s + 1029. Let z be l(6). Suppose 80*c**z - 99*c**2 - 24*c**4 + 27 + 5\/2*c**5 + 27\/2*c = 0. What is c?\nAnswer: -2\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -89 + 93. Which is the closest to -5? (a) 0 (b) v (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 6:27 AM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.41 + 3.21. What is the nearest to -9 in -1, 0.1, n, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3837*m**2 - 36*m + 22*m + 14*m to the form d*m + i*m**2 + r and give i.\nAnswer: 3837","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 5*m = -1119. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2530 + 2534. Solve 4*f = f + n*p - 10, 3*p = 3 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11314252.\nAnswer: 2, 23, 5347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by 2037438\nAnswer: -11\/2037438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -26*h + 3. Let q(i) = 133*i - 15. Let x(o) = -2*q(o) - 11*v(o). Give x(3).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22349440 a multiple of 235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3 - 0.7. Let x(t) = 3*t + 47. Let i be x(-16). What is the nearest to i in s, 1\/3, -4\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10737?\nAnswer: 3, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/667 and (520\/(-464) - 6) + 1 + 2 + 4.\nAnswer: 1334","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -548*s - 535*s + 657*s + 92229 = 873*s for s.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (559\/4472)\/((-2)\/12).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 792500 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3400823 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 325616565 less than 325616566?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 227147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 29*u. Let d(c) be the third derivative of c**4\/24 - 2*c**2 + c. Give t(d(b)).\nAnswer: 29*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 725 - s**2 - 11*s - 725 in the form f + i*s**2 + h*s and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22932 and 3528?\nAnswer: 45864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-362)\/9 - (-2)\/9. Suppose -6*n = -11*n. Let o be (s\/4)\/(-1 - n). Solve -2*z + o = 3*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-10)*(14659 - 34)\/75.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-4)\/x)**(-44)\/(x**(-3\/4)\/(x*x**(-1\/6)\/x*x)))**25 assuming x is positive.\nAnswer: x**(66475\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**2 - 2*t**2 + 4*t**2)*(5*t - 5*t + 102*t).\nAnswer: 204*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -171685, -171906, -172111, -172294, -172449?\nAnswer: -172570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 6*k - 3. Let y(w) = 7*w. Let u(n) = 5*i(n) - 4*y(n). Determine u(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.401 + 280.801. Let v = -236 + s. Let t = v - 44. Which is the second smallest value? (a) -4 (b) 1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -1.3, -1\/7, 2\/9, -0.3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10968)\/457 + (-565)\/(-25).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 310826 + -474026. What is l rounded to the nearest ten thousand?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1516043 + 0.15236. Round x to four dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.6 - -1.3. Let s = 0.3 + c. Suppose -2*x - 5 = 3*x. What is the closest to x in -0.3, 3, s?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of -h**6\/120 + 19*h**5\/60 + 5*h**4\/6 + 5*h**3\/2 - 10*h**2 - 12. Calculate r(20).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 183 divide 325905160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/19)*z*z*(z\/(((z*z*(z\/z**5)\/z)\/z)\/z))\/z*z*z)**(4\/5)*(z**(1\/2))**(-25)\/(z**(-5)\/(z*z*z**(-2\/9)\/z*z)) assuming z is positive.\nAnswer: z**(2383\/1710)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1106 + -1031. Let i be a\/1530 + 3\/(-18). Let f = -3.3 + 5. What is the closest to 2 in 1\/8, i, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100669.\nAnswer: 100669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -281 + 2257\/8. Calculate the common denominator of t and ((-1)\/6)\/(-1*2\/222).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1801227982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-16)\/36)\/(2\/3). Suppose q = -2*f, -29*q + 33*q = 3*f - 22. Let u = -0.02 - 0.28. What is the closest to v in u, q, -1\/8?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -20*d**3\/3 - 3*d**2 - 22. What is the second derivative of z(s) wrt s?\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c + 2*c + 360*c**3 + 494*c**3.\nAnswer: 854*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2808*p = 2*o - 2804*p - 18, 0 = 5*o + 4*p - 39 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 529*k**2 - 276*k + 36 = 0.\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11683 is divided by 655?\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c - -b5?\nAnswer: a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10445?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 b when three letters picked without replacement from kikekbkbbk.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46 + -39 + (9 - 4).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1106)\/(-56959) - 105807\/1339.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 9, h: 5}. What is prob of sequence hh?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 468, -22 in descending order.\nAnswer: 468, 0, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -24, -50, -76, -102, -128?\n\"Answer: -26*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uc when two letters picked without replacement from {u: 9, c: 2}?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -73b1 (base 16) to base 3\nAnswer: -1111121221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, k: 1, a: 5, j: 2, q: 2, x: 8}. Give prob of sequence kj.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 252730?\nAnswer: 2, 5, 127, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -67*m + 18 - 2 + 132*m + 7 - 64*m. Give j(-14).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 658764.6 millennia?\nAnswer: 6587646","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2799 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7721887 is divided by 1930460?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yuri when four letters picked without replacement from {r: 2, i: 3, u: 1, y: 1}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11124214013301 + 10?\nAnswer: 11124214013311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8298 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 302709 and 1419?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/9 + (-2)\/(-6). Suppose -i - 2*r - 14 = -n*r, -i = 4*r + 18. Let m be i\/(-2 - (4 + -4)). What is the highest common factor of m and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 4 - 1. Let a be -2 + p + 14 + -3. Suppose a*f = 9*f - 145. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by -13 - -15*192\/80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-1\/3)\/y*y)\/y*y)\/y)**(-2\/35)\/(y**(-3\/4)\/y**7) assuming y is positive.\nAnswer: y**(3287\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -3. Suppose -5*y - n = -4*n, i*y = 3*n. Suppose -k + s = -3*s - 38, 5*k + s - 85 = y. Is 6 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -4*t**3 - 3*t**2 - t + 1. Let a(v) = 9*v**3 + 6*v**2 + 3*v - 2. Let w(n) = 3*a(n) + 7*k(n). What is w(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4304139*k**3*s*v**2 - 5*k**3*s*v + 4*k**3 - 460*k**2*s**2 + 2*k**2*s*v + 2*k*s**3*v + 5*s**3*v**2 - s**2 - 2*v wrt v?\nAnswer: 8608278*k**3*s + 10*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7398 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -7371.4674 rounded to the nearest 100?\nAnswer: -7400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (581\/913)\/(9\/(-198))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1167210 and 3190.\nAnswer: 33849090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1774635 divided by -3\nAnswer: 591545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/9*6378\/(-4). Let z = -975 - l. Let d(b) = 15*b. Calculate the remainder when z is divided by d(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 64 = 4. Let b = u - -119\/6. Let n = -4 - -7. What is the second smallest value in b, n, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 14*s**2 + 2*s - 2. Let y be h(2). Let b = 150 - y. Let v = b - 25. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 2\/11, -5, 3, -6?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 996626340 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1799325?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 824*u + 1 - 9 + 5 to l*u + c and give l.\nAnswer: 824","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 + 0*x + 0*x)*(x + 0*x - 5*x) + 0*x**3 + 3*x + 2*x**3 - 4*x + (-3*x**2 + 2*x**2 - x**2)*(6*x - 4*x - 3*x).\nAnswer: 12*x**3 - x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 5\/4 (c) -3 (d) 13 (e) 2\/347\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 715?\nAnswer: 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13939*z - 4643 + 4643.\nAnswer: -13939*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34145625*w**2 - 37870528*w?\nAnswer: 68291250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 458 + -367. Let w = -90.5 + f. Which is the nearest to -1? (a) -14 (b) 0 (c) w (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p + 15. Let n be h(-11). Suppose -u + 21 = 3*t - t, 63 = 3*u - t. Suppose -51 - u = -2*s - 4*z, -3*s - n*z + 98 = 0. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -3*m + 3. Let v(t) = -t**2 - 1. Let k be v(2). Let z = -82 + 84. Let c(q) = -5 + 10*q**2 - 8*q**2 + z*q**2 + 5*q - 3*q**2. Calculate k*s(p) - 3*c(p).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -342045336 by 3.\nAnswer: -114015112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-2 - ((18 - (10 + 2)) + -63)).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away 55746?\nAnswer: -55746.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of k**6 - 28*k**5\/5 + 8*k**4 - 4*k**3\/3 - 3*k**2 + 91. Let t(w) = 0. What is w?\nAnswer: -1\/3, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -7 - 4 - 3*q + 2*q. Let x be r(-8). Let i be (5 - 3) + (-20)\/16. Which is the third smallest value? (a) x (b) i (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 7:44 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/332 and -19\/53388.\nAnswer: 4431204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -968 = -5*w - 3*g, 5*w - 3*g - 996 = g. Let k = w + -352. Let t = 339 + k. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13766 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -278.\nAnswer: 3\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -159 - -144. Suppose -4*o = 2 + 6, -2*o = -5*u + 14. Suppose 0 = -5*f - 4*c + 1 - 71, -u*c - 56 = 4*f. Which is greater: q or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10395)\/37422)\/((-2)\/32*5).\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 2*v + 2*v)*(-2*v**3 + 4*v**3 - 4*v**3) + (5*v + 0*v - v)*(10*v**3 + 9*v**3 - 8*v**3).\nAnswer: 38*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 3*q - 8. Put q, 1, 2 in ascending order.\nAnswer: q, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 7 = -b, -4*b + 15 = 2*i - 17. Suppose -49*r + i*r = 1294300000. What is r rounded to the nearest one million?\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.836 - 0.836. Which is smaller: t or -394?\nAnswer: -394","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, a: 1, m: 11, g: 5}. Give prob of sequence agb.\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 36466.19 decades?\nAnswer: 364.6619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 - 77*o**2 - 22*o - 92. What is the remainder when g(-77) is divided by 67?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*p + 4*q - 198, -3*p - 3*q = 303. Is (547\/2)\/((-10)\/p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t**3 + 14*t**3 - 22210*t**2 + 22210*t**2.\nAnswer: 15*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4181 and 2260.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33611912 by 1.\nAnswer: -33611912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 132027601 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 45 = -3*w, -45 - 10 = -2*y + 5*w. What is the smallest common multiple of 10 and y?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of o**5\/110 + 2*o**4\/33 + 4*o**3\/33 + 5*o. Factor i(n).\nAnswer: 2*n*(n + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 978253793 to the nearest integer?\nAnswer: 993","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -18*z - 1283. Determine t(-71).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0992 - -0.0008. Which is the closest to w? (a) -5 (b) 1 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1884778 is divided by 180?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6739*i**2\/7 - 13480*i\/7 - 4\/7.\nAnswer: -(i + 2)*(6739*i + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 153821468 to the nearest integer?\nAnswer: 12402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (41 - (105 - 53)) + 39.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 824000025 = 5*m + 5*f, 4*m + 358*f - 359*f = 659199995. What is m rounded to the nearest one million?\nAnswer: 165000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 + 6. Let w = -7 - -1. What are the prime factors of (w\/10)\/(2\/c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8982148, -8982150, -8982152, -8982154?\nAnswer: -8982156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 1 = -79*c - 2. Solve 8 = 3*r - 7, -3*o + 2*r - 7 = c for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31 + 37. Let w be (-3)\/a + -1 - 6\/(-4). Solve 5 = -3*y + 4*t + 19, w = 2*t + 4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -938 bigger than 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12 plus -24985686?\nAnswer: -24985685.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*2 - (-26416)\/(-84). Let t = o + 916\/3. Calculate the common denominator of 18\/1*(-10)\/165 and t.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 3 + 1. What is the tens digit of r + (4\/4 - -23)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = -4*j + 15*b, 22 = -b + 25 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 3*j. Let h be 0 + -5*(j + -1). Find the second derivative of -u**5 + 3*u - 3*u**5 + u**h - 2*u wrt u.\nAnswer: -60*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2909.34586 rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -1107, 0?\nAnswer: -1107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -0*m - 5*s + 11, -2*m - 2*s = -6. Let p(h) be the first derivative of 1\/3*h**3 - 3 - 2*h - 1\/2*h**m. What is j in p(j) = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1 and 41?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3730840 times 1.6?\nAnswer: -5969344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002088 to 7 dps.\nAnswer: 0.0000209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/7 (b) -2 (c) -72 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (38\/570*36)\/(18\/(-360))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 8 in descending order.\nAnswer: 8, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = 4*v - 395. Suppose -3*x - 2*x = v. Let z = 34 + x. List the prime factors of z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13590 and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 + 0)*(2 - 3 - 3)*(1 - 4 + 1)*(-1 + 1 - s) to u + c*s and give c.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2977511?\nAnswer: 23, 129457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l**2 + 147*l - 685. Give o(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 + 7*c + 4. Suppose 0*o = 2*f - 3*o + 1, 0 = -2*o + 10. Let b be l(f). Solve -b*k = k - 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -238\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 82 + -44. Let f(s) = -12*s**3 + 2*s**2 + 2*s + 1. Suppose -2*r = y + 2*y - 1, 5*y + 2*r + 1 = 0. Calculate the remainder when o is divided by f(y).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of z**6\/120 + 8*z**5\/15 - 31*z**4\/24 + 31*z**3\/3 - 33*z**2. Let a be h(-33). Let s(q) = -q**2 - 4*q. Determine s(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13310*w - 5*w**2 - 48*w**5 + 6553*w + 6168*w wrt w?\nAnswer: -960*w**3 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.9 + 5.96. Let d = p + -0.06. Let l = -257 - -257. Which is the second smallest value? (a) d (b) -0.5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-23)\/(-69)*(-9)\/(-1). Suppose w*t + 4*r = 23430, 4*r = 5*t - 50730 + 11680. Round t to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 7 = -4*u, -9 + 49 = 5*u + 5*b. Let r = u - 0. Suppose -r*p = -0 + 9. What is the nearest to -4 in p, 0, -0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 473 and 471 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 880507215?\nAnswer: 3, 5, 7, 19, 21017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2053459 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/((-2)\/9) + -4 + 0. What is w in d*w + 1\/2*w**2 + 0 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = 105*t - 107*t + 5*l, 312 = 17*t - 3*l for t.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/13? (a) -18 (b) 1 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 376*g - 2 = -378*g + 759*g + 18, 0 = -b + 5*g + 27 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(119)\/((sqrt(42)\/sqrt(3))\/sqrt(2))*-6.\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1097, 2031, 3585, 5753, 8529, 11907, 15881?\nAnswer: 20445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, d: 2, q: 1, y: 2, v: 1, z: 1}. What is prob of picking 1 q and 1 v?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, f: 3, s: 5, y: 1, w: 5, d: 3}. What is prob of sequence dh?\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, a: 1, d: 2, j: 1}. What is prob of picking 1 j and 1 i?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -21*q**3 + 2*q**2 + 3*q + 2. What is the remainder when 41 is divided by b(-1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1130*h + 617*h = 3865*h - 31770 for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -40, -1\/31, 3, 9 in ascending order.\nAnswer: -40, -10, -1\/31, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.05 at least -33\/59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9529501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 59.0506 to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -12*f**2 + 9*f - 145. Let h(s) = 7*s**2 - 5*s + 72. Let y(k) = 7*h(k) + 4*j(k). Let m be y(8). What is the smallest value in 13, m, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xezpxezzzeuc. Give prob of picking 1 x, 1 e, 1 c, and 1 z.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01337972 to four dps.\nAnswer: -0.0134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = 0, -89*x + 28*h - 29*h = -94*x - 15 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 413919 and 6215?\nAnswer: 1243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1437 + 11513\/8. Find the common denominator of (-107)\/(-6) + 1\/3 and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -75*j**2 - 11*j - 12. Let q be o(8). Let v = -1389 - q. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4, -0.1, -4\/5, 2, 1377\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -55*b**6 + 36*b + 194*b**6 + 17803*b**2 - 17807*b**2 wrt b.\nAnswer: 16680*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10771.43 at least as big as 2\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 + 0.8. Let y = v + -2.5. Let p = y - -0.6. What is the nearest to -2 in -4\/5, 0.2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v + 10. Let c be z(15). Let l(h) = h**3 + 21*h**2 + 15*h - 30. What is the units digit of l(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*x - 8*x = -42 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 587*k = -3973*k - 545*k - 199095 for k.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 743*k + 200. What is the units digit of j(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 83*f**4 + 68*f**3 + 17279.\nAnswer: 332*f**3 + 204*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-3))\/((-20)\/30). Let t be 0 - (178\/1)\/d. Suppose -5*m + t = 5*x - x, -5*x + 216 = 3*m. Does 9 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1*((sqrt(1088) + 4)**2 + -5) - (-4 + 2*sqrt(1088)*5)**2) + 0.\nAnswer: -3456*sqrt(17) + 659490","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.2203 + -15.7727. Let h = g - -18. What is h rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 - -8. Let p(h) = -3*h + 2. Let t(n) = n. Let a(i) = p(i) + 4*t(i). Determine a(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 954 and 2438.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5243 or -99123?\nAnswer: -99123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/13 + 2198*z**2\/13 + 547788*z\/13.\nAnswer: 2*z*(z + 382)*(z + 717)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1023033120 (base 4) in base 3?\nAnswer: -120122202020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4014323 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 68 - 43. Suppose -2*f - 3*u = -3, -5*f - 4*u + 1 = -3*u. Suppose -3*d + 8*d - y = f, -4*w + 2*d + 138 = 0. List the prime factors of w.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -3 (c) -2\/55 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -169\/6216 and -29\/264.\nAnswer: 68376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -y + 126. Is 18\/y - (11640\/(-21) - -3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + 7*t**2 - 3*t + 9. Let q(k) = 4*k**3 - 18*k**2 + 9*k - 24. Let d(l) = -7*o(l) - 2*q(l). Give d(-13).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ypba when four letters picked without replacement from {y: 2, a: 1, p: 4, b: 8}.\nAnswer: 8\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 5:14 PM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6335 (base 11) to base 8.\nAnswer: 20303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -6785 - 90 - 2721. Does 37 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -8 + (4 - -5 - -4). Solve -s*d - 5 + 0 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4376.5432 + 0.4568. Let u = 4377.01959 - d. Let g = -0.019 + u. What is g rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -47\/2 + 24. Let y be 28\/126 - 11\/9. Which is the nearest to w? (a) -0.2 (b) y (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 305 - 34. Suppose 149 + w = 14*u. Calculate the least common multiple of 9 and u.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 3*m**2 + 3*m - 2. Let v be k(-5). Let h = -14 + v. List the prime factors of h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7181153? (a) 2 (b) -1 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1855*p**2 + 320*p - 60.\nAnswer: 5*(7*p + 2)*(53*p - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -315*n - 1461. Let p be k(-5). Solve z + 118 = p for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48)\/(-300))\/((-5984)\/(-425) - 14)*170\/4?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millennium in centuries?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -5*s. Suppose s*u - u = 0. Suppose z - 105 - 128 = u. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -279 - -284. Suppose u - 4 = -o, -u + 3*o + m = -7. Let l(c) = 2*c - 7. Calculate l(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-15)*660\/33. Solve -2167 = v*d - 2151 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18839 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -35*k**3 - 69100*k**2 - 34115655*k - 9741690 = 0. What is k?\nAnswer: -987, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -132*v**5 - 96015*v**4 - 44*v + 585989.\nAnswer: -2640*v**3 - 1152180*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 3*k = 15. Suppose -3*n + k*n = 24. Let y = n + -7. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*d**2 + 4324 - d - 4324.\nAnswer: -10*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 68473 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 - 6*j - 6. Let m be x(-4). Let n be (-1)\/(m*(-2)\/20). Factor 16*b**3 + 19 - 6*b**3 + 15*b**2 - n*b**4 + 1 - 40*b.\nAnswer: -5*(b - 2)*(b - 1)**2*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f - 4 = -8*f. Let r = f - -19. Let w = 0.286 + -0.086. Which is the closest to r? (a) -2 (b) w (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3803 = -585*z - 279*z + 8079 + 214 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -0.4 (b) -1\/2 (c) -25\/7 (d) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y**2 - y - 60. Let d(f) = f**2 + f + 58. Determine 2*c(v) + 3*d(v).\nAnswer: -v**2 + v + 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-477)\/(-12))\/((-195)\/(-26260))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -147 - 48. Let y = d - -307. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 3*z**2 + 19*z + 3. Let h(a) = -a**3 + 8*a**2 - 4*a + 25. Let u be h(8). Calculate the remainder when 81 is divided by l(u).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {x: 6, z: 10, s: 1}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 4*h = 2*h - 4, 5*h = 2*r - 24. Let m be (1*(3 + 1))\/r. Solve -9 - 1 = -m*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80 divided by -2.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 f when three letters picked without replacement from {d: 3, f: 3, z: 8, p: 3}.\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -429*w + 164*w - 25 + 269*w.\nAnswer: 4*w - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9591?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 5*z, 155 = 5*x + 3*z + 116 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.67 + -117.33. Let x = m - -119. Which is the closest to 0.1? (a) -0.5 (b) x (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 28*j**5 - 32*j**4 - 136*j**3 - 64*j**2 + 12*j = 0.\nAnswer: -1, 0, 1\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -71*b - 614 + 898. Let x(k) be the first derivative of -36 + 5\/6*k**b + 0*k - 14\/3*k**3 + 49\/9*k**2 - 2\/45*k**5. Factor x(a).\nAnswer: -2*a*(a - 7)**2*(a - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2477 - -70.6877. Let g = i + -69. Round g to 1 decimal place.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001148625 to five decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 - 5*z - 4. Let q be n(6). Let o(w) = 3*w**2 - w**2 + 2*w**q - 5*w**2. Let s(a) be the first derivative of a**2\/2 + 2. What is s(o(b))?\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttttttttttttjt. What is prob of picking 4 t?\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-11)\/(-7) - ((-200)\/(-56) - 4). Let p be (-29)\/(-7) + y\/(-14). Solve p*g - 2*g = 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1137967 - 691760. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 6*n - 3*n. Let m(u) = 17*u**2 + 14*u + 1. Let k(b) = 15*b**2 + 9*b + 1. Let c(l) = 8*k(l) - 5*m(l). What is the tens digit of c(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y - 1. Calculate m(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + c + 21 = 0. Suppose -2*h = -c*h + 65. Is 13 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*l**3 + 99*l**2 + 101*l**2 - 200*l**2.\nAnswer: 15*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -5*l**4\/4 - 55*l**3\/3 + 477. Factor r(m).\nAnswer: -5*m**2*(m + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 544, 2439, 5664, 10225, 16128?\nAnswer: 23379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 200863, 401726, 602589, 803452, 1004315, 1205178?\nAnswer: 1406041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 128487674?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -4231241?\nAnswer: -4231240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1354567858?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 363 and 78639.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g**3\/5 - 26597*g**2\/5 - 46559*g\/5 + 13302\/5 = 0 for g.\nAnswer: -2, 1\/4, 6651","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of -19*b**4\/8 + 40*b**3\/3 + 33*b**2. Is t(-29) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 881107?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 4 - 5)*(88*i - 8 + 8 + (i - 2 + 2)*(3 + 3 - 4)) to the form t*i + k and give t.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -3 + 0 + 1 + (-2*sqrt(931))**2 + ((sqrt(931) + (sqrt(931) - sqrt(931)*-3))*6)**2.\nAnswer: 841623","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -0.45935 (c) 14\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2417.\nAnswer: 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.13, -1\/3, -0.8, 4, -17?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3c1 (base 13) to base 14\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5831, -6192, -6555, -6920, -7287?\n\"Answer: -f**2 - 358*f - 5472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*p + 185 + 862 + 251 = 0 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 238, 227, 200, 151, 74, -37, -188, -385?\nAnswer: -634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.12969 - 0.22969. Let s = -45.85 - -13.6. Let a = s - -0.25. Put 1, o, a in descending order.\nAnswer: 1, o, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + 1*sqrt(304) - sqrt(304)) + (-2 + sqrt(304))*-2 + -4 + (sqrt(304) - (sqrt(304) + 3)) + 5 + 1)**2.\nAnswer: -32*sqrt(19) + 1220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of -5*i**4\/4 + 2*i**3\/3 + i**2 + i - 3972. Let l(m) = m**3 + 2*m**2 - 3*m - 1. Let v be l(-3). Give f(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a centimeter in millimeters?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 76\/3 + -25. Let t be (-138)\/92*(1 + (-31)\/33). Let j = 1 - -1. What is the closest to j in t, 1\/6, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 38*q - 16 - 26*q**2 - 74*q**2 + 42*q + 0*q**2.\nAnswer: -4*(5*q - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(21) + (-2*sqrt(1029) - sqrt(21)))\/(sqrt(7) - sqrt(35)\/sqrt(5)*6) + (3*(sqrt(9) + -2*sqrt(9)))\/(sqrt(24)\/sqrt(72)))**2.\nAnswer: 2908\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*m**2 + 3*m**2 + 3*m**2)*(-1 + 2 + 0)*(-4 + 4 - 2).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9\/2 or -158\/13?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67593156 is divided by 67593148?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 5*d = -0*d + 6, 3*d + 2 = 4*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 653438254.\nAnswer: 2, 7, 4517, 10333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17566903805 - 17566902215.9996082. Let u = -1589 + w. What is u rounded to 5 decimal places?\nAnswer: 0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 + 15. Let v be (-2)\/(-4)*(0 + 0). Suppose -i - i - 8 = v. Which is the nearest to 1? (a) x (b) 3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1212 (base 4) to base 12.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 140 and 7210?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1831644 divided by 498.\nAnswer: -3678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/7 (b) -5 (c) -88\/3 (d) 0.8 (e) 3\/28 (f) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 42032.73*-3\nAnswer: -126098.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 90626, 181247, 271866, 362483, 453098?\nAnswer: 543711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 60038057\/4972 + -48301\/4. Calculate the common denominator of -5\/678 and n.\nAnswer: 7458","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76618161 to the power of 1\/2, to the nearest integer?\nAnswer: 8753","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 218 = q + 5*i, 62*q = 58*q + i + 851. What is the greatest common divisor of q and 923?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 621 and 529?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**2 + 313550060*j - 12289205015750450 = 0. What is j?\nAnswer: 78387515","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -983416006.49 and 2718.\nAnswer: -983413288.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bba when three letters picked without replacement from {b: 7, a: 6}.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 29 = 31. Suppose 5 = -f*n + 3*n. What is a in 2*a**2 + n - 21 - 6*a**2 - 16*a = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000111000 + 11011110100?\nAnswer: 100100101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 185*c**2 + 2*c**3 - 187*c**2 + 0*c + 0*c + 3*c as v*c**3 + d + p*c + w*c**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23479 - 5870 - 5876 - 5865 - 107*t - 5868.\nAnswer: -107*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = v - 0*v. What is the common denominator of 51\/10 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c**2 + 11*c - 8. Let u = 127 - 134. Let v be f(u). Solve -v = -3*l - 22 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291.30433 rounded to the nearest 10?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.947 and -0.23?\nAnswer: -0.21781","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12485622 and 228.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41\/((-1353)\/18) - 52\/(-110)*(-140)\/(-224)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w - 2. Let l(j) = -j + 2. Calculate 3*l(t) + 4*s(t).\nAnswer: t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49000 is divided by 2722.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2334803 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - 6 - -2*2. Let p(f) = -f**3 - f**2 + 8*f - 3. Let k be p(r). What is the tens digit of 9\/k*(-140)\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3 + sqrt(704)*2 + 0 - (((sqrt(110)*2 + sqrt(110))*6)\/(5*(sqrt(30)\/sqrt(3) + sqrt(10) - sqrt(10)) - sqrt(10)) + 1).\nAnswer: -5 + 23*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34 and 782.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1215 * -17865\nAnswer: -21705975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0134 and -2.\nAnswer: 0.0268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 3554905923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 679060?\nAnswer: 2, 5, 19, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 108 - 102. Let w = 7 + -7.7. Let r = -0.7 - w. Put r, -4, d in decreasing order.\nAnswer: d, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 16 - 6. Let g be (w\/(-16))\/((-2)\/(-8)). What is the nearest to 1 in -3, g, 1\/4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.01309 (b) 0 (c) 0.1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 - 7*i + 8. Let d(x) = x**2 + 13*x - 16. Determine -11*b(a) - 6*d(a).\nAnswer: 5*a**2 - a + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -48? (a) -2 (b) -0.5 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q**2 + 2*q**2 - q**2 + (2*q - 2*q - 2*q)*(-6*q + 2*q + 3*q))*(-71 - 49 - 358).\nAnswer: 478*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 + 0*p**2 + 3*p**2)*(-p + 0*p + 2*p + (5 - 5 - 2)*(-44*p + 30*p - 212*p) - 2*p + 4*p - p).\nAnswer: 908*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((0 - -1)\/1)\/1. Calculate the common denominator of 7\/3 and (22 + 0)\/(d + -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 26 = z + 8*d, -2*d - 10 = 0. Which is the third biggest value? (a) 5 (b) z (c) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 71744896 to the nearest integer?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from abaaabb?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.35 - 22.65. Let q = y - -22.7. What is the third biggest value in 2\/11, q, -0.2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -0.32, -0.3, 0.5, -0.4, -20?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 9) to base 3\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0.037, 1.15286 in descending order.\nAnswer: 1.15286, 0.3, 0.037","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 396 is divided by 40.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1756649 at least as big as -1756653?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 18*j**3 + j**2 - 6*j - 3. Let r be f(5). Let t be -1 + (r\/4 - 2). Let z = t - 541. What is the common denominator of z and 65\/22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24*u**4 - 25676*u**3 - 411341*u**2 wrt u.\nAnswer: -576*u - 154056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 less than 3767465?\nAnswer: 3767464.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**2\/y*y\/y**(4\/3)*y)\/(y**(1\/7)\/(y*y**(-2\/13)))*y**(1\/5)\/(y*y*y**(-2\/3)*y*y*y*y)*y**(5\/6)\/y*y**5 assuming y is positive.\nAnswer: y**(5651\/2730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9112396 * -0.07.\nAnswer: 637867.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72 and 6483800?\nAnswer: 58354200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -4*t + 72 - 49, -3*t = -2*j - 21. Let b = 10.36 - 0.36. What is the third biggest value in 2, 4, t, b?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -48*l**3 - 4*l**2 - 3*l - 2. Let s be w(-2). Suppose s = 8*n - 2*n. What are the prime factors of n?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1216712.6 (b) -3\/5 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.034 - 0.033985. What is g rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*m - 24 = -106. Suppose -2*t - 9 = -5*t. What is the highest common divisor of m and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 102, 203, 304, 405, 506?\nAnswer: 607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -494.92175150718 - -0.92174781718. Let s = j - -494. Round s to seven decimal places.\nAnswer: -0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 228.614 milligrams to kilograms.\nAnswer: 0.000228614","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*q + 21*q = 19*q + 144. Let o(f) be the second derivative of -3\/20*f**5 + 14*f - 1\/2*f**q + 0 + 1\/2*f**3 + 3*f**2. Solve o(z) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24 + -233?\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1017851592 to the power of 1\/4, to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 497699.8mm?\nAnswer: 497699800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2723 and -0.054.\nAnswer: 2722.946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - 7*n**2 - 12*n + 5. Let y be v(-3). Solve -y + 1 = -2*c + 4*j, -4*c + j + 15 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 PM and 12:02 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w. Let o(i) = -39322*i. Calculate h(o(s)).\nAnswer: 78644*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 180*b - 2874. Let p be q(16). Solve -3*f + 13 = 4*x, -f + 3*x = 6*x - p for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1523*p - 3*p**2 + 8*p**4 - 3052*p + 1528*p wrt p.\nAnswer: 96*p**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3c9b (base 13) in base 9?\nAnswer: 12888","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(171)*1 + sqrt(171))\/sqrt(9) + sqrt(19) + sqrt(19)*-2 + 5 + sqrt(19))**2.\nAnswer: 20*sqrt(19) + 101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/5 (b) -123 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 9.2. Let d = -410 - -2052\/5. Put -2\/9, 0.1, d, a in increasing order.\nAnswer: -2\/9, 0.1, d, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 5*k**2 - 50*k - 375 = 0.\nAnswer: -5, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -777 - -767. Let h = 30 + 16. Let m be 3*(h\/(-18) + 3). What is the smallest value in m, w, 1\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*o**2 + 2*o - 203*o**3 + 205*o**3 - 1 - 16*o**2 to u*o**3 + d*o**2 + j + k*o and give d.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from wwnwnzwzwzzzzww.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f + 3. Let o = 37 - 58. Let t(d) be the third derivative of 3*d**4\/8 - 2*d**3 - 71*d**2 + 21. Determine o*u(l) - 5*t(l).\nAnswer: -3*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 9 = -8*c. Suppose -c*x - k + 92 = -2*k, 2*k = 8. Is 32 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 9*q**2 - 12*q - 12. Calculate l(-9).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 83408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -366, -3?\nAnswer: -366","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 64912993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 8 = r - w, -3*r + 40 = -5*w. Let v be 48\/16 - (-1 + -39). Let s = -39 + v. What is the lowest common multiple of s and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + (56 - -1) + 2. Let j = 34 - 22. Calculate the greatest common divisor of j and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35 + -36. Let m(f) = 10*f + 16. Let g be m(o). Solve -g = 67*b - 64*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w**3 + 5*w + 26. Calculate the remainder when 2254 is divided by a(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 7*d**2)*(2 - 4*d**2 - 2) - 1 + 1 + 2*d**4 + (4*d + d - 3*d)*(-4*d**3 + 1 - 1) to u*d**3 + a*d**4 + h*d + x*d**2 + l and give a.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9 - ((11 - 3) + (10 - -1) + -17). Solve -5*k = 3*t + n + 15, 3*k + 14 = -t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 587.\nAnswer: 5283","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, h: 2, f: 2, b: 1}. Give prob of picking 2 h and 1 f.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 13*b**2 + 22*b + 2. Suppose z + 3*i = -26, z - 21 = 2*z + 2*i. Let o be d(z). Factor 10*s - 5*s**o - 4 + 36*s**3 - 3*s**2 - 34*s**3.\nAnswer: 2*(s - 2)*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of 3*i**2 - 11\/336*i**8 + 0*i**4 + 0*i**3 + 0 + 0*i**7 - 1\/20*i**5 + 0*i**6 + 0*i. What is the third derivative of c(g) wrt g?\nAnswer: -660*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1458 + 1573. What is the greatest common factor of w and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/9918 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 2*q - 73596 = -3*q - 73598, -6 = -6*r + 3*q for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 7130 divided by -310\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.0314, -5.8, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 101 + 851. Let f = 952.000982 - g. Round f to 4 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 127628 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o**3 + 60610*o**2 + 121205*o + 60600 = 0. What is o?\nAnswer: -12120, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 4:20 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-44)\/(-7 + 3) + 1. Let n = -26 + d. Let l be (-7)\/n + (-90003)\/6. Round l to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 38700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 454 - -14.3.\nAnswer: 468.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1554?\nAnswer: 2, 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 AM and 9:09 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fdd when three letters picked without replacement from dhhfffddfhhhdfdfddfd.\nAnswer: 49\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 6*r + 72. Find the first derivative of -h**2 - r*h**4 + h**2 + 18*h**4 + 5 wrt h.\nAnswer: -24*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q + q - 2*q + 9*q.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.011 times 0.2\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k*k**(1\/3)))\/(k*k**(2\/11)*k))\/((k*k*k**(1\/10)\/k)\/k*k**1*k) assuming k is positive.\nAnswer: k**(-1193\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 10:43 PM?\nAnswer: 1:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -231121021 (base 4) to base 8\nAnswer: -553111","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 14*c**2 + 9*c. Let q(m) = 3*m. Give u(q(h)).\nAnswer: 126*h**2 + 27*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*j**3 - 191*j**3 + 93*j**3.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 115 = 41. Let s = z - -66. Calculate the lowest common multiple of 5 and s.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**36*m**20*m\/((m\/(m*(m**(-1)*m)\/m)*m)\/m)*m**(-7\/2)*m assuming m is positive.\nAnswer: m**(107\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 + -13.7. What is the closest to 0.1 in -1, i, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3354?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -372*d - 403*d + 880*d + (-2*d - 3 + 3)*(3 + 0 - 1) - 2 + 2 - 2*d + 1 - 1 + d in the form m + c*d and give c.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.5*-4.302.\nAnswer: -27.963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-20)*1\/3)\/(246\/410)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50)\/10*(-13)\/(-13).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 4*y - 20. Let h = 58\/35 + 142\/35. Is y at least h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(40) - (sqrt(120)*-2 + sqrt(120))\/sqrt(3) - sqrt(40) - (sqrt(640) + (sqrt(640) - -2*sqrt(640))))\/((-5*(sqrt(96)*-1 - sqrt(96)))\/sqrt(12)))**2.\nAnswer: 45\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/284, 24, -10, 1\/4?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1352657630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -29*f - 2. Let a be (1 - 0) + 55\/(-11). Let m be y(a). Suppose -5*n + m = n. What is the remainder when n is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 462035?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**3 - z**2 - 11*z + 10. Let h be p(4). Let j = 89 - h. List the prime factors of j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 7:53 PM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 12 = -3*x - x, 20 = -5*x. Let o(z) = 4*z**2 + 2*z - 1. Let a be o(-5). Let n = s + a. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -1 - 4*n + 2 + 2*n**2 - 3 - n**2. Determine q(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**4 - 3*i**2 - i. Let t(m) = -m**4 - 55*m**3 + 7*m**2 - 6225*m. Let c(s) = b(s) + t(s). What is the second derivative of c(r) wrt r?\nAnswer: -24*r**2 - 330*r + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvvvvvvwv. Give prob of sequence vv.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 4*v**2 - v + 1. Let s(w) = -25*w**2 - 134*w - 6. Calculate 6*j(z) + s(z).\nAnswer: -z**2 - 140*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*x - 3*x + 10*x)*(-80 + 7*x - 2*x + 58) in the form j*x**2 + d + g*x and give j.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5401\/4 + -1350. What is the closest to -1 in 1.4, -0.7, p?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 - 14. What is the least common multiple of 2\/(-4)*-2 - -21 and m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6723 and 2268?\nAnswer: 188244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4216293?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q. Suppose 5*h = 5*l - 35, -2 = -2*l - 2*h + h. Suppose -3 = -l*d, 0*m + 15 = 3*m - 3*d. Let w(i) = m*i**2 - 20*i**2 + 7*i**2. Calculate y(w(j)).\nAnswer: -14*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 + 8 - 3)*(-k + 0*k + 2*k)*(k + 6*k - 3*k) to r + q*k + s*k**2 and give s.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 7, t: 4}. Give prob of picking 3 d.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -39216, -78447, -117700, -156981, -196296, -235651, -275052, -314505?\n\"Answer: -m**3 - 5*m**2 - 39209*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7248 is divided by 58.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 16052002.515 rounded to the nearest ten thousand?\nAnswer: 16050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-9)*0*5\/(-10). Solve 5*y - 5*a - 37 + 7 = d, 4*y - 22 = 3*a for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13356.63964 rounded to one decimal place?\nAnswer: -13356.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-4))**23*(u**3*u*u)\/u*u**(1\/3) assuming u is positive.\nAnswer: u**(-263\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -160, -205, -264, -343, -448, -585, -760?\n\"Answer: -t**3 - t**2 - 35*t - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -228815 and -0.135.\nAnswer: 30890.025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-64)\/(-4064)*(-1 - 2\/2). Which is smaller: 1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 1:19 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1\/2, 2, 3, 4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21\/905 + -2012\/905. Sort -4, o, -11 in decreasing order.\nAnswer: o, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-14)\/(-8))\/(5 + (-76)\/16). Suppose z*y = 50 + 34. Calculate the greatest common factor of y and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -5*m**3 - 19*m**2 + 22*m - 9. Let s(v) = 2*v**3 + 9*v**2 - 10*v + 4. Let g(i) = -7*s(i) - 3*z(i). What is g(3)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5627249 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 105\/33902042 and 28\/209?\nAnswer: 372922462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*6*(-2*sqrt(1100) + 2 + sqrt(1100) + 2*(1 + sqrt(1100)))*5.\nAnswer: -600*sqrt(11) - 240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11.2 + 0.2. Let k = r - -10. Let n = 0.3 + -0.2. Which is the nearest to k? (a) -3\/7 (b) 4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/3)\/(21\/1932*(-64)\/(-48))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -16 divided by -57\nAnswer: 16\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 72, 143, 226, 321?\n\"Answer: 6*f**2 + 53*f + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 4*j + 24, -3*j = 3*g - 2*g + 5. Suppose -m + 0*y = -2*y - 9, -6 = 2*y. Suppose -2*f + 2 = 5*n, m = -4*n + 5*f - 2. Solve n*x - 2*x = -g for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192133 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of o**6\/60 + o**3\/6 - o**2. Let q be l(-1). Is 6 a factor of 12*(((-2)\/2)\/q)\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/3)\/((-6)\/99). Let x(o) = a + 0 - 2 + 4*o - 8*o. Let y(s) = -4*s + 10. Let q(u) = -7*x(u) + 6*y(u). What is the first derivative of q(w) wrt w?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 387329 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -4*a**2. Let k(p) = -16*p**2. Let v(h) = -6*k(h) + 22*t(h). Let j(y) be the second derivative of -y**4\/6 + 15*y. Determine v(j(r)).\nAnswer: 32*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -80\/191?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70940039143*j - j**2 + 70940039143*j.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3+1977146974\nAnswer: 1977146971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v. Let n(a) = 3*a - 9. What is n(z(r))?\nAnswer: -3*r - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 take away 0.020914328?\nAnswer: 236.979085672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - 1 - (219 - 226) - -23?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 0*t - 3*t)*(9*t - 18*t + 33*t).\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**32\/r)\/((r*r**(-2\/53))\/r) assuming r is positive.\nAnswer: r**(1645\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 0.9, -93, -1.3, -3?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of -p**6\/10 - 9*p**5\/10 - 3*p**4 - 5*p**3 - 9*p**2\/2 - 24*p. Suppose r(i) = 0. Calculate i.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35636 less than 35654?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 170*d - 227*d + 112*d.\nAnswer: 55*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*y + 19*y + 78*y as f*y + s and give f.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 9, f: 7}. Give prob of sequence aaff.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 11. Suppose -3 = 4*l + 1. Let o be l\/(-3) - 22\/(-6). Sort o, k, 2.\nAnswer: k, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 5*l = 73 + 96, -4*l - 394 = -2*h. Let v be (27\/(-6))\/(2\/(-12)). Calculate the highest common factor of h and v.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-1*sqrt(315)*3)\/(sqrt(7) + 5*1*sqrt(7)))**2.\nAnswer: 45\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1081840 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -5*d. Suppose 0 = -5*l + 3*a + 77, -16 = 4*l - a - 72. Let n(x) = 21 - 34 + l - 21*x. Determine n(q(z)).\nAnswer: 105*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 274056 and 28848?\nAnswer: 548112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 64680\/22638*154\/10\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 2 = 2*w - 6, -w = 5*y - 7. Let k be (y\/(-4))\/((12\/8)\/(-3)). What is the highest common divisor of 2 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 21 = -0*x + 3*x, 0 = -3*f + 4*x - 7. Suppose 6 + 6 = -f*m. Which is the second biggest value? (a) m (b) -0.3 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -5*h - 47, 2*h - 28 = -k - 0*h. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x**3 + x**3 + 4*x**3.\nAnswer: 5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -224309, 2\/61, -1, 2.\nAnswer: -224309, -1, 2\/61, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -143, -324, -577?\nAnswer: -902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 120 - -3442?\nAnswer: 4112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - 3 + 3)*(17 + 9 - 3)*(-4 + 4 + 2*n - 2).\nAnswer: 92*n**2 - 92*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 503 + 0.11\nAnswer: 503.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, i: 2, f: 1, b: 2, s: 3, p: 2}. What is prob of picking 1 i and 1 s?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153 = -399*l + 390*l. Solve -7 - l = -12*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 12:51 AM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 7*j = 3. Let r(h) = h**2 - 1. Let n be r(3). Let l be 3\/(-4) - (-6)\/n. Which is the smallest value? (a) j (b) 5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 c when three letters picked without replacement from {i: 3, o: 1, d: 2, u: 1, c: 3, a: 3}.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - (11 + 4)) + 7 + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**3 - 4*f**3 + f**3 + f**3 - f**2 + f**2 + 0*f**3 + f**3 - 2*f**3 + (-3 - 4 + 5)*(2*f**3 + 0*f**3 + 0*f**3) - f**3 - f + f - 2*f**3 + 4*f**3 - 4*f**3.\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 407?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2215264 nanometers to meters.\nAnswer: 0.0000000002215264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 12:10 AM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 12924254, 12924252, 12924248, 12924242, 12924234, 12924224?\n\"Answer: -t**2 + t + 12924254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1690*a**2 - 86558*a**2 - 5301*a**2 - 105003*a**2.\nAnswer: -195172*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of 0 - 1\/120*l**6 + 0*l - 4*l**2 + 1\/60*l**5 + 5*l**3 + 0*l**4. Is x(0) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 6:08 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1*25810.8\nAnswer: -25810.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*r**3\/3 + 164*r**2\/3 + 136*r\/3 - 44\/3 = 0. Calculate r.\nAnswer: -1, 1\/4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 484 divide 92804580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 73 = -61. What is the least common multiple of 1\/((42\/119)\/x) and 40?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from {z: 1, e: 9, c: 4}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, -35 in decreasing order.\nAnswer: 5, -2, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -18990356, -18990364, -18990372?\n\"Answer: -8*d - 18990348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 - -7 - 4966\/(-2600)*12?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 7. Let b = 443 + -199. Let v be b\/(-20) - f\/10. Let g(u) = 16*u**3 + 12*u**2 + 12*u - 12. Let x(y) = -y**3 - y**2 - y + 1. Give v*x(h) - g(h).\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1426 (base 16) to base 9\nAnswer: 7061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 4*r + 31. What is f(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -10*j + 318. Let p be c(33). Let i(k) = -599*k - 55. Is i(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33539 + -19120. List the prime factors of t.\nAnswer: 14419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of t**8\/168 + t**4\/12 - 2*t**2 + 4*t. Let o(s) be the first derivative of n(s). Find the second derivative of o(r) wrt r.\nAnswer: 40*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13577 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 768?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 298*u + 12. Suppose 7*x + 0*x = 42. Let o be m(x). Suppose -k = -3*k - o. What is k rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*s**3 - s**3 - 3*s**3 + (-1 - 3 + 3)*(303 + 45*s**3 - 303) + 5*s**3 + 0*s**3 - 2*s**3 as h*s**3 + i*s + j + y*s**2 and give h.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 3 - 5 + 8 - 531*y**3 + 9*y**3 to i*y + h*y**3 + f*y**2 + a and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -5*q**2 + 13*q - 4. What is p(5)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of 5*h**3\/6 + 3*h**2 + 11*h. Suppose 0 = -2*c - 3 - 3. Let z(o) = -2*o - 2. Determine c*l(i) - 8*z(i).\nAnswer: i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-605)\/(-22)*48\/(-680) - (-2)\/1\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirteen fifths of a millennium?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15077?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (9 - 6) + -1*5. Let y be ((-18)\/1 - -2)\/a. Suppose -i = -4 + y. Put i, 4, -2 in increasing order.\nAnswer: i, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000068861 to 7 dps.\nAnswer: 0.0000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x**3 - 2*x**2 + x - 1. Let s be w(-2). Suppose 40 = -s*j - 0*j. Does 6 divide 174\/8 - j\/32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8823, -35398, -79689, -141696, -221419?\nAnswer: -318858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8) - sqrt(80)\/(sqrt(40)\/sqrt(4)))**2*-2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/4)\/(-2*15\/(-1800)). Calculate the highest common divisor of k and 41130.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1013636 (base 9) in base 14?\nAnswer: 1010a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-16) + 78\/(-24). Let b = 6 - 10. Put b, j, -1 in increasing order.\nAnswer: b, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 19*u**2 + 123820*u - 123820*u + 4*u**3 in the form d + p*u**2 + t*u**3 + i*u and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/15 + (6\/(-45))\/1. Let p(l) = -l**2 - 11*l + 211. What is the units digit of p(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296560383 to the power of 1\/2, to the nearest integer?\nAnswer: 17221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f - 13*f = -95. Sort 2, 10, f, 1.\nAnswer: 1, 2, f, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 8 = 172. Let w be (2 + -3)\/(((-35)\/s)\/7). What are the prime factors of (-5)\/(w + -2)*20\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1152\/416)\/18*-169?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 411135 is divided by 704.\nAnswer: 703","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 3, 5\/3, -4\/5, -2.53, -96?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -166 - -828\/5. Which is bigger: i or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/12 + (-2 + 9 + -6)\/(-1). Sort l, 0.09, -5, -1, 2\/5 in descending order.\nAnswer: 2\/5, 0.09, l, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-92)\/(-46)*5\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/11 (b) -38 (c) -3\/7 (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -2, 7, -7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 189 and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27807202 and 925.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and -3.79527238635.\nAnswer: 1.20472761365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((-1*sqrt(228)*6)\/(2*1*sqrt(12)) - (0 + 2*sqrt(475)*-5)))**2.\nAnswer: 282*sqrt(19) + 41980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, r: 1, i: 1, b: 5}. Give prob of picking 1 v, 2 b, and 1 i.\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -277 + 142. Let q = 2803.7 - 2945. Let d = y - q. Round d to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.7116*25231\nAnswer: -17954.3796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 539\/12 - 53\/12. Find the common denominator of u and -13\/31.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -737 + 1?\nAnswer: -736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-1 + sqrt(1300)))**2 - (sqrt(130) - (sqrt(130) + 1*sqrt(130))*-1 - sqrt(130))\/sqrt(10).\nAnswer: -322*sqrt(13) + 20816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.171 - -85499.1.\nAnswer: 85499.271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2757 and 85557981.\nAnswer: 2757","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c**5 - 2066*c**4 - 2*c**3 + 2*c**2 - 126671 wrt c.\nAnswer: 120*c**2 - 49584*c - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20319 is divided by 10132?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 56307272*f**3\/3 + 281133104*f**2\/3 - 2015558*f\/3 + 3610\/3 = 0.\nAnswer: -5, 19\/5306","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 170308496?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*j + w, 5*j - w - 12 = -2*w. Suppose 0 = -2*r + 21 - 27. Sort r, 5, j, -17.\nAnswer: -17, r, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -71 - -122. Let b = s + -17. Let x = -20 - -38. Calculate the remainder when b is divided by x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 6, t: 6, m: 3}. What is prob of picking 1 t and 1 m?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0152908 to 4 decimal places.\nAnswer: -0.0153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 199527 is divided by 681.\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*y + 48*y = -34 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 91154, 91156, 91158?\nAnswer: 91160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.2 times -10?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 93 + -132. Let f = o - -78. Let n = f - 15. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8320 is divided by 8143?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 299*b**2 - 3*b + 3. What is the hundreds digit of v(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 4469980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -13*m**5 - 12*m**4 + m**3 + 26*m**2 - 22*m + 5. Let y(f) = -15*f**5 - 12*f**4 + 24*f**2 - 21*f + 6. Let j(g) = 6*w(g) - 5*y(g). Factor j(o).\nAnswer: -3*o*(o - 1)**2*(o + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14030 is divided by 1133?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of s**3 + 145*s**2\/2 - 3*s + 32. List the prime factors of m(-14).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 595*z - 266*z - 7*z**3 - 329*z.\nAnswer: -7*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/8 of a millennium?\nAnswer: 19500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-1*sqrt(10) + sqrt(10) + sqrt(30)\/sqrt(3)*-4)\/((sqrt(60)\/sqrt(2))\/sqrt(6) + (-1*sqrt(60) + sqrt(60))\/sqrt(12)).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 1. Let c = 2 + -8\/5. What is the smallest value in c, d, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3210002, -3210004, -3210008, -3210014?\nAnswer: -3210022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 4*j + 3*g = -2*j - 13, -5*g = 83*j - 337 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16.2 + 16. Let v = 0.63 + 0.07. Let j = -3.7 + v. Which is the closest to 0.4? (a) j (b) 0 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 - 5*o**2 + 616*o + 5795. Give q(-10).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 9:56 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 12465\/1220 - (-2 + 143\/44).\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 45323500 + 4?\nAnswer: 45323504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4520027661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a - -2bd?\nAnswer: 2b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63 is divided by 34.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (0 - 2 - -5) - (-534 + 510)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (1 - 1 - (-92 - -102)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54611*t + 12 = 54595*t - 4*n, n = -5*t - 7 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5693?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 PM and 9:51 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1192*i + i**3 - 129 + 129.\nAnswer: i**3 - 1192*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 10*j + 11*j - 3214 = 0, q + 3*j = 1612. Suppose q = 9*d - 1184. Calculate the remainder when d is divided by 79.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 AM and 10:52 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -4*c**3\/5 + 21148*c**2\/5 - 63416*c\/5 + 42272\/5 = 0.\nAnswer: 1, 2, 5284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 45661 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/101)\/(g**(1\/5)\/g))\/(g*g*(g\/(((g*g**(-1\/5))\/g)\/g))\/g*g*g**(-33)))**(2\/19) assuming g is positive.\nAnswer: g**(29916\/9595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - 4*j - j)*(-7 + 12 - 33)*(-2*j**3 + 3*j**3 - 2*j**3).\nAnswer: -56*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*j**3*u + 5*j**2*u + 2*u - 549 wrt j.\nAnswer: -9*j**2*u + 10*j*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2387*u = -2342*u - 19 - 116 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/2 at least -218659?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (49 + -24 - 23) + -6 + -82 + 5?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 792\/(-4293) - (-4)\/18. Which is bigger: -1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -329207295 <= -329207294?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m**2 + 10*m + 20. Let n be x(-2). Suppose 5*j = 2*a - 1574, 0 = 4*a - 3*j + n*j - 3118. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 128 + -128.19. What is the closest to -1 in -3\/5, r, -2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 557726 a multiple of 494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/6)\/((-1)\/(-8)). Suppose -l - h*l - 25 = 0. Sort 2, -3, l.\nAnswer: l, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95617?\nAnswer: 95617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6506 - 13430?\nAnswer: -4722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1\/3, 91, 0.11?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1054*n**2 - 3172*n**2 + 1063*n**2 + 1081*n**2.\nAnswer: 26*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9001 - -3482. What is the ten thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oooi when four letters picked without replacement from oiioimiom.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7491351 times -0.5?\nAnswer: 0.37456755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/17)*t)**(-1) assuming t is positive.\nAnswer: t**(-15\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 52 + -17. Let s = -35.4 + r. Let g = -0.044 - 0.056. What is the nearest to 0 in s, -1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of -7*i**6\/10 - i**5\/4 + 60*i**2 - 13*i. Find the first derivative of v(y) wrt y.\nAnswer: -84*y**3 - 15*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25914 is divided by 30?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -12 + 20 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 5*b - 10 - 11, 3*b - 9 = -3*g. Let k(m) = -113*m - 12. Let v(i) = -113*i - 13. Let t(r) = g*v(r) - 5*k(r). Is t(13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**2 + w**2 - 6*w**2 + (-3*w + 4*w + w)*(2 - 2 - w) + 0*w**2 - w**2 + 0*w**2 + w**2 + 9*w**2 + 0*w**2 - 9*w**2 - 42*w**2 + 26*w**2.\nAnswer: -23*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrvb when four letters picked without replacement from {b: 3, r: 2, v: 6, a: 1, p: 2}?\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 46 = 6. What is the derivative of g*a - 55*a + 20*a - 16 wrt a?\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2211130 (base 5) in base 11?\nAnswer: 2684a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away -18.72662?\nAnswer: 17.72662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 14 = -w + 2*r, r + 53 = -5*w. Let a(b) be the second derivative of b**3\/6 + 4*b**2 + 877*b. Determine a(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -83 + 2*t**2 - 333*t + 339*t + 43 in the form g + m*t**2 + x*t and give g.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 88250 to the nearest 1000.\nAnswer: 88000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1101110110110110000 (base 2) to base 14\nAnswer: bb692","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.0541, -0.12, 13822, 0.5?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -4*h - 35. Let g be s(-11). Which is smaller: g or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -372442 (base 8) to base 16\nAnswer: -1f522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhjj when four letters picked without replacement from hjjhhhhh.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (38 - k**2 - 38)*(k + 1899 - 1573 - 1091) to d*k + f*k**3 + j + x*k**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 7*f + 25. Let v = 1 + 1. Suppose -2*x - k + 10 = -5*k, -v*x - 3*k = -10. Is f <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyy when three letters picked without replacement from ybbbbybbyybbbbbbybbb?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + 3 - (-98256)\/(-480). Let i(m) = -40*m - 3. Let y be i(5). Let w = q - y. Which is bigger: w or -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 452 + -434 + -2 + -30\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - k - k = -2, 3*m = -k + 8. Solve 3*i - 9 = -5*a, m*i + 3*a = -a + 6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 73, 220, 621, 1402, 2689, 4608, 7285?\n\"Answer: 21*o**3 + o**2 - 3*o + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 - 77*b - 376. Suppose -4*a - 12*a + 1584 = 0. What is the remainder when a is divided by k(-6)?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 - t**2 - 16680*t + 50021. Determine i(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v + 1. Let r(s) = -12*s**3 + 8*s + 8. Let i be (-2 + -5 + (2 - -9))\/4. What is i*r(j) - 8*g(j)?\nAnswer: -12*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 76 = q, r + 5*q - 25 = -r. Let z = 549 - 175. Let b = z + -209. What is the greatest common divisor of b and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 938 * 4495\nAnswer: 4216310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1234?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -573 + 573 + 709*s.\nAnswer: 709*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*((-5)\/(-2) - 1)*(-140)\/(-42). Solve -c - 8 = -k*d, 7*c = 9*c - d + 7 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-6)\/h*h*h**2*h)\/((h\/(h**18*h))\/(h\/h**(-2\/75))) assuming h is positive.\nAnswer: h**(1277\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 0 - 21*v + 7 + 17*v + 12. Let d be g(4). Suppose -3*l - 24 = l. Which is smaller: l or d?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7385033 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/(-5))\/(12\/(-40)). Suppose -j*z + 0*z = -8. Suppose -4*q + 6 = -z*q. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n**5 - 3*n + 2*n - 6*n**3 + 4*n**4 - 6*n**2 + 4*n + 3 - n**4 = 0. Calculate n.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4549 is divided by 500.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/8 + (21\/(-2) + -1)\/(1047\/(-698))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 3 = -y, -5*s - 2*y + 7 = -5*y for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -297*d**3 - 2047*d**2\/3 - 536*d\/3 - 4 = 0?\nAnswer: -2, -3\/11, -2\/81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -94.\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x**2 + 5*x**2 - 4*x**2 + 5*x**2 - 6 + 6 + (4*x - 2*x - x)*(-3*x + 2*x - x) + 0*x**2 + 3*x**2 - 2*x**2.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 102 + -65. Suppose n - 3 = v. Does 20 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 244 and 185420846?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 3*j - 19 = 4*d, -d + 3*j - 11 = 0. Solve -9 = 3*w + d*g, 6*w - 3*w + 9 = g for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*t + 11*t + 13*t - 6 - 1 + 3.\nAnswer: -10*t - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -34181 and -9.4.\nAnswer: 321301.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z + 1. Let j be t(-2). Suppose 5*c + 2 = -4*q - 5, 2*q - j*c - 13 = 0. Let n be 1\/(2\/16) - 2. Calculate the highest common divisor of q and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 16728 = 3*k, 2*x - 5685 = 5*k + 2679. What are the prime factors of x?\nAnswer: 2, 3, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9617, 19234, 28849, 38462, 48073, 57682, 67289?\nAnswer: 76894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32 + -32. Suppose -1 - 1 = r, 4*r = 5*k - 33. Suppose n = 3, -f + 3*f - k*n + 13 = p. Solve 5*i + 3*j = f - 19, 2*j + 14 = -4*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40 + -39. What is the common denominator of (6 - 5)*(-9)\/(-2) and n - (-52)\/(-72) - 0?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.2 + 2. Let y = -1.17 - -1.07. Which is the closest to y? (a) 0.3 (b) o (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**3\/2 + 84*t**2 + 8541*t\/2 + 58619 = 0.\nAnswer: -73, -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 + 0 + (-105 - -128) + 58?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36 + -56. Let t = -29 - y. Is 6 a factor of 9\/t*(-10 + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 + -123.1. Let a = 26 + w. Let s = a + 96.93. What is s rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38 and 4826?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 170300 to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) + 3*2*sqrt(132) + sqrt(132) - sqrt(132))\/(sqrt(400) + sqrt(400)*-1 + sqrt(400)))\/((sqrt(135)\/(-2*sqrt(5)))\/(2*sqrt(729))).\nAnswer: -126*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.058 + -1.158. Let i = 52.9 - 53. Let k = 6\/7 - 11\/21. Which is the nearest to i? (a) t (b) -1 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -208*c = 7045 + 14587 for c.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 84643845 to the power of 1\/3, to the nearest integer?\nAnswer: 439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 2. Let q = -2 - -1. Let w = m - q. Is 0 not equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = d + 306, 6*d - 10*d + 765 = 5*k. Calculate the greatest common factor of 119 and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 80650773?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 22465217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -560*h + 278029. Is x(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -687*t**3 - 112 + 133 + 138*t**3 to d + i*t**3 + r*t**2 + k*t and give i.\nAnswer: -549","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1067*s + 6 = 1041*s - t - 100, -4*s - 18 = t for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -3, 1\/22, -435?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 13. Let w(d) = -d**2 - 8*d + 3. Suppose -r - 19 = -3*t - 0*t, 0 = -r - 1. Let y(n) = -n**2 - 9*n + 4. Let x(s) = q*y(s) + t*w(s). Solve x(k) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 5 = -5*g, -4*x + 5*g = -x - 75. Calculate the common denominator of (7\/(-8) + 3)\/((-39)\/x) and -131\/72.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 20. What is the remainder when 1*3\/(-9)*-117 is divided by y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7336\/1205 less than or equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 2*j**3\/9 + 21660*j**2 + 129958*j\/3 + 194936\/9 = 0?\nAnswer: -97468, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilogram in milligrams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1255*h*q**3 - 4*h*q**2 + 1148*h*q + 2*h - 2*q**3 + q + 2 wrt q?\nAnswer: -7530*h*q - 8*h - 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/2, -3\/2, 15, -2, 5\/3, 3313?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/(-12)*(-2)\/10. Let r(h) = h + 3. Let n be r(0). Let m be -3 - (3\/30 - n). Which is the third biggest value? (a) -0.3 (b) m (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24794 and 770.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + 9*y**2 - 13*y + 13. Let f(l) = -2*l**3 - 19*l**2 + 28*l - 24. Determine 6*f(n) + 13*j(n).\nAnswer: n**3 + 3*n**2 - n + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 7:02 AM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -3*z - 558, 0 = -4*z - 3*f - 624 - 107. Let l = 35 - z. Is 18 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/(-80) - 1\/(-3 + (-3808)\/(-1256))\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17? (a) 0.2 (b) 47 (c) -494\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) - sqrt(104)*-1)\/sqrt(8) + -2 + 0 + 1*sqrt(1300).\nAnswer: -2 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-2)\/c**7*(c*c*c*((c\/(c\/(c**(-3)*c)))\/c*c)\/c*c)\/((c*c*c*c**(-1\/4)*c)\/c) assuming c is positive.\nAnswer: c**(-43\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.05322 - -10.94678. Which is the fourth smallest value? (a) 1.3 (b) g (c) -5 (d) -1\/8 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**3)**(-15\/4))**(-10) assuming y is positive.\nAnswer: y**(225\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/4*(-24)\/18\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/4 + (-28)\/(-8). Suppose 3*p + c*n + 6 = 30, 0 = -5*p + 5*n + 10. Suppose y - 60 = -p*y. Is y a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 96377146?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - ((-10 - -8) + -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - -1)*(-4 + -6 - -5). Let w be (-119)\/28 + 2\/8. Put -3, l, w in ascending order.\nAnswer: l, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1788449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most 105\/17447?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3930 - -39209\/10. Calculate the common denominator of (-102)\/21*(-49)\/24 and v.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 35*s + 1474. Determine k(-47).\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 + 2*n**2 + n + 13. Give y(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3351.\nAnswer: 3, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*s + 346321 = -81059. What is s rounded to the nearest one hundred?\nAnswer: 12600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 4, -5 in decreasing order.\nAnswer: 9, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8962414 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8396 to the power of 1\/2, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/52570 and 33\/7910.\nAnswer: 5940410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -94.79 - -1.79. Let u = 93.00000256 + j. Round u to 7 dps.\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2018?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*l + 17 = 2704 + 988 for l.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/(5*1\/(-5)). Let n(s) = 465*s**2 + s - 1. Let y be n(3). Suppose -w - 2*w - 4199 = -5*v, -k*v + y = w. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -163, -347, -531?\nAnswer: -715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5243\/52410 - 1\/26205. Which is the nearest to 0? (a) 0.07 (b) f (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, t: 5, n: 1, g: 7}. What is prob of picking 1 n and 1 w?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 4*v**2. Let w = 281 - 270. Let q = 7 - 5. Let b(x) = 0*x**q - 1 + 1 + w*x**2. Determine b(d(r)).\nAnswer: 176*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5 (b) 4 (c) 3\/4 (d) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 62*f**3 - 159?\nAnswer: 186*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 6, s: 2}. Give prob of picking 3 i.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23566.1 - -23566. Let w = 0.05 + -6.05. Let u = w - -1. Sort u, 4, c, 2\/9 in descending order.\nAnswer: 4, 2\/9, c, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 745 = -23*t + 8381. Does 14 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of 1\/12*q**4 + 0 - 7\/6*q**3 + 2*q**2 - q. Let n = -1 - -6. What is c(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 282537?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -5. Let q = -377 + 382. Sort q, v, 0, -4 in ascending order.\nAnswer: -4, 0, v, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3333330*r**2 + 8*r**3 - 3333330*r**2.\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -1. Let y(u) = -2*u + 1. Let o(b) = -6*f(b) - y(b). Let c(h) = 84*h - 313*h + 81*h + 63*h + 2 + 86*h. Let d = 65 - 57. Calculate d*c(i) - 3*o(i).\nAnswer: 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*v - 2 + 2*v + 8*v + 98 + 4*v in the form w*v + b and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3 and 24.1?\nAnswer: 27.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (7 + -2)*(-9926)\/(-35). Suppose 12*z - s = 46. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -6*b + 142472, -5*b - 30557 = -2*y + 40711. What are the prime factors of y?\nAnswer: 2, 61, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 - 7*q. Let i(z) = z - 28. Let x be i(23). Calculate the lowest common multiple of a(x) and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4435327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 1:26 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2702911255?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 + -13. Suppose -4*t + 9*t - 32 = -4*m, w*t + 4*m = 24. Solve 10 = t*k - 2 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157*z - 283*z - 7*z**2 + 126*z.\nAnswer: -7*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7290 + 7300. Calculate the remainder when 9819 is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 PM and 3:52 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3136.16 + -3136.6. Put w, -33, -5 in descending order.\nAnswer: w, -5, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 11*k**2 + 35*k + 108. Let q be b(-11). Suppose -o - 2*u - q = -3*o, -3*u - 1051 = -2*o. What is the greatest common factor of 10 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4\/15 - 2\/5. Sort -5, b, -0.3 in descending order.\nAnswer: -0.3, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 568 - 565. Let z(b) be the first derivative of -b**2\/2 + 4*b - 9. What is z(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 0 - i**2 + 0. Let l = -84 + 126. Let d(h) = 21*h - l*h + 20*h. Calculate d(s(b)).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22273071?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*h + 4*a, 0 = 5*h + 2*a + 2*a - 20. Suppose 5*i = 3*l + 12, 2*i - 6 - 4 = -h*l. Let t be -4*(i\/(-6))\/1. Solve t = j + 6 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*h - 171*h + 100*h - 4510 = 274*h for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -970.26 and 13.\nAnswer: -957.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4752)\/132*3\/(-63)*1?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178060707.\nAnswer: 3, 11, 79, 7589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -241888, -967610, -2177144, -3870490, -6047648?\nAnswer: -8708618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3*(sqrt(11)*-1)**2 - sqrt(11) - (1 + -2 + sqrt(11))**2).\nAnswer: -3*sqrt(11) + 135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by 80.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/2804592 and 125\/2604.\nAnswer: 86942352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, -2\/3, -4, -5\/3, 0.5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 0 + 136*g + 517*g.\nAnswer: 653*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 45442240 less than -0.24?\nAnswer: -45442240.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 761 = 10*f - 6*f + q, 2*q = -4*f + 766. Is 1\/2 > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -430610775 by 133.\nAnswer: -3237675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 415 smaller than 416?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + 1)\/(3\/(21\/14)). Solve 0 = a + 3*v - 8, -a - 6 = -s*v - 4*v for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, z: 1, k: 1, b: 1}. What is prob of sequence bz?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4*m + 1642 = -313, 0 = -3*o + 4*m + 5817. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -13. Calculate the common denominator of -61\/3 and 33*((-5)\/g - -3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.9, -0.4, -1\/4, -4, 153 in increasing order.\nAnswer: -4, -0.4, -1\/4, 0.9, 153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 169\/(15886\/(-282))*(-8)\/2?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - -6 - (-1 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -896 by 2.\nAnswer: -448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 217840 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: Sort 197, 5, 5930, 0 in increasing order.\nAnswer: 0, 5, 197, 5930","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -78? (a) 3 (b) 0 (c) -23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*(40\/(-32))\/(6\/(-8)). Let v(h) be the second derivative of y*h + 4*h**2 + 0 - 7\/6*h**3. Differentiate v(r) with respect to r.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 10 = 0, 0*i - 5*i + 4*c + 282 = 0. Suppose 14 = -5*x + b - 60, -3*b = 5*x + i. Let d = x + 32. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) 0.4 (b) 30 (c) -4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 5, 10, 4\/9, -7, 26.3, 0?\nAnswer: 26.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 3)*(-k - k - 2*k)*(202 + 189 + 69 + 496).\nAnswer: -3824*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1727?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 + -15. Let d = 0 + o. Solve -2*s - d*s - 20 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 49567571 to the nearest integer?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, r: 1, m: 2, v: 6, w: 3}. What is prob of sequence vvvw?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 270063?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 154561 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -95*a + 94*a + 21. Let d(z) = -27*z**2 + a*z**2 + 5*z - 11 - 10 - 4*z. Let g(p) = p**2 + 4. Calculate 2*d(l) + 11*g(l).\nAnswer: -l**2 + 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 874193 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 - 4*o**3 + 19 + o**3 - 4*o + 6*o**3 - o**2 to x*o**2 + g*o**3 + v*o + m and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39109 - -63357. What are the prime factors of w?\nAnswer: 2, 7, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3849113 or -3849092?\nAnswer: -3849092","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -26, 68, 2.\nAnswer: -26, 2, 3, 5, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a meter in centimeters?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 83952 and 1908.\nAnswer: 83952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1130 (base 4) to base 10\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - 17*l - 51. Let z be n(17). Let t = 465 + z. What are the prime factors of t?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.2 (b) 62 (c) -4\/3 (d) -40\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7651696 or -7651699?\nAnswer: -7651699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001100010 - -1010110?\nAnswer: 10010111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 35 (b) 2\/7 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 52884677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r + 1. Let q be p(-1). Suppose q*s = -2*s + 16. Solve 0 = -j - 0*j + s*n - 13, 0 = 2*j - 2*n + 14 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minus -52985974?\nAnswer: 52986018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -51.58474341 + 14.584743. Let g = x + 37. What is g rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 207 and 276?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, t: 1, u: 1, b: 1, x: 2, f: 1}. What is prob of sequence wx?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111 + -11122201222202?\nAnswer: -11122202000020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*i + 5 - i - i + 31*i**2 + 4*i.\nAnswer: 31*i**2 - 12*i + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -u + 1099, 0 = -6*c + c + 5. List the prime factors of u.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 13, w: 1, b: 2, e: 3, j: 1}. What is prob of sequence jwe?\nAnswer: 1\/2280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 469 a factor of 102790261?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 475995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (28 - 16 + 12)*(-8*s**4 - 17*s**2 + 17*s**2) as x*s**2 + i*s + v*s**4 + h + u*s**3 and give v.\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-250)\/(-80))\/(10\/24)*6. Calculate the highest common factor of i and 615.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3298 to the power of 1\/2, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -5*o**3 - 5*o**2 - 2*o**3 + 4*o**3 + 3*o - 1 + 0*o**2. Suppose 0 = 33*q - 28*q - 100. Calculate the remainder when c(-4) is divided by q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3*z**4 - 3)*(-7*z + 3*z + 2*z) + z**3 + 586*z - 2*z**5 - 582*z + 2 + z**2 + 0*z**2.\nAnswer: 4*z**5 + z**3 + z**2 + 4*z + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 - 4*m**2 - 5*m + 3. Suppose -83*s - 22*s = 420. Determine t(s).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1024 + 1030. Let l be (-10)\/(-6) + (-2)\/(-6). Solve l*z - d - x = 6*z, 4*d + 13 = -5*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g = -2*t - 5*g + 32, -4*t - g = -36. Suppose b - t = -b. Let p = 0.03 + 0.37. What is the second biggest value in p, -2, b?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -17*v - 1 + 2 - 1. Is b(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5485581011 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 58\/5, 15.3632, 0.5 in increasing order.\nAnswer: 0.5, 58\/5, 15.3632","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -14*t + 6. Is r(-3) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -10*i + 121. Let d(a) = a. Let z(f) = 5*d(f) + l(f). Let k be z(22). Solve -4 = -5*x + k for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 6:51 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 401 = 3336. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211122221 (base 5) in base 14?\nAnswer: 18c82a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 370 = 65*l - 60*l. Suppose -3*b = -5*h - 232, -b + 3*b + 2*h = 144. Are b and l nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ga when two letters picked without replacement from wcfaacwggakg.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 164888936 and 583?\nAnswer: 1813778296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oqotqqq. What is prob of picking 1 o, 1 q, and 1 t?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 4*k - 4*q, -10 = 3*k - 44*q + 56*q + 29 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*w - 89*w = -20. Solve -k + w*t = -8, 7 = 5*k - t - 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001477976423 to 7 dps.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - 6*l - 8. Suppose 0 = 2*v + 2*g - 2, 2*g - 5 = v - 4*v. Suppose -2*p - 11 + v = 0. Let i be f(p). Solve i*x - 4*x = -20 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 458555563, 458555562, 458555561, 458555560, 458555559?\n\"Answer: -p + 458555564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/4 of a kilometer in meters?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 234.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -10219833, -20439662, -30659493, -40879332, -51099185, -61319058?\n\"Answer: -g**3 + 5*g**2 - 10219837*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -74*a**2 - 9. Let k(i) = i**2 + 2. Determine -5*k(g) - x(g).\nAnswer: 69*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -70*c**4*l**2 - c**3*l - 40*c**3 - 7544*c*l**2 wrt c?\nAnswer: -840*c**2*l**2 - 6*c*l - 240*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 5*b**3 - b**2 + 7*b - 82. Let l be 27\/(-2) - (-3)\/6. Let t(x) = 11*x**3 - 2*x**2 + 15*x - 164. Let v(q) = l*c(q) + 6*t(q). Is v(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39137225 a multiple of 148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, l: 8, u: 3, x: 2, i: 5}. Give prob of sequence ju.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*r, -2*p = -4*r - 28 - 56. Does 6 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.03 and -855.92.\nAnswer: -25.6776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 3*f + 33, -36*t + 80 = -31*t + 4*f. Suppose 80 = 34*g + t. Solve 10 = 4*b + 5*w, 2*w - g = -3*b + 2 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 3 = 5*n + 15, r = -4*n - 21. Let v(g) = 6 + 9*g**2 + 0 + 4 - 34 + 7. Is v(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 55 in 0.09, 1\/5, 0.12, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -5*k**3 - 45*k**2 - 55*k - 15. Let d(s) = s + 1. Let q(j) = -15*d(j) - m(j). Factor q(p).\nAnswer: 5*p*(p + 1)*(p + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -138 divided by 6?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 + 14*m**2 + 7*m + 100. Let a be b(-14). Let u be 15\/4 - (-1)\/4. Find the second derivative of 2*j**a - u*j**2 + 5*j**2 - 9*j + 2*j wrt j.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9677 + 9688. Let o(a) = 5*a - 21. Let m(f) = 15*f - 36 + 6 - 33. Let d(b) = u*o(b) - 4*m(b). What is the derivative of d(i) wrt i?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36530 - -36516 - (39 - (0 + 1 + 1))?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*(36\/20 + 12\/(-15)). Solve g*z + 0*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*w + 2*w - 3*w - 7*w + 16*w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*c + 4*l - 10 = -18*c, 2*c + 5*l = 24 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -497 + 505. Let j be (v\/6)\/((-41)\/(-1968)). Calculate the greatest common factor of 160 and j.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.191 + 0.191. Which is the fourth smallest value? (a) -0.2 (b) 3 (c) u (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11721201823 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(-2) - (-6)\/1. Let o be f*(-2)\/(-2)*-1. Let k be 2\/o*(-2 - 7). Solve 4 = k*r + r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**4 - q - q**2 - 3 - 2*q**2 - 13 + 4 + 7*q**2 to g*q**4 + z*q**3 + y + j*q**2 + h*q and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9479609 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000167 to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 6. Let f be (-2)\/4*d + -120. What is f rounded to the nearest 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.23 + 0.33. Let o be -1*3*(-4)\/(-6). Which is the second smallest value? (a) -4\/7 (b) j (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**1*d*d*d)**17)**(-16)\/((d**0*d**(-2\/33))\/(d**0)**(-4\/11)) assuming d is positive.\nAnswer: d**(-44878\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - f + 8 = 3*k, 5*f - 3*k = 22. Let i(v) = v**2 - 8*v + 17. Let y be i(f). Let t(x) = -x**2 - 2*x + 3. Calculate t(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -5*l - 9. Let w(q) be the first derivative of q**2\/2 + 2*q - 1. Let a be (-6 + (-63)\/(-14))*(-48)\/(-18). Give a*d(h) - 18*w(h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/3 (b) -5\/2 (c) 45.75\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -26560.9367\nAnswer: -7968.28101","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -101052452 (base 6) in base 9?\nAnswer: -3231645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {r: 1, d: 4, l: 4, y: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1184932, 1184889, 1184846?\nAnswer: 1184803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45\/62)\/(20010\/103385).\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 33\/(-2) - (-2)\/(-4). Let o = f + 32. Does 5 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/9)\/((-10)\/(-15)). What is the second biggest value in 3\/5, -5, u?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1092.2905+-1\nAnswer: -1093.2905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 198 divide 505644683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -159 - -155. Let r(u) = u + u + 3*u + 9 - 4*u. Give r(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 260551, 2084381, 7034789, 16675063, 32568491, 56278361?\n\"Answer: 260548*a**3 + a**2 - 9*a + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6 + (-2)\/4*0. Let b be (4\/3)\/(i\/(-18)). Let x be (-7)\/(-1) - (5 - 2). Put x, -1, b in descending order.\nAnswer: x, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-147)\/98)\/((1\/(-10))\/(10\/(100\/(-18))))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is s in s**2\/7 + 614*s - 8600\/7 = 0?\nAnswer: -4300, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 193\/(-386) + (-4)\/(-6).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 4*t**2 - t**2 - 2*t**2. Let b(o) = o + 1 + 10*o**2 - o**2 - 2*o**2. Suppose -50 = -4*c - 6*c. Give c*k(i) - b(i).\nAnswer: -2*i**2 - i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 x when two letters picked without replacement from {x: 3, t: 11}?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u + 9 = 5*z, 627*u - 215*u - 208*u = -2*z + 209*u - 26 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2062 + 2065)*(180\/(-176) - (-6)\/8).\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 113?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 4*k**3 + 57*k**2 - 67*k - 19. Determine r(-17).\nAnswer: -2059","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1059 (b) -278 (c) -4 (d) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101100 + -10001110?\nAnswer: -100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 4*y = 2. Let z(o) = 7*o + 5. Let q(p) = p + 1. Let n(s) = 6*q(s) - z(s). Give n(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4341966 at most as big as -4341928?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 9. Let n(q) be the second derivative of q**5\/5 - 5*q**4\/12 - q**3\/6 + 6*q**2 + q - 120. What is the hundreds digit of n(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6324 + 6319. Put -1\/4, 4, 2\/115, m in descending order.\nAnswer: 4, 2\/115, -1\/4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -11*z**2 - 9*z + 37. Let i(h) = -1. Let x(p) = -3*i(p) - l(p). What is the units digit of x(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 942 is divided by 26?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13165 = 4*i - 5*t, 0 = 4*i - 3*t - 0*t - 13163. Let j = 1541 + -1538. Suppose 0 = j*b + 923 - i. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 + v**2 + 7*v + 388. What is w(0)?\nAnswer: 388","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(k\/(k*k**(-6))*k)\/k*k*(k\/k**(2\/5)*k*k)\/k*k\/(k*k*k**(-3)*k)*(k*k**(-1))\/k)**18 assuming k is positive.\nAnswer: k**(864\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 910, 908, 906, 904?\nAnswer: 902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3433877?\nAnswer: 23, 173, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2. Let b(j) = 14*j**2 - 1. Calculate 2*b(s) - 22*k(s).\nAnswer: 6*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 151 - 123. Solve -k + 3 = -5*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -213 - -192 - (0 + -22) - (-1 + 79).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 725 (base 10) to base 11.\nAnswer: 5aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -811*r + 813*r + 7*r**3 + 4 + r**2 - 5 to s*r + k + z*r**2 + m*r**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of -12 + -8 + 23 - -47701?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 6*p**2 + 5*p + 7. Let s be n(-5). Suppose 2*o + 19 = 5*r, 0 = -s*r + 4*r + 5*o. Solve f + u = -u + 1, 0 = r*f - 5*u - 20 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/4 of a second in milliseconds?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 3*c**3 - 2306106*c**2 = 0.\nAnswer: 0, 768702","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-7)*(-462)\/198*60*(-33)\/22.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000338041598 to seven dps.\nAnswer: 0.0000338","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32 - 47. Let y = m - -10. Let r(w) = -6*w**2 + 8 + 0 - 2 + 5*w - 2. Let z(l) = 5*l**2 - 4*l - 3. What is y*z(h) - 4*r(h)?\nAnswer: -h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -675*p + 670*p + 125 = 0, -4*t - 63 = -3*p for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 1 + 6)*(0*u + 5*u - 3*u) + 4*u + 1 + 0*u - 5*u to v + h*u and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 4*z + 4*d, 0 = z + 2*d - 1 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.21 + 142.21. Let a = 137 - z. What is the closest to -1 in a, 4, -2\/7, 5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j - j + 2*j)*(9*j**2 + 11*j - 11*j)*(j**2 - 2*j + 2*j).\nAnswer: -18*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 3)*((1 + 0 + 1)*(-g + 2*g - 2*g) - 3*g + 2*g - 2*g + 25*g - 26 + 26).\nAnswer: 100*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0013550331 to 6 dps.\nAnswer: -0.001355","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k + 16 - 46 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*2*sqrt(170) + -5*sqrt(170)*2)\/(sqrt(50)\/sqrt(5)*-5 + sqrt(160)*-2 + sqrt(160) + sqrt(160)).\nAnswer: 16*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 434\/(-35) + 10 - (36\/35 + 0)\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25984723 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-20))\/(-1*(-2)\/2)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24 - -50. What are the prime factors of g?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 25907 = 5*y, 1890*y = -2*r + 1885*y + 6503. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 1:07 AM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1392388631 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2, -9, -20, -35?\n\"Answer: -2*m**2 - m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19174458.\nAnswer: 2, 3, 19, 168197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (58 - 286008\/4930)\/((-6)\/(-15))\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1244970 divided by 318?\nAnswer: -3915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 (base 15) in base 16?\nAnswer: 629","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2916586560.\nAnswer: 2, 3, 5, 3038111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u - 2 - 126832*u**3 + 0*u + 126815*u**3 - 12*u**2 in the form g + j*u**2 + o*u + m*u**3 and give j.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 78\/60 + 16\/(-20). What is the nearest to 0.1 in -2\/27, d, -0.2, 1\/3?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h - 11. Let c be z(11). Suppose c = -3*q + 2*m + 59, -3*q + m + 0*m = -61. Calculate the greatest common factor of 231 and q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 17*q - 3. Let g(a) be the second derivative of -340*a**3\/3 + 119*a**2\/2 - 37*a. Let w(c) = 3*g(c) + 119*j(c). Let v(m) = m. Determine w(v(p)).\nAnswer: -17*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2149\/9 + -239. Which is the third biggest value? (a) i (b) 2 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8025 and 1650?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -487 = -19*o + 159. Suppose 3*u + 22 = f, 8 = -5*u - 17. Calculate the remainder when o is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -12*f. Let n(a) be the second derivative of -a**3\/6 - 11*a. Give x(n(j)).\nAnswer: 12*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35.13, -12, -28 in increasing order.\nAnswer: -28, -12, 35.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*o + 2)*(1 + 2 - 9).\nAnswer: -12*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*f + 4*r, -4*f + 0*f - 4 = -3*r. Let h be (12\/(-108))\/(f\/(-2)). Which is the second biggest value? (a) -0.2 (b) 3 (c) 1\/4 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34512?\nAnswer: 2, 3, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 362 divide 2924960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -1135.7983 and 124.84.\nAnswer: -1010.9583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 7:44 AM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 5*w. Let m = 46 + -43. Let q(b) be the second derivative of 1\/6*b**m + 2*b + 0*b**2 + 0. Give q(g(n)).\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -240585 by -7.\nAnswer: 240585\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + 0. Suppose 3*c = -2*c. Suppose -n + f*n - 12 = c. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 0. Let a be 0\/(-1) + (-2 - u). What is the derivative of a + m - 1 + 1 - 4 wrt m?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or 3036?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/((v*v**(-3\/7)\/v)\/v)*v**(2\/39)\/v*v assuming v is positive.\nAnswer: v**(677\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 15825, 63290, 142415, 253206, 395669?\n\"Answer: d**3 + 15824*d**2 - 14*d + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + 0 - -1)\/(-2). Let n = 0 + c. Suppose q - 4*q = n. Solve g - 3 + q = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36 by -8.\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 12 + 2 = 0. Let q be k\/(-7) - (-4630)\/35. What is the highest common divisor of 12 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 199112348 and -0.0319.\nAnswer: 199112347.9681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/557 - 17281\/3899. What is the common denominator of -34\/7 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 12*z - 8. Let q be k(1). Let s be (41\/q)\/(-8 + 1164\/144). Which is greater: s or 125?\nAnswer: 125","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 8. Suppose 3*u - 5 = -v*i + 4*u, 2*i - 3*u - 7 = 0. Let y(a) = a + a**3 - i + 1 + 6. What is y(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 3. Let s(h) = 10*h + 5*h**2 + 5*h**2 - 11*h**t - 16. What are the prime factors of s(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 + 12. Let x = 17 + t. What are the prime factors of x?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/4)\/x**(-6))\/(x**(1\/2)\/((x\/x**6)\/x)))**(3\/26) assuming x is positive.\nAnswer: x**(-3\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 232 + -237 - (-14 + -1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1626.07024 to the nearest 10.\nAnswer: 1630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (1 - 7 - -12) + -8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47186, -47615, -48044, -48473?\nAnswer: -48902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1076?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7696, -7694, -7692, -7690?\nAnswer: -7688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u - 2. Let q be l(0). Is 7 a factor of (-6)\/1*7\/q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -15*i. Let d(v) = 3*v**2 - 3201235*v - 2. Give n(d(k)).\nAnswer: -45*k**2 + 48018525*k + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**4 + 5*t**3 - 5*t**3 + (-5*t**3 - 4*t**3 + 3*t**3)*(-2*t + 3*t - 3*t) + t**4 + t**4 + 0*t**4.\nAnswer: 12*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 10 - 3)*(3*a + 2*a + 3*a) to the form u*a + h and give u.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 40, 42, 28, -8, -72, -170?\n\"Answer: -d**3 - 2*d**2 + 15*d + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1420060?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -4.7. Let z = -296 + 296.1. Let a be 16\/(-12)*(-1)\/(-2). What is the nearest to z in f, 1, a?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1046131 (base 7) in base 16?\nAnswer: -1f966","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -4703 > -31\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 272 - 273.1. Let n = l + 0.7. Which is the fourth smallest value? (a) 0.2 (b) -5 (c) 6 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -55*t**2 - 46*t. Let w(h) = -h**2 - h. Let n(j) = o(j) - 3*w(j). What is the second derivative of n(c) wrt c?\nAnswer: -104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2466840, 19734810, 66605016, 157878576, 308356608, 532840230, 846130560?\nAnswer: 1263028716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**2\/13 + 18*r\/13 + 28\/13 = 0. Calculate r.\nAnswer: -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*2*sqrt(399))\/(sqrt(49)\/(sqrt(7) - sqrt(7)*-1)))\/(((-1*sqrt(600) - sqrt(600)) + sqrt(6))\/(sqrt(72)*-2)).\nAnswer: -240*sqrt(19)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1168*i + 7275 = 1143*i. Is i bigger than -287?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - 6) + 1350\/9 + 1. What is the highest common factor of 42 and u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19556, 19554, 19552?\nAnswer: 19550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3871, -1701, 1919, 6989, 13509?\n\"Answer: 725*h**2 - 5*h - 4591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-155 + 200)\/(3\/(-4)). Which is greater: k or -367\/6?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 8 = 2*y, -369*y = -366*y + 5*f + 12 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3*y**2 + 4*y + 3. Let q be (6\/4)\/(3\/(-8)). Let p = q + 1. Is n(p) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 128505?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 96769.58 litres in millilitres?\nAnswer: 96769580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of m**4\/2 - 10*m**3\/3 + 3*m**2\/2 + 6*m - 78. Calculate z(5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 - 13*m - 2. Let i(x) = -5*x**2 - 65*x - 11. What is -2*i(n) + 11*t(n)?\nAnswer: -n**2 - 13*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.178 - -1.2. Let i = 944.91 + -945. Let u = i - h. What is u rounded to 2 dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002 plus 191.6?\nAnswer: 191.602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -174.01456 - -174. Let r = 0.37352 + b. Let k = r + -0.36. Round k to 4 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(1\/4)*r*r*r)\/r)\/r**(1\/4)*(r**(-2\/5)\/r)\/r**7 assuming r is positive.\nAnswer: r**(-27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1463?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oiww when four letters picked without replacement from {i: 2, o: 5, w: 3}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -q**3\/3 + 4*q**2 + 4*q - 1. Let f be n(6). Let u = -40 + 42. What is the highest common factor of f and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.49593438 times 0.2\nAnswer: 0.099186876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.4 - 0. Let n be (-30)\/(-50) - 11\/10. Let u = 26\/5 + -28\/5. What is the nearest to u in o, -0.4, n?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 5*q**2. Let j(v) = -144*v**2 + 54. Let x(t) = -11*t**2 + 4. Suppose 19*y = 4*y - 30. Let p(d) = y*j(d) + 27*x(d). Calculate c(p(g)).\nAnswer: 405*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 738994 rounded to the nearest one thousand?\nAnswer: 739000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2662*y - 9103*y - 2*y**4 + 3075*y + 2702*y + 2*y**3 + 2 to the form j + m*y**3 + k*y + f*y**2 + v*y**4 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 128, 218, 314, 416?\n\"Answer: 3*i**2 + 81*i + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(405) + (sqrt(405) - (sqrt(405)*2 - sqrt(405))*4))*-5)\/(((sqrt(9) - sqrt(36)\/sqrt(100)) + sqrt(9))*2))**2*-6.\nAnswer: -6250\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 202115 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of -t**5\/10 + t**4\/2 + 4*t. Find the third derivative of p(w) wrt w.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -1. Let o = -649 - -659. Suppose 8 = 3*q - 4*c, -8*c + o*c = 3*q - 10. Solve -k = 3*a - 2*a - 1, -q*k = w*a + 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 716988 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -5*t + 6, 3*t - 2*f + 5 - 8 = 0. Suppose -t*s = -2*s. Suppose s = -q + 86 - 33. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 91207 or 91324?\nAnswer: 91207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(700) + -1 + -5 + 1)**2 + 1 + (sqrt(567) + 1 + 2)**2.\nAnswer: -3773 + 654*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -9*s + 106. Let c be m(10). Suppose -10*b = -c - 24. Solve 19 = -3*h + b*w, 0*w - 7 = 2*h + 3*w for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = x - 4*x - 60290, -4*x = 5*y + 75363. Let g = -58270 - -84141. Let q = y + g. What is q rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.0190359 to three dps.\nAnswer: 13.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1)*(1005*t**2 + 1363*t**5 - 1005*t**2).\nAnswer: -1363*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-1))\/(-36*58\/(-348))\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of s**6\/180 - s**4\/8 - 6*s**2. Let b(v) be the second derivative of o(v). Let f(u) = -4*u. Calculate f(b(r)).\nAnswer: -16*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*o - 92 = 20 - 307 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8433 = -2*s + 11*s. Suppose -6*i - 5*w = -7*i + s, -5*i - 4*w = -4714. Suppose -5420 = -5*l - 5*z, z - i + 6344 = 5*l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17857 + -17857. Which is bigger: 2\/32365 or l?\nAnswer: 2\/32365","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134964 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 - 515*n - 11308. What is w(-23)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, e: 1, a: 4, g: 4}. What is prob of sequence aaoo?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -170976, -342018, -513060, -684102, -855144?\nAnswer: -1026186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -10*m + 3. Let c(x) = -21*x + 7. Give 3*c(g) - 7*l(g).\nAnswer: 7*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -1\/6, -0.3, -1, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 q when two letters picked without replacement from qkkw?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26523926 is divided by 37?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 divided by -3?\nAnswer: 49\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = -3*l + 4*c + 49, 0 = 3*l - 14*c + 41 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -682.86 rounded to the nearest 10?\nAnswer: -680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 502422 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1615127?\nAnswer: 307, 5261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 + 66\/(-21))\/(-1). Let y be (-3)\/(-8)*(-16)\/(-36)*-1. What is the nearest to 0 in 1\/2, t, y?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) -4 (b) 42 (c) -3 (d) -1\/35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -10\/8147, -2073, -3\/2 in descending order.\nAnswer: -10\/8147, -3\/2, -2073","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a - 2*a**2 + a)*(-2*a**3 + 3*a**3 - 2*a**3 + a**3 - 4*a**3 + 2*a**3 + (3*a**3 - a**3 - a**3)*(0 + 0 - 3) + 3*a**3 - 4*a**3 + 0*a**3).\nAnswer: 12*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 24 = -2*i, 0 = 3*t + 3*i + 2*i - 68. Let n = t + -9. What is the lowest common multiple of 7 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 511.24731 rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 1)*(66*f + 115*f**3 - 66*f).\nAnswer: 345*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.03 less than 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 15*d**2 - 6*d - 2. Let x(v) = 7*v**2 - 3*v - 1. Give -6*h(w) + 13*x(w).\nAnswer: w**2 - 3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 26048?\nAnswer: -26049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -32\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -79, -152, -227, -304, -383?\n\"Answer: -g**2 - 70*g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d**5 + 26*d**4 + 2*d**3 - 26*d**2 - 8*d = 0. What is d?\nAnswer: -4, -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 1 = -o, 0 = 7*q + 3859*o - 3850*o + 9 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 2\/9 (c) 2\/5 (d) 57\/7 (e) 3 (f) 9.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 10*f - 5*f + 104 - 4 = 0, 10*k - 40 = 2*f for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-15)*(-33)\/14861*7?\nAnswer: -1\/193","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213 is divided by 62.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2961438192 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2015518.986772 + 24.686772. Let d = 2015494.66999954 + n. Let a = -0.37 + d. What is a rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 5*s - 5, -22 = 3*o - 4*s - 17. Solve 2*v - 4 = a + 3, o*v - a - 22 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 3*r - 10. Suppose r = q - 2. Suppose 5*t - 3*z = 28, 3*t - 36 = -2*z - q. Does 8 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 55775666.3 to the nearest ten thousand.\nAnswer: 55780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -6*f. Let y(x) = 6*x**2 + 25*x + 40. Give y(v(g)).\nAnswer: 216*g**2 - 150*g + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, j: 5}. What is prob of picking 2 j?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 3*r**2 + 3*r - 4. Let y be s(-2). Solve -4*d + 16 = -3*b, -d + 5 = -y*b + 1 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -3, 8446, -1, -5.\nAnswer: -5, -3, -1, 10, 8446","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4*n + 12 + 6 = 0, -3*b - 2*n = -5. Let w = 5 + -8. Let y(a) = 2*a**3 + 46*a**2 - a - 24. Let g be y(-23). What is the closest to g in -0.6, w, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2727 or 13639\/5?\nAnswer: 2727","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125095*k - 125095*k + 34*k**3.\nAnswer: 34*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20 + -28 - -16) + -7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22173137?\nAnswer: 7, 149, 3037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4249555410?\nAnswer: 2, 3, 5, 43, 241, 13669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 212*o**2 - 56*o + 170. What are the prime factors of y(-12)?\nAnswer: 2, 5, 3137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47 (base 10) to base 5\nAnswer: -142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 147.0962 to the nearest 10.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, z: 2, l: 7}. What is prob of picking 4 l?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 4)*(7714 - 211*u - 7714) to i + g*u and give g.\nAnswer: -422","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*a**2 - a**4 + 5 + 2*a - 32*a**2 - 145*a**3 + 8*a**2 - 2 - a**2 to the form z + s*a**3 + u*a**4 + b*a**2 + m*a and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -16 + 15173*v**3 + 25 - 15172*v**3 + 195*v in the form l*v + b*v**2 + w + r*v**3 and give l.\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, b: 1, t: 9, c: 1}. Give prob of sequence bect.\nAnswer: 9\/8008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 132 = -25*j + 36. Solve -7 = -j*u + 4*u - 2*q, -5*u - 35 = -6*q for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/536 and 51\/1625152.\nAnswer: 1625152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -3*a**2 + 9*a - 3. Let t be q(4). Is -3*2\/(-3) + (111 - t) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 81 - 238\/3. Let p = 12.3 - 8.3. Which is the biggest value? (a) g (b) -4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-7))**(2\/15)*((o\/o**(-10)*o)\/o)\/o*o*o**(1\/2)\/o assuming o is positive.\nAnswer: o**(97\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -51 (b) 4 (c) 2\/3 (d) -4\/7 (e) -4 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 326285 is divided by 2503?\nAnswer: 895","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 10 + 361*g - 86*g - 1 - 11 to the form k + t*g and give t.\nAnswer: 275","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x**2 + 6*x - 9. Let p = 1367 - 1362. Determine b(p).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 10, -3, -32, -83?\nAnswer: -162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81, -46, -263, -564, -943, -1394?\nAnswer: -1911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(20)\/sqrt(4) - 1*sqrt(45).\nAnswer: -2*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -148.5 - -149.5. What is the third biggest value in 2\/13, -4, 60, g?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -360 divided by -36?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -6, 2, -4, -2.\nAnswer: -18, -6, -4, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of -1\/12*y**4 + 0 + 1\/2*y**3 - 2*y - y**2. Give p(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/2*(-1752)\/37449*27\/21.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/10*-1*(-2)\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 3444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-3 + 7 + -4 - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 10, 0.4, -133, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 58 + (31 - (38 + -13)) + 13\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3936?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.099979 to two decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-12)*(-2982)\/(-71)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 0*h**3 - 18*h**2 - 15 - 45*h + h**3 + 65*h - 8. Let o be p(17). Differentiate 11 - o - 41*g + 8 + 31 with respect to g.\nAnswer: -41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-6))\/(146\/365).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 0.5 (c) -2 (d) -2\/7 (e) -5 (f) 129 (g) -0.009\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 171771020 to the power of 1\/2, to the nearest integer?\nAnswer: 13106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 11, h: 2}. Give prob of sequence aa.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 AM and 1:59 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -768 - -769.777. What is k rounded to 0 dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*v = 45*v + 64 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/v**(-2)))**(2\/3))**(2\/9)\/((v**0)**(-19)\/(v**5\/((v*v**(-4\/3))\/v))) assuming v is positive.\nAnswer: v**(163\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -6*m**3 - 6*m**2. Let h be (-3*(-6)\/9)\/1. Let o(v) = 4*v**2 + 2*v**2 + h*v**3 - 4*v**2. Let x be -4*(-4)\/8 - (-34 - -32). Give x*q(y) + 11*o(y).\nAnswer: -2*y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/6)\/(2\/6). Let a = n + 6. Suppose -2*k + 3*k - 9 = 0. Solve -2*c + 6 = 0, 3*q + 0*c = -a*c + k for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-115)\/15)\/(2\/6). Let w = o + 31. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*(20\/6 + -4). Let m(q) be the first derivative of 7*q**2\/2 + 3*q + 8. Give m(c).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -5*g**3\/3 + 3*g - 271. Let v(o) = -24*o**2 + 14. Give -14*p(w) + 3*v(w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*24\/(-64))\/((36\/8)\/(-3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2 - 44048*l.\nAnswer: 2*l*(l - 22024)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 11c6 + 4?\nAnswer: 11ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*f + 4 = -4*h - 48*f, 0 = 2*h + 52*f + 200 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9101.1nm to millimeters.\nAnswer: 0.0091011","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/5*5\/(-3)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = 5*d + 5, -4*d - 3*x - 20 = -9*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-370)\/684 + 2\/(-9). Let r = n - -1\/76. Let s = 41597\/5 + -41599\/5. Which is the second biggest value? (a) -4 (b) r (c) -0.3 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 - 9) + (-30)\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*r**3 + 3*r**3 + 2*r**3)*(0 - 47 - 115) as n*r**2 + k + i*r**3 + b*r and give i.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -50*u + 22*u - 1 + 30*u. Suppose -a + 10 = -5*z - 6*a, a + 7 = 4*z. Calculate w(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -14f2 + -12d?\nAnswer: -161f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14 - -12?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 87 = 8*l, -3*t - 52 = -6919*l + 6914*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -1, -0.06, 0.2, 0.325, 0.3, 1.9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0845 and 200?\nAnswer: -16.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 12*l**2 - 18*l - 11. Let c = -37 - -47. Calculate the smallest common multiple of 3 and g(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 1. Let t(a) = -4 + 1 + a**2 - 1 + n - 2*a. Let h be t(2). Solve 0 = 5*s - 4 - h for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qvee when four letters picked without replacement from {p: 2, q: 1, z: 1, e: 1, v: 1, k: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1046191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -13902, -27803, -41704, -55605?\n\"Answer: -13901*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 11233754.\nAnswer: 1\/11233754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 5105 divide 384619881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50184.\nAnswer: 2, 3, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -2*x + 34. Let h(a) = -a**3 - 14*a**2 - 28*a - 22. Let t be h(-12). Let f = x + t. Is 20 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1644817 to the power of 1\/3, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -73, 5, 83, 4, 2, 12 in descending order.\nAnswer: 83, 12, 5, 4, 2, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3*y**2 + y + 4. Let d be n(3). Let o = d + 76. What is the greatest common factor of o and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 2*k + 4*b - 10, -5*k - 7 = -b. Let s = k - -5. Suppose -5*l = -5*y + 10, l - 2 = -s*y - 4. Solve v - 4*g + g - 2 = y, 3*v - 6 = 3*g for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*v + 1401 = 3*v - 452 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/3 + 1078*a**2\/3 + 190688*a\/3 + 3672360.\nAnswer: 2*(a + 135)*(a + 202)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**2 - d**2 - 2*d**2 + (0*d + 2*d - 4*d)*(2*d - 3*d + 2*d + 2*d + 2 - 2 + (2 - 2 + 1)*(-d - 2*d + 2*d)).\nAnswer: -7*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t - 7*t - 13 + 6*t + 3*t**2. Let q be f(4). Suppose 0 = -2*y + 5*z + q - 10, 0 = -3*y + 5*z + 46. Calculate the remainder when 49 is divided by y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-50)*85\/(-34).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 39 * 0.3623.\nAnswer: 14.1297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 3 + 0)*(-6*s + 4*s + 4*s - 4*s + 2*s + 0*s - 3*s - 2*s + 4*s + (-s + 0*s - s)*(-4 + 5 - 2) + 0 + 0 - 2*s + 5 - 2 - 3*s - 1).\nAnswer: -32*s + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12550.3 - -10043. What is g rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 8256297, 8256295, 8256293, 8256291?\n\"Answer: -2*n + 8256299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 27\nAnswer: 5\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-1035)*30\/(-4))\/(22\/(-44))?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 - 7*v - 5. Let r be -1*6 + 6 + -6. What is p(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 34?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*l - 13 + 5 + 6 - 6 - 13 + 20.\nAnswer: -29*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 264 a factor of 681955296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 43 (base 5) to base 12\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -41*k**2 - 40*k - 59. Let f(r) = 11*r**2 + 10*r + 15. Let p(h) = 22*f(h) + 6*t(h). Factor p(y).\nAnswer: -4*(y + 2)*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9.5 + -8. Let d = 0.5 - t. Is -1 greater than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -55*p - 59*p + 227*p - 58*p - 54*p + 160 as q + z*p and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r**3 + 5. Give x(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3802340.\nAnswer: 2, 5, 41, 4637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -62 + 53. Let f(x) = 0 + 3 - 3*x - 1. Let s(l) = -13*l + 9. Determine o*f(m) + 2*s(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 5*d**3 - 12*d**2 + 26*d - 130. What is the units digit of k(16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 - 17*o - 91. Calculate d(21).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + 4. Let u(o) = -9*o - 13. Let y(j) = 4*j + 6. Determine g*u(v) - 13*y(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*q**2 - 4 + 4)*(-60*q - 83*q + 37*q) to the form u*q**2 + w + p*q + d*q**3 and give d.\nAnswer: -424","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 525 + -6341\/12. Let f = g - -11\/12. Put -4, 0.1, f in decreasing order.\nAnswer: 0.1, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6 + -5 - (-4 + 2). Suppose v = l*o + 86, -3*o + 134 = 4*v - 195. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence avsv when four letters picked without replacement from {a: 7, f: 3, s: 5, v: 4}.\nAnswer: 35\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 - h**2 + 8*h**2)*(5*h**2 + 4*h**3 - 5*h**2).\nAnswer: 24*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9995 is divided by 104.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(432)*2)**2)*5.\nAnswer: 8635","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 243506477?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 334 or 338?\nAnswer: 334","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -301*l + 61. Suppose -4 = r + 2*z, -r - 4*z - 2 = -z. Let n(x) = 201*x - 41. Let q(y) = r*n(y) - 5*d(y). Differentiate q(m) with respect to m.\nAnswer: -103","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 155 + -149 - (-1 - -1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9c8 (base 16) to base 3\nAnswer: 10102202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7678 less than or equal to 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 290*w = 1947962 + 3346858. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.29 from 0.0636063783854.\nAnswer: 1.3536063783854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 5:23 AM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 12*o**2 + 8*o - 8. Give a(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -176 + 175.855. Let d = q + 0.035. Sort -1, d, -7 in decreasing order.\nAnswer: d, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**3 - 2*i**3 + 3*i**3)*(i - 3*i + 0*i) - 1353*i**4 - 358*i**4 - 272*i**4.\nAnswer: -1981*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l*l*l**(-2\/5)*l*l**(-3\/4))\/(((l*(l*l**(9\/2)*l)\/l)\/l)\/l)**(-1\/29))**(-43) assuming l is positive.\nAnswer: l**(-99889\/580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19600*q = 19598*q - 2*u + 18, 3*q - 2*u + 45 = 7*u for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2211200223 (base 4) in base 7?\nAnswer: 5522322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/7*(-70)\/50 + (-531)\/(-135)\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -10001000010010001011 (base 2) to base 5\nAnswer: -120330334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (64\/160)\/(3\/(-18))\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -98720310, -98720309, -98720308, -98720307, -98720306?\n\"Answer: v - 98720311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 8 = 2*d - 4*k, -4*k = -5*d - 8. Suppose d = 12*h - 7*h - 10. Suppose -3*s = s - 12, z - h*s = -7. Let j(q) = -2*q**3 - 2*q**2 - q. What is j(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**(-5)*s**(3\/7)*(s*s*s**(-1))**(-6) assuming s is positive.\nAnswer: s**(-67\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -65700 to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 188*p**2 - 2690*p + 2590928 wrt p.\nAnswer: 376*p - 2690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3.85 (b) 0 (c) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24370 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 10*q**2 + 9*q + 14. List the prime factors of c(-5).\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -425.3 - -390. Let w = c + 35.4. Put w, 0.4, -1 in ascending order.\nAnswer: -1, w, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4769565, -3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 11*r + 78. Let v(l) = 24*l**2. Give b(v(n)).\nAnswer: 264*n**2 + 78","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a**3 - a**3 - 3*a**3.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(475) + 3 - 3*(-1 + sqrt(475))) + 2)**2.\nAnswer: -220*sqrt(19) + 2021","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-1\/6))\/x**0)**43\/((x**(-2\/3))**(27\/5))**(-25) assuming x is positive.\nAnswer: x**(-325\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 4*j - 1 = 3, -2*f + 8 = -4*j. Calculate the remainder when -1*34\/f*-1 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83375 is divided by 744.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8266 + 8266. What is the closest to -1 in -0.2, i, -4, -2\/17?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3744 is divided by 125.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -520*a + 139*a + 129*a + 126*a + 125*a - 7.\nAnswer: -a - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g**2. Let q = -377 + 379. Let m(a) = -3*a + 112 - 20*a**q + 3*a - 58 - 51. What is c(m(n))?\nAnswer: -800*n**4 + 240*n**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.5, -1\/5, -4, -1\/205, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2913462887 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -15, -19, -35, -69, -127, -215?\nAnswer: -339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -115 times 1538?\nAnswer: -176870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g + 3*q + 15, -382*g - 24 = -181*g - 185*g - 3*q for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.07*-0.02\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -125221.90036 and 1.3?\nAnswer: 125223.20036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 - 46. Let m(z) = z**4 + z**3 + z. Let l(k) = -21*k**4 + 18*k**3 - 18*k. Let j(o) = w*m(o) + l(o). Find the second derivative of j(c) wrt c.\nAnswer: -468*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 159156, -167.\nAnswer: -167, 5, 159156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -403*g**3 - 662*g**2 - 880275.\nAnswer: -1209*g**2 - 1324*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6874 is divided by 32?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - ((5 - 3) + -5) - -2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*w**3 + 3*w**3 - 4*w - 4*w**3 - 2*w**3 to the form y*w**3 + p*w**2 + n*w + s and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -34199, -68211, -102223, -136235, -170247, -204259?\n\"Answer: -34012*h - 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**3 + 71*l**3 - 59*l + 15*l + 42*l.\nAnswer: 72*l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4\/13 (b) -102 (c) 964\/3 (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4229209?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 3:56 AM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*x**3 - 6*x**3 - 12*x**3 - 2*x + 2*x + 2*x**3 + (0*x**2 - x**2 - x**2)*(-4*x - x + 4*x) - x + 3*x**3 + x.\nAnswer: -6*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, d: 7}. What is prob of sequence ddbb?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -55 + 78. Suppose 3*j = -u + 13, -2*j + 5*u = -c - 14. Suppose 4*w - j*l = -2*l, 2*w = -l. Solve w*z = -2*z - 10 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 783304\nAnswer: -391652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 6*n + 10 = -n, 0 = -5*s - 2*n + 13. Solve -6*c - 3*v + 8 = -c, c - s*v = -2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -477 - -10973\/23. Is d >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -527*b - 1103 + 14278 for b.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 102320288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -609 - -641. Calculate the greatest common factor of 56 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - -1 - -2 - (67 + -80).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*z**4 - 2*z - 3 + 37*z**3 - 16*z**3 - 5*z**3 - 8*z**3 + 2 in the form g*z**2 + a*z**3 + r*z**4 + i*z + o and give a.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**2 - 3*c**2 + 7*c**2)*(0*c - c - c)*(-5 - 1 + 1)*(2*c + c - 2*c).\nAnswer: 70*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q**4 - 144*q**3 - 159*q**2 + 576*q + 588 = 0.\nAnswer: -2, -1, 2, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4033714571 to the nearest integer?\nAnswer: 63512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4046 + 783?\nAnswer: -3483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7264 and 128.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 - 17. Let m(h) = h**3 - 8*h**2 + h + 7. What is the remainder when 213\/5 - z\/(-20) is divided by m(8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 106, 163, 170, 127, 34, -109?\nAnswer: -302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/3*3 - -4. Suppose 43 = q*r - 113. Is r a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/1470 and 83\/31500.\nAnswer: 220500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1636776570?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -3, -21.\nAnswer: -21, -9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.518901774 rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/2, 0.5, -4, 50?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6\/(-11) - (-13 - 3374226\/198)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22087 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d - 15. Let k be g(10). Put k, 2, -8 in increasing order.\nAnswer: -8, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/4 and 73\/544.\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -173*k - 2925*k - 560*k - 984*k.\nAnswer: -4642*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -19 + -1038?\nAnswer: -1054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o**2 + 0*o**2 - 2*o**2 + (0 - 5 + 1)*(-3*o**2 - 6*o**2 - 4*o**2) as b + r*o**2 + g*o and give r.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 128089?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}