diff --git "a/data/dm_maths/full_data/11221_11255.jsonl" "b/data/dm_maths/full_data/11221_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/11221_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let v(p) = -p + 9. Let z be v(7). Let s(f) = -6*f**2 + f + 1. Let y(k) = -17*k**2 + 4*k + 2. Let g(w) = -8*s(w) + 3*y(w). Determine g(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r + 3. Let k be i(-2). Suppose -1 = o - l + k, -o - l = 0. Is (243 - -7) + 4 + o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(800)*-5)\/(sqrt(90)\/(sqrt(9) + (-2*sqrt(72))\/sqrt(8))).\nAnswer: 100*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4915 + 4915.5. Sort p, 2, 106, -1, -3 in increasing order.\nAnswer: -3, -1, p, 2, 106","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k**2\/19 + 140*k\/19 - 96\/19 = 0. Calculate k.\nAnswer: -24, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, m: 9, x: 5, g: 1, e: 4}. What is prob of picking 1 m and 1 x?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.03564 and -27550?\nAnswer: -981.882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (13\/(4550\/(-15)))\/((-192)\/(-80))\nAnswer: -1\/56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/(-7))\/(1\/(-7)). Let a(t) = -t + 21. Let y be a(19). Put i, y, -3, 0 in increasing order.\nAnswer: i, -3, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10740634?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3721a4 (base 12) in base 8?\nAnswer: 3324614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-14)*(-150)\/((-50100)\/1169).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*3\/(-4)*(-3)\/(-9).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -f - 3*o, -15 = -5*f + 2*o + 3. Let y(i) = 0*i**2 - f*i**2 + i + 0*i**2 + 3 + i**3. What is the units digit of y(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/(-9) + 4\/6. Let w = -13 - -17. What is the third derivative of -i**2 + 2*i**2 - t*i**5 - 2*i**2 + w*i**2 wrt i?\nAnswer: -120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/v**(-2\/11)*v)\/v**1*(v\/(v**(-3\/2)*v))\/v**(3\/5)*(((v*v\/(v*v**0))\/v*v*v)\/v**(-2))\/((v*v\/(v**(2\/5)*v))\/(v*v**1)) assuming v is positive.\nAnswer: v**(933\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - 6*t + 2. Let o be r(0). Let v(c) = 4 - 3 + 2 + 7*c**2 - c**3 + o. What is v(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -2*n + 7*f + 400015, -3*f = 4*n - 799985. Round n to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -210*r**3 - 54575 + 54575.\nAnswer: -210*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 9*w**2. Let c(o) = -4*o + 10*o + o - 2*o. Give f(c(g)).\nAnswer: 225*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 - 4*k**2 + 9. Let f = 556 - 553. Let n be q(f). Solve n = s + 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 53 = 5*c. Suppose -2*p = -c - 41. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -0*p - 5*p. Let k be 76\/12 + (-2)\/p. Let f(x) = x**2 - x + 12. Let z be f(0). What is the greatest common factor of k and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by -6.\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((27\/(-135)*-30)\/9)\/((-20)\/(-90)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**5 - 10*r + 10*r - 2*r**5 + r**5 + 3*r**5 + (2*r - 2*r + 2*r)*(116*r - 116*r - 90*r**4).\nAnswer: -181*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.27 - 0.2655. What is b rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -621*z**2 - 817*z**2 - 251*z**2 + 38*z**2 as x*z**2 + b*z + g and give x.\nAnswer: -1651","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -121b411 - 1?\nAnswer: -121b412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 565, 5 in increasing order.\nAnswer: -1, 0, 5, 565","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 4*k - 5. Let l be m(3). Let r(n) = -n**2 + 6*n + 2. Determine r(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*4*(-3 + sqrt(128)*-1))**2.\nAnswer: 3072*sqrt(2) + 8768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -2*a - 0, 3*a + 8 + 11 = -4*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 241*i**2 - 23*i + 102. Let t(h) = 10*h**2 - h + 1. Give -2*j(q) + 46*t(q).\nAnswer: -22*q**2 - 158","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-84805)\/(-77) - (-12)\/(-33).\nAnswer: 3, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide ((-20)\/(-6))\/(6*(-7)\/(-2394))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3174.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -6\/11, -3, 0.96, 3, 0.3?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000287104 rounded to 5 dps?\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32348290?\nAnswer: 2, 5, 13, 19141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -65792*t**2 + t + 12862.\nAnswer: -131584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**2 - 2*p + 9*p**3 + 3*p - 6*p + 4*p as o*p + v + t*p**3 + k*p**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 5*z**2 + 4*z + 4. Let s(g) = -9*g**2 - 7*g - 7. Let h(x) = -5*j(x) - 3*s(x). Let m be h(-1). Which is smaller: m or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g - 2. Let r be (-2 + -4)*2\/(-6). Let z be o(r). Suppose -2*a + 39 - 1 = z*w, 2*a + 3*w = 40. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*f - 29*f - 15 = 3*o, 2*f + 22 = 16*o - 12*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, n: 1, a: 2, c: 4, b: 2, e: 2}. Give prob of sequence aebn.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + 15\/5 + -1. Let t = -11 - -26. Suppose -4*a - 5*d = a - 5, t = 5*d. What is the second biggest value in -7, s, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v**2 + 5*v**2 - 15*v**2 - 39150 + 78348 - 39198.\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7215 divided by 2405.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -45498 - -13?\nAnswer: -45485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.028 - -17.028. Let g = -13 + f. Which is the third biggest value? (a) 3\/4 (b) 2 (c) g (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2 = x, 27*x - 3*b = 29*x - 4. Suppose 0 = -2*g + x + 2, -4*u + 134 = -g. Does 9 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 6 = -2. Let q = -11 - -13. Calculate the remainder when q is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a millimeter in micrometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15506 - -268?\nAnswer: -15227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 133885777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, x: 2, r: 4, o: 2, g: 1, h: 5}. Give prob of picking 1 z and 1 x.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/1264144 and -107\/451480?\nAnswer: 6320720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-46)\/138 - ((-410)\/6 + -1) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9805?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -3*s**2 + 20*s - 20. Let v be l(5). Let z = 2 + 13. Solve 4*x = -2*i - 2*i + 12, z = x + v*i for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 778001 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 4*s**2 + 9*s - 6. Suppose -5*o + 5*c + 100 = 0, -2 = -6*o - 2*c + 134. Calculate the remainder when l(-7) is divided by o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 12\/25 of a kilogram?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -y + 53 - 57, -4*y = -3*f + 13 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*r - 38*r + 13*r to the form w*r + s and give w.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of -k**9\/20160 + 3*k**8\/2240 - k**7\/70 + k**6\/15 - k**5\/6 - 5*k**2. Let t(m) be the third derivative of u(m). Factor t(z).\nAnswer: -3*(z - 4)**2*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-three fifths of a millennium?\nAnswer: 79200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 110 = 12*p. What is the hundreds digit of -2 - 48\/p - (-17196)\/44?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620991 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1959 + 972. Let l = -46 + 55. What are the prime factors of g\/(-14) - l\/6?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4136354 by 2068177.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 114833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -27588 divided by -1039\nAnswer: 27588\/1039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1593357967 is divided by 1109.\nAnswer: 1108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 951.048 millilitres?\nAnswer: 0.951048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from frrfrfrrrfrrrf. Give prob of sequence frrr.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -713 - -3574\/5. Factor 3\/5*c**3 - h*c + 0*c**2 + 6\/5.\nAnswer: 3*(c - 1)**2*(c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -208*u - 10. Let a = 25 + -28. Let d be k(a). Is ((-2)\/(-4))\/(1\/d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one fifteenth of a minute?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-5)\/((x*x**(-4)*x*x)\/x))**(-11)*x**(-2)*x**(1\/8)*(x\/(x*x*x\/(x*x**(2\/7)\/x*x)))\/(x\/x**(-2\/3)) assuming x is positive.\nAnswer: x**(4829\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-884)\/28 + (-6)\/14. Let i = w + 32. Suppose i = c - s - 91, c - 4*s = -53 + 159. List the prime factors of c.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 87 - 85. Let w(c) = 10 + 12*c**i - 34*c + 14*c + 16*c. Is w(4) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -7*u**2. Let n = 24 + -18. Suppose -9 = -5*d + n. Let y(q) = 6*q**2. Give d*p(m) + 4*y(m).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 0 (c) 4866\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**4\/3 + 5*a**3 - 58*a**2\/3 + 28*a - 40\/3 = 0. Calculate a.\nAnswer: 1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -32524143232 - -2?\nAnswer: -32524143230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 490.1 + -489.89045. Let a = -33 + 33.21. Let t = u - a. Round t to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50380876?\nAnswer: 2, 7, 13, 61, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 47439480 by 88.\nAnswer: 539085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + (-35)\/(-14))*(-48)\/(-14). Solve g = -4*p - 2*a, 4*a - 1 = -4*p - 9 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2\/7, 60.6, 0.5 in decreasing order.\nAnswer: 60.6, 0.5, 2\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -13*a + 47. Suppose 0 = 85*w - 86*w + f + 5, -5*f = 5. Calculate l(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1282504219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -372568 divided by 1?\nAnswer: -372568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1866d + 5?\nAnswer: -18668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 743 and 282480427?\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*s**2 - 14*s**2 - 7*s**2)*(-s + s + 2*s)*(27 - 49*s - 27).\nAnswer: 294*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 393137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a = 11*a. Let n(s) be the third derivative of 0*s**3 + a + 1\/8*s**4 + 0*s + s**2. Let r(j) = -2*j**2. Determine n(r(k)).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 12 = -3*f, -4*f + 3*p - 3 = -18. Suppose 633 = -f*d + 9*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-90 + 24 - 24)*(-3*g + g - 2*g) - g - 3 + 3 + (-2 + 1 - 1)*(g + g - 3*g) - g + 3*g + 0*g + 2*g + 0*g - 4*g in the form y + h*g and give h.\nAnswer: 361","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 255 and 6822831.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - t = -3. Let r be (3*t)\/((-24)\/16). Let j(b) be the third derivative of -b**5\/30 - b**4\/12 - b**3\/3 + 2*b**2. Determine j(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*f + 21 = -12 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22685 and 43095?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-9)\/(-6))*(-4)\/(-40)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 984\/(-16)*(-1)\/(-3)*-12.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 i when three letters picked without replacement from {u: 6, i: 6}?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -46 - (-14 + -6 + 7 + -2)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/(-3))\/((-22)\/(-9) - 2). Suppose 35 = 8*s + m. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -201.32 + 187.693. Let j = f - -0.627. What is the closest to j in -3\/7, 3, 0.4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/9, 2\/7, 346\/5 in increasing order.\nAnswer: 1\/9, 2\/7, 346\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -13*x + 52. Let r be v(4). Solve -13*h + 14*h + 1 = r for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 173\/3120 and 43\/15.\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 61650?\nAnswer: 61650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 417*o**2 - 9. Let z be c(-6). Let w be (0 + 3)*-1 + z. Round w to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -13*s**2 + 13*s - 1. Let y(v) = -3*v**2 + 3*v. Let d = 71 - 41. Let j be d\/(-225) + 133\/(-15). Suppose 22*t + 18*t = 80. What is j*y(m) + t*k(m)?\nAnswer: m**2 - m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 880.4011um to centimeters.\nAnswer: 0.08804011","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 a when four letters picked without replacement from {o: 4, n: 2, a: 4}?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1080)\/144*((-16)\/12)\/1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 j, and 1 t when three letters picked without replacement from jixxxjtjtxiixxoooiix?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3477 times 9923\nAnswer: -34502271","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3868097 decades to millennia.\nAnswer: 0.003868097","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-6)*((-2499)\/7)\/17.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4008?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 51 + -37. What is the derivative of 2*x**4 + 13 + s - 23 wrt x?\nAnswer: 8*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/63)*r\/((r\/r**(2\/37)*r)\/r))\/(r**(-20))**46 assuming r is positive.\nAnswer: r**(2144683\/2331)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12 is divided by (-1)\/(0 + (-4)\/20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 5 - 55. Calculate the remainder when z is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6658759, 13317551, 19976343, 26635135, 33293927?\n\"Answer: 6658792*m - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 6 + 12. Sort f, 5, -15 in descending order.\nAnswer: 5, f, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 5\/4*t**3 + 0 + 5*t**2 = 0. Calculate t.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 4\/5, -0.0514.\nAnswer: -0.0514, 4\/5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e5bd4 (base 16) to base 4.\nAnswer: -3211233110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = 30 - 25 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 773637, 773639, 773643, 773649, 773657, 773667?\nAnswer: 773679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**1*s*s**19 assuming s is positive.\nAnswer: s**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/15298950 and -43\/406.\nAnswer: 107092650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 661*c - 330*c - 101 = 334*c + u, 0 = -2*c + 5*u - 73 for c.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1971489562.\nAnswer: 2, 7, 140820683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 5*f + 6, k + k = 2*f + 4. What is the lowest common multiple of 110\/44*(-12)\/10 + 7 and k\/(-3) + 256\/6?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 5*s + 378635, 12*d - 378663 = 7*d - 2*s. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2 - 2*w - w**3 - 4*w**2 + 3*w + 2*w. What is the units digit of i(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 142 + -91. Let p = s + -49. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 j when four letters picked without replacement from {t: 7, b: 3, a: 4, j: 4, k: 1}?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2708680 divided by 10418\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*r - 5*r = -20 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 24 - 3*w + 11.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2743, 2733, 2725, 2725, 2739, 2773?\nAnswer: 2833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*i + 12*i + 6160. Let f be 2 + -2 + 0 - (-34042)\/i. Let t = f + -362\/77. Find the common denominator of -37\/40 and t.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/6, -2\/16619, 1\/4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12845178.\nAnswer: 2, 3, 19, 23, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-588)\/270 + 2 + (-2)\/(-5). Determine s so that 4\/9 + 10\/9*s**3 + j*s**4 + 14\/9*s + 2*s**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 37, 98, 199, 340, 521, 742?\n\"Answer: 20*c**2 + c + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-1))\/(13\/104*8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 20 = c. Suppose 0 = -4*x - 3*i - 72, c = -4*i - 12. Which is smaller: -14 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -390 = 45*p + 105 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 863654 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 1538413 to the nearest 100000.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*i**2 + 278*i**2 + 2595*i**2 to c*i + r*i**2 + u and give r.\nAnswer: 2885","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*1\/(-12)*-1.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 16, d: 4}. Give prob of sequence dddd.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + 11*q**2 - q + 15. Let s be 3 + -2 + (11 - 1). Let w be p(s). Let k(c) = -1 + w - 3 - 2*c. Let u(b) = 5*b**2. Give u(k(h)).\nAnswer: 20*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 148833 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*j - j**2 - 3 - 7*j - 4*j + 2*j**3 - 12*j as i + q*j + t*j**2 + f*j**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bgqbqgqbhiqbnqq. Give prob of picking 1 q and 1 b.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 + 12.999984. Let x = 0 - t. What is x rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + 0 - 4) + -6 + 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 267 divide 177555?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19.4 in -1, -1\/9, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 446*l + 3126. Calculate z(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3257 + 13*s + 3*s + 6*s - 35*s + 7*s + 3255 + 240*s**2.\nAnswer: 240*s**2 - 6*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 509912677?\nAnswer: 3701, 137777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -177 + 351. Let y = n - -501. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36 - -54. Let y be l\/81 - (-104)\/18. Find the second derivative of -3*o + y*o + 0*o + 0*o - 5*o**2 wrt o.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -862 + 862 - 11614*w + 11619*w.\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -169229 equal to -9307566\/55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o + 8. Let z be i(5). List the prime factors of 2\/z + 34\/3.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21709 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nc when two letters picked without replacement from {n: 6, c: 3, a: 1, z: 8}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 528150740 rounded to the nearest one million?\nAnswer: 528000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 4:25 PM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (63*r - 944 + 944)*(0 + 0 + 3)*(3*r + r + 2*r)*((-2 - r**2 + 2)*(-4*r + 5*r + 0*r) + 2*r**3 + 0*r - 2*r + 0*r**3).\nAnswer: 1134*r**5 - 2268*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of 2*n**7\/105 + 5*n**4\/24 - 15*n**2. Find the second derivative of z(b) wrt b.\nAnswer: 48*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-12)\/9)\/(6\/9)*-2)\/(-5)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 3*n = -45, 360*h - 3*n - 41 = 358*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.29 + 0.69. Let b = -0.6 - z. What is the nearest to 0.2 in -4, -4\/7, b?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1277883 or -1277885?\nAnswer: -1277883","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2380 - 632. Suppose 0 = -5*w - 3*i + 2172, 0*i - 5*i = 4*w - b. Is 27 a factor of 1\/(-1 - (-434)\/w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1148557 to two decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8204 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/3 and -61\/21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-8)*a**(-5))\/(a\/((a\/(a**(-4\/3)*a))\/a)*a**(2\/5)))**(-50) assuming a is positive.\nAnswer: a**(2110\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 426 is divided by 251?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 726.9726 grams in milligrams?\nAnswer: 726972.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = x + 2, -11*c - 26 = -7*c - 5*x for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1489, 3026, 4601, 6202, 7817, 9434, 11041, 12626?\n\"Answer: -2*g**3 + 31*g**2 + 1458*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 14 + 50?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1675724 by -418931.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -979 times 0.1\nAnswer: -97.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.6 - -0.4. Let p = 0.3 + -0.2. Let w = 0.1 + p. Which is the closest to k? (a) 1\/3 (b) w (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 times 0.106\nAnswer: 0.742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 3*n**2 + 7055*n + 14112. What is u(-2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -718 + 1047. Let s = u + 406. Does 56 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 5234*f**2 - 5073. Let u(i) = -5233*i**2 + 5070. Let j(q) = 3*c(q) + 2*u(q). What is the first derivative of j(n) wrt n?\nAnswer: 10472*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 - 4*u - 8. Let z be t(5). Is -4 bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11673 - -11679. Solve s + 5 = -x + q*s, -5*x - 5*s - 25 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10122 (base 4) in base 15?\nAnswer: -13c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.1, 0, 4, 0.3 in decreasing order.\nAnswer: 4, 0.3, 0, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110010010000011011 - 10?\nAnswer: 110010010000011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 5*q = 55, 4*q = 5*y - 67 + 21. Solve -y*o = -35*o + 175 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*z**2 + 220 - 220 as a*z + s*z**2 + r and give s.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3*m = -9, v = -4*v + 5*m - 10. List the prime factors of (0 + 372\/v)\/2.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8 - -9)*(0 - -4). Let z = -0.6 + 0.2. Which is the smallest value? (a) r (b) z (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/6)\/((-4)\/6). Let u = -17 + 32. Calculate the remainder when (g*(-54)\/(-2))\/(2 + -4) is divided by u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 114\/27 + (-4)\/18. Suppose 12 = n*y + 2*d + 2, -d - 1 = 0. Solve -3*v + 3 = y*z, -z = z - 4*v + 10 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/34 and 15\/8?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7315189 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 - 27. Let l(a) be the second derivative of -a**5\/20 - a**4 - 8*a**3\/3 - 7*a**2 + 78*a. Is 9 a factor of l(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 11*p + 46. Let h be i(-7). Let n = h - -19. What are the prime factors of (1116\/10 - 0) + n\/20?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iirirbmmirimmri. Give prob of sequence mbri.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 11 = 3*l, -45*t = -2*l - 46*t. Let o be (-15 + 3)\/((-2)\/l) + 210. Calculate the highest common factor of 243 and o.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1356306 (base 11) in base 13?\nAnswer: 63a515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 5 = 3*s. Suppose t = -3*h - 4 + 21, 5*t = s*h + 105. Let v = -19 + t. Calculate the lowest common multiple of v and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 452850 divided by 456.\nAnswer: 75475\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.26 - -9.74. Let v = t + -11. Put v, -0.07, 0.3 in descending order.\nAnswer: 0.3, -0.07, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 10 = 3*w. Let p be (w*58\/(-4))\/(-1). Let y = p - 1. Is y a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i**2 - 4*i - 1. Let h(q) = -q**2 - 4*q - 4. Let p be h(-4). Let r be w(p). Let d = -7 - r. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15792564?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 divided by 5.\nAnswer: 43\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/13)\/((d\/(d*d\/((d\/(d*d**(-1\/3)\/d))\/d)))\/d))**(2\/23)\/((d*d**(2\/17))\/d*d\/(d**(-2\/23)\/d)*d*d**(3\/7)*(d**8*d)\/d) assuming d is positive.\nAnswer: d**(-53348\/4641)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -128, -259, -594, -1133?\n\"Answer: -102*d**2 + 175*d - 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -5*z + 11*z + 1575, -2*z - 1555 = -d. What are the prime factors of d?\nAnswer: 3, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -85101750*c**3*x - 3*c**3 - 5247795*c wrt x?\nAnswer: -85101750*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 + 30. Let q be ((-4)\/6)\/(g\/(-105)). Suppose 2*p + 9000006 = -6*h + h, -q*p - 7200015 = 4*h. Round h to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1888 by -4.\nAnswer: -472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 3*k - 4*k - 2*k - 4*k - k + (0 - 3*k + 0)*(5 - 1 - 3) + k - 3 + 3 + (-3*k + 2*k + 2*k)*(0 - 3 + 4) + 0*k + k + k)*(k**3 + 1 - 1).\nAnswer: -8*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 AM and 4:11 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 1451 - 1451 + 13*o**2. Let r(p) = p**2. What is a(r(s))?\nAnswer: 13*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 5*n = 23, -n = 2*o - 7*o + 13. What is the first derivative of 6*t**2 - 4*t**2 - o - 1 wrt t?\nAnswer: 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -136.4*-4.\nAnswer: 545.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 2\/947 (c) 4\/7 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 9 = 14 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.78 - 2.478. Let a = n - -4.908. What is a rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1970*n = -1947*n - 43263. Is 11 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - (9 - 3 - (-1 + (-5 - -8)))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 4 - 22*l - 1 + 0 - l**2 - 2 to the form o + r*l**2 + w*l and give w.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 186.5 + 0.3\nAnswer: 186.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 a when two letters picked without replacement from {c: 1, g: 2, a: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 16 = 16*a - 11*a, 3*a + 21*n = -96 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 k when three letters picked without replacement from fkffkfffffffffkkfkff?\nAnswer: 35\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4.2 and 1070108.33326?\nAnswer: 1070112.53326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1163772.\nAnswer: 2, 3, 32327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14939 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 + (-1 + -2 - -7). Suppose y = -13*d - 4981 + 18657. What are the prime factors of d?\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of -c**3\/6 - 5*c**2 + 2*c. Let z be t(-13). Suppose 0 = z*y - 15, -h = -4*h - 3*y + 24. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 31800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*o + 32865031*o**2 - 32865031*o**2 - 62*o**3 to k*o + p + n*o**2 + g*o**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-4 + 5*(sqrt(153)*1 - sqrt(153) - sqrt(153))*-2 + -4))**2.\nAnswer: -1920*sqrt(17) + 61456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -487 - -137. Let h = b - -347.99. Let j = -0.01 - h. Put -1, -0.2, j in descending order.\nAnswer: j, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 268607 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 5*c - 5, -5*d + c - 2*c - 25 = 0. Sort d, -2, 1 in ascending order.\nAnswer: d, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 42 - 80. Is (t\/(-4))\/((-3)\/(-6)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-242)\/168 + 625\/500)\/((-4)\/30). Factor -j*g**2 - 2\/7*g**3 - 6\/7*g + 18\/7.\nAnswer: -2*(g - 1)*(g + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 807320762?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 j when two letters picked without replacement from mmmmmmmmmmmj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 6*q - 3. Let i = -9 + 14. Suppose -9 - 31 = -i*f. Is k(f) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 + 8*b - 10. Let p be g(-7). Let d be p\/(-300) + 2\/(-8). Is d bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 8) to base 16\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 5 (b) -9 (c) 2\/3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 16 = 3*k + 1, k + 3 = 0. Solve 6 + 2 = o*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 - f. Suppose -7 - 1 = -c. Let w = 12 - c. Let r(s) = -s**3 - 3*s**2 - 2*s + 1. Give w*n(m) - 2*r(m).\nAnswer: 2*m**3 + 2*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1604, 20390, 57046, 108364?\n\"Answer: 7331*l**2 + l - 8936","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/514 and 38\/3855.\nAnswer: 7710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 330 and 4686?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 332125 and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8\/675 - 298969\/4725. Let y be 85 + -20 - (0 + 2). Let v = k + y. What is the second smallest value in v, 1, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(40\/6))\/(1\/(-1)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 9*v**2 - v + 12. Let d be r(9). Let m(t) be the first derivative of 0*t - 1\/6*t**2 + 1\/9*t**d + 2. Factor m(i).\nAnswer: i*(i - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3401?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, -133, 2, 3 in ascending order.\nAnswer: -133, -3, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*m + 204 = -1620. What is the greatest common factor of m and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*n - 4 = -0*w, -10 = -2*w - 4*n. Let l = -85\/371 - 3\/53. Which is the nearest to l? (a) -5 (b) w (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1621 from -0.06.\nAnswer: -1621.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 863 = -873. Sort -0.04, -3\/11, f, -1\/11 in decreasing order.\nAnswer: -0.04, -1\/11, -3\/11, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1897823.4 * -5.\nAnswer: -9489117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -83 - -177. Suppose -2*n = 0, 0 = 5*b - n + 9 - x. Let z = b + 7. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5069 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2899*h + 312*h - 195871 for h.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y, 1 g, and 1 f when four letters picked without replacement from {f: 4, y: 3, g: 1}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181 is divided by (-13282)\/(-232) + (-1)\/4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1)*p*p*p**(-1))\/(p*p**5*p\/p**(1\/8))*(p*p**(2\/5)*(p\/(p\/p**(-13\/2)*p))\/p)**19 assuming p is positive.\nAnswer: p**(-5671\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41.843963 days to weeks.\nAnswer: 5.977709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 396118 divided by 51.\nAnswer: 396118\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 8. Suppose 26 = 4*z + 2*d + x, 3*z - 5*d = 5. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 1\/8457?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -0*u + 2*u + 1619, 0 = -4*q + 4. Let b be 1\/(-3) + u\/(-12). Suppose 2*s = 3*s - b. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -179229, -360031, -540833, -721635, -902437, -1083239?\n\"Answer: -180802*d + 1573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/2*(-201)\/536.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1070508 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seventy-one fifths of a micrometer?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 b when four letters picked without replacement from bbbggb?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 3*f - 6 = 0, 7*f - 5*f = 4 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.642387ug in grams?\nAnswer: 0.000004642387","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60446540 is divided by 1457?\nAnswer: 1438","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yqittyttyktytttiyy. What is prob of picking 3 y and 1 t?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -370 - -370. Which is the third biggest value? (a) -13 (b) 2\/19 (c) g (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 11:07 PM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from orm. What is prob of sequence mr?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 27847609 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(2\/3))**(-1\/20)\/(f\/(f\/f**(-3\/10)*f))**0 assuming f is positive.\nAnswer: f**(-1\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -308*i - 582*i + 1536*i - 617*i.\nAnswer: 29*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**2 + 2*z**2 - z**2)*(-96 - 95 + 78)*(5*z - 7*z - 4*z).\nAnswer: 678*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 343614 + 162?\nAnswer: 344106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -26 and -0.05?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -3. Let n be (m + -18)*1\/(-3). Suppose -p - 174*l + 35 = -173*l, 10*p - 2*l = 230. What is the greatest common factor of n and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 4*((sqrt(220) + sqrt(220) + 2*sqrt(220) - sqrt(220))\/sqrt(11))\/(sqrt(90) + 1*sqrt(90)).\nAnswer: -5 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -10*y + 14. Let k be d(-2). Suppose -306 = -10*x + 7*x. Calculate the highest common factor of x and k.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 8. Let m = 17092 + -17097. Sort 3, d, 4, m in increasing order.\nAnswer: m, 3, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/8 (b) -2\/1001 (c) 0.1492\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + -61?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12912 and 144.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 10 = -4*c, -4*g + 0 = 4*c - 8 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29427 and 2028732?\nAnswer: 1731","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 34888 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 1, 1\/2 in increasing order.\nAnswer: 1\/2, 1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = c, 24 = 4*c - 2954*z + 2958*z for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3*l**2 - 1102*l - 5589. Give x(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 12*z**2 + 5*z + 3. Let q be f(12). Calculate the highest common factor of 7 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.36 + 17.36. Let f = y + -12. Let u(b) = 5*b + 4. Let q be u(-2). What is the smallest value in -5, q, f?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-814)\/(-222) + 4\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -56*j + 124. Does 74 divide h(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1658227 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 1 - (-1 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 487 - 62. Suppose 9*t - g = 1861. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w - 7 = -21. Let a(u) = -3*u**3 - 2. Let d be a(-2). Calculate the greatest common factor of d and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 77 and 693.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, b: 7}. What is prob of picking 2 e and 1 b?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is bb1aa (base 13) in base 11?\nAnswer: 211481","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2333 - -4?\nAnswer: -232b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10001303 (base 6) to base 5.\nAnswer: -32432023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -574*m**3 + 570*m.\nAnswer: -3444*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4\/4 - 193*q**3\/4 + 495*q**2\/2.\nAnswer: -q**2*(q - 5)*(q + 198)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11169 and 4?\nAnswer: -44676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 12:10 PM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 7 + 17. Let k be (-2)\/q - (0 - 65\/25). Suppose 6 = 3*z - 9. Solve -2*i - i - 9 = -k*y, y - z*i = 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 0 = -2*g + 36, 17 = -g - 5*o. Suppose 4*k - g*k - 20 = 0. Let w(b) = -b**2 - 4*b + 7. Calculate w(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -106077218272 - -31.\nAnswer: -106077218241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*i**2 + 10*i - 14*i + 36*i**2 + 4*i.\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 1. Let h(c) = c**3 - 5*c**2 - 6*c - 9. Let r(g) = -h(g) - p(g). Suppose -71*b + 36 = -65*b. What is r(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -238, -828, -2428, -5542, -10674?\n\"Answer: -84*h**3 - h**2 + h - 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ta when two letters picked without replacement from ammttahah?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 14010 divided by -688\nAnswer: -7005\/344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 65681 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 3640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -1. Let g = s + 9. Suppose -298*w + 84 = -286*w. Sort w, 0, 5, g in descending order.\nAnswer: w, 5, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 2*b - 138 - 42, -3*b + 182 = u. Suppose -9 = -p - 11, -p = l - 9. What is the greatest common divisor of l and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-13)\/4)\/((-84)\/(-24))*982. Let g = j - -913. Factor -g - 6*p**2 + 8\/7*p**3 + 6*p.\nAnswer: 2*(p - 4)*(p - 1)*(4*p - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29*v - 23*v - 30 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -40390*s + 847948. Give o(21).\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -98\/967, -1\/4, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 14817.06 to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 3 + 0 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (304 - 36*b**2 - 304)*(2*b - 1 + 1).\nAnswer: -72*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 6:25 PM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 431*h - 19390. Let o be x(45). Calculate the greatest common divisor of o and 3305.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 16*z**3 - 25*z + 3. Let j(c) = 31*c**3 - 51*c + 7. Let b(s) = 3*j(s) - 7*o(s). Find the second derivative of b(w) wrt w.\nAnswer: -114*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -216400 divided by 216400?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1841, 3721, 5585, 7427, 9241?\nAnswer: 11021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 p when three letters picked without replacement from rrrrnxrorvxopporrr?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 13 - 58 = 0. Let o(r) = r + 8. What is the remainder when 65 is divided by o(u)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 1, -3609, 9.\nAnswer: -3609, -6, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -3*s. Let y(n) = -77*n + 138. Let p(q) = -27*q + 46. Let v(b) = 17*p(b) - 6*y(b). What is o(v(x))?\nAnswer: -9*x + 138","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -k - 4*k. Suppose -12*s + 23*s + 11*s = k. Solve -2*p + s*p = -p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -4*q + 11, 0 = -5*q + 4*q - 1. Suppose -2 = t, 8*f + 4*t - 12 = a*f. Let x be (12\/3)\/f - 0. Calculate the highest common factor of 9 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**4 + 8*h**4 - h**4 + (-3 + 3 - h**2)*(27*h**2 + 11*h**2 - 12*h**2).\nAnswer: -22*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 1256773*r - 5027092. Give y(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (13\/(-2))\/(21\/((-2184)\/(-52))). Let r be 5*(-1)\/(-1)*2. Suppose -x - 19 = -4*s + r, -x = s + 9. Is u < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*s - 2853 = 32819. Calculate the greatest common divisor of 49 and s.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21308446 is divided by 4903?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 0.5. Let y = -0.76 + 67.76. Let k = -69 + y. What is the smallest value in k, 4\/3, m?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by 60?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8\/103 - -79\/309. Sort -2\/59, -1.8, g, -0.1 in increasing order.\nAnswer: -1.8, -0.1, -2\/59, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3439 and 681902115.\nAnswer: 3439","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1538*b*d + 191*b - 2562*d - 6959 with respect to d.\nAnswer: -1538*b - 2562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -103 + 152. Let w = -33 + f. Suppose -5*u + z = 9*u - 74, 5*z = -4*u. What is the remainder when w is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.1, -489, 1, 1\/3, 4\/7 in ascending order.\nAnswer: -489, -2, 0.1, 1\/3, 4\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1029))\/sqrt(7).\nAnswer: -14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*v + 189 - 384 + 195.\nAnswer: -28*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63573339 divided by 32.\nAnswer: 63573339\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n - 1. Let p = 19194 + -19195. Let j be ((-4)\/(-6))\/(4\/42). Let z(g) = 1 + j*g - 3 - 3*g. Calculate p*z(b) + w(b).\nAnswer: -3*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of -j**7\/1260 + 13*j**6\/360 - 8*j**5\/15 + 2*j**4 + 1256*j**2. Find w such that x(w) = 0.\nAnswer: 0, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/486 and 47\/28888974?\nAnswer: 86666922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000257189 to 7 decimal places.\nAnswer: 0.0002572","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 6 = -0*r, -3*w - 165 = 3*r. Let p = -47 - w. Is p not equal to 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uyf when three letters picked without replacement from uuuyforu?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4*b + 245 = 0, -321 = -4*d - 5*b + 764. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*s - 37349 - 1987. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 861 is divided by 487.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.6, 2\/5, -0.2, -1 in descending order.\nAnswer: 2.6, 2\/5, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2801560.8 - -2801687.799976. Let t = l - 127. Round t to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*i**2 - 38*i + 38*i.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m**3 + 2*m + 2. Let x(o) = o**3 + o**2 + o + 1. Let c be ((-4)\/(-6))\/((-95)\/(-285)). Give c*x(a) - s(a).\nAnswer: 4*a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(1 + -18)\/(1 - 0). Suppose -2*y - w = -3*s, -23 = -4*s - 3*y + 6*y. Let l = 28 - s. Is 3 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(-2 + -3)\/(-1). Put 1, a, -3 in increasing order.\nAnswer: a, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -3. Suppose 4*p + 2*m - 54 = 0, 17 - 2 = -b*m. Suppose -4*l + p = -33. Is l a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, -48, -99, -154?\nAnswer: -213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.345*-836.\nAnswer: -3632.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*v**4 - 39*v - 1309 wrt v.\nAnswer: -24*v**3 - 39","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 79\/523?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 0.7.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v = -17*v + 40. Let z be ((-3)\/2)\/((-210)\/v). Which is the nearest to 2\/5? (a) -7 (b) z (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000042246 rounded to six dps?\nAnswer: 0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -134357b + 6?\nAnswer: -1343575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 12229 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -42*f + 2. Let a(y) = 8*y - 1. Let r(s) = -5*a(s) - g(s). Let b(t) = t + 4. Give -5*b(x) + 6*r(x).\nAnswer: 7*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 427093624?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 69\/2*2\/(-3). Is -23 less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**3 - 6*l**3 + 3*l**3)*(-173 - 27 - 28)*(0*l + l + 0*l)*(2*l - 4*l + 0*l + (l + l + 0*l)*(-1 + 0 + 3)).\nAnswer: 456*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -149833083.\nAnswer: 1\/149833083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 s when three letters picked without replacement from {y: 1, s: 4, e: 7, l: 6}?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -173.153 to the nearest integer.\nAnswer: -173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -144*q**2 - 7656?\nAnswer: -288*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of -s**3\/3 + s**2\/2 - 4*s - 3. Let i be c(0). Let k be (4\/18)\/(i\/(-24)). What is the biggest value in 1\/3, -4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10100122 + 113?\nAnswer: -10100003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 3*y**2 - 2*y - 9. Suppose 2*w - 4 = -f - 0, f + 20 = 4*w. Determine v(f).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + y - 1. Let z(w) = -5*w**3 + 11*w**2 + 2*w - 2. Let l(v) = -2*o(v) + z(v). What is the third derivative of l(r) wrt r?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8562 - 8561. Let r = -1 + -3. Put 5, r, i, 3 in descending order.\nAnswer: 5, 3, i, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4241 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 3*l = -171, -5*l + 238 = 5*w + 28. What is the smallest common multiple of 20 and w?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = -26*m - 58 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*w - 14*w + 28 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3517461250 rounded to the nearest 1000000?\nAnswer: 3517000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 55724*u + 278629. Determine q(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -11912782, -23825565, -35738348, -47651131?\n\"Answer: -11912783*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -8*m - 540. Let g(y) = -y - 90. Let o(b) = 6*g(b) - t(b). Let v(d) be the second derivative of d**3\/6 - 53*d**2\/2 - d. What is o(v(r))?\nAnswer: 2*r - 106","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m. Let s(l) = 5*l. Let q(v) = 3*s(v) - 7*y(v). Let f(b) = 17*b. Calculate q(f(t)).\nAnswer: 17*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/1568 and 21\/1580.\nAnswer: 619360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (12 - 122)*(-3)\/2?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-787)\/(-3) + 1 - (-4)\/(-12) is divided by 53.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**0)**(-17\/3)\/(u**(1\/3)\/u)**38 assuming u is positive.\nAnswer: u**(76\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5329 * -0.4\nAnswer: 2131.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 28709 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 501075 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6388 is divided by 2111?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/1602 and -2\/267.\nAnswer: 1602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 272*m**3 + 11*m - 180*m**2 - 177*m**2 + 533*m**2 - 176*m**2 to the form p + d*m + j*m**2 + z*m**3 and give z.\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 97700*y + 12 - 195492*y + 97791*y. Let l(x) be the second derivative of -x**4\/12 - 2*x. Calculate l(z(g)).\nAnswer: -g**2 + 24*g - 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2232264 (base 8) to base 13.\nAnswer: 1817bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = -3*d - 4*l, -50 = 5*d + 23*l - 18*l for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -0*v + 8. Let z be (-1)\/v + 168\/16. Let r = -11 + z. Solve r*n - 2 = -2*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 29*r**2 - 27*r + 185. List the prime factors of j(14).\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -4)\/(-4)*(246262\/7038 - 35)?\nAnswer: 2\/207","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - 4*d**2 - d + 5. Suppose 0 = -37*o + 26*o + 44. Calculate y(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29928.05nm in millimeters?\nAnswer: 0.02992805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*u + 2540 + 5920. What is the hundreds digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125344 is divided by 43.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1049773 is divided by 31.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/2*9)\/(-6). Let x = -68.187 + 68.387. Sort 5, -1\/5, x, v in decreasing order.\nAnswer: 5, x, -1\/5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1386.712 + 1381. Let f = -0.802 - j. Let i = -4.90999773 + f. Round i to seven decimal places.\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.3 - -1.7. Let b = 3.2 - x. Let z = 4.799962 + b. Round z to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 7*s**2 - 9*s - 1. Let t(u) = -u**3 - 6*u**2 + 18*u + 11. Let q be t(-8). Let d(m) = 11*m**2 - 13*m - 2. Let v(l) = q*d(l) + 8*r(l). Determine v(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 5*n + 20 = 0, -5*n - 8 = 5*k - 33 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w. Suppose 51 = 13*q + 51. Let t(m) be the first derivative of 24 + q*m + 0*m**2 + 2\/3*m**3. Determine s(t(p)).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/9 and 94\/945.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 9:25 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 287 is divided by 170?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-3*(-5*(sqrt(147) + -2) + sqrt(147)) + (4*sqrt(147)*3 + 3*sqrt(147)*-5)**2.\nAnswer: -252*sqrt(3) + 1413","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 = 4*i - 5*t, 109*i - 5*t + 135 = 114*i for i.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - -2671?\nAnswer: 2664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34730, 69478, 104226, 138974?\nAnswer: 173722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -87*p**4 - 4082*p**3 - 707266?\nAnswer: -348*p**3 - 12246*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12759?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) - 5*sqrt(68)*5)\/sqrt(4).\nAnswer: -24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -0.09, -0.06907?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 0*s**3 + 4*s**3 - 3*s**3 + 4*s**2 + 2. Let u be m(-4). Suppose -2*v + 4*v - u = 0. Which is smaller: v or 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33*-64.93.\nAnswer: 2142.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2198248 and 1.24.\nAnswer: 2725827.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120200010 - 1110121?\nAnswer: 112012112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 != 18467?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ihihhhhhihh. What is prob of sequence hiih?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10071?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.27 and 1651.\nAnswer: 1651.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17302 is divided by 8645?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000010 + -11?\nAnswer: -11000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p**5\/4 + 33177*p**4\/2 - 69335*p**3 + 78366*p**2 - 12056*p = 0. What is p?\nAnswer: 0, 2\/11, 2, 6028","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -9. Suppose -2*c = 3 + y. Let k be (24\/81)\/c*-3. What is the smallest value in 2\/21, k, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 298993 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (14\/(-35))\/((-9)\/(-15)). Suppose -2*d + 50 = 8*d. Let w = 4.05 - 0.05. What is the closest to -0.1 in w, d, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4568357?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uusnxkk. Give prob of sequence nkk.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o, 1 f, and 1 x when four letters picked without replacement from {x: 5, d: 4, f: 5, o: 6}.\nAnswer: 25\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d. Let i(u) = 91*u**2. Determine i(k(c)).\nAnswer: 91*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 70\/1101297 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/2)\/(-1 + 0). Let w = 2\/123 - -76\/369. Let z = 2.6 + -0.6. What is the second smallest value in w, z, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -724353 divided by -3.\nAnswer: 241451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, s: 2, u: 10, c: 3}. What is prob of picking 1 u and 1 c?\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2549495.\nAnswer: 5, 13, 61, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3976486?\nAnswer: 2, 1988243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w**2 + 5*w**2 - 7*w**2 + 0 + 0.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8.491 and -57.\nAnswer: -483.987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 41 = 3*y, -5*y - 9*b = -12*b - 50 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 v, and 2 c when four letters picked without replacement from {q: 2, z: 1, l: 1, v: 1, c: 2, r: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 50290 and 70?\nAnswer: 352030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.9 - 5.4. What is the nearest to -1\/3 in -3, 10, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5\/2, -0.42, 130, -0.2, 1\/9, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 25 = 0, n + 50*c = 48*c + 3994. What is the lowest common multiple of n and 6292?\nAnswer: 44044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3302750413 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + 46. Let g be 61 - -44*(-9)\/(-36). Suppose -5*c - 135 = -4*k, -k + g*c = 73*c - 45. What is the least common multiple of q and k?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110011001 + 1001?\nAnswer: 10110100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 5*c - 2. Let v(b) = 6*b**3 - 20*b**2 - 8*b + 17. Let k(n) = -2*n**3 + 7*n**2 + 3*n - 6. Let s(x) = -11*k(x) - 4*v(x). Calculate s(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -9 + 11 - (-1 + 1). Suppose 44 = m*a + 2*a. What are the prime factors of a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i - 4. Let a be k(-3). Solve -a*w - 2 - 6 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 216*v**2 + 2311*v**2 - 366*v**2.\nAnswer: 2161*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4938660?\nAnswer: 2, 3, 5, 27437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a - 4*a + 2*a)*(49 + 176*a - 49).\nAnswer: 176*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 585, 584, 581, 576, 569, 560, 549?\nAnswer: 536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134 = 5*i - 26. Let p = i - 20. Calculate the highest common factor of p and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190) - 1*sqrt(190)*-3) + sqrt(190) - (sqrt(190) - (sqrt(190) - (sqrt(190) + -1*sqrt(190))*1)))\/((2*sqrt(1960))\/sqrt(4)).\nAnswer: 5*sqrt(19)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(484))\/sqrt(11) - (sqrt(44) + (sqrt(484)\/(1*sqrt(11)) + sqrt(44) - sqrt(44))))\/(3*(sqrt(4) - -5*sqrt(8)\/sqrt(2))).\nAnswer: -2*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2. Let f(b) = 163*b**2 - 531*b - 2. Give f(a(h)).\nAnswer: 163*h**4 + 531*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7312 - 7063. Calculate the highest common factor of 5727 and n.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 887677 * -8\nAnswer: -7101416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 99.2 and -37655\/4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 44757+-0.2\nAnswer: 44756.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 36058.71 meters?\nAnswer: 36058710","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + (-11 + 9)\/(10\/25). Let k = -17 - -22. Which is the nearest to k? (a) 4\/3 (b) x (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 36 + 14 = -r, 3*r + p = 61. Solve -6*w = -w + r for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - -11. What is the highest common divisor of 12 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 1) + 0 + 1 + -3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 2*n + 4*f + 4, 2*n + 5 = -5*f. Suppose 7*u - 3*u - 32 = n. Calculate the least common multiple of 14 and u.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 5*v - 142 + 49, 4*v + 106 = 5*a. Is 6 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3*i**3 + 28*i**2 - 13*i - 2. Let d(j) = -16*j**3 - 141*j**2 + 65*j + 11. Let y(s) = -2*d(s) - 11*p(s). Find the second derivative of y(f) wrt f.\nAnswer: -6*f - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6859996.9 to the nearest ten thousand.\nAnswer: 6860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-12)*(30\/(-3))\/((2835\/(-54))\/105)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 + 2*q + 2. Let p(a) = a**3 - 16*a**2 + 2*a - 38. Let b be p(16). Let s(m) = m**3 - 8*m - 3. Let j(x) = b*d(x) - s(x). What is j(-6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 3*b = 6, 2*i - 2*b - 1 = -5 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-96)\/10 + (-14)\/35. Let y(o) = -o - 10. Let z be y(g). Let q = z + 25. What is the remainder when 49 is divided by q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -6309, -12618, -18927, -25236, -31545?\n\"Answer: -6309*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 325919 is divided by 38.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o + o + 2*o**2 - 1 + 3*o. Let y be -4*(2 - 6\/2). Does 17 divide h(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1164 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1872, -7408, -16634, -29550, -46156?\nAnswer: -66452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84142475 divided by 5.\nAnswer: -16828495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 PM and 4:38 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 163*z - 418. What is g(2)?\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260 is divided by 87.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -48582 or -97163\/2?\nAnswer: -97163\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 234 = 2*k + y + 2*y, -4*y + 351 = 3*k. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 + -15. Which is the closest to 1? (a) r (b) 3 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 652 - 657. Let g = 6.3 - 6. Sort g, d, -8\/7 in decreasing order.\nAnswer: g, -8\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1237224 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -20, -12, -4, 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37731.184 + -37555. What is m rounded to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2051*p + 2038*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29 - 26. Let n(f) = 11*f**2 - 2*f - 5. Let m be n(g). What is the greatest common divisor of m and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 19067, 41686, 64305?\n\"Answer: 22619*t - 3552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of o**4\/12 - 2*o**3\/3 - o**2 - o. Let b be 1*10\/65 - 1831\/(-13). Let w = 146 - b. Determine s(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.6 (b) 2312 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13426824 divided by -3.\nAnswer: 4475608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**2 - u**3 + u**2 + 0*u**3 + 3*u**3 - 4*u**3 + (0 - 6*u + 0)*(2*u**2 + 2*u**2 - 5*u**2).\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r - 1. Let w(d) = -d**3 + 8*d**2 - 7*d + 4. Let g be w(7). Suppose 4*f + 3*k - 9 = 0, g*k + 3 = k. Determine h(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -6. Let w be (g - -2) + 0 + 1. Let h be 112\/(-400)*-40 + 2\/(-10). Calculate the highest common factor of w and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/4*-1*-8. Let w(m) = m + 8. Let v be w(-8). Solve -2*x - 3*y + 5 = v, 5*x - 1 = 2*x + d*y for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 485 - (9\/(-15) - (-112)\/20). Suppose -y - t = -6*y. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 6 = 2*m, -1 = x - 4. Suppose -4*n - 4*b = -1004, -4*n + 2*b + 1022 = -m*b. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 13 = -17. Suppose -5 = q*x - 5*x. Let i(k) = k. What is i(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 + -26 + -16 - -29) + 1 + 2?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -412905718 divided by -4366?\nAnswer: 94573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 - 3*k + 2. Suppose 25*u - 60 = 21*u. Calculate the remainder when y(-5) is divided by u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0449 + -0.5551. Do -90 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -2*u + 8, 6*r - 5*u - 28 = 3*r. Suppose 3*s = -r*a + a + 53, -3*s - 7 = -a. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*c + 334 + 547 + 687 = 0 for c.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 10*p. Let l(f) be the third derivative of f**4\/24 + 9*f**2. Give l(w(d)).\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 126 and 1281?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 60092490*z**4 + 17171665.\nAnswer: 240369960*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011011 + 1011?\nAnswer: -11010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -10001010100111?\nAnswer: 10001010100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2. Let v(r) = -25*r**2 + 11*r. Let b(k) = 5*k**2 - 2*k. Let f(c) = -22*b(c) - 4*v(c). Determine f(u(y)).\nAnswer: -10*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 755*c**3*g**3*t - 50*c**3*g**3 - 5554*c**2*g**3*t + 66*c*g**2 - 2*g**3 - 50 wrt t?\nAnswer: 755*c**3*g**3 - 5554*c**2*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -95, -427, -995, -1799, -2839, -4115, -5627?\n\"Answer: -118*j**2 + 22*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.4356 + 0.0644. Which is the nearest to -7? (a) -5 (b) i (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -182\/438509 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j + 5*c + 5, -4*c + 4 = -5*j + 12 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 748060 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 107 and 18265756.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, h: 1, g: 1, v: 7, d: 5, c: 5}. What is prob of picking 2 v, 1 h, and 1 c?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1486 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1150343 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of -2*x - 15 - 1\/30*x**6 - 37\/12*x**4 + 0*x**2 + 0*x**5 - 101\/6*x**3. What is the second derivative of f(m) wrt m?\nAnswer: -12*m**2 - 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x - 1. Let v be g(-8). Let t = v - -21. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.96 - 0.04. Let n = 9 + -8.9. Suppose k + 24 = -q - 4*q, -2*k + 22 = -4*q. Which is the nearest to 0.1? (a) k (b) n (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1217 + 610 - 397*a**2 + 611 to the form l + d*a**2 + m*a and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -92 - -826\/9. Let f = 4079\/95 - 201\/5. Calculate the common denominator of z and f.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m + 7*t + 230, 5*m - 140 + 584 + 144 = -17*t for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-6)\/(((t*(t*t\/t**1)\/t)\/t)\/t*t))\/(t**(3\/7)*(t*t\/(t*t*t\/(t*t**(2\/21)*t)))\/t) assuming t is positive.\nAnswer: t**(-137\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -6*j + 7. Let w be n(-6). Let z = 602 - 516. What is the greatest common factor of w and z?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 327715 is divided by 1252?\nAnswer: 943","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 63 - 57. Let -q*o - 8*o**3 + 4*o**3 + 2*o**3 + 10*o**2 - 2*o**4 = 0. What is o?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - 12*w**2 + 63*w - 1150. What is the remainder when i(15) is divided by 96?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 309089, 309282, 309475, 309668, 309861?\n\"Answer: 193*r + 308896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/2265 and 23\/13693284.\nAnswer: 68466420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + p = 0. Let i be p\/((-3 + 2)*-2). Let a = -29 + 49. Solve i*o = 2*s - 5*o - 20, -s + 5*o = -a for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2548) + (-6*(sqrt(2548) - sqrt(2548)*2) - sqrt(2548)))\/(sqrt(484)*5*2 + sqrt(484) - sqrt(484)).\nAnswer: 21*sqrt(13)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 106563083 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -2012 < -2012?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 8243, 66394, 224451, 532436, 1040371, 1798278?\n\"Answer: 8337*c**3 - 69*c**2 - c - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1059.6 to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10711\/6 - -74497\/42. Is x greater than or equal to 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 109*l - 5785. What is m(53)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 2*g - 8*g. Let i(s) be the first derivative of 1\/3*s**3 + 0*s**2 - 3*s + g. Find the first derivative of i(w) wrt w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1741685 is divided by 290275.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 + -9)*(-2)\/4. Suppose j*n - 9 = -0*n. Suppose 0 = 2*g - 13 - n. Calculate the remainder when 22 is divided by g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 23 + -67 + 134 + -6.\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/979 (b) 65\/32 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/4 in 3, -2\/5, 52, 2, 19\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 267026581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h - 3. What is the lowest common multiple of 4 and d(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -170*b*f**3*y**3 - 5*b*f**2*y - 35*b*f*y**3 + b*f + 3*b*y**3 - 57*f**3*y**3 - f**2*y**2 - 52*f*y**3 wrt f.\nAnswer: -1020*b*y**3 - 342*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 39 = -s, 0 = -3*s - s + x + 128. Suppose 4*d - 60 = -2*b, 3*d - b - b - s = 0. List the prime factors of d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {t: 17, r: 3}?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*p**3 - 35*p**2 - 81*p**2 + 2 + p**3 + 76*p**2 in the form i*p + r + v*p**3 + s*p**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3201 is divided by 56?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 - 1 + 53*t - 51*t.\nAnswer: 2*t - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*((-2)\/(-15) + 1962\/(-540))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -116.298 + 116. What is u rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(68) + 2*sqrt(68)*2)*-2)\/((1*sqrt(96))\/sqrt(6)*1).\nAnswer: -20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 18*f**3 + f**2 + f + 1. Let y(r) = -r**2 - 12*r - 18. Let p be y(-10). Is d(p) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -97 + 81. Let s be (88\/w - -7)*2. Solve 5*o - 2 = -4*b + s, -4*o = 2*b - 10 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 3 = 3*o, 3*c - 3*o - 19 = 2*c. Suppose 0 = c*r + r - 100. Let t be -2 + (r\/(-5))\/(-2). Put t, 2, 1 in increasing order.\nAnswer: t, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36416\/(-1088) + 152\/323?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*m - 141 - 211 + 464 = 0 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 176293672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2171902*b**2*f - 4503341*f wrt b?\nAnswer: 4343804*b*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -85 + 169\/2. Which is the second smallest value? (a) 4\/9 (b) k (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12088282 to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + 11*p - 2*p**2 + 1 + 3*p**2 + 3. Let w be t(-7). Solve -24 = 4*g + 4*n, -5*n + w = -10*n for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p - 41. Calculate w(20).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -3, 60, 31, 5, -4 in ascending order.\nAnswer: -4, -3, 5, 6, 31, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -138 - -3847\/28. Let w = 6\/7 + n. Let t = 55 - 54.6. What is the fourth biggest value in -0.1, w, t, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 498 divide 280716?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 5:24 PM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 727, -448, -3521, -8498, -15385, -24188?\nAnswer: -34913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 273868.\nAnswer: 2, 7, 9781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -0.5, 38, -3\/7, 131?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1576886.\nAnswer: 2, 17, 19, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 133133457269 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 697 + -695. Let k(s) = s**4 + 10*s**3 + 4*s**2 + 2*s. Let u(f) = -f**4 - 2*f**2 - f. Let r(g) = p*u(g) + k(g). Factor r(x).\nAnswer: -x**3*(x - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 6:17 PM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*k**2 - 3 + k**2 + 3.\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 152157?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 7 = 12 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 - 33*f + 193. Calculate d(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74 = -2*v + 4*n, 3*v - 5*n - 34 = -94 - 46 for v.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 367893?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -4*q - 13 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, a: 3}. What is prob of sequence aana?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 289280 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -424.4 - -424. Let p = -3 + 8. What is the nearest to 2\/5 in p, m, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to 8\/49599?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 56743817 to the power of 1\/3, to the nearest integer?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42107437?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*u + 5 - 5 in the form k*u + i and give k.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5249258 + 5249258 - 2*r**2.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 281971 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 103 + -87. Is 12 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33\/2 - 19. Let x = -6 + 2. Let r be ((-8)\/(-15))\/(x\/6). Which is the second biggest value? (a) r (b) -7 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(-3) - (-9)\/3. Find k such that -2\/15 - 8\/15*k - 4\/5*k**2 - 8\/15*k**f - 2\/15*k**4 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4246 * -55.\nAnswer: -233530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 0 = -7*k + 5, -3*u = 4*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 44 (b) -2\/9 (c) 0.55 (d) -1\/9 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of -5*a**4\/36 + 1990*a**3\/9 - 396010*a**2\/3 + 1151*a. Factor c(p).\nAnswer: -5*(p - 398)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/3 or 832?\nAnswer: 832","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 14 = -d + 76, 0 = -3*q - d + 133. Suppose -q = -m - 0*m. What is the remainder when m is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 157225 and 156028?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of g**4\/12 - g**3\/2 - 3*g**2 - 2*g. Let f be a(6). Factor 12 - 8*v**2 - 2*v - f.\nAnswer: -2*v*(4*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l - 23. Calculate f(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 19 - 1) + (4 - (1 - 0))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 32315 a multiple of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 14 = r - 4*m, -3*m - 18 = -r. Suppose 2*g = -g + r. Suppose -180 = g*n - 7*n. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/2*(-8)\/(-3). Which is smaller: h or 6?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 0.3, 13, -0.4, 0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of -37*q**7\/42 - q**5\/20 - 895*q**4\/12 - 356*q. Find the third derivative of a(h) wrt h.\nAnswer: -2220*h**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -a7c5c (base 13) in base 2?\nAnswer: -1001001111111110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c - 1. Let u(h) = -h - 3*h - 1 + 3*h - 1. Let o(p) = 2*n(p) - u(p). Let q(f) = -f**2. What is q(o(k))?\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -830, -845, -864, -887, -914?\nAnswer: -945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 y, and 1 v when three letters picked without replacement from {v: 1, y: 1, a: 2}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146095682*j - 146095682*j - 7*j**3.\nAnswer: -7*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18284663?\nAnswer: 103, 167, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*m**2*y**2 - 8*m**2*y - 2566*m**2 - 20*m*y**2 with respect to y.\nAnswer: 4*m**2*y - 8*m**2 - 40*m*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4510 = -34*r - 124. Is r < 129?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 899 is divided by 222?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2651319, -2651327, -2651337, -2651349, -2651363, -2651379, -2651397?\nAnswer: -2651417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 3)*(-3*o + o - 1 + o) + (10*o + 7*o - 24*o)*(-1 - 2 + 4).\nAnswer: -6*o + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3234*n**2 + 3196*n**2 + 299 - 269 to the form y + x*n + q*n**2 and give q.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 8*z = 6. Is z a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-75*u**2 + 45*u**2 + 41*u**2)*(-24 + 8 - 6) + 6*u**2 - 4*u**2 - u**2 to the form o*u**2 + c*u + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2)\/((54\/(-69))\/3) and 6\/(-4) - 45\/70.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 - 6*h - 2. Let c be s(-7). Let v be c\/2*26\/(-39). What is the units digit of v\/15 - 128\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 9) to base 13\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -100 - -106. Let v be (2 - (-25)\/(-15))*x. What is the first derivative of -34*t**3 + 35*t**2 - 35*t**v + 24 wrt t?\nAnswer: -102*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 189956087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52 and 1020981?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -459*p = 4201 + 853 + 1831 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a micrometer in nanometers?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 times -54?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**3\/5 - 95*j**2 + 965*j - 2425 = 0. What is j?\nAnswer: -485, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -15.8 from 3.7902.\nAnswer: 19.5902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3)*(-666*k + 666*k - 33*k**3) + 0*k + 2*k**3 + 0*k + (k**2 + 2*k**2 - 4*k**2)*(-2*k + 3*k - 2*k).\nAnswer: 69*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 936862.7 millilitres to litres.\nAnswer: 936.8627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 46 - 4 = 2*d, 4*i + 21 = d. Suppose 0 = s + 2*t - 298, 4*t + 81 + 199 = s. Calculate the remainder when s is divided by d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -354 - -354.06. Let r = 0.8 - 0.5. What is the biggest value in 0.1, x, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 33\/5 of a gram?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of -t**6\/120 + t**5\/10 + t**4\/12 - 5*t**3\/6 - 14*t**2. Let o be a(6). Solve -o = -k - 4 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of l**5\/10 + l**4\/12 + 2*l**2. Let r(b) = -7*b**2 + 2*b**2 - 2*b**2 - 3*b. Give -4*r(z) - 5*y(z).\nAnswer: -2*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 4*j**2 + 1. Calculate q(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*q**4 + 20214*q**3 - 34*q**2 - 73467643 wrt q.\nAnswer: -8*q**3 + 60642*q**2 - 68*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of -n**7\/14 - 13*n**4\/12 + 10*n. What is the third derivative of w(r) wrt r?\nAnswer: -180*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 52\/(6\/(-4) - -1). What is the least common multiple of (130\/o)\/(10\/(-16)) and 31?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 89*x - 85*x - 20, 10 = 4*h + 2*x. Solve h*y = 34*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6125.000042264 + -6125. Round y to six decimal places.\nAnswer: 0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/33)*u*u*u)\/((u**(-10\/3)\/u)\/u) assuming u is positive.\nAnswer: u**(91\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18.84848 litres?\nAnswer: 18848.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 156?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 2808064419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 + 1. Suppose -g = 2 - 4. Let d(x) be the second derivative of x + 0*x**3 + 0 - 1\/20*x**5 + 3\/4*x**4 + 9\/2*x**g. Determine -2*d(h) + 18*f(h).\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 405 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2\/7 + 1276*m\/7 - 1280\/7.\nAnswer: 4*(m - 1)*(m + 320)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q + q**4 + 3*q + (-2 - 2*q**3 + 2)*(41*q - 19*q - 20*q)*(3 - 4 - 3).\nAnswer: 17*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -454 - -468. Solve 0 = 4*a + 6*s - 4*s + t, -4*a + 4*s = 20 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -8 and -7774.\nAnswer: -7782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -s - 62, 4*s - s = -6. Let p be 3\/(-25)*(-35)\/u. Is p at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -213 and 636.1.\nAnswer: 423.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26 (base 8) to base 2.\nAnswer: -10110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3978 or 3968?\nAnswer: 3968","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c. Let b(n) = 3*n - 5. Let y(l) = -b(l) - g(l). Let d be y(8). Let p be 3 - 1 - d\/(66\/(-16)). Which is greater: p or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 16*t**2 - t + 1. Let p be (3 - -7) + 3\/(-1). Suppose -k + p = 6*k. Give b(k).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 12 (b) -1\/2 (c) -21.57 (d) -23 (e) 0.7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -699 + 1341. Is y a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 11\/8 + -1 - 10608\/(-11648). Let 3\/7*r**2 - 12\/7*r + u = 0. Calculate r.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*(r*r\/(r**(2\/17)\/r))\/r*r)**(-39)\/((r*r**(-4)*r)\/r)**(2\/31) assuming r is positive.\nAnswer: r**(-100245\/527)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3 + -0.7. Let t be (-1)\/(-3)*4\/(-4). What is the third biggest value in t, z, 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-20)\/(-15)*3 - 0. Solve -a*q = -4*b + 4 + 8, -2*b + 6 = -3*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-18)\/(-8) - 1)*16\/2. Suppose -4*s - 960 = 3*q, -13*s - 749 = -l*s - 5*q. Which is smaller: -244 or s?\nAnswer: -244","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 4*i + 14 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(sqrt(110)\/(sqrt(11)*1))*5.\nAnswer: 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + 0)\/((-332)\/(-334) + -1). Suppose -9*a + 130 + k = 0. Calculate the greatest common factor of 11 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j - j - 5*z - 19, -4*j = -4*z + 4. Let k(b) = -b**3 - 4*b**2 - 2*b - 4. Let u be k(j). Suppose u*l - 124 = -0*l. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 595*d**6 + 3*d**4 - 6*d**3 - 3*d**2 - 2617.\nAnswer: 71400*d**3 + 72*d - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 12*r**2 + 17*r + 12. Let a be q(-13). Let i = a - -51. Let l(o) = o**3 - 11*o**2 + 4. Calculate the lowest common multiple of l(i) and 67.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(3\/((-3)\/(-2))). Let a = 17\/2 - 7. What is the nearest to d in -2\/5, 1\/7, a?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -7 + 42\/(-7) + 24. Suppose -4*m + 5*l = -p, 18 = 3*m + 5*l + 1. Solve 0 = -4*g + m - 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/7 (b) 8 (c) 3848077\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3430 is divided by 38?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*3 + 234\/9. Suppose 4*x = 5*o + q, 4*o = 3*x - o - 16. Let h = 8 - x. Solve 4 = -5*y - h for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-5) - (-18)\/(-45))*(-27 - -3 - -9)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 456670?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = c + 8, c - 7*u - 40 + 46 = 34 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -19 + 5 - -5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 7*q**3 - q. Let v be r(-1). Let w be (-4)\/(-6) + (-86)\/v. Let l = -42 + 207. Calculate the highest common factor of w and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6.218, -12, 0, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 divided by -765?\nAnswer: -29\/765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/2748 and -83\/16?\nAnswer: 10992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -58*m + 28*m + 27*m + 20. Let u be r(0). Solve -3*b + 12 = 5*j, 0 = 5*j - 2*b - 3*b + u for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 247 a factor of 145483?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -97. Let h = l + -145. Let y = h - -47. Which is the nearest to y? (a) 1 (b) -0.11 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57) - sqrt(2052)*1)\/(sqrt(3) - ((sqrt(108)*-2 + sqrt(108) + sqrt(108) - sqrt(108)) + sqrt(108) - sqrt(108) - sqrt(108))).\nAnswer: -5*sqrt(19)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**6\/f)**(-1\/28))**1 assuming f is positive.\nAnswer: f**(-5\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 404 - 174 = 46*x. Let q be (8\/(-12))\/((-2)\/9). Put q, 2, -5, x in decreasing order.\nAnswer: x, q, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -z + 4. Let i = -9 - -15. Let d = i + 0. What is the highest common factor of d and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 136267a (base 14) to base 6.\nAnswer: 533015112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 32 - 84 = -4*r, 2*o - 2*r - 10 = 0. Let k be 132\/o + 1\/3. What are the prime factors of (k\/(-2))\/((-6)\/16)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -38084, -38077, -38070, -38063, -38056, -38049?\n\"Answer: 7*j - 38091","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (288*q**2 - 19*q**4 - 288*q**2)*(-108*q + 24*q + 11*q).\nAnswer: 1387*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-4\/7))**11*(j*j**(1\/34))\/j**(-38) assuming j is positive.\nAnswer: j**(7793\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 869*n - 52 = 865*n for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/16, -297453, 0.3 in decreasing order.\nAnswer: 0.3, -3\/16, -297453","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -17350177\nAnswer: -3\/17350177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 580 a factor of 2018980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7035 and 840?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9*l**3*z + 4180*l**3 - 2*l**2*z + l*z + 195*l + 3235*z wrt z?\nAnswer: 9*l**3 - 2*l**2 + l + 3235","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3669 - -51313\/14. Is h < -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 14 + 11. Suppose 7*x - 4*x = -15, -f*q - 5*x = -210. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.714194 - -0.732. Round s to 3 decimal places.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -42142 equal to -42142?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0159 rounded to two dps?\nAnswer: -1.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 6 - 3. Suppose 2*w - 5*g - 204 = 0, -v*w - 6*g + 4*g + 344 = 0. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1115161194?\nAnswer: 2, 3, 7, 26551457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -7 (b) 1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*c**3 - 7*c**3 - 10*c**3.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*m, z + 10*m - 12*m = 150. Find the first derivative of z + 1407*f**2 + 1421*f**2 - 2861*f**2 - f wrt f.\nAnswer: -66*f - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 23*j + 580. Let b(u) = 5*u + 145. What is -9*b(q) + 2*h(q)?\nAnswer: q - 145","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -83*t - 29. Let w(z) = 47*z + 16. Let m(x) = 5*d(x) + 9*w(x). Let b(g) = 4*g - 1. Determine 10*b(u) - 6*m(u).\nAnswer: -8*u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1719 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 + 3*q. What are the prime factors of k(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -68.2 + 54. Let y = 17.2 + i. What is the nearest to 2 in 1\/6, -0.2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1040*g - 3 - 2 + 1 + 3 - 1039*g.\nAnswer: g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from nkeneeoeb?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 234.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 47 + -53. Let t be 25\/((m + 5)*-1). Suppose 22*d = t*d - 108. What is the remainder when d is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 5*m**2 + 5. Let p be r(5). Suppose 52 - 17 = p*k. Calculate the remainder when 26 is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 617.07879s to days.\nAnswer: 0.007142115625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 138?\nAnswer: 5\/138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2691036774 to the power of 1\/5, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 43024019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -194 - -194. Suppose -61*y - 4*a = -59*y, -5*y + 5*a = -15. Let d = 14.8 + -0.8. What is the closest to y in 1, d, w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 + 2*d - 3. Let s be g(-4). Solve 0*b - 15 = s*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1711*1.9814\nAnswer: -0.33901754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 9*u = -34 + 64, 5*u - 8 = -4*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of -k**4\/12 + 20*k**2. Let m(b) = 16*b. What is h(m(j))?\nAnswer: -32*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, v: 9}. What is prob of picking 2 v and 2 a?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -340 + 322. Is -18 >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2226\/(-16) + 20\/160. Let u = f - -142. Sort -1, 0, u, -4.\nAnswer: -4, -1, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h**2 + 7*h + 4. Let g(s) = -15*s**2 - s - 73 + 145 + 30*s**2 - 73 - 16*s**2. Let w be 1*(-2 - 3\/1). Give w*g(f) - j(f).\nAnswer: 3*f**2 - 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/11 + 16348*m\/11 - 114338\/11.\nAnswer: -2*(m - 8167)*(m - 7)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 5*o - b + 2223, -2*b + 2207 = -5*o. Suppose 8996 = 21*k - 5032. Let m = o + k. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19542 + 19558. Solve 2224*u - 2232*u = c for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 948 + -910. Let w(t) = -t + 2. Calculate the smallest common multiple of j and w(-4).\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9b5 - a9?\nAnswer: 908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3018 + 2998 + 2998 - 12015 + 37*l + 3001.\nAnswer: 37*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/12 (b) 0.2 (c) 460\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(342)\/sqrt(2) - (sqrt(38)\/sqrt(2) + -3))*2*2)**2.\nAnswer: 3072*sqrt(19) + 21760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -86.863 and 0.3.\nAnswer: -26.0589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, m: 5, c: 1, q: 2, n: 1, h: 3}. What is prob of picking 1 c, 1 n, 1 r, and 1 h?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -68 - (-32 - 15 - -19)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69247 is divided by 250?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9969 is divided by 175.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 6*i**2 + 5*i - 5. Let x(w) = 2*w**3 - 2*w**2 - 4*w - 3. Let l be x(-2). Let y = l - -27. Is t(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -77, -213, -403, -647?\nAnswer: -945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32 + -54. Let h = r - -47. Solve 0 = -5*w - 3*u + h, -w + 2 + 20 = 4*u for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11062565.\nAnswer: 5, 257, 8609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 808*c + 6625 + 13976 = 45*c for c.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1089, -4322, -9715, -17274, -27005, -38914, -53007, -69290?\n\"Answer: -l**3 - 1074*l**2 - 4*l - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -107.829 - -149.73. Let g = f - -0.099. Let z = g - 32. Are -0.1 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1 (b) 7 (c) -26 (d) -2336 (e) -2\/7 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -721*t**2 - 698*t**2 + 1243*t**2 - 1 in the form d*t**2 + x + h*t and give d.\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-18)*(10\/8*-2)\/(2425\/(-71780))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2713 equal to -583133\/215?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1194*z - 1203*z - 128 = -11 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2736*c + 2771*c - 1050. Calculate the remainder when 84 is divided by c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 276 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 - 2*i - 5. Suppose 10 = 3*j - 2. What is z(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -425527107*v**2 + 212763561*v**2 + 212763563*v**2.\nAnswer: 17*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 3*a + 265, 5*w + a - 179 = 86. Is w even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 14 and 3141?\nAnswer: 3127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*d**3 - 15*d**2 + d**2 - 4*d**3 + 2*d - 2*d**3 to y + t*d + b*d**2 + o*d**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27.8 - -13.14. Let i = -10 + 25. Let x = m + i. Round x to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 22.66872l?\nAnswer: 22668.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-410)\/(-2665))\/(7\/13)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2027347?\nAnswer: 7, 509, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/5)*s)**(3\/4)*s**(1\/5)*s\/s**(-8))**(3\/11) assuming s is positive.\nAnswer: s**(123\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 less than or equal to 0.006?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, 0, 12, 5 in descending order.\nAnswer: 26, 12, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 10*t = 6*t + 24, -40 = -5*s - 3*t for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 22*n**3 + 343.\nAnswer: 66*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-4\/3)*d)\/(d\/d**(-1))*(d\/((d*d\/d**(-2\/5))\/d))**5)**(2\/97) assuming d is positive.\nAnswer: d**(-26\/291)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1580 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 11:51 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 3*b**4 - 78*b**3 + 327*b**2 + 2340*b + 2700 = 0.\nAnswer: -2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27 + -25. Suppose z + 4*s = n*z - 105, -3*z - 3*s = -285. Suppose -b - b = 5*w - 135, 2*b = 3*w - z. What are the prime factors of w?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -3*n**2 + n + 8*n**2 - 5*n - n**3. Suppose -15 - 1 = -4*q. What is o(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, n: 17}. What is prob of sequence nnn?\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5 and 3.38.\nAnswer: 8.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m**2 - 73*m + 32*m + 41*m.\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.7 * 842.6.\nAnswer: 589.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)\/(sqrt(9)*-1))**2 + (sqrt(1216) + 0 - sqrt(1216) - sqrt(1216) - sqrt(1216)) + (sqrt(304) - (2 + sqrt(304)*2))**2.\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3034141 + 433792 - 91791 = 242*t. Round t to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a week in seconds?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 8*y + 43. Let p be a(-5). Let q be 1\/(2 - (-10)\/(-6)). Suppose 0*f - q = -p*f. Calculate the remainder when f is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (914*k + 346*k - 18*k)*(2 - 4 - 2)*(k**4 - 4*k**4 + 4*k**4).\nAnswer: -4968*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 377 = -h - 8*o, 5*o = 5*h + 1915. Let l = h - -388. Calculate the smallest common multiple of l and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 72 - 51. Let n = 49 - y. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -21*g**4 - 1896*g**3 - 43065*g**2 - 12150*g = 0?\nAnswer: -45, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -360163\/17 + 21186. Which is the third biggest value? (a) 30 (b) w (c) 2\/5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -3*a - 24, -307*m + 308*m + 2*a + 13 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 450212613 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) -111 (b) 4 (c) -3.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 687 = 223474\/325?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 50 - 35. Suppose 0 = -4*b - 4*z - 820, 0 = 5*b - 2*z + 72 + 918. Let n = b - -335. What is the highest common divisor of r and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -13*c + 71. Let p(l) = 4*l - 20. Let g(n) = -4*o(n) - 14*p(n). Calculate g(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 q, and 1 m when three letters picked without replacement from {b: 2, q: 1, s: 1, l: 1, e: 1, m: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 14146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/14 + 16\/7. Let n(p) = -1 + 2 + t*p - 1. Let c(d) be the third derivative of d**5\/20 + 5*d**2. Determine n(c(y)).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3975 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + l = 57 - 68, 15 = -5*l for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 758440014 by -6.\nAnswer: -126406669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/3)*n*((n**(-2\/3)*n)\/n)\/n)\/(n**(-1))**(-19\/3) assuming n is positive.\nAnswer: n**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 5*v + 741*v**3 + 723*v**3 - 1533*v**3 + v**2 + 4. Let i be y(-1). What is the highest common divisor of 23 and i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s**3\/3 + 384000*s**2 + 27648000000*s = 0. What is s?\nAnswer: -144000, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -804.087719 rounded to two dps?\nAnswer: -804.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = 4*u - 31*u. Let k(x) = 3*x**3 + x**2 - 3*x - 2. Let q(o) be the second derivative of o**5\/20 - o**3\/6 - o**2\/2 + o. Determine u*q(l) - k(l).\nAnswer: -l**3 - l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -19449551?\nAnswer: 58348653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7440 and 7440?\nAnswer: 7440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -262*y**4 - 21*y**3 - 4725*y**2.\nAnswer: -6288*y - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 3*c**2 - 18*c - 5. Let b(t) = 2*t**2 - 18*t - 4. Let d(g) = 5*b(g) - 4*y(g). Let p(s) be the first derivative of -2*s**3\/3 + 5311. Calculate p(d(q)).\nAnswer: -8*q**4 - 144*q**3 - 648*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 383014?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/((-4)\/5)*2\/(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/195948 and -13\/32.\nAnswer: 1567584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 1:51 AM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pk when two letters picked without replacement from kkkkkkkkkpkk.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 + 2 - 1 + 3 + p + 4*p. Calculate a(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + -320123312?\nAnswer: -320123322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18067, -6895, 4277, 15449, 26621?\nAnswer: 37793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 568609, 1137217, 1705825, 2274433, 2843041, 3411649?\n\"Answer: 568608*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + (-12 + (-3 - -9) - (-2 - -2)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2521, 2532, 2543?\n\"Answer: 11*p + 2510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*c + 611 = 111 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163 + 2 = 3*i - p, 0 = -5*i + 3*p - 271. Let r be (-689)\/i - (0 + 0). Solve t - 8 + r = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 842664 to the power of 1\/2, to the nearest integer?\nAnswer: 918","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -5. Let o = g + 6. Let p = -24856 - -24852. Which is the fourth biggest value? (a) -2 (b) -0.4 (c) p (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -70*m - 3*u - 974, -2*m - 260*u - 24 = -258*u for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -424976136615145\/39536 - -10749092896. Let l = -2\/2471 + d. Let r = 7283\/1550 - -1\/775. What is the common denominator of l and r?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v + 47. Let b be u(-20). Let g(w) = 29*w**2 + b*w**2 - 55*w**2. Let o(c) = 7 + 28*c - 7. Calculate g(o(r)).\nAnswer: 784*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**2 + 3*k**2 + k**3 + (4*k**3 - 6*k**3 + 3*k**3)*(-3 + 2 + 0) + 10*k**3 + 5*k**3 - 7*k**3.\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 51 + -360\/7. Which is the third smallest value? (a) 2\/3 (b) m (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (25\/(-15))\/5*0. Suppose -2*f - 4*k = -42, v*f = -5*f - k + 60. Do 8 and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35 and 6610.\nAnswer: 46270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 361 + 97. Let x = 139 + b. Suppose -3*p + 43 + 41 = 2*g, p = 5*g - x. Is g a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/392 and -38\/147?\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - 11. Let c = 2 + i. Sort 1\/7, 1, c in increasing order.\nAnswer: 1\/7, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 + 6*i**2 + 9*i**2 - 13*i**2. Let d(z) = 34*z**2. Calculate d(o(b)).\nAnswer: 306*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1865849 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 16*j = -176. Find the second derivative of 7 - 1 - 5 - j*i - 43*i**5 - 6*i - 2 wrt i.\nAnswer: -860*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -n - 2. Let d be n\/((-1)\/(9\/6)). Let o = 13 + -8. Solve 2*b = -j - 5, o*j = -3*b + d - 14 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - 7*t**2 - 6*t + 6. Let o = 46 - 21. Suppose -4*u + u + 88 = 2*x, u - o = -5*x. Suppose -3*m = -8*m - u. Determine a(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 11*h**2. Let n(u) = -6*u**2 - 4*u - 4. Let l(g) = -5*g**2 - 3*g - 3. Let q(v) = -4*l(v) + 3*n(v). Calculate r(q(z)).\nAnswer: 44*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - v**2 - v. Let x(m) = 3*m**3 + 4*m**2 + 6*m + 7. What is -6*u(c) - x(c)?\nAnswer: 3*c**3 + 2*c**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 - 24*r - 84. Give m(-10).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3)\/(p*p**(-3\/7)))**3*(((p*p\/(p*p**(2\/3))*p)\/p)\/p*p*p**(-3\/5)*p)**(-50) assuming p is positive.\nAnswer: p**(-995\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -46*j**4 - 29*j**2. Let t(s) = 69*s**4 + 43*s**2. Let u(c) = -5*t(c) - 7*x(c). Find the third derivative of u(l) wrt l.\nAnswer: -552*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9299 is divided by 50.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/2)\/d**(-8))\/(d\/d**(-8)*d*d**3\/d)*((d**(-12\/11)\/d)\/d*d*d**(-12))**(-1\/53) assuming d is positive.\nAnswer: d**(-3771\/1166)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**7*(t*(t*(t*t**(7\/2)\/t)\/t)\/t)\/t assuming t is positive.\nAnswer: t**(19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/2)\/(1\/2). Let r be 26 - c - (-3 - -1). Is (-2)\/6*r\/(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t - 3*t + 3*t + (5 + 0 + 0)*(5*t + 12*t + 3*t + (2 - 2 + 1)*(2 - 2*t - 2)).\nAnswer: 92*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a micrometer in nanometers?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 4, 4*j = -x - x. Solve 3*u = -8*o + 3*o - 7, o = -u - j for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/5 + 81\/15. Solve 4*x - 2 = w*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 + 87 + 1 + 11)*(-5 + 5 - 2*k).\nAnswer: -162*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 3*b - 2320 = -2335, 0 = b - 3 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(1\/4)\/(i\/(i**(-2\/7)*i)))\/(i\/(i\/(i**0\/i)))**(-16))**46)**39 assuming i is positive.\nAnswer: i**(-402753\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 192\/112 - 6\/(-21). Is (-6 + (-18)\/21)\/(q\/(-91)) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 882 and 432708.\nAnswer: 63608076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 29473 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 minus -2.31?\nAnswer: -36.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -118*v + 45. Let q be w(-7). Let m = q - 579. List the prime factors of m.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16522279139 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 32021 (base 4) in base 13?\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/7 and 28793 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1399 + 1406. Solve -2*h - w = -9 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f + 5. Let y be v(-2). Let a(u) = u - 1. Let i(k) = -2*k. Let b(p) = 3*a(p) - i(p). Let m be b(2). What is the greatest common factor of y and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 837913133.\nAnswer: 47, 17827939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 55 = 45. Let x be (-1*6)\/(k + 21). Is -4 greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19637 - 68415. Let l be (g\/(-87))\/((-2)\/(-111)). Let c = l + -560243\/18. Calculate the common denominator of 113\/6 and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52457, 52452, 52447, 52442, 52437, 52432?\nAnswer: 52427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 41*c + 351 - 48 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2702 + -21565\/8. Let n = 7\/2556 + -144449\/12780. Calculate the common denominator of z and n.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56\/(-70)*(-500)\/40\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.084 - -39.69?\nAnswer: 39.606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = -10*g - 3 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 - 9*g**2 + g + 11. Let j be r(-10). Let i = j - -27. Calculate the greatest common factor of i and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7\/5 + 47\/30. Let w(n) be the third derivative of 1\/120*n**5 - y*n**3 + 0 + 1\/48*n**4 + 3*n**2 + 0*n. Solve w(k) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -3*i**3 + 2996817*i**2 - 748416836277*i + 3742009261335 = 0.\nAnswer: 5, 499467","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of 29*z**6\/15 + z**5\/5 - 45*z**4\/4 + 519*z. Find the third derivative of t(w) wrt w.\nAnswer: 1392*w + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1222103655 - -0.05.\nAnswer: 1222103655.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(112)*6)\/((sqrt(20)*2)\/sqrt(5))*-4)**2.\nAnswer: 12096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -3*f**2 + 9700*f - 38644. Determine p(4).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z - 2*q - 14 + 11, 15 = -5*q for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(272) + 3 + 0)**2.\nAnswer: 56*sqrt(17) + 321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - -100001210102?\nAnswer: 100001210022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48\/(-8) + (-30)\/9*(-93)\/496)*-8.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6372 by 9.\nAnswer: 708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34 + -9. Solve o - h = -4*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 2248857?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 6:04 PM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from yyyyyyyyyyynyyyyyyy?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 u, and 1 w when three letters picked without replacement from {z: 1, o: 1, a: 1, n: 2, u: 1, w: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 2 - 32 = 0. Let d be 28\/5 + a\/25. Suppose -18 = -d*t + 3*t. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 57 - 55. Suppose -3*s = -4*s + r*j + 5, 2*s + 2*j = 10. Let d = 1 + -1. What is the second smallest value in d, s, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*n**3 - n**3 - 3*n**3)*((7 - 213 - 868)*(n + 3 - 3) + 0 + n + 0).\nAnswer: -2146*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 3)*(0 + 8 + 0)*(28*k - 14*k - 12*k - 2) to the form d + p*k and give d.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kxh when three letters picked without replacement from {x: 10, k: 2, h: 3}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 7*c - 594. Let w be (-6)\/(-10) - c\/(-20). What is the closest to -1 in 0.05, w, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: c8 (base 14) to base 16\nAnswer: b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d + 13. Let q be c(8). Solve 0*f + 23 = q*f + 4*i, 0 = 4*f - 3*i - 6 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 4 + (2*(2 + sqrt(117))*4)**2 + 3 + (sqrt(117) + (sqrt(117) - (sqrt(117) + sqrt(117) + 0) - sqrt(117)) + -4 - sqrt(117))**2.\nAnswer: 816*sqrt(13) + 8234","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*m + 0*j = 20*m - 2*j - 48, j - 3 = 0 for m.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 248 and 10010?\nAnswer: 1241240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1 - 0.2. Let b = 52 + -56. What is the nearest to -1 in c, 4, b?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 - (-21 + 34 + -7).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-3) + (-14)\/(-3). Let c be 687\/33 - q\/(-22). Let m be c - 2\/(1 + 1). Solve -m = 4*t - 0*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -972*z**2 - 1698*z**2 - 46*z**5 + 644*z**2 - 2*z**4 - 55*z**5 + 3*z**4 wrt z.\nAnswer: -6060*z**2 + 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of -7*j**4\/4 + 23*j**2 - 82. What is the second derivative of s(z) wrt z?\nAnswer: -42*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 1:55 AM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24.6 - 25. Let k = 0.5 - -0.1. Let v = -0.4 - k. What is the nearest to 1 in v, x, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 - 8*m + 5. Suppose 5*s - 177 = 358. Let r = s + -171. Let p = r + 70. Calculate q(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, b: 2, f: 1, u: 4, v: 2, l: 1}. Give prob of sequence fvuq.\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 230 = 19*s. Suppose -210 + 1470 = s*j. Calculate the greatest common factor of j and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 4*b**2 + 2*b - 2. Let g(w) = w**2 - 58*w - 530. Let c be g(-8). Give i(c).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/361059 or 1?\nAnswer: -5\/361059","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 6:19 PM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -27461342 or -27461345?\nAnswer: -27461342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -224*b - 1889. What is g(-9)?\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of 3*l - 2\/5*l**5 + 0*l**2 + 0*l**3 - 1 + 0*l**4. Differentiate o(u) wrt u.\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.169105 rounded to the nearest integer?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**2 + 15*g - 14. What is the units digit of z(-17)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -53 greater than or equal to -55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*m**3\/5 - 111361*m**2\/5 - 345005056*m\/5 - 649691108.\nAnswer: -(m + 6182)**2*(9*m + 85)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -19a7 + -10ea?\nAnswer: -2aa2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((816\/72)\/17)\/((-2)\/1).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1195512431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3187 + 3186. Put 3317, 4, m in decreasing order.\nAnswer: 3317, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 9 - 0\/3)*-2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -355428153\/4 or -88857037?\nAnswer: -355428153\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 10}. Give prob of sequence www.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -25*f. Let v(j) = -5*j. Let x(h) = -2*p(h) + 11*v(h). Let r(k) = k. Give -11*r(i) - 2*x(i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11.3 - -3.7. Let h = -14.9 + c. What is the second biggest value in h, 2\/13, 0.5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/20620 and 31\/14434.\nAnswer: 144340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -3 - (-51 - -119 - 10)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 816066?\nAnswer: 2, 3, 45337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (65*q + 115*q - 143*q)*(-q + q - q)*(-3 - 3 + 5)*(-10 - 2 + 1)*(-2*q**3 - 2*q + 2*q).\nAnswer: 814*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200*j - 144*j + 99*j - 5580 = 0 for j.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3928 + 30469 = 347*c + 53*c + 249*c for c.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 324?\nAnswer: -5\/324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 216*l + 1505. What is o(-7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 162788867 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -9*t + 4. Let k(v) = -8*v + 4. Let w(b) = 6*k(b) - 5*z(b). Calculate w(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 4:47 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16263*d**3 + 11370 wrt d.\nAnswer: 48789*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.23696m in nanometers?\nAnswer: 46236960000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -164.08318 rounded to one decimal place?\nAnswer: -164.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 2, 9, 1, 4, 212 in increasing order.\nAnswer: 0, 1, 2, 4, 5, 9, 212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2702, 2701, 2700?\nAnswer: 2699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - q - 1, -5*f + 3*q + 5 = -3*f. Suppose 3*m + 185988 = 6*m. Let y be (-4 - m)*2\/f. Round y to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1022020010222 (base 3) in base 5?\nAnswer: 134142021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1748789 (base 10) in base 2?\nAnswer: 110101010111100110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4*p = p - 109, -3*n + 4*p = -312. Suppose -a = 4*a - n. Let g(b) = b**3 + 7*b**2 + 5*b - 4. Let t be g(-6). Solve a = t*y + 2*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 76\/26244405 and -31\/19728.\nAnswer: 419910480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.0564, 201\/7, -1\/4?\nAnswer: -0.0564","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 58*(-2)\/14 + 3 + -3. Which is smaller: y or -1\/2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t, 0 = 4*k + 3*t + 3 - 7. Let i(m) = m - 1. Let z be 18\/12 - 1\/2. Let u(d) = -3*d + 4. Determine k*u(o) + z*i(o).\nAnswer: -2*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 204062?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(105)*2)\/(1*sqrt(192)))\/(2*6*(-2*sqrt(55))\/sqrt(11)).\nAnswer: -sqrt(7)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 4*b**2 + 8*b + 10. Let h(v) = -2*v**2 - 9*v - 6*v**2 + 3*v**2 + v - 11. Let l(k) = -k + 2. Let r be l(0). Let q(d) = r*h(d) + 3*j(d). Factor q(u).\nAnswer: 2*(u + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 17821, 17837, 17853?\n\"Answer: 16*m + 17805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 980 - 984.37. Let j = g + 4.368193. Round j to four dps.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4808, -8164, -11520?\n\"Answer: -3356*z - 1452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 318588, 318656, 318752, 318876, 319028, 319208?\n\"Answer: 14*u**2 + 26*u + 318548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09127 take away 13730?\nAnswer: -13729.90873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15492594.000068 + -15492627. Let q = -33 - v. What is q rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -35 + (4 - (-5 - -1)). Sort -4, 3, z, -1.\nAnswer: z, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 88694600 to the nearest ten thousand.\nAnswer: 88690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26090350 + 1118969.\nAnswer: 27209319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432) - sqrt(432)*1)*5)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -25.1 (b) 3\/7 (c) 2 (d) 0 (e) -5\/4 (f) 5 (g) -0.07\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -1 and -0.0306.\nAnswer: -1.0306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 + 200*k + 1352. Let x be i(-7). Is -12\/1549 > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/10 + (0 - (-1149)\/15). Let x = o - 43. What is the highest common factor of x and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a - 6 = 15. Let g(c) = -2*c + 25. Calculate the remainder when g(a) is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 23*f**3 - 14*f**2 - 17*f - 20. Let u(b) = -8*b**3 + 5*b**2 + 6*b + 7. Calculate 6*a(o) + 17*u(o).\nAnswer: 2*o**3 + o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 806, 3101, 6942, 12341, 19310, 27861?\n\"Answer: 2*z**3 + 761*z**2 - 2*z + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6805 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/10*715\/2574?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -55.68?\nAnswer: 55.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (19 - (3 + -16)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 + -13.5. What is the nearest to 0.4 in b, -0.3, -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 133*g**3 - 2*g**2 + 2*g - 1. Let y be t(1). Let w = -30 - 47. Let a be 4\/14 - y\/w. Solve a*u - 5*u - c - 4 = 0, 3*c - 6 = -3*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 4*f - 87. Let i be j(23). Suppose -3*x - i*c + 33 = 0, 2*x = x - c + 9. What is the smallest common multiple of (-8)\/(-12)*(-18)\/(-4) and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1812728 or -1812724?\nAnswer: -1812728","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1003524 or -1003523?\nAnswer: -1003524","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 589490 and 38678?\nAnswer: 48927670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (27*(-34)\/(-1377))\/(2\/(-51))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 4*y + 429. Let n(r) = r. Determine n(s(w)).\nAnswer: 4*w + 429","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 379 = 1520. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2380541968 and 112?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 419770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(180))*-5.\nAnswer: -30*sqrt(5) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 118*r**2 - 7*r - 26. Let c(m) = -39*m**2 + 2*m + 8. Let o(g) = -7*c(g) - 2*n(g). Let a be 2\/(-5) + 24\/10. What are the prime factors of o(a)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 6*v**2 + 573*v - 4045. Calculate w(7).\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -4 - 455635\/(-15) - ((-80)\/(-15))\/8?\nAnswer: 11, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18277261?\nAnswer: 17, 1075133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Is 78757 equal to 78750?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/266916 and -97\/54752?\nAnswer: 2135328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4188718 litres in millilitres?\nAnswer: 418.8718","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*k - 7*k - 3*k + 432 = 0. Solve 0 = -2*b - k*b - 56 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 258010 to the nearest integer?\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 13, 14, 13, 10, 5, -2, -11?\n\"Answer: -n**2 + 4*n + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4783344.\nAnswer: 2, 3, 227, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5310738 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -86.1 + 86. Which is the closest to o? (a) -0.5 (b) -1\/7 (c) -3\/100 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18344 = -58*p + 133384. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13089 - 138802 = -963*c - 3165*c + 208655 for c.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -3*a + 2 + 0*a + 2*a. Let y be d(-2). Let q = 2708.2 - 2701.2. Put q, -0.4, y in ascending order.\nAnswer: -0.4, y, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 5*d + 917 + 1133, -3*d - 4*g - 1235 = 0. Let c = -265 - d. Calculate the highest common divisor of c and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-16)\/((i**(2\/7)\/i*i)\/i) assuming i is positive.\nAnswer: i**(-107\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*h - 760 + 735 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2431 and 365534?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46205, 46256, 46323, 46412, 46529, 46680?\nAnswer: 46871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -14*j**2 + 4*j - 8. Let h(k) = 3*k**2 - k + 2. Let q(w) = 4*h(w) + p(w). Let o(i) = 1517*i**2. Determine q(o(d)).\nAnswer: -4602578*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Is 731 a factor of 8131156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 15, s: 4}. Give prob of picking 2 x and 2 s.\nAnswer: 105\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 89 - 90. Let c be y*3 + (-1 - -6). Suppose c*o = -3*f + 43, 3*f + o = 32 + 15. List the prime factors of f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8274125890*s - 16548251780*s + 8274125888*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00034419 to five dps.\nAnswer: 0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(255)\/sqrt(5))\/sqrt(3) + 2)*-1)**2.\nAnswer: 4*sqrt(17) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w + 3*w - 4*w)*(-2*w - 14 - 1 - 10)*(0 + 3 - 5).\nAnswer: 8*w**2 + 100*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8 take away -761?\nAnswer: 762.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + n = 19, 0 = -h - 3*n - 1 + 2. Suppose 4*o + 0*o = -3*k - h, -20 = -2*o + 4*k. Let u(f) = -f**o + 3*f - 2*f - f. Let c(d) = d**2. Give u(c(z)).\nAnswer: -z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 184, 63, -0.3?\nAnswer: 184","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 3:21 AM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -19\/4 at most as big as 48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 229*o - 4268. Determine w(23).\nAnswer: 999","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2085, -4130, -6175, -8220?\nAnswer: -10265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/68728151?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 14 + -7 + -15 - -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/15*(-16 + 1). Let w be j*((-11)\/5 - 2). Does 15 divide ((-7)\/(w\/(-90)))\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -172a1b (base 13) in base 9?\nAnswer: -1068845","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/1610 and -48\/805?\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2 + 62640*z - 326980800.\nAnswer: -3*(z - 10440)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -143 + -38?\nAnswer: -181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 6. Let i = -0.19 - -0.19. Which is the third biggest value? (a) t (b) 5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 216?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**3 - 2*x**3 + 10*x**3 - x**3.\nAnswer: 9*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = r. Suppose r*s + 2*s - 3*j - 10 = 0, 0 = 5*s - 4*j - 39. What are the prime factors of s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 + 10*d - 17. What is j(8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - 0. Let d(f) = f**3 + 29*f**2 - 29*f + 41. Let g be d(-30). Suppose 0*r - 33 = g*r. Which is the third smallest value? (a) m (b) r (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -643.099 - -1.099. Let w = q + 641.9709. What is w rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t - 3*t + t)*(-5 - 2 - 12)*(0*t**2 - 4*t**2 + 8*t**2).\nAnswer: 304*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 304 <= 320?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -454*o**2 - 1387*o - 49. Give d(-3).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -143 - -143.159. Let u = v - 0.049. Which is the third smallest value? (a) -5 (b) u (c) 0 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(567) + -1)*4 - (sqrt(567) - (sqrt(567) + -1)**2*-4)) + -4 + (2*sqrt(567))**2 + 3.\nAnswer: -12 + 99*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 - -1047220.\nAnswer: 1047219.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -96, -6833, 3\/4, -0.1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 5*m**2 + 5*m - 6. Let d = 6 + -7. Let c be ((-60)\/24)\/(d\/12). Suppose 0*v = -5*v - c. Calculate r(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of -t**6\/360 + t**4\/6 - 2*t**3\/3 - 2*t**2. Let a(z) be the first derivative of m(z). What is the derivative of a(i) wrt i?\nAnswer: -2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 56? (a) -27 (b) -4 (c) -144\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g - 16. Let a be l(10). Solve 2*o - 4*f = o - 19, -16 = a*o - f for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 8:09 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b - -1c1?\nAnswer: 1cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 5*k**2 + 132*k + 493. Give f(-22).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 divided by 39?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2 - 1176*c - 953979.\nAnswer: 3*(c - 793)*(c + 401)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnncc. What is prob of sequence nnc?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 586, 2355, 5320, 9487, 14862?\nAnswer: 21451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25128?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 76 - (-2 + 6 + -2) - (-1897 - -1886)?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6225?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f - 5. Let z be s(10). Suppose -m + z*m = 120. Suppose p - 6*p = -100. Calculate the highest common divisor of m and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125289 is divided by 3792?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.977646 minutes to nanoseconds.\nAnswer: 538658760000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 62\/7 - 241\/28. Factor 1\/2*w**2 - g*w**3 + 0 + 0*w - 1\/4*w**4.\nAnswer: -w**2*(w - 1)*(w + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*b - 2 - 10*b + 2.\nAnswer: 7*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -3313816.52 to the nearest one hundred.\nAnswer: -3313800","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, b: 2, p: 1, z: 3, u: 8, k: 2}. Give prob of sequence uzk.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.5914 to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t, 1 e, and 1 s when four letters picked without replacement from {s: 6, t: 4, e: 1}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of -x**6\/60 - x**5\/20 - x**4\/8 - x**3 - 16*x**2. Suppose 12*i = 13*i + 4. What is the units digit of h(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 4, -i + 22 = -4*v - v. Suppose -k - 2*k = -i. Solve -k*a = a + 25 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*h**3 + 1003*h**2 - h - 1503.\nAnswer: 24*h + 2006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 - -25. Suppose -3*x = 4*o - o - 48, -4*x = -g*o - 96. Let b = 48 - 34. What is the lowest common multiple of b and x?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r - 8. Determine a(-10).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -451, -870, -1273, -1660?\nAnswer: -2031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -7*z**2 - z + 31. Let m(t) = -4*t**2 - t + 17. Let c(j) = 5*m(j) - 3*w(j). Determine c(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o**2*o)**(-26)\/(o**(-3)\/o*o)**(-35))**3 assuming o is positive.\nAnswer: o**(-705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134*p - 130*p = 7*x + 4, 4*p - 4 = -5*x. Sort x, -2079, 0.5 in increasing order.\nAnswer: -2079, x, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 5*c - 45 = 0, 0 = -3*g + 5*c - 0 - 10 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 454, 4 in descending order.\nAnswer: 454, 4, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 4:49 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.328 - -1.672. Let f = 3 - -5. Which is the fourth biggest value? (a) y (b) 5 (c) 0 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 531361?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 6*q**2 + 30. Let x(u) = -1. What is -a(d) - 30*x(d)?\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -945, -1912, -2881, -3852?\nAnswer: -4825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -44082485 and -154.\nAnswer: -44082639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 110677234*r**3 - 162744934 wrt r.\nAnswer: 332031702*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.9 - 0.9. Let a = p - 3. What is the nearest to a in 4, -0.1, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.1, 0.3, 3\/2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -290849022 + 95980083959\/330. Let l = k + 1693\/6. Let j = -146\/55 - l. Calculate the common denominator of j and 43\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*d**2*f**3 + 25*d**2*f**2*t**2 - 274*d*t**2 + 1603*f**3*t**2 wrt f.\nAnswer: -96*d**2 + 9618*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 38511 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: Simplify ((h*h**(2\/23))\/h**(2\/9))\/(h**24*h*h\/h**(-2)) assuming h is positive.\nAnswer: h**(-5617\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 3, 8*l = 3*l - 5*u + 695. Let d = 303 - l. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 10:58 AM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -16*c**3 + 24732*c**2 - 117096*c - 30820 = 0.\nAnswer: -1\/4, 5, 1541","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 48\/(-1)*2\/4. Let a = v - -27. Determine j, given that 4\/7*j**2 - 4\/7*j**4 + 2\/7*j**5 - 2\/7*j**a + 0 + 0*j = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 + 3*f + 2. Let x be m(-4). Let u = -26 - x. Suppose u = -4*g - 2*c - 12, 4*c + 14 = -2*g - c. Sort 1, 0, g.\nAnswer: g, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -16, -82, -216, -430, -736?\n\"Answer: -2*c**3 - 22*c**2 + 14*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.6571 + -1.7. Let g = j - -0.0429. Which is the closest to g? (a) -5 (b) 4 (c) 0.3 (d) -52\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1065, -3, -6, 1, -1, -30.\nAnswer: -30, -6, -3, -1, 1, 3, 1065","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1508937 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, j: 8, f: 3, n: 1, x: 3}. What is prob of picking 3 x and 1 f?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*j**3 + 569*j**2 - 55577*j wrt j?\nAnswer: 126*j + 1138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 26552 times 9829?\nAnswer: 260979608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -56*k**2 + 4*k + 8. Let n(p) = 44*p**2 - 4*p - 6. Let z(l) = -3*a(l) - 4*n(l). Let d(s) = -4*s + 2*s + 4*s. Determine d(z(t)).\nAnswer: -16*t**2 + 8*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8.06 - -8. Let k = 4.94 - g. Let x = 4 - k. Which is the closest to 1? (a) 2 (b) x (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47 divided by -206349\nAnswer: -47\/206349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 - (61 + -3 + 435 + -414).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 45\/18 + -1*4\/(8 + 0). What is the nearest to -0.8 in -1\/7, 0, s?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m - 4. Let k be x(0). Let o be -2*(-1)\/k*-6. Solve -j - 2 + 4 = -v, 5*v = o*j - 8 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/9, 32, 447, -2\/29?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3974424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 3*a**3 - a**2 + a. Let r be f(1). Suppose 3*x - 5*h + 19 = 0, -r*x - 4*h + 14 = -5*x. What is the second smallest value in 3, x, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + d - 3*d)*(100 + 49 - 116).\nAnswer: -66*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + k = -6. Suppose k*z - 2 = 28. Does 5 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(2\/19))**(-28) assuming d is positive.\nAnswer: d**(-588\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**3)\/a)\/a)**(1\/34)*((((a*a\/((a\/(a**(-2)*a*a*a))\/a)*a)\/a)\/a)\/a)\/a**(-12\/5) assuming a is positive.\nAnswer: a**(279\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2787314 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5699, 10647, 14835, 18263, 20931, 22839?\n\"Answer: -380*t**2 + 6088*t - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r + 24. Let f be t(-20). Solve -f*z + 4 = -0*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 155101 and 86?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 17\/(-14) - (-3)\/(-6). Suppose 5762 = -63*b + 5510. What is the closest to -0.1 in b, h, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -6*z**3 - 11*z**2 - 239*z - 11. Let o(d) = -d**3 - 2*d**2 - 48*d - 2. Let l = -5117 + 5106. Give l*o(v) + 2*p(v).\nAnswer: -v**3 + 50*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 13*(0\/1 - -1). Let t = -184 - -193. Suppose 2840 = -t*p + x*p. Round p to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {w: 10, i: 4, b: 3, z: 2}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 294.2765 nanograms to grams.\nAnswer: 0.0000002942765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*j + 0*j + 0*j)*(0*j + j - 3*j) + 0*j**2 + 4*j**2 + 3*j**2 - 6 + j**2 + 6 as b*j + w + l*j**2 and give l.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 458?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-7))\/(w**(-5)\/w))\/(w**(1\/3))**10 assuming w is positive.\nAnswer: w**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7888, -2388, 12534, 41588, 89484, 160932, 260642, 393324?\nAnswer: 563688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13630 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - d + 2*y - 104 = 0, d + y + 28 = 0. Let l = 68 + d. Is l a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56880691?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/300 and -62\/75.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 4052\nAnswer: -1215.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 5, 1\/3, -335?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53, -50, -45, -38, -29?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 46.874859, 2\/15, 1\/4 in decreasing order.\nAnswer: 46.874859, 0.5, 1\/4, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4966, 9865, 14836, 19915, 25138, 30541?\nAnswer: 36160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 - 11*a**2 - a + 13. Let y be f(11). Suppose 5*x = 3*b - 4115, 4*b + y*x = -b + 6910. What is b rounded to the nearest one hundred?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1 + -1 + 1 + sqrt(153) + sqrt(153)*-2 + 1)**2 + 3.\nAnswer: -468 + 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-2*sqrt(91) - sqrt(91)))\/sqrt(7).\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 302*p - 1241. What is the units digit of u(26)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35 + -42.8. Let b = 4 + j. Let y = b + -1.2. Put y, -2\/7, 0.4 in decreasing order.\nAnswer: 0.4, -2\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/11 and 29\/40.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**(2\/23)*x*x*x*x\/x**9*(x*x\/(x*x\/((x**(-1\/12)*x)\/x)))\/x**(-1\/11)*((x**(1\/4)\/x)\/x*x)**40\/(x*x*x\/(x*x*x**(-1\/4)))**4 assuming x is positive.\nAnswer: x**(-118117\/3036)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 381 = 4*i + 121. Let g = 318 - i. What is the greatest common factor of 23 and g?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2, -18005, -2\/11, 5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of o**6\/120 + o**5\/15 + o**4\/24 + o**3\/3 - 6*o**2. Let f be d(-4). Let w be (-2 + f - -4)\/2. Solve -3*m + w*m - 12 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3141 times -4\nAnswer: 12564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 11, -29, 5, -3, 65, -4 in decreasing order.\nAnswer: 65, 11, 5, 4, -3, -4, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*((-1272)\/(-12))\/2. Is -48 less than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 0.2, -1.6.\nAnswer: -2, -1.6, -1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-45))\/1 + (-19)\/95.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 4*x + 6, -3*n + 32 = 2*x. Suppose -6*b + 4*b - 4 = -3*j, 23 = 5*j - b. Let t(m) = -19*m**2 + 16 - j - n. Let s(z) = -2*z. What is s(t(a))?\nAnswer: 38*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 49694982 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + v + 15. Does 4 divide n(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3187783 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*q**3 - 2*q + q**2 - q**2 - 13*q**3 - 35*q**3.\nAnswer: 18*q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (366\/488)\/((9\/8)\/(-1))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/12 and 29\/36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r + 3. Suppose 0 = -2*l + 7*l - 25. Suppose -3*k + 3*o = -0*o - 9, k = -l*o + 27. Suppose 8 = -2*f, 3*x - 4*f + 8 = k*x. What is u(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(45)*2)\/((sqrt(9) + sqrt(27)\/sqrt(3))*3).\nAnswer: -4*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 39901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132022 (base 4) to base 16.\nAnswer: 78a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*k**4 + 17*k**3 + 3*k**4 - k**2 - 2 + 30*k**3 - k**4 + 2*k**4 in the form n + y*k**2 + f*k + j*k**4 + z*k**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4877517 to the power of 1\/3, to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 41785\/2745 - (14 - -1). Which is the closest to v? (a) -1 (b) 5 (c) -278 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 + 73 = 3*n. What is the remainder when n is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2953718*l*o**2 + 6*l*o - l - 4*o**2 - 20226148 wrt l.\nAnswer: -2953718*o**2 + 6*o - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 5*u**2 - 3*u + 2. Let y(m) = 10*m**2 - 7*m + 4. Let z be ((-3)\/2*3)\/((-6)\/4). Give z*y(v) - 7*s(v).\nAnswer: -5*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27 - 21) + -1 + (6 - 1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04191781 - 16.\nAnswer: -15.95808219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -25\/3? (a) 0.44 (b) 0.3 (c) 0.1 (d) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, b: 6}. Give prob of picking 1 b and 3 y.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.9 plus 1752931498?\nAnswer: 1752931505.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1072 + -105?\nAnswer: -1177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q - 3*q + 5*q**4 - 2 + 4*q**4 + 2 + (3*q**3 - q + q)*(q + 2*q - q) + 6*q**4 + 5*q**4 + q**4.\nAnswer: 27*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.76629301 to four decimal places.\nAnswer: 5.7663","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -10. Suppose 5*d + 2*x = 6, -4*d + 14 = -0*x - 3*x. Suppose d*w - 20 = -r. List the prime factors of w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of q**6\/24 + 19*q**5\/12 + 1200*q**2. Factor c(z).\nAnswer: 5*z**2*(z + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 521807.\nAnswer: 11, 13, 41, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-11 - -1)\/(-2)*8\/20. Solve 4*z - t - 12 = 0, k*z + 3*t + 7 = -1 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -38 in -0.03, -1.48, 2, -0.2?\nAnswer: -1.48","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -63, -69, -79, -93, -111, -133?\n\"Answer: -2*z**2 - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*54\/18*1\/(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 624 is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -8*g + 5. Let w be l(-11). Let k = w + -49. Factor 17*d**5 + 4*d**4 - 13*d**5 - 6*d**3 + d**3 - 12 - 19*d**3 - 56*d**2 - k*d.\nAnswer: 4*(d - 3)*(d + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -394, -3126, -10524, -24922, -48654, -84054, -133456?\nAnswer: -199194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -20*l**5 - 4*l**2 - l - 38*l**4 - 14*l**4 + 9*l + 8*l**2 - 36*l**3 = 0?\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 - 6*p - 6. Let z be s(-6). Let b(d) = 16*d**2 - 8*d + 5. Is b(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 8*n - 316 = 0. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15798756 divided by -7899378\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-9)*o**7*(o**(2\/9))**(-2\/11))**13 assuming o is positive.\nAnswer: o**(-1339\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -744*v**4 - 2*v**3 + 1869*v - 2 wrt v?\nAnswer: -8928*v**2 - 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 24*f + 9. Let n(v) = 606*v**2. What is n(i(k))?\nAnswer: 349056*k**2 + 261792*k + 49086","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6988 + -6079. What is the highest common factor of y and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8562479 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1762 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4857583740 to the power of 1\/2, to the nearest integer?\nAnswer: 69696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12\/9)\/(-5*6\/(-45)). Solve -h*r = -5*r + 6 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23988926 is divided by 1888.\nAnswer: 1886","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -107808 (base 11) in base 6?\nAnswer: -3401132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5683*u**2 + 20787 + 12922 - 40016 wrt u.\nAnswer: -11366*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 652*f**2 + 4877*f**2 - 5522*f**2.\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, w: 2, j: 1}. Give prob of picking 1 i and 1 w.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -211*c**2 - 2*c - 1. Let q be h(-1). Let i be q\/(-40) + (-1)\/4. Find the second derivative of -i - 8 - 2*p + 13 - 9*p**2 wrt p.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 19, 34, 35, 10, -53, -166?\n\"Answer: -2*u**3 + 5*u**2 + 14*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 748444741 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1146?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, q: 1, s: 2, b: 1}. Give prob of sequence qsb.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hssqjqssssqqqsqsjq. Give prob of picking 1 h and 1 q.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/(-4))\/(-5 + 165\/40). Put -1, o, 30 in decreasing order.\nAnswer: 30, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**3 - 1296026*f**2 - 44065751*f - 374561340 = 0. What is f?\nAnswer: -17, 1296060","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20876 + -20880. What is the closest to -20\/7 in x, 2\/3, 2.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15110.159982 - -15110. Let i = 0.08 - 0.24. Let k = i - q. What is k rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of y**4\/12 + 67*y**2. Let u(w) = 3*w**2. Determine o(u(z)).\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 5*w = -10, -11*s - 2*w + 4 = -0*w. Find l such that -3*l + s + 3\/2*l**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -63 - 1?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 + 7*m + 8. Suppose a = -a - 6. Let g = 3 - a. List the prime factors of y(g).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjitvjtvtvjvttvjv. What is prob of picking 1 v and 1 t?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -c (base 15) to base 14\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2142, 2146, 2150?\n\"Answer: 4*i + 2138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 757 and 1080292\/1425 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + -1 + (1 + sqrt(7))**2 - sqrt(252)*4) + (3*(5 + -1*sqrt(567)))**2.\nAnswer: -831*sqrt(7) + 5335","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55370948.\nAnswer: 2, 13842737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 107965 to the power of 1\/2, to the nearest integer?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qkkxqxxkkkq. Give prob of picking 1 q and 2 x.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -807 = -100*l + 1773 + 920. What is the highest common divisor of l and 217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 9*n**2 - 8*n + 3. Let f be m(-8). Suppose 40 = 2*p + f*p. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/10*(-4)\/(-18). Let d(p) be the second derivative of 0*p**2 + 0*p**3 + 1\/18*p**4 + p + 0 - 1\/63*p**7 - k*p**6 + 1\/30*p**5. Find b such that d(b) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 484743, 969467, 1454191, 1938915, 2423639?\nAnswer: 2908363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1013488934?\nAnswer: 2, 193, 2625619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 377230265?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16*j - 180 - 180 + 358)*(-24*j + 4*j - 8*j) to y + d*j**2 + v*j and give d.\nAnswer: 448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04735266 rounded to five dps?\nAnswer: -0.04735","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -163521 - 10405?\nAnswer: -204226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**2 + 6*n**3 - 2*n**2 + 4*n**3 - 9*n**3.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g - 744. Let j(s) = 22*s + 3. Give j(o(v)).\nAnswer: 22*v - 16365","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 3:37 PM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.00639141 - -0.0064. What is a rounded to six dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -103 in ascending order.\nAnswer: -103, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*c - 3*c**2 - c - 8*c.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -634*o**2 + 2078*o**2 - 636*o**2 - 801*o**2.\nAnswer: 7*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 361 is divided by 128.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1689371261 a multiple of 643?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 2*w - 44 = -6*w, 0 = q + w + 7. Let c be 4\/(-3)*(0 - q). Let z be (0 + 1 - c) + 2. Calculate the greatest common factor of z and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 62*k**2 + k - 1. Let s be i(1). Is 12 a factor of 2\/(-5) - s\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f + 4*f - f)*((-5 - 2 + 5)*(-1 - 2 + 1) - 2 + 18 + 11).\nAnswer: -62*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 - 14. Let p(h) = -15*h**2 + 14*h. Let o(v) = 16*v**2 - 15*v. Let f(t) = z*p(t) + 2*o(t). Find the second derivative of f(b) wrt b.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1349768 is divided by 7218.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (147\/(-9) + -1)*(-18)\/4. Let n = -56 + z. Suppose s - n = 59. Calculate the remainder when s is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2484502 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 - 36. Let v = -1 - p. Let y = 25 + 31. Calculate the highest common divisor of v and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7 from -0.0281398.\nAnswer: 6.9718602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 23*o. Let l(x) be the first derivative of -2*x**3\/3 + 7. What is l(d(b))?\nAnswer: -1058*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1465953186?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -123 (base 5) to base 9\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of 19 - 1\/6*m**2 + 0*m + 1\/6*m**3 - 1\/24*m**4. Solve s(b) = 0 for b.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1122212212210 (base 3) to base 15\nAnswer: 126b76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*c**4*i**2 - 137*c**3*i**3 - 36*i**3 with respect to c.\nAnswer: -8*c**3*i**2 - 411*c**2*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3*k - 1. Let p be a(3). Suppose -3*o + p = -10. Suppose -2*i = -o*i + 128. Is i a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - 108*t - 119556. Give r(404).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/6)\/(2\/16)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 12 + 14. Suppose -3*c = -5*c - 3*a + 408, 1003 = 5*c - a. Let q = -136 + c. Calculate the highest common divisor of s and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 5 = -2*z. Let n be 1 - z*3\/12. Factor 5\/4*a**5 - 1\/2*a**3 - 3\/4*a**4 + 0*a**2 + n + 0*a.\nAnswer: a**3*(a - 1)*(5*a + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 1293834.\nAnswer: -1293834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, q: 11}. What is prob of picking 3 q and 1 z?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 411, 401, 379, 339, 275, 181, 51?\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -94 + 105. Which is the biggest value? (a) f (b) 0.4 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -29. Let s be 72\/(-33) - 2\/(-11). Let r be (v\/s)\/((-15)\/(-80)). What is the greatest common divisor of 14 and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -18*l - 123. Let u be b(-7). Suppose 4*o - 20 = 0, -2*o - 289 = -u*g + 1. Is g a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 84\/22 - 40\/(-220). Let z(a) be the second derivative of 2*a**2 + 2\/3*a**3 - a + 1\/2*a**h + 0. Let d(n) = -n**2 - n - 1. Give -4*d(q) - z(q).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 11022020221202?\nAnswer: 11022020221211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1179 is divided by 309?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -2*t - 38, 3*r + 67*t + 33 = 65*t. Sort 91, -3, r in descending order.\nAnswer: 91, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 161887, 161943, 161999, 162055?\n\"Answer: 56*v + 161831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2171230 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -763 bigger than -675?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4047 - -6980. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -129*l + 131*l + 52*l**2 + 12*l**2 + l**3 in the form y + r*l + m*l**3 + c*l**2 and give c.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189*i - 13 = -202*i. Sort -1, 2, i, -4 in increasing order.\nAnswer: -4, -1, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 230926 to the nearest integer?\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 350468333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*b**2 + 9*b**4 - 2*b**4 - 10*b**2)*(4*b - b - 2*b).\nAnswer: 7*b**5 - b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1014224 - 2143301?\nAnswer: -3213030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, n: 2, m: 4}. What is prob of sequence km?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 (base 8) in base 3?\nAnswer: 2110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 6*t**2 + 2*t + 6. Let i be h(-6). Let m(r) = -5*r - 20. Let n be m(i). Calculate the greatest common divisor of 10 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20311231122 (base 4) to base 11.\nAnswer: -13429a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -73*m**2 + 5*m + 0*m - 14*m - m wrt m.\nAnswer: -146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 7 + 5*d**3 - 7*d**3 + (d**2 + d**2 + d**2)*(3*d + 0*d - 4*d).\nAnswer: -5*d**3 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5037 by 28.\nAnswer: 5037\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28378 and 1?\nAnswer: 28378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -5*y - 95, 0*v - 4*y = -v - 4. Let z = 15 + v. What is the smallest value in -1\/4, 0, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v. Let s(l) = -28*l**2 - 388*l + 17. Let h(r) = -10*r**2 - 129*r + 6. Let d(a) = -17*h(a) + 6*s(a). Calculate d(q(n)).\nAnswer: 2*n**2 - 135*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 PM and 1:31 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 51 - 81. Let n = -29.6 - q. Let b = -0.4 + 0.2. Sort n, 0.5, b in decreasing order.\nAnswer: 0.5, n, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*g - 16*g**2 + 11*g - 17*g to the form h + f*g**2 + c*g and give f.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (35\/700*8\/3)\/((-1045)\/275)\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 9 = 4*w, -3*w = -4*v - 4*w + 5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01002114 rounded to five dps?\nAnswer: 0.01002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1666512 is divided by 833246?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 164, 520, 1106, 1916, 2944, 4184, 5630, 7276?\nAnswer: 9116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 + 5*d - 2. Let z = 75 - 36. Suppose k - 3*b - z = -2*k, 17 = 4*k + 3*b. Calculate the smallest common multiple of k and v(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -65, -0.2, 59, 0.2?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.061 take away 12842?\nAnswer: -12842.061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3 - 640571*y**2 - 3843469*y + 4484039.\nAnswer: (y - 640577)*(y - 1)*(y + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 (base 15) in base 9?\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 16 = -5*v. Let p(c) = -363*c + 8. Let h(i) = 121*i - 3. Let a(x) = -17*h(x) - 6*p(x). Is a(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/((-131328)\/2033) + 20\/36.\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, 0.2, -1\/6 in decreasing order.\nAnswer: 3\/4, 0.2, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.422686 litres to millilitres.\nAnswer: 4422.686","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 123*o + 522 = -840, 3*n + o + 768 - 794 = -2*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8)*2*1 + (-2*sqrt(96))\/sqrt(12))\/((sqrt(980)*3)\/sqrt(5)) + 3)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + (1 - 2) + 4. Suppose 0 = -3*y + 2*y - i*y. Find the third derivative of 0*o**3 + 14*o**2 + y*o**3 + 3*o**5 - 7*o**5 wrt o.\nAnswer: -240*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5*o = -19 + 3. Solve 11 - 1 = -p + 2*c, 20 = o*c for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -3*g**3 + 44*g**2 + 10*g + 83. Calculate k(15).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 27143180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 730832a7 - -1?\nAnswer: 730832a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75 divided by -61.\nAnswer: 75\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + 0 + 3 - 3. Suppose -5*m + 4*o = -g*m + 43, -5*m = -o + 49. What is the remainder when 3\/1 - (m - -8) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/10 - -1 - (-140)\/50. Let p(n) = 16*n - 8. Let y be p(6). Suppose y = z + j*z. What is the remainder when z is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 5*y + 163 = 0, d = y - 7 + 49. Calculate the remainder when d is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3568, 8682, 13796, 18910, 24024?\n\"Answer: 5114*v - 1546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 602 = 94*b - 996 for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.7? (a) -4 (b) -1 (c) 1\/2 (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 924*h - 37. Let m be x(4). Suppose -m - 7968 = -11*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -104*b**2 + 302*b**2 - 4 + 4 + 19*b - 131*b**2 as y + w*b + t*b**2 and give t.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w + 417*w**2 - 4*w - 836*w**2 + 417*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8793 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssosssooooso. What is prob of sequence oss?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 7*o**2 - 4 + 5*o**2 - 6*o**2 + 2*o + 3. Let x be d(-3). Let h = -58 + x. Which is smaller: -13 or h?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 2*w = 2*j + 10, 14 = -2*j + 4*w. Let h = -1.951 - 0.049. Which is the second biggest value? (a) j (b) h (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-378)\/(-1071) + 324\/(-51)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y**3 - 135*y**2 - 8378*y + 377020. Determine x(45).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = u + u + 5*z, -5*u - 23 = -4*z. Let x = u - -8. Let r be 5 + 616\/(-44)*(-18)\/(-52). Which is the smallest value? (a) -3\/11 (b) r (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -605 + 2023. Suppose -11*o - w = -13*o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + g - i = 2, 0 = -2*i - 4. Let n = 3.11 + -0.01. Let h = n + -3.4. What is the third smallest value in -2, h, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, t: 1, b: 1, e: 2, y: 1, k: 1}. Give prob of sequence tkbh.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -1262 and -1262 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 150 = 2*z + 3*t, -3*t = 5*z - 396. Let g = z - 41. List the prime factors of g.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-5)*((-6)\/4 + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1711 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -121, 20 in descending order.\nAnswer: 20, 3, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y**(1\/35)))**42\/(y**(12\/5)*y\/y**(-1\/15)*y))**(3\/28) assuming y is positive.\nAnswer: y**(-17\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 - m + 4. Suppose 650 = 42*y - 32*y. Calculate the remainder when y is divided by h(6).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86348 is divided by 110.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 711 - 9676. Is (4 + p\/20)*-4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of -x**4\/42 + 26*x**3\/21 - 19*x**2 - 339*x. Let l(p) = 0. Calculate p.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 2:51 AM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3895 - 4103 = 258*o for o.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/5137000 and 121\/2000.\nAnswer: 10274000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17753?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 25.52121 micrograms?\nAnswer: 25521.21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(200\/(-156)))\/(-6*1\/20).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000 + 101001001?\nAnswer: 101000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 39*s**2 - 24*s - 194. Is f(-38) a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*t**2 - 2*t**2 - 9*t**2 + 102*t**2.\nAnswer: 69*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -42*k + 38. What is the hundreds digit of r(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 264420\/2730 + (16\/14)\/1 is divided by 47.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44 and 132.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6240047.\nAnswer: 11, 567277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 5) + -3 - -6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -292 + 41 - 2*h - 433 + 3 as g*h + n and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 - 3 - 15 + 25*t to the form s + c*t and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 3*q. Let o(c) = 7544468*c**2. What is o(d(k))?\nAnswer: 67900212*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2596875 is divided by 55?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3*x**2 - x + x. Let t(g) = -3*g. What is t(j(w))?\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2412614 (base 7) in base 4?\nAnswer: -1022223332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.08 and 351.4.\nAnswer: 28.112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23706 and 189.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + -60 + 79 - (69 - (-3 + 2))?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-7))\/(245\/8575)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 31606 to the power of 1\/2, to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-11)\/(-33))\/((-420)\/315))\/35?\nAnswer: -1\/140","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*r = 152*r - 3*m + 14, -3*r - 4*m = -19 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2. Let y(l) = -31*l**2 + 2*l. Let p(k) = 435*k**2 - 29*k. Let g(c) = -6*p(c) - 87*y(c). What is h(g(q))?\nAnswer: 7569*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -17, -26, -21, 4, 55, 138, 259, 424?\n\"Answer: a**3 + a**2 - 19*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -191, -760, -1709, -3038, -4747, -6836?\n\"Answer: -190*x**2 + x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.74 - -2.74. Let f = -169\/10 - -17. Which is the nearest to -2\/5? (a) x (b) -9 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 78 = -3*x + t, x + 5*t - 18 = 0. Let h be (-4 - -7)*14\/3. Calculate the highest common divisor of x and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - ((-4)\/(-4) - 1). Let m(n) = -n**2 + n + 2. Let d be m(u). Suppose 3*r - 11 - 4 = d. Is 2 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5260652?\nAnswer: 2, 23, 211, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/3 + 16 + 6898 + -6918?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 22 = 2, -o + 3*u = -44. Let w = -29 + o. Suppose -2*t + 5*t = w. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 24 = 11*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = 5*v - 4*k, -8 = v + 4*k + 3. Suppose v*z - 5*z = 12520. Suppose 4*i = -606 + z. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-35)\/(-6)*(-120)\/150.\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12824 or -12826?\nAnswer: -12826","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.209298 rounded to three dps?\nAnswer: 0.209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*o + 33*o - 50. Solve 0 = -4*l + 6*l - o for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 66\/268182265 and -43\/581110.\nAnswer: 536364530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f + 109 - 25 = -4*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10012100111 (base 3) in base 5?\nAnswer: -4003300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 351 by 39.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 15 - 40 + 140*d**3 + 43*d + 15 + 16 - 3*d**2. Let x be l(19). Round x to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60371 is divided by 12072?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3212120 (base 4) to base 10\nAnswer: 14744","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 57*a**2 - 72*a**3 - 79*a**3 + 228*a**3 - 81*a**3 + 2 + 6*a in the form f + s*a**3 + u*a**2 + c*a and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = w - 5*w. Let z(d) = -d. Let t(a) = -8*a + 1. Suppose -2*p - 2*x = -6, x = 1 + 3. Let v(s) = p*t(s) + 6*z(s). What is v(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 47 + -43. Calculate the highest common divisor of t and 76.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3850232 is divided by 1925114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 11:23 PM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 r when two letters picked without replacement from rrhrrrrrrrrrrrrhrrhr.\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 5*j**3 + 15*j**2 - 16*j + 19. Determine m(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 1\/5, -4.4, -2\/17, 0.039 in ascending order.\nAnswer: -4.4, -2\/17, 0.039, 1\/5, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 5*q**2\/6 + 145*q\/6 + 250\/3 = 0.\nAnswer: -25, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 8616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*l**6 + 586*l**4 - 3*l**3 + 128*l**2 - l + 6 wrt l?\nAnswer: -240*l**3 + 14064*l - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - 19*m**2 + 69*m - 339. Let n be r(16). Let z(x) = 2*x**3 + 4*x**2 + x + 2. What is z(n)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 210*i**2 + 5*i + 3. Let w(x) = 211*x**2 + 4*x + 2. Let y(k) = 3*t(k) - 4*w(k). Let v be y(1). Is (0 + 1)*1 - v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v - 3. Let g(f) = f - 3. Determine 4*g(p) - 5*i(p).\nAnswer: -p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 54 - 77. Let t = 23.01269 - 0.15569. Let f = t + c. Round f to 2 decimal places.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -240, -844, -1446, -2046, -2644, -3240, -3834?\n\"Answer: k**2 - 607*k + 366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r - 44*r**2 + 18*r**2 + r.\nAnswer: -26*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1276 a factor of 1231340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2507451 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(544\/6)*(-40)\/30?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -12. Let d = -0.1 + 1.1. Let q be (5\/10)\/((-4)\/2). Which is the third biggest value? (a) l (b) d (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 + 10 = 10*y. Solve 3*x + 0 = b - 5, 5*x + y = b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 6:43 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*2\/4)\/(13\/(-4)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 514*c**3 + c**2 - c + 1. Let l be w(1). Let i(a) = a**3 - 8*a**2 - 2*a + 6. Let u be i(2). Is (1 - l)*11\/u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o = -9*o. Solve -15 = -5*b - o*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/sqrt(2))\/sqrt(3) + -2 - (sqrt(300)*1*3)**2.\nAnswer: -2702 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 245 is divided by 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/8)\/(2\/(-6)*-3*13\/39)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 0.2. Let n = -1.67 - -1.57. What is the nearest to n in 4, -0.4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 51298*p**5 + 2*p**2 + 2*p - 309.\nAnswer: 3077880*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-144)\/(-4)*2\/(24\/284)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -393 - -388. Sort z, 4, 1.\nAnswer: z, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 0*h + h = -44, -c + 12 = -h. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 429?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28490 and 10360.\nAnswer: 113960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-7))**(-1\/56) assuming h is positive.\nAnswer: h**(1\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 62176.7m in kilometers?\nAnswer: 62.1767","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r + 27. Let i be (84\/(-49))\/((-1)\/(-7)). Let l be d(i). Let f = 39 - l. Solve 0 = 4*c + 4*p - 36, -4*c + 4*p = -f - 4 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 292619 divided by 4\nAnswer: 292619\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1323271824.\nAnswer: 2, 3, 7, 59, 66751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -22 - 51*l + 22 - 72*l as j*l + g and give j.\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 4*((-1 + sqrt(7))**2 + sqrt(7)) - ((3 + -3*sqrt(7))**2 + 2).\nAnswer: -38 + 14*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w = -5*w - 15. Suppose j = t, t - 1 - 9 = 3*j. Put t, 1, -1, w in increasing order.\nAnswer: t, -1, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 - 317*h**2 - 6037*h + 2350. Determine u(335).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -60851290 by -30425645.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -183 - -0.03275937\nAnswer: -182.96724063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3578, -7127, -10664, -14183, -17678, -21143?\n\"Answer: d**3 - 3556*d - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/t**(-2\/13))\/(t**(-2\/3)\/t))\/(t**5\/(t**(-4)*t)) assuming t is positive.\nAnswer: t**(-163\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/561 and -149\/102.\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {s: 6, c: 4}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i - 7*i - 16512 = -4*m, 4124 = m + 2*i. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2 = -2. Let v(o) = 15*o**2 - 6. What is the tens digit of v(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 4:03 PM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -353 - -370. Let d(h) = h**2 - 50*h + 30*h + 17*h + 20 - 4 + k*h. Determine d(-13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + -1)\/8 - 406\/(-56). Let h(y) = -y**3 + 7*y**2 + y + 3. Calculate h(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -581 (b) 4 (c) 5 (d) -3\/5 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*s**2 + 4*s**2 - 3*s**2)*(46*s + 42*s - 112*s) in the form k*s**3 + y*s + u + f*s**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2072.\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 12, b: 3, u: 1, k: 2, o: 2}. What is prob of picking 1 o, 1 s, and 1 u?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-12486)\/(-108))\/(2\/6). Let s = -346 + h. Which is smaller: s or 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a44ac (base 15) in base 14?\nAnswer: -25477d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1919121765 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -744 to the nearest ten.\nAnswer: -740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 190197540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 20200 (base 5) in base 16?\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 1. Let j = 6 + -6.3. Which is the closest to -5\/4? (a) -1 (b) j (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -35, -75, -137, -233, -375?\n\"Answer: -2*p**3 + p**2 - 29*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -35416 + 247962\/7. Let f = 112792\/105 + -1074. Calculate the common denominator of f and d.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 96, 204, 320, 444, 576, 716?\nAnswer: 864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9014660755 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**2 + 1488*j - 2992.\nAnswer: 4*(j - 2)*(j + 374)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in nine tenths of a gram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - (-25 + 24 + 2 + 15)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w - 5. Let u be j(7). Let f be 3\/(u\/(-8)) - -70. What is the greatest common factor of 18 and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 588 is divided by 120.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y**2 - 15*y + 6. What is d(-9)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - 237281.\nAnswer: -237277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 1080377715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together 207737235 and -223.6.\nAnswer: 207737011.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/5)\/(n\/(n*n**(-2)*n*n)))**(-33)\/(n**(-1)*n\/(n*n**(-2\/9)*n)*(n\/(n\/(n\/(n**4*n))))\/(n\/(n\/n**4*n))) assuming n is positive.\nAnswer: n**(692\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d + d - d)*(-7 - 8 + 3)*(139*d + 28*d + 45*d)*(-7*d + 3*d + 3*d) to the form h*d**3 + o + b*d**2 + c*d and give h.\nAnswer: -2544","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 18 (b) 1\/6 (c) -3 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -20\/2991 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -155832, -312447, -469062, -625677, -782292, -938907?\n\"Answer: -156615*o + 783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 1:04 AM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 9.5072 * -6\nAnswer: -57.0432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -451534441 - 0?\nAnswer: -451534441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v - 31 = -6*b + 13*v, -3*b - 23 = 5*v. Solve -b*y - 235 = 43*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*a + 4086 - 1356 - 1356 - 1374.\nAnswer: -16*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3 - 240392*f**2 - 10099110*f - 106049916.\nAnswer: 2*(f - 120238)*(f + 21)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1728 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -137.29 (c) 4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 84721 and 110201?\nAnswer: 637","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71, 282, 631, 1118?\nAnswer: 1743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 42*c**3 + 2*c**2 - 2*c + 1. Let v be y(1). Let a = -139\/2 - -68. Let u = v + a. Find the common denominator of u and -45\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 983939.2ml in litres?\nAnswer: 983.9392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r + 2. Let z be j(3). Find the first derivative of -4 + 2 + 2*u - z*u wrt u.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4347.\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -198b (base 15) to base 12.\nAnswer: -324b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1183, -2164, -3033, -3790, -4435?\n\"Answer: 56*d**2 - 1149*d - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -940, -974, -1040, -1150, -1316, -1550, -1864, -2270?\n\"Answer: -2*c**3 - 4*c**2 - 8*c - 926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of 3*n**2\/2 + 981. Let p(k) = -20*k - 9. Give z(p(m)).\nAnswer: -60*m - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 180992 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkwbwwkkojjkkj. Give prob of sequence jk.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 625\/328 + -5\/164. Is k at least 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 2*k = -11 + 1, -k = 2*f + 7. Let c be 3*1 - 0\/(-7). Let h(m) = -m**3 + m + c*m - 5 - 3*m**2 + 0*m**3. Determine h(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17060 + -17055. Suppose 4*v = 2*d + 12, 2*v - 12 = -5*d + 6. Suppose 2*i = 3*a + 9, -v*a + 3 - 10 = -i. What is the remainder when k is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143)*3*2)\/(1*sqrt(11)*-5).\nAnswer: -6*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/18 and -29\/76462.\nAnswer: 688158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 + 0.1. Let g = 13 - 2. Let m = g + -6. What is the biggest value in k, 0.5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - j + 11 - 3, 3*j - 14 = -m. Let l be 2\/3 - (-16)\/(-6). Sort 5, l, m in decreasing order.\nAnswer: 5, m, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m. Let b(i) = -315*i. Give b(p) + 180*l(p).\nAnswer: -135*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - r - 84 = 0. Let f = 16 + r. Let w(c) = 3*c - 3*c + 18*c**f - 10*c**2. Let u(z) = -2*z. Calculate w(u(i)).\nAnswer: 32*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - (21 - (53 + -20) - 3)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 0 = -4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dxbxwtbxwxwm. Give prob of picking 2 b.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -20*g - 421. Let t be z(-26). Let v = 369 - t. List the prime factors of v.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 48\/120*(3 + -2). Which is the third smallest value? (a) o (b) -2\/11 (c) -6\/11 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 356298?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -389519 - 2*k + 194919 + 194600.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2545*i - 37373. Calculate a(16).\nAnswer: 3347","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + 4*z**2 + z - 1. Let x be r(-3). Sort 3, x, -3 in descending order.\nAnswer: x, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + 3*(sqrt(91) - (sqrt(91) + (sqrt(91) - sqrt(91)*1*6)) - 6*sqrt(91)*-1)\/((sqrt(189) - sqrt(189)*-1)\/sqrt(3)))*1)**2.\nAnswer: -11*sqrt(13) + 1577\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_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: b\"What is the jth term of 44004591, 88009175, 132013759, 176018343, 220022927, 264027511?\n\"Answer: 44004584*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(192) - sqrt(192)*1)*4)**2 + -2*(1 + sqrt(48) - (sqrt(3) + 1 + 0)).\nAnswer: -6*sqrt(3) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.2 or -2\/155?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2805 = -188*s + 8821 for s.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4 + 0 = 0. Suppose 5*l = -3*v - f*v - 270, -4*l = 3*v + 212. Let s = l + 167. Calculate the greatest common divisor of s and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = a + 3774, 22*a - 18*a + 8 = 0. Is 29 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.91209 rounded to one dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 19, -1, 0.\nAnswer: -12, -1, 0, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-5))\/(582\/(-485))*12*1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -318 - 8120*s**2 + 3920*s**2 + 318 in the form a + l*s**2 + c*s and give l.\nAnswer: -4200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -3*r - 25. Let x be c(-9). Let k(q) = 5*q**2 - 9*q**2 - 4*q**x + 1 + q**2. Let i = 3 + -2. Determine k(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20664489?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/45 and 31\/5525?\nAnswer: 49725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -6. Suppose 12 = 3*d - 0. Solve -f = -d*b - 26 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -227*b + 1. Let t(v) = 681*v - 2. Give 7*k(g) + 2*t(g).\nAnswer: -227*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 10093\nAnswer: -4\/10093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 6. Suppose 3*q - 34 = 4*z, 2*z - 1 - 3 = 0. Suppose 0 = -4*x - q - 2. What is the third smallest value in -1, n, x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -3*sqrt(847) + sqrt(847) + (sqrt(847) - (3 + sqrt(847) + 5)**2) + 2*((-1*sqrt(1008))**2 - sqrt(1008))*-4.\nAnswer: -8973 - 91*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + 14. Suppose p = -g*d + 8, 5*p + 0*d - 140 = 5*d. Let a = -13 + p. What is the highest common factor of a and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-5)\/(45\/18))\/((-2)\/659) is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*(1 + -3)\/1. Let z be (2 - a)\/((-2)\/2). Factor -4*h**z - 3*h - h + 4 + 4*h**3 + 0*h.\nAnswer: 4*(h - 1)**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 13\/2*13\/26?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -29*l - 42. Let s(d) = -14*d - 21. Let q(y) = -6*n(y) + 13*s(y). Let z be q(-6). Suppose 2*a - z = 5*a. Put 3, a, -3, 4 in decreasing order.\nAnswer: 4, 3, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24e57 (base 16) to base 3.\nAnswer: 21200022022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -221020110120121 (base 3) in base 16?\nAnswer: -ccabac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r - 4*r + 4*r)*(0 + 0 + 3*r**3 + (-2*r**2 + 0*r**2 + 3*r - 2*r)*(-2 - r + 2)).\nAnswer: -10*r**4 + 2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 11*w**2 - 13*w + 75. Let a(r) = 5*r**2 - 7*r + 38. Let k(z) = -13*a(z) + 6*d(z). Let j be k(-16). Solve 2*u = 12 - j for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o - o + o**2. Let i(p) = 0 + 6*p**2 - 2*p - p**2 - 1. Let d(w) = w**2 - 5*w - 1. Let f be d(5). Determine f*i(y) + 6*h(y).\nAnswer: y**2 + 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 37*u. Let k be c(-1). Suppose -25*v - 272 = -21*v. Let h = k - v. List the prime factors of h.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*r**4 + 1378*r**3 + 7*r**2 + 3208*r + 9 wrt r?\nAnswer: -24*r**2 + 8268*r + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3614 - 3598. What is the greatest common factor of g and 97?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 139*r**2 + 1960 + 5*r**3 - 289*r + 11*r**2 + 1161*r + 388*r.\nAnswer: 5*(r + 2)*(r + 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10197 + 14800. What is the hundreds digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 464 - 465. Which is the nearest to m? (a) -6 (b) -0.5 (c) 0.4 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3376?\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -591 - -605. Calculate the highest common divisor of g and 1883.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 3*v - 26, 5*l + 5*v = v + 65. What is the third derivative of -l*x**6 + 31*x**2 + 13*x**6 - 37*x**6 wrt x?\nAnswer: -4440*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 49\/2 of a millennium?\nAnswer: 2450","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 3888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of -2*y + 0*y**2 + 0*y**3 + 1\/12*y**4 + 0. Let w(p) = -p**2. What is w(n(i))?\nAnswer: -i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21412918?\nAnswer: 2, 47, 227797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 1:33 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of -h**4\/12 - 5*h**3\/6 + h**2 - 44*h. Determine t(4).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a - 12. Let k be n(-10). Let y be -1 - (0\/k - 2). Suppose -4 = 3*g + 4*c + 1, 5*g + 2*c - 1 = 0. Is g smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = -4*o - 12, -9*x = -5*x for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: -16 + ((-28)\/154 - 4\/132*-4659 - 2)\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 388622960 by 1859440.\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of 0*g + 0*g**4 + 0*g**6 + 5*g**2 - g**3 - 1\/35*g**7 + 0 + 0*g**5. Differentiate y(b) with respect to b.\nAnswer: -24*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -214 * -2677.54.\nAnswer: 572993.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -30275, -30278, -30281, -30284, -30287, -30290?\n\"Answer: -3*o - 30272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 5*f - 5 = 0, 5*y = -f + 10 - 1. Solve 2*k - 11 = 4*t - k, 5*k - 9 = y*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-385)\/(-38805))\/(2\/(-30)). Let a = u + -1\/199. What is the fourth smallest value in -18, -5, a, -0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 267 divide 107836761?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*q = 54*q + 34 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 212217564 divided by -101.\nAnswer: -2101164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q - 4. Let j be f(7). Let s = -4.17 - -0.17. Let m = 831 - 830. Which is the third smallest value? (a) s (b) m (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = j - 10. Let t be (-2)\/j*(-1 + 1). Suppose 0 = -2*g + f + 21, t = -5*g + 2*f - 3*f + 35. Does 8 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 1269*z + 12692. Let j be v(-10). Solve 5*n = 4*g - 25, -19*g + 14*g = j*n + 10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1815443915?\nAnswer: 5, 363088783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9800109 is divided by 3266702.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 299363 is divided by 37215.\nAnswer: 1643","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 6:41 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59974703?\nAnswer: 5563, 10781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 305*z - 1. Let f be x(1). Let h be 304 + 1\/(11\/(-2)). Let t = h - f. Which is the smallest value? (a) 5 (b) t (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4*n + 9 = 0. Let d be 13209\/14*2\/n. Let p be -1 - (d - -4)*1\/(-3). Round p to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/5*(-20)\/6. Suppose 5*s - 4*t = 10, 5*t + n = 3*s - 2. Let x(j) = -4*j + j**2 - 2 - j**2 - 2*j**2 + j**s. Determine x(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24856*k**3 + 32 + 52 - 24859*k**3 + 2*k**2 - 84 - 2*k**2.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 + 8*l + 6179. Let i(z) = 2*z + 1545. What is 2*f(o) - 9*i(o)?\nAnswer: -2*o**2 - 2*o - 1547","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -324 + 330. Suppose -838 = -r*s + 4196. List the prime factors of s.\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 3*d = 0, -289*d - 12 = 3*p - 290*d for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -118 and 82 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13 or 5856?\nAnswer: 5856","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -243, 60, 883, 2484, 5121?\n\"Answer: 43*j**3 + 2*j**2 - 4*j - 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -8 + (-9 - (-14 + 4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 0. Let t(q) = q + 3. Let f be t(-1). Let k(x) = 2 - x - 4*x - 7*x**2 + 6*x**f. Give k(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.3103 and 12.41780212.\nAnswer: 12.72810212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -9004*w + 21. Let t(x) = 13505*x - 34. Determine -8*c(a) - 5*t(a).\nAnswer: 4507*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0.5, -128\/13, 0.3, 2, 0.4 in decreasing order.\nAnswer: 2, 0.5, 0.4, 0.3, 0.1, -128\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 2:57 PM?\nAnswer: 4:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kv when two letters picked without replacement from {k: 2, v: 2, d: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 + 4. Let c(f) = -4*f - 7. Let y be c(w). Let h = 57 - y. Calculate the lowest common multiple of h and 4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhz when three letters picked without replacement from hhzzzzlzzhllh.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1990 and 110843?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 8076.\nAnswer: -8079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 507?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 217567\/18 + -12081. Find the common denominator of -83\/2420 and t.\nAnswer: 21780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(2 + -5 - -2). Let l = -204715 + 204719. Which is the biggest value? (a) v (b) -0.09 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - 342*n**2 + 528*n - 54963. Give v(-344).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.5 - -3.5000053. What is n rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w + 3. Let n be g(3). Suppose s - 2*s = n. Solve -3*r = 2*r + 2*t - 21, s = -3*r - 5*t + 24 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 585, 1170, 1755, 2340, 2925, 3510?\n\"Answer: 585*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, o: 8, s: 4}. What is prob of picking 1 f and 2 o?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = r - 448. Is r a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 45216?\nAnswer: 45212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 6*o**2 + 6*o + 14. Let u be g(-5). What is the tens digit of ((-2361)\/u - -3)*6\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/19, -2\/11, 167?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1419 and 65710579?\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1368\/7695*6\/(-8). Suppose 3*d = -0*d + 159. Let w = d + -370\/7. What is the third biggest value in l, 3, w?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -33160 - 515?\nAnswer: -33675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**2 - 2*p**2 + 0*p**2)*(4 - 770*p - 2 + 784*p).\nAnswer: 14*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yibiifimiimpfi. What is prob of sequence ipi?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 40 - 33535251?\nAnswer: -33535211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34\/41 - -2011\/492. What is the common denominator of -71\/12 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*j**2 - j - 7*j + 8*j.\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = n - 53, 4*n = -3*x + 6*x + 68. Is ((-8)\/x)\/(1\/(-4)) - -87 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/40 != -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 182 divided by 5550306.\nAnswer: 91\/2775153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 5619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 93859807 a multiple of 277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (3 + (0 - 0 - 2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1412659696 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 29 = 4*g, m + 9 = -0*g + 4*g. Let d be 3 + m - (0 - -10). Let z = d - -15. Is 2 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -193002196 + 193002196 + 2267*i - 2*i**3.\nAnswer: -2*i**3 + 2267*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2\/13, 7, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*q**4 - 5*q**4 + 2*q**2 - q + 10 - 12 to v*q**4 + n*q**3 + w*q**2 + g + p*q and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 27*x**2. Let i(p) be the first derivative of -p**4\/12 + 33*p**2\/2 - 13. Let f(m) be the second derivative of i(m). Give q(f(d)).\nAnswer: 108*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -6*u**2 - u - 1. Let a be y(-1). Let k = 7 - a. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -380 - -468323?\nAnswer: 467943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 7*g**2 + 0*g**3 - 24*g**2 - 4*g**3.\nAnswer: -4*g**3 - 31*g**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -57309, -114565, -171821?\n\"Answer: -57256*q - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 266299?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 423300 and 600?\nAnswer: 846600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2. Let s(p) be the first derivative of -544*p**3\/3 + 302. Give b(s(r)).\nAnswer: -295936*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -4*a - u - 4*u, -21 = -3*a - u. Suppose a*b = 2*b + 144. Is 9 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, x: 3, j: 1}. Give prob of sequence ax.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + (-3 - (-48)\/9). Let j = 37 - 36.6. Which is the closest to 1\/6? (a) q (b) j (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**3 - 2*k - 2*k**3 + k + (-k**2 + 0*k**2 - 2*k**2)*(3*k - 2*k - 2*k).\nAnswer: k**3 - k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 4 = 5*w - 6, -3*a = -w + 2. Let i be 5 - a\/(5\/(-5)). Suppose 143 = i*t - 162. List the prime factors of t.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 r when two letters picked without replacement from pprp?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 3728.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 6:00 PM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + -28\/3. Let v = -1.25 - -1.35. Sort -0.2, v, h, 1\/6 in ascending order.\nAnswer: -0.2, v, 1\/6, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1256 = -3*h - 296. Calculate the greatest common factor of 4 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of -t**2\/2 + 3*t + 6. Let c = 2686 - 2690. Let n(z) = z - 3. What is c*n(m) - 5*y(m)?\nAnswer: m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-30)*-5*-10. Which is the fourth biggest value? (a) y (b) -2\/11 (c) -8 (d) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 171.6 + -172. Which is the closest to 1? (a) g (b) 2\/13 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 + 4*r - 6. Let p be a(6). Let i = p - -38. Let t be 66\/10 + (-2)\/(-5). Solve 4*g = 3*b - 2 + t, -i = -4*b for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -182 + 104 - 3*f**2 + 2*f**2 + 127.\nAnswer: -f**2 + 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4143281*p**3 - 241*p**2 + 667 wrt p?\nAnswer: 24859686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 12 + (1 - -1) + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3212\/81906)\/(4\/85) + (-551)\/654.\nAnswer: -1\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -70.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 3*o - 191041 = 0, -6*u - 2*o + 143285 = -3*u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -10 + 13. Suppose 0 = k + 1 - 3. Are k and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/7 + 3364412*u\/7.\nAnswer: -2*u*(u - 1682206)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 5:36 PM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2600 divided by -200\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3207?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -728213, -728215, -728217, -728219, -728221?\n\"Answer: -2*k - 728211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -56626.3 times -1.4\nAnswer: 79276.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2*w = 3388, 10*f - 5*f - 16916 = 2*w. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -0*k + 4*k, 0 = -3*b - 5*k - 10. Suppose 2154 = b*j + 774. What is the greatest common factor of 12 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 5185.55 centuries?\nAnswer: 518.555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c - 12, -2*n + 5*n = 5*c - 17 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 59 = 3*k, 2*t + 173 = -3*t + k. Let a = t + 63. What are the prime factors of a?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-64)\/(-4)*(-666)\/444.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 4 - 3)*(2 + 3 - 4) + 2 - 4 + 0 - 1 + 3 - 3 + 2 - 6 + 3)*((-1 + 2 + 1)*(-3*z - 2*z + 3*z) + (-2*z - 2 + 2)*(1 - 4 + 2) - 15*z - 17*z - 3*z).\nAnswer: 185*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1098356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (22 - 71136\/(-126))\/((-1)\/(-7))?\nAnswer: 2, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r**2 - 3. Let j(s) = -1. Let v(y) = 3*j(y) - n(y). Let f(p) = 18*p - 4*p - 6*p - 3*p**2 + p**2 - 6*p. What is v(f(t))?\nAnswer: 8*t**4 - 16*t**3 + 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1716*i*j**3 - 2*i*q + 12165*i + 3*j**3*q + 7*j**3 + j**2*q + 2 wrt j.\nAnswer: 10296*i + 18*q + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**2 + 1 - 1 - 2*d + 5 + 4*d**3 - 4. Suppose -3*u + 6*u = 5*m + 13, -1 = -u. Let i(j) = 5*j**3 + 2*j**2 - 3*j + 1. Determine m*i(a) + 3*h(a).\nAnswer: 2*a**3 + 2*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 82, 173, 264, 355, 446?\n\"Answer: 91*n - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*z + 85*z - 192*z = 4*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48 - 7*s + 104 + 2*s**4 - 3*s**3 - 53 to the form g*s**4 + n*s**2 + y + w*s**3 + t*s and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1276, 893, 510?\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-69 - 28) + 29 + -26?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vggvggvgvg. Give prob of picking 2 g.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 14 - 44. Find the first derivative of -t**3 + 73*t**4 + t**3 - h - t**4 wrt t.\nAnswer: 288*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -7*d + 55. Suppose -3*n + 4*n = -4*y - 11, -y - 3*n - d = 0. Sort y, 1, 0 in descending order.\nAnswer: 1, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.905 - 1.935. Put -3, 1.7, m in ascending order.\nAnswer: -3, m, 1.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7732 is divided by 87.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -4277*u + 115476. Calculate c(27).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 85362 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(125)*3 - sqrt(125) - sqrt(125)*-3*4)**2.\nAnswer: 6125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 - 18. Suppose -2*c - 4 = -2*j, 3*c + 3 - 7 = -2*j. Solve l*g + 12 = -3*b, -j*b = g + 2*g + 9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 320 + -3?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 + -1.34. Let x = 1.96 - m. Which is the third biggest value? (a) x (b) -5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + 1 - (9 - 15) - 8?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25166 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -60459, -120870, -181281?\n\"Answer: -60411*d - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 AM and 1:23 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + 2. Let u(s) = -s**2 - 19*s - 69. Let z be u(-14). What are the prime factors of (-128)\/q*z\/(2\/(-5))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 137\/17 - -353\/68. Calculate the common denominator of p and -23\/108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -3*i**2 + 54*i + 3046. Give a(-24).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(2448)*1 - sqrt(2448)) + 3)**2*3.\nAnswer: 648*sqrt(17) + 66123","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 4*t - 20. Suppose -3 = -3*q + 3. Let y(w) = w - 7. Let v(m) = q*c(m) - 7*y(m). Give v(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 2:12 PM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 11:58 AM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 108 - 1186\/11. What is the second biggest value in 2, 4, h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + -4. Let k = -89\/240 - 31\/240. Which is the fourth smallest value? (a) -2 (b) f (c) -1\/6 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 divided by 18.\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -78.92 - 0.08. Let c = f + 78.99999913. Round c to seven dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1022 is divided by 64?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -847, -13855, -35515, -65827?\nAnswer: -104791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-24)\/(-18)*6\/4. What is the derivative of -9 - 2*a**2 - c - a**2 + 7 wrt a?\nAnswer: -6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 1373*z**3 + 283*z**2 - 6*z + 3. Let j(q) = -1375*q**3 - 283*q**2 + 8*q - 4. Let o(s) = 4*a(s) + 3*j(s). Find the third derivative of o(n) wrt n.\nAnswer: 8202","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1591*a + 6907*a + 10968*a.\nAnswer: 19466*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -2479.\nAnswer: -2479, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70 + (160 - 122) + -14 + -3 + 3?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 22 = -14. What is the smallest common multiple of 3 and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90850*u + 145427*u + 16 - 16.\nAnswer: 236277*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 761, 1516, 2273, 3032?\n\"Answer: t**2 + 752*t + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + 12*x**2 + 28*x. Let b be c(14). Suppose b*m - 4*y + 55 = m, 3*m - 141 = -4*y. What are the prime factors of m?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 7. Let f = 4 + y. Solve k + 2 = 3*k - 5*x, 8 = -3*k + f*x for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 85*r**2 + 3*r**2 - 2 - 21*r**2 + 32*r**2 + r**3 in the form s*r + c*r**2 + t + g*r**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14922.\nAnswer: 2, 3, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 4090*f + 853. Is j(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1615600 to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n = 13*n. Let a(h) = -h**3 - 6*h**2 + 2. Let w be a(-6). Let g(f) = f - 3*f**w + f**3 + n*f**3 + 2 + 0*f. What is g(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 177 + -177. Solve 0 = y + 2*p - g*p - 4, -p + 2 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -583 - -379. Let z = -114 - m. Let p = -90.00000306 + z. Round p to 7 decimal places.\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z - 4. Let m be q(-6). Let o be 3\/(-4) - (-105)\/28. Suppose o*g - 44 - 28 = 0. Calculate the greatest common divisor of m and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9596760 and 330?\nAnswer: 105564360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 44417295301 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66, -127, -178, -219, -250?\nAnswer: -271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 47519783, 47519784, 47519785, 47519786?\n\"Answer: g + 47519782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 PM and 12:15 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4116817 is divided by 1898?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 349.088?\nAnswer: 1745.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 11:48 PM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*y**3 + 50*y**2 - 9 + 0*y**4 - 2*y**3 - 2*y + y**4 + y**3 + 0*y**4 as k*y**2 + q*y**4 + z + p*y**3 + g*y and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-9)*w)**(-18\/7) assuming w is positive.\nAnswer: w**(-198\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 6*c. Let q(n) = -62*n**2 + 20*n - 5. Let h(i) = -31*i**2 + 12*i - 3. Let b(a) = -5*h(a) + 3*q(a). Determine o(b(g)).\nAnswer: -186*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 23399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -7*i + 96. Suppose -5*s = 9*s - 168. Let x be k(s). Calculate the greatest common factor of x and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 371.3148m?\nAnswer: 371314800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 417 - 623 + 206 - 2*z**2. Let d(i) be the first derivative of 41*i**2\/2 + i + 1. Determine d(c(a)).\nAnswer: -82*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 777 + -759 + 16 + 0?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3031588993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23\/12 + 9\/4. Sort 0, -0.5, i in decreasing order.\nAnswer: i, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of q**3\/12 - q**2\/8 - 3*q + 255. Determine t, given that s(t) = 0.\nAnswer: -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 231 - 219. Let f be (144\/30)\/(i\/400). What is the greatest common factor of f and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20 - k**2 - 17 + 0*k**2 + 9*k + (-9 + 9 - 3*k)*(-1 + 1 - 2*k) - 4*k**2 - 2*k**2 + 5*k**2.\nAnswer: 4*k**2 + 9*k + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 + -14. Let j be 3 - (4 + 0)*-1. Suppose j*v - 18 = 4*v. Solve o*p - c + v = -0*p, c = 5*p + 10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q + 30. Let j be z(21). Suppose 0 = -2*f + 5*m + 33, 5*f = -m + j + 6. Solve 0 = -3*g + f*g - r - 4, -2*g + 14 = -5*r for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of 3*v**5\/5 - 51*v**4\/2 + 373*v**3 - 2142*v**2 + 5292*v + 672. Solve i(d) = 0 for d.\nAnswer: 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -393 = -a - 3*t, a + t - 300 = 85. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.274134 litres?\nAnswer: 274.134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -78 - -81. Let i be -1*((-3)\/1 - -1). Solve -5*v - 3*s = r - 7, 14 = 5*v - i*s for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54281734 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 34*d**3 - d**2 + 2*d - 2. Does 33 divide u(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 501833272 to the nearest integer?\nAnswer: 22402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37144.\nAnswer: 2, 4643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103501 is divided by 1307.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1a1a8 - 32?\nAnswer: -1a1da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 + -18. Solve 5*m - 5 + 15 = o for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -52 or 3\/28?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -34 - (-4 + -7 + 20 + -10 - 10 - -4).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r - 8*r - 3*r + (-2 + 5 - 1)*(-1 - 3*r + 1))*(5*r - 7 + 7).\nAnswer: -95*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -169, -3, -64, 1 in increasing order.\nAnswer: -169, -64, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/11*r**5 + 0 - 14\/11*r**3 - 10\/11*r**4 + 12\/11*r + 10\/11*r**2 = 0. Calculate r.\nAnswer: -1, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from waxwaxaaxxaxx. Give prob of picking 1 w and 1 x.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/133380 and -3\/271700.\nAnswer: 7335900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/((c*(c**(-13)*c)\/c*c)\/c))**46 assuming c is positive.\nAnswer: c**644","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -30120 + 2?\nAnswer: -30114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -4*i + 27. Let n(s) = -s - 6. Let v(u) = -l(u) - n(u). Give v(10).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -310.9 - -321.9. Are a and -124 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -6 + 10 + -1 + -1. What is the first derivative of x + 4*u + 0 - 3 wrt u?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 1012, 1, 0 in decreasing order.\nAnswer: 1012, 1, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -4, 4 in descending order.\nAnswer: 20, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + (-2)\/((-66)\/27). Let k = 107 + -112. What is the second biggest value in q, 4, k?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22315 - 22315.000035698. Round c to 7 dps.\nAnswer: -0.0000357","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + 6 + -2 + -17.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1646039787 to the power of 1\/2, to the nearest integer?\nAnswer: 40571","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + o**2 - 1. Let t(n) = -8*n**3 + 6. Let u(f) = 6*j(f) + t(f). Find the third derivative of u(y) wrt y.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/2 in 0.3, -1\/6, -0.4, -1071.7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**2 - 4*l + 3. Suppose -3*u - 24 = 3*u. Let d(i) = -i**2 + 3*i - 3. Let x(r) = u*d(r) - 3*c(r). Find the first derivative of x(h) wrt h.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*w - 2*w + 2*w)*(-w + 35*w + w) + 12 - 12 - 9*w**2 + (-w - 2*w + w)*(-4*w - 2*w + 4*w) to the form s*w**2 + p*w + b and give s.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**3 + 27*n**3 + 11*n**3 + n**3 + 27*n**3.\nAnswer: 63*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -78?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5\/278084, -4\/7, 10?\nAnswer: 5\/278084","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 28*j. Let i(v) be the second derivative of v**4\/4 - 11*v. Calculate i(r(z)).\nAnswer: 2352*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*x**3 - 10*x + 9*x**3 - 5*x**4 + 5*x**2 - 7*x**3.\nAnswer: -5*x*(x - 2)*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5399571?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2478 and 0.2.\nAnswer: 2478.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/52)\/(3\/(-8)*-1)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1318690 is divided by 4455.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.13 and -13.\nAnswer: -1.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -385.871.\nAnswer: -372.871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*t, 4*b + 1 = -3*t - 5. Let o be (b\/(-1))\/(-14 - -16). Determine j so that o*j**2 + 0*j + 0 - 5\/2*j**4 - 2*j**5 - 1\/2*j**3 = 0.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 527, 525, 523, 521, 519?\n\"Answer: -2*i + 529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 73 or 59?\nAnswer: 73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 93 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 5:34 AM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w. Let q(g) = 3*g. Let o(m) = -3*q(m) - 8*s(m). Let b(t) be the first derivative of -17*t**2\/2 + 3. Give o(b(a)).\nAnswer: 17*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-9 - (3 + -8)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/3*-3*(-3)\/(-15).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4 = 2*x, -x = -4*x - c + 6. What is the tens digit of x\/2 + (-693)\/(-22)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/67275 and 47\/45977.\nAnswer: 134482725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -222, -437, -652?\n\"Answer: -215*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-81)\/1*((-15)\/(-27))\/((-395)\/237).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 172*z**3 + 40*z**2 + 168*z**3 - 6*z - 7*z**2 - 338*z**3 as d*z + l*z**2 + j*z**3 + b and give l.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 396 divided by -99\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 8:51 PM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (148\/(-75) + 2)*-10. Do -2.6 and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1250 or 188?\nAnswer: 188","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*v + 48*v = 2. Let a(c) be the second derivative of -1\/2*c**v - 5\/12*c**4 + 0 + 0*c**3 + 3*c. What is the derivative of a(r) wrt r?\nAnswer: -10*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 37\/5 of a meter?\nAnswer: 740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 130111746.\nAnswer: 520446984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 6*b - 2*b + 0)*(-b - b + 1 + 1).\nAnswer: 16*b**2 - 12*b - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 f when two letters picked without replacement from jwwrrwjfwfwrr?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 209 + 736 = 3*z. Suppose -5*n = -0*n + z. Let q be (0 - -1)*7\/n. Which is smaller: -1 or q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 181, -0.4, -0.3, 15?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25627452 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (4 - -2) - -5 - -6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -438.5 - -436. Which is the third biggest value? (a) -16 (b) f (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-174)\/(-47 - -4223) + 7*(-39)\/(-3096)?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 49 - 6*z**2 + 48 - 12*z - 118. Let c be j(-2). Is -148\/7 smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 4*x**2 - 3. Let m be (4 + 56\/(-12))*3. Let a(i) = 9*i**2 - 7. Calculate m*a(h) + 5*z(h).\nAnswer: 2*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 23, 112, 205, 302?\n\"Answer: 2*y**2 + 83*y - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and -32.6870888?\nAnswer: 32.5870888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 2 = -4*g. Let n be (-620)\/12 + 1\/(-3) + g. Let x = n + 53. Solve -c - 1 - x = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 124, 1, 3, 3\/4, -9\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-966)\/(-60) - (-6)\/(-60). Solve 4*m = 4*a + v - 0, -5*m = -2*a - 23 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1860 and 1520160.\nAnswer: 47124960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 53 + 959a?\nAnswer: 9631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 34288876 equal to 34288876?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) -8547 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 355*m + 7*m - 62*m = -233*m - 13858 for m.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 22*h**2 - h - 21. Calculate y(-22).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/10 of a millimeter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-38)\/(-10) + -2)*(17586\/270 - 65)?\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**2 - 22*k - 32. Calculate u(16).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5*132\/(-825)*-5*1. Sort 5, -1, s, 3 in descending order.\nAnswer: 5, 3, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -35562*p**2*s**2 - 149617*p**2*s + 29*p*s + 4*s**2 wrt s?\nAnswer: -71124*p**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**2 + 6*l - 18. Let a(g) be the second derivative of g**4\/12 + g**3\/3 - 3*g**2 - 5745*g. What is -7*a(i) + 2*z(i)?\nAnswer: -3*i**2 - 2*i + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*o + o**2 - 2*o**2 - o + (0 + 0 - 2*o)*(3 - 3 + o) to the form p*o**2 + d*o + g and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/4 or -357?\nAnswer: -357","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 763 - 10651\/14. Find the common denominator of r and (-28)\/(1120\/(-25))*(1 - 2).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, 4682, 50 in increasing order.\nAnswer: 22, 50, 4682","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 352 and 800?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 294 and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 179 and -13.91.\nAnswer: 165.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9641799 is divided by 51?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8515731?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 166b5 + 13?\nAnswer: 16708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 4*d = 20, 4*d - 13 + 1 = h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(627) - sqrt(627)*1 - sqrt(627) - sqrt(627))\/sqrt(11) - sqrt(57))\/(sqrt(3) - (1*sqrt(147) + sqrt(147))).\nAnswer: 3*sqrt(19)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 405\nAnswer: 1620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2564.\nAnswer: 2, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3558, -4059, -4560, -5061, -5562?\nAnswer: -6063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-125)\/(-10)*(-6)\/(-3). Suppose 21*s = 16*s + t. Which is the closest to -1? (a) 0.2 (b) 2\/3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u + 10. Let d be (-9)\/(-2 - (-4 + 1)). Let r be b(d). Sort 3, -1\/2, r in decreasing order.\nAnswer: 3, r, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4346 and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -121869 + 121869 - 1776*s to g + f*s and give f.\nAnswer: -1776","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z - 3. Let l(t) = -12*t - 27. Let b(y) = -l(y) + 9*r(y). Let a(p) = 11*p. Let v(o) = 9*a(o) - 4*b(o). Let s(x) = 4*x. Calculate s(v(m)).\nAnswer: 60*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 227 divide 2050400200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 9.717, 0.5, -35924 in increasing order.\nAnswer: -35924, 0.5, 9.717","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4.2299 in 6\/13, 0.3, -4, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116103708?\nAnswer: 2, 3, 7, 53, 8693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*x + 918 = 72*x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence syf when three letters picked without replacement from fffffffffsysff.\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5455579*j - 110 = -5455573*j - f, 0 = -4*j + f - 74 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-55)\/252 - 3\/(-12). Let n = -2\/3 - -1\/6. Let z = 7\/6 + -19\/15. Which is the smallest value? (a) n (b) s (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 39, -4, -1.5, -0.5?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*q - 3 + 0*q + 2*q + (-3 + 0 + 5)*(0 - 2*q + 0).\nAnswer: -6*q - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 242 + -78. Is 16 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (6 - (-23 + 17)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*-2*(-18)\/2. Let t = -142 + 232. What is the highest common factor of t and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1305 + -1305. Let u = -12 + 11.7. Which is the nearest to -0.2? (a) z (b) -2\/9 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (414\/(-345))\/(18\/(-10))*(-30)\/4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4425550 (base 6) to base 14\nAnswer: -5aa94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4 + (sqrt(242)*-2*1 + sqrt(242) - sqrt(242) - (sqrt(242) + -5 + sqrt(242)*-2 + sqrt(242)))**2) + 1.\nAnswer: -1320*sqrt(2) + 5935","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 40994611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(4\/7)\/(o\/(o**(7\/6)\/o))*o**(1\/8)*o**5\/o*o)**(2\/71) assuming o is positive.\nAnswer: o**(817\/5964)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/10, 1\/8, -13, -5, -1\/4 in increasing order.\nAnswer: -13, -5, -1\/4, 1\/10, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -480917*c + 4*h = -480915*c + 4, h - 23 = -5*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 542650025*o**2 - 8 + 542650039*o**2.\nAnswer: 14*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 5562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -64.4074 and 0.7.\nAnswer: -63.7074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4198 is divided by 419?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -11*p - 62. Determine t(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -9123*(-7)\/(84\/38056). Suppose -o = 4*c + 35535290. Let m = 6016841 + c. Round m to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = 4*i + 2*f, -3*f + 0*f = 0. Let h = i - 20. Suppose 6*j - j + 485 = h*k, k = -4*j + 102. Does 15 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 4*y - 4*y + 2*y + y - 5*y + (-3*y + 5*y + 0*y)*(-4 + 1 + 2) + 2*y + 4*y - 4*y)*(0 + 1 + 1).\nAnswer: -16*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 38292686827 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6*-4*(-2)\/12. Suppose -74 = -a*p + 2*h, h - 71 = -p - 3*p. Calculate the remainder when p is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from iiimiimii?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/380)\/((-52)\/130)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 449274, 898389, 1347504, 1796619?\n\"Answer: 449115*z + 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39\/377 - 91663\/4147?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 11, -328 in ascending order.\nAnswer: -328, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/4*(-3 + -1). Suppose 4*d - r - 47 = 0. Suppose t - 28 = 2*l, -12*l + 10*l - 8 = 0. Calculate the remainder when t is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -199\/32520 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 81\/1777679 or 0?\nAnswer: 81\/1777679","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 2 c, and 1 e when four letters picked without replacement from {e: 4, n: 1, d: 1, c: 2, m: 4, r: 2}?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.35801 and 1.3?\nAnswer: 0.465413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.3792191 seconds?\nAnswer: 379.2191","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o + 0 + 1\/4*o**3 + 11\/4*o**2 = 0. Calculate o.\nAnswer: -7, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23.9114 * -4\nAnswer: 95.6456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 90\/25 + 2\/5. Let f(a) = 41*a - 1. Is f(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -77*w**2 - 38*w - 329. Let r be d(-6). Is r < -2873?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/3 of a week in hours?\nAnswer: 3976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in -22, 1, -5, 0, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -45*6687021\nAnswer: -300915945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b - 6. Let p be d(9). Suppose 29 = -p*f + 8. Which is greater: f or -8?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 - 8*b + 7. Determine a(-7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5559 to the power of 1\/2, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4 + (sqrt(19) - -5*sqrt(57)\/sqrt(3)) + 3).\nAnswer: 28 + 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.77, 1\/9, 7\/71, -4 in decreasing order.\nAnswer: 0.77, 1\/9, 7\/71, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 503 a factor of 1497573349?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 69\/(-138)*(-4)\/15*-3*9\/(-99)?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 1\/10*q**3 - 77\/5*q - 136\/5 - 7\/10*q**2 = 0.\nAnswer: -8, -2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 3*q - 18*r, 0 = -3*q - 4*r + 16584 - 16565 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -139375600.66 - -0.1.\nAnswer: -139375600.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001121 (base 3) to base 10.\nAnswer: -772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 0 - 7)*(2*i**2 - i + i) + (-5*i + 3*i + i)*(-4*i - i + 3*i) + i**2 + 3*i**2 - 5*i**2 as j*i**2 + h*i + g and give j.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-1)\/(70\/(-5))*-98?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 104666 (c) 190\/7 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i**2 - 1669*i - 1670 = 0. What is i?\nAnswer: -1, 1670","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + 6*b**2 - b - 6. Let r(d) be the first derivative of -5*d**3\/3 + d**2\/2 + 5*d + 168. Give -5*c(n) - 6*r(n).\nAnswer: 5*n**3 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24510\/13 + -1297691\/689. Which is bigger: 3 or l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -2*m**6 + 23*m**2\/2 - 22. Find the second derivative of c(d) wrt d.\nAnswer: -240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 8 = 0, -9*k - 30*y + 16 = -12*k + 11*k - 20*y for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 4:12 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -702, 0.1, -3, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 20 = 3*p. Suppose -3*g = 5*b - 18, p*b - 6 = -4*g + 10. Find the common denominator of 57\/10 and ((-32)\/b)\/(35\/15).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.12 - 2489380.\nAnswer: -2489380.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1207*m**3 - 1200*m**3 + 0*m + 0*m.\nAnswer: 7*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -6*m**2 + 9 - 286*m + 39*m**2 + 291*m. What is the tens digit of a(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a**3*f**2 - 2798092*a**3*f*n + 2*a**2*f**2 - 51428*a**2*n - a*f + 2*f**2*n wrt a.\nAnswer: -6*f**2 - 16788552*f*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6341 - 8966. Do -2626 and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 210 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -3255019 less than -3255018?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5999 - 5742. Calculate the remainder when y is divided by 86.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15836\/3 + 5280. Factor -p*d - 8\/3*d**2 + 0 - 4\/3*d**3.\nAnswer: -4*d*(d + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o - 1. Let y(x) = 3*x**2 - 2*x + 2. Let b(z) = 2*t(z) + y(z). Let r(n) = -2*n**2. Give r(b(s)).\nAnswer: -18*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 388\/(-291) + (-14)\/(-24). What is the nearest to 0 in 0.8, 3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2\/7412045 + -376472589662\/81532495. Let j = -4621 - l. Let h = 139909\/8310 + -4\/1385. Calculate the common denominator of h and j.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 0 (c) -0.117 (d) 4 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1686 + 599 = -189*g + 803 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -91250 by -146.\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 12 + 27. Let m(p) = -4*p + 3. Let q(n) = -2*n + 2. What is b*m(f) - 5*q(f)?\nAnswer: -2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 219 a factor of 15508923?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 175221, 700909, 1577047, 2803629, 4380649, 6308101, 8585979, 11214277?\n\"Answer: -f**3 + 175231*f**2 + 2*f - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-2)*13\/78.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 11*u**5\/3 - 658*u**4\/3 + 2201*u**3\/3 + 268778*u**2\/3 - 221236*u\/3 - 49096\/3 = 0?\nAnswer: -17, -2\/11, 1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - 4\/(-10))\/((-3)\/75). Suppose 0 = -2*r + 5*r - 12. Solve -g + z = r*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 7) to base 6\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-1)\/3)\/((-42)\/18) + (-930)\/4844 and 89\/2.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/344 and 85\/48.\nAnswer: 2064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -394 (c) -0.0378\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d7d - 1?\nAnswer: -d7e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -788946*j**3*q**2 - 5*j**3*q + j**2*q**2 - 25*j**2*q + 725*j**2 - j*q - 5*q**2 wrt q.\nAnswer: -1577892*j**3 + 2*j**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a + 10. Let l = -5 - 2. Calculate the remainder when 6 is divided by b(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 0. Let v = 45 - 44. What is the nearest to v in k, 0.5, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 566*d - 566*d - 2*d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -20298 + 3301 - 3083 - 2*i as f*i + w and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7661 - 7659. Solve v - 4 = u*y + 2, 2*y = 4*v - 18 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n**2 + 2*n**2 + 2*n**2 + 5*n**2 + 0*n**2.\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) -96 (c) 5 (d) 3 (e) -0.26 (f) -0.0364\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/12 and -48\/55.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 12*v**3 - 3*v**2 - 4*v - 2. Let g = -34429 - -34428. What is t(g)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165559083279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -83\/6 - -605\/42. Let d be 3 - 3\/(-3)*-1. Factor -r*i**3 - 2\/7 - 2\/7*i**4 + 2\/7*i**5 + 2\/7*i + 4\/7*i**d.\nAnswer: 2*(i - 1)**3*(i + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.31 - -0.310023. Round n to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -25*d*x**2 - 3425*d*x - 398921*x**2 with respect to d.\nAnswer: -25*x**2 - 3425*x","meta":{"dup_signals":{},"source":"calculus__differentiate_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: What is 86.81726 nanometers in centimeters?\nAnswer: 0.000008681726","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 735119 to the power of 1\/3, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/(-2)*4\/6. Let o(r) = r**2. Let x be o(t). Let j be (-20)\/25 + x\/5. Solve -3*a + 2 = -j for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {g: 1, w: 1, p: 8, e: 6}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, l: 8, x: 2}. What is prob of sequence plxl?\nAnswer: 2\/117","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 - 5*g**2 + 3*g - 28. Let p be c(5). Let z be 6\/2 + (-16 - p). Solve 4*y + 4*m - 4 = z, 2*m + 5 - 1 = 4*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80.7891 centuries to months.\nAnswer: 96946.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rv when two letters picked without replacement from vrvrvtrtkv?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 1:25 PM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (45\/(-20))\/((-12)\/16). Solve 4*v = 5*p - 0*p - 5, -n*v - 5*p = -5 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/9 + 325652\/306?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 3*l = 75, 0 = -4*s - 5*l - 37 + 110. Suppose 3*c = 3 + s. Suppose 0 = -c*w + 8*w - 51. List the prime factors of w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2812, -111, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 53 + 4?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 174057, 173987, 173917, 173847, 173777?\nAnswer: 173707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/24 - (-140)\/(-3). Let l be u*154\/(-152) + (-5)\/20. Let f = l + -28014\/589. Are 1 and f nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101202021011 + -12?\nAnswer: -101202021100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (41 - 42) + (-1 - 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 3*u**2 - u. Let x be w(1). Let g = 29 + -17. Suppose -3*p = -8*p + 20. Solve p*h - 6 = -h - x*a, 5*a = h - g for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-1\/6)*u*u*u*u**(-10) assuming u is positive.\nAnswer: u**(-43\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 + 25. Suppose -3*y - 11 = -w, -3*w - 2*w = 2*y - 21. Suppose -452 = -w*t + b + x*b, 94 = t - 2*b. What are the prime factors of t?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.031223 + 0.0317. What is n rounded to five dps?\nAnswer: 0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -7 + p**2 + 0 - 4*p + p. Let t be s(5). Factor 72*j**3 + 4*j**4 + 3*j**5 - 69*j**t + 2*j**4.\nAnswer: 3*j**3*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6177.46 and 80.\nAnswer: -494196.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k + 5*k + 4*k + 3*k**3.\nAnswer: 3*k**3 + 12*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13734 and 2210411?\nAnswer: 763","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24029253 to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 98 and 35?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/10)\/(25\/311250*166)?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 13*d + 38001 = 0. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 12:05 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 27*l**2 - 31*l + 22. Give g(26).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from liliiiillllil. Give prob of picking 1 i and 1 l.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -904 - 11 = -5*k. Let p = 280 - k. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 5*w**2 + 3*w - 3. Let v(r) = -r - 2. Let d be v(6). Let u be 252\/(-196)*(-5 - (-88)\/12). Let s(q) = -16*q**2 - 8*q + 8. Determine d*p(l) + u*s(l).\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.227167761 to four decimal places.\nAnswer: -1.2272","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = -5*m + 50, 8*d = 5*m + 4*d - 45 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of i**3\/3 + 3*i**2\/2 - 2*i - 3. Let s be r(-4). Solve x + s = -0*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/671 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 68\/(-51)*(-3)\/(-10).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 8. Sort -3, u, -1 in increasing order.\nAnswer: -3, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 - 366*v**2 + 611*v**2 as g + m*v + b*v**2 and give b.\nAnswer: 245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 4) to base 5.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 392 - 28*g**2 + 391 - 783.\nAnswer: -28*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3b21d68 - -3?\nAnswer: -3b21d65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-3 + 1)*8. Let c = -6 + q. Let b(h) = 7 + c*h**2 + 0*h**2 + h**2 - 2*h**2 + 6*h. What is b(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -525.\nAnswer: -1\/525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -285, 2, -1, -4, 2587.\nAnswer: -285, -4, -1, 2, 2587","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 729 is divided by 194?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3*(7 + 4149\/(-594))*4\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g\/g**2*g*g)\/g)\/g**5*(g**(-2\/7)\/g)**47)**(-4\/7) assuming g is positive.\nAnswer: g**(1804\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1582 and 5424.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1744 - 1737. Let j(s) be the second derivative of -1\/35*s**5 + 2\/147*s**i + 0*s**3 - 4\/105*s**6 + 15*s + 0*s**2 + 2\/21*s**4 + 0. What is c in j(c) = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 3*k**2 + 0*k**2 + k**2 + 7*k to the form r + n*k**2 + v*k and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -406181 or -406063?\nAnswer: -406063","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 19645, 38895, 58145, 77395?\n\"Answer: 19250*i + 395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -42, -52, -62, -72, -82?\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -56 + 89. What is the greatest common divisor of s and 231?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -3258*v + 1893. Let t(w) = -3189*w + 1894. Let i(l) = -2*r(l) + 3*t(l). What is the derivative of i(g) wrt g?\nAnswer: -3051","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16333103 to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13717960.\nAnswer: 2, 5, 342949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0053 + 0.0493. Let a = -1.9454 - j. What is the third smallest value in -1, a, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 68 + 3. Suppose 4*x - o = -4*h - h, 2*h - 31 = x. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2540753329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 33864407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -4*i + 112, 5*i + 7*a = 4*a + 116. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.1 (b) -5 (c) -3 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*d - 25 - 10 + 35 to i*d + v and give i.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9410*d**2 + 0 - 9410*d**2 - d**3 + 351*d**3 + 0.\nAnswer: 350*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -5*v + 12. Suppose j + 8 = m, 0 = j - v*j - 5*m + 13. Let a be j\/(-4) + ((-1926)\/8)\/(-3). What is the greatest common divisor of a and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 147575853 and 339?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 44.\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -437, -4096, -14045, -33434, -65413, -113132?\nAnswer: -179741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 6 + 4 = 0, 0 = -r + s + 38. Let b(x) = 2*x**3 - x**2 - 3*x + 2. Calculate the least common multiple of b(2) and r.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -13da + 1eb?\nAnswer: -11ef","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11027\/21 - 525. Let g = 6 + -6. Suppose -4 - 5 = 3*z + 2*f, 3*z - f = g. Is z equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10*n**3 + 0*n - 3*n - 4 + 3*n wrt n?\nAnswer: 30*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 12:32 AM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -68 - (-29 - 23).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.6 - -3.4. Suppose -2*g + 1 = -g. What is the smallest value in -2\/7, g, u?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18185 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -23, -0.2, -1 in descending order.\nAnswer: 5, -0.2, -1, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + g - 1. Let r(n) = n**2 - n - 2. Let z(o) = -11*o**2 + 66*o + 3. Let d be z(6). Determine d*w(b) - r(b).\nAnswer: 2*b**2 + 4*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16499 is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 20*p + 71. Let t be b(-3). Suppose -13*j + 6 = -t*j. Calculate the highest common factor of j and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*l**2*r**4 - 13*l**2*r**2 - l**2 - 5*l*r**6 - l*r**3 - 3*l*r**2 wrt r.\nAnswer: 288*l**2*r - 600*l*r**3 - 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 333 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11469 is divided by 74.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1863 + -1176. Suppose l = 3*i - h, -699 = -2*i - i + 5*h. Is 38 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -6*s**2 + 6*s - 2. Let f(m) = -31*m**2 + 31*m - 11. Let u be 1\/(1\/3*(-12)\/(-8)). Let o(i) = u*f(i) - 11*b(i). Determine c, given that o(c) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -3*m + 432, 101 + 43 = m - 2*x. Let l = 199 - m. What is the remainder when l is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -8*i**2 - 11*i + 20. Let m(h) = -5*h**2 - 8*h + 14. Determine -5*a(n) + 7*m(n).\nAnswer: 5*n**2 - n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-1\/2)*n)**31)**14*((n\/(n\/((n**(1\/9)*n)\/n*n)))\/n*n*n\/n**(2\/7))**(-12\/11) assuming n is positive.\nAnswer: n**(149921\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1243, 1594, 1857, 1990, 1951?\n\"Answer: -7*w**3 - 2*w**2 + 406*w + 846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 371, 686, 1001, 1316, 1631?\nAnswer: 1946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -40*z**2. Let b(v) = 9*v**2 - 7916 + 0*v + 6*v + 7916. Let h(l) = -l**2 - l. Let y(x) = b(x) + 6*h(x). Calculate y(c(n)).\nAnswer: 4800*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u**3 + 57*u**2 + 3423*u + 62. Calculate o(-30).\nAnswer: 2672","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 162335 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2304856, -2304885, -2304930, -2304991, -2305068?\nAnswer: -2305161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 - 3 - 2 - -2. Suppose -4*q = -4*g - 24, q - 7 = 2*g + w. Find the second derivative of s**3 + 0 + 2*s + 0 - 3*s**q wrt s.\nAnswer: -12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -a - 38. Calculate the remainder when 54 is divided by a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44703604 and 52.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 4*t + 7*t. Solve 3*r = 3*w - t, 5*r + 16 = -5*w - 24 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -388*h + 40 = -380*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 150 and 3370?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m**3 + 2*m**3 + 7 - 1 - 5*m**3.\nAnswer: -6*m**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (b**2 - b**2 - 4*b**3)*(-1 - 2*b + 1) - 4*b**4 - b**4 + 0*b**4 as h + f*b**2 + m*b**4 + i*b + o*b**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29 - 175 - 5)*(-8 - 6*c + 8).\nAnswer: 1254*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -7. Suppose 3*z = 2*j + m - 4, -3*j + z - 13 = 0. Let l(g) = g. Let a(d) = 8*d + 2. Determine j*l(c) + a(c).\nAnswer: 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6724?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1866449 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -228 - -29?\nAnswer: -199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**3 - 1458*z**2 - 78718*z - 591822 = 0.\nAnswer: -671, -49, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 1.7242\nAnswer: -0.51726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-18)*-315 - 3\/(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -50074 - -36?\nAnswer: -5003a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/51 - 180\/(-1530)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -983113781\/1044 + 941680. Calculate the common denominator of u and 121\/60.\nAnswer: 5220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36594804 or -36594808?\nAnswer: -36594808","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 7:54 AM?\nAnswer: 1:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11*(-20)\/(-1540) + 80\/70?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - 16*p**2 + 30*p - 58. Calculate x(13).\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6 * 3.1.\nAnswer: -1.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p**3\/2 - 6951*p**2 - 41649*p\/2 + 69465 = 0. Calculate p.\nAnswer: -4631, -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -89*f**2 - 23*f + 23. Let y(q) = -30*q**2 - 8*q + 8. Give 6*x(b) - 17*y(b).\nAnswer: -24*b**2 - 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 437 a factor of 119738?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 824.\nAnswer: 2472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/23671900 and 11\/735.\nAnswer: 71015700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (15 - 22) + 8 - (-8 + -1 + 2)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -669c + f41?\nAnswer: -575b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**2 + 10*l - 24. Let z be y(-13). Let h = z + -117. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 532 = -2*c, 68 = -5*c - 2*j + 1391. Find the second derivative of -265 + 4*r - 6*r**2 + 2*r + c wrt r.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 1:14 PM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2437*c + 1485*c - 13328 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -5889.792577 to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d - 15. Let z be g(9). Solve 0 = -2*w + z*w - 5*b + 25, -5*b + 25 = w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 430079069 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 AM and 9:10 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express ((j - 3*j + 0*j)*(-2 - 3 + 3) + (4 - 1 + 0)*(8842*j + 8834*j - 18394*j))*(-j**2 + 2*j - 2*j) as y*j**2 + a*j**3 + m + i*j and give a.\nAnswer: 2150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 11*o**2 + 2*o - 142. Give r(12).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2414 - 2415. Sort -1\/5, 1\/5, a, -8\/7 in decreasing order.\nAnswer: 1\/5, -1\/5, a, -8\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*a**5 - 186*a**4 - 1001*a**3 + 834*a**2 - 143*a = 0. Calculate a.\nAnswer: -13, -11, 0, 1\/4, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - ((3 - 1925\/99) + 6).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -796*k + 46*k**3 - 179*k**3 - 625*k**3 + 798*k.\nAnswer: -758*k**3 + 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 108.1 times 566932?\nAnswer: 61285349.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 3*j**2 + 3*j - 5. Does 7 divide k(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3129 and 415295.\nAnswer: 1299458055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 20116.3208 to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.034 + -0.066. Are 88 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.09, 14\/23, -0.2, -2, -0.5, -4, -0.01?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (27\/(-405))\/(1\/3)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -3. Suppose j + p = 2*j. Solve j + 0 = -h - k, -5*k = -10 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(243))**2 + sqrt(243))*-1*-3 - (-6*(2 + sqrt(243)))**2*-6.\nAnswer: 7803*sqrt(3) + 54081","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -36, -6\/5, -4, -0.0791, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) 0.1 (b) 0.414 (c) -0.4 (d) 89 (e) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 372*h**4 - h**2*r**3 + 446*h*r**3 wrt h?\nAnswer: 4464*h**2 - 2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 17 + 52 = 5*s, -50 = -4*s + o. What is the remainder when 467 is divided by s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -q**4\/12 - q**3\/3 - 2*q**2 - 7*q. Give n(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, g: 2, j: 1, v: 6, q: 5}. What is prob of sequence vv?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 2935 to the nearest 100.\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 14 = d, 8113*d - 8118*d = 4*j + 26 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 26, 151, 280, 413, 550?\n\"Answer: 2*a**2 + 119*a - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*l**2 + 2*l**2 + l**2 + (0 + 0 - l**2)*(1 - 6 + 4) + 12*l**2 + 14*l**2 - 8*l**2.\nAnswer: 33*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1671?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, b: 1, o: 7, u: 3}. Give prob of picking 1 o and 1 k.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of v**6\/12 - v**5\/10 - 3*v**4\/8 + v**3\/6 + v**2\/2 - 8. Determine l, given that u(l) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33640*h**5 + h**3 - 72096*h wrt h.\nAnswer: 672800*h**3 + 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*o = -26*o - 14 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 4*r = -0*n - 166, 0 = 3*n + 5*r + 110. Let x be (n\/(-8) - 4)*-4. Solve x + 11 = -3*g + 3*m, -5*g = 3*m + 12 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.058 - -1.298. Let v = z - -0.76. Put -1, 3, 0, v in decreasing order.\nAnswer: 3, v, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 6*h - 15. Suppose -z - 1 = i - h*i, -4*z - 1 = -5*i. Solve -i - 11 = 4*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 8 - 7 = 0. Suppose 2*a + 12 = q - 2, -l*a = -2*q + 23. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*o**3*u**3 + 10*o**3 - o**2*u - 143*u**3 wrt o.\nAnswer: -30*u**3 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5083423 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 8*i**3 - 11*i**2 + 8*i + 14. Let g(o) = 3*o + 5 + 3*o**3 - 2 - 4*o**2 + 2 + 0*o**3. What is 11*g(j) - 4*m(j)?\nAnswer: j**3 + j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 115*o - 2. Let p(n) = n + 2. What is -2*p(q) - v(q)?\nAnswer: -117*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -355 = -105*v - 1523 - 512 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -5, -2, 2 in increasing order.\nAnswer: -5, -2, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 - 39*t - 88. Calculate the lowest common multiple of f(-35) and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -479500 divided by -1750\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 5*y - 275. Suppose -y = -2*g - 4*n, 30*n = 28*n + 6. Let r = 38 + -21. Is g >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 9. Let o = -1.1 - -0.5. Let i = o - -0.4. Which is the nearest to d? (a) -0.1 (b) 0.3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-39)\/9)\/((-53)\/(-477)*(18 + -19))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 57, -2, -18, 676, -1 in increasing order.\nAnswer: -18, -2, -1, 57, 676","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/(((-10)\/(-6))\/((-105)\/(-126))). Suppose 0 = 5*b + 6 + 14, 2*b = -c*g + 436. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/7? (a) 76 (b) -0.4 (c) -2 (d) -1 (e) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -181, -3, 10, -0.027, -2 in descending order.\nAnswer: 10, 0.3, -0.027, -2, -3, -181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.18 + 0.08. Which is the closest to -1\/2? (a) m (b) 1 (c) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4029.3 + -4029. Let n = 0.07 + -0.1. Let l = n + -0.27. Which is the second biggest value? (a) k (b) l (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6033 + 6035 - 12070 - 36*s.\nAnswer: -36*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -8*k + 7. Let x(v) = -14*v + 7. Let d(c) = -13*c + 7. Let g(l) = 5*d(l) - 4*x(l). Let s(n) = 3*g(n) - 4*j(n). What is the units digit of s(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 2\/5, 8.49, 0.137, 0.32, 0.2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 13, 33, 49, 43, -3, -107, -287?\n\"Answer: -3*s**3 + 16*s**2 - 7*s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/816 or 49?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -66 - -67. Suppose 9 = 3*o + 3. Calculate the least common multiple of u and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-5) - (-224)\/(-10). Let w = r - -36. Does 10 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.77602 and -4667.\nAnswer: -4668.77602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b**4\/3 - 10*b**3\/3 + 9625*b**2\/3 + 44250*b - 300000 = 0.\nAnswer: -30, -25, 5, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/12 + (-458)\/(-12). Suppose -3*x + 4*f + n = 2*x, 3*f = -5*x + 24. Solve x = -4*v + v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -0.2 (c) -8 (d) -0.3 (e) -9714\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k + 6. Let s be a(-3). Let j = 10 + s. What is the remainder when j is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148812596 to the power of 1\/2, to the nearest integer?\nAnswer: 12199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**3 - 166*n**2 + 623*n + 762. Give w(79).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*l - v + 1 = 10*l, -2*l = -v + 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -6*j + 3*j. Let d(f) = 3*f**2 - 2*f**2 + 4 - 9*f - 2*f**j. Calculate the remainder when 11 is divided by d(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -52151 - -11415?\nAnswer: -40332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1938 + 1.1938. Let w = -1569\/16 + 98. Which is smaller: y or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 34502 = 2*u - 4*u, -43129 = 5*f + 4*u. Let b be 36\/486 - 157115\/27. Let o be b\/f + ((-2)\/(-6) - 1). Is o greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/10*(-252)\/54\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + n + 671. Let j be x(0). Let m = 10747\/16 - j. Calculate the common denominator of -83\/10 and m.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -436*z - 4156 = -47*c - 441*z, z = 17*c - 1492 for c.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -59 + 59. Let x(o) = -o**3 - 2*o + 2. What are the prime factors of x(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of -2*c**4 + 2*c**3\/3 + 108*c + 14. What is the first derivative of a(u) wrt u?\nAnswer: -24*u**2 + 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/112)\/(((-12)\/(-8))\/3)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 12 = -3*n - 2*p, -4*n + 16 = 2*p. Suppose 4*o + o + 122 = 4*x, 0 = -3*o - 2*x - 60. What is the remainder when -1*o\/2 + 2 is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 54 - 1. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3150\/(-637) - (-10784)\/8762?\nAnswer: -26\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37200?\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -155, -167, -201, -269, -383, -555?\n\"Answer: -2*y**3 + y**2 - y - 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/5 + 46\/10. Let q = y - 3. Suppose 0 = -q*a - 3*m + 5 + 22, a + 19 = 5*m. Solve -26 + a = -4*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j**3 + 4*j**2 - 377*j - 1200. Calculate t(-3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/((-15)\/(-27) + (-6)\/27). Let r be (102 - 90)*(-2)\/s*-1. Solve 4*q - 2*q = -r for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3\/13 - 3210*q**2\/13 - 1286406*q\/13 + 1289618\/13.\nAnswer: -2*(q - 1)*(q + 803)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 991 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: Is 60387 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 680114154*a. Let z(i) = 2*i. Calculate z(n(p)).\nAnswer: 1360228308*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2809154 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 2486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of 1\/2*u**3 + 9\/2*u**2 - 13*u + 0. What is g(-6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = 7*p - 2*p + 56 - 19, -70*p - 563 = -3*v for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15758, 31461, 47162, 62861, 78558, 94253?\nAnswer: 109946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -4*n**5 - 1888*n**4 - 141076*n**3 - 3758712*n**2 - 32321520*n + 36223200 = 0.\nAnswer: -387, -30, -26, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -250*m + 253*m + 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = n - 18, 2*n - m + 2*m = 24. Let l(y) = -20*y - 10*y - n*y - 2*y. Let k(i) = i**2. Calculate l(k(d)).\nAnswer: -42*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(2\/11)\/v*v*v*v**(-12\/5)\/v*v**(13\/2)\/v**(9\/4) assuming v is positive.\nAnswer: v**(447\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - 235602?\nAnswer: -235588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3)\/(-24)*254\/12 and 69\/1300.\nAnswer: 15600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -4\/65?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.33 - -19.17. Let p = s + -13. Let y = -7 + p. What is the nearest to 1 in y, 2\/15, -1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41391 < 41404?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -48081823, -96163660, -144245497?\n\"Answer: -48081837*u + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + -13. Let d be 56\/42*h\/(-2). Are d and -3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -240 (base 8) in base 11?\nAnswer: -136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 36958657 to the power of 1\/3, to the nearest integer?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t + 16. Let s be h(-9). Suppose 0 = -2*j - 4*v - 9 - s, v = j - 7. Solve j*k - k + 4 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 7, -1\/6, -4\/13 in ascending order.\nAnswer: -2, -4\/13, -1\/6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 257 + -162. Let b = 96 - l. Let q(n) = 68*n + 4. Calculate the remainder when q(b) is divided by 38.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 130044 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**2 + 2*r**2 + r**2 + r**2 + 0*r**2 - 2*r**2 + (-4*r + 0 + 0)*(2*r - 2*r - 2*r) - 5*r**2 - 4*r**2 + r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - 107*u**2 + 34*u - 817. Calculate the least common multiple of y(107) and 70.\nAnswer: 28210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 10, l: 2, o: 4}. Give prob of sequence oll.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -641*u + 1249*u + 3659*u to d + r*u and give r.\nAnswer: 4267","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3795278039 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 133 - 62. Suppose -3*u + 82 + h = 0. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 471\/55 (b) 0.75 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -56 - -30. Let j = z - -53\/2. Which is the closest to 1\/2? (a) -4 (b) j (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 332.\nAnswer: -5\/332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 - 18. Let l be (4\/7)\/((-3)\/(-21)). Suppose 0 = l*a + 4*c - 12, a = 4*c - 0 - 2. Solve -k = -g*k - a for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-13)\/h**10)\/(h**(-13\/2)\/h*h**10) assuming h is positive.\nAnswer: h**(-51\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 12729 = -2329. What is r rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 8:33 PM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2*f - 9 - 2 = 0, -4*f = 3*k - 13. Let g be 1*(2\/15 + 8\/30). Which is bigger: g or k?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 2*k**2 + 3*k + 1. Let w(a) = -881*a**3 + 1779*a**2 + 12*a + 4. Let o(n) = 4*b(n) - w(n). Find the third derivative of o(f) wrt f.\nAnswer: 5310","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 2*j + 20. Factor 0*c**4 + 1\/4*c - 1\/2*c**3 + 0 + 0*c**2 + 1\/4*c**j.\nAnswer: c*(c - 1)**2*(c + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 542 - -2110020?\nAnswer: 2111002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) 4 (c) -1 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.76409 and -1?\nAnswer: 0.76409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 249 + 7*x - 48 - 61 - 18. Let s be v(3). Calculate the highest common divisor of s and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 14.5158\nAnswer: 14.5158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2 + 2*g**2 - 4*g - g**2 + 2*g. Is x(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106208477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 55867697 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 3 = 7. Suppose -6 = -4*k - j*r, -4*r = r + 5. Suppose 0 = 2*f - 0*t - k*t - 68, 0 = -2*f + 5*t + 71. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from zmmbmtg.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 521?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 727 - 267. Suppose -k*y = -456*y - 592. Does 37 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of -j**4\/4 + 2*j**3\/3 - j**2 + 1. Let z = 19 - 14. Let i(f) = 3*f**3 - 5*f**2 + 5*f. What is z*p(n) + 2*i(n)?\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32 - (17 + -57)) + 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/3 - 6055*f\/3 - 2093618.\nAnswer: -(f + 1329)*(f + 4726)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1872 + 1874. Solve -d*r = 3*c + 17, r = -3*c - c - 21 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -63, 2, -13, -34 in ascending order.\nAnswer: -63, -34, -13, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77085 is divided by 1306?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u - 10. Let j(a) = a - 8. Let s(n) = -4*f(n) + 5*j(n). Let r(h) = -49*h - 1. Calculate r(s(g)).\nAnswer: -49*g - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide (-2 - -3)\/(5\/505)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*l - 186*l = -3*h - 3, -5 = -2*l + 5*h for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 33411478*g**6 + 7*g**2 - 140946*g wrt g.\nAnswer: 4009377360*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4*s + 14 = 2*z, 0 = 2*z + s - 6. Suppose 28*g - 11*g - 34 = 0. Find the third derivative of z*q**3 - 18*q**g + 24*q**2 - 14*q**2 wrt q.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -3*h. Let r = 74 - 65. Let a(d) = -7*d + r*d - 6*d. Calculate a(u(q)).\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-26 + 12 + 12 + t)*(46*t - 213*t + 54*t) in the form a*t + w + d*t**2 and give a.\nAnswer: 226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18\/378*21*(0 - -2627)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 8 = 38. What is the highest common factor of 4 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6554*a = 6732*a - 23140 for a.\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 21 = 5*r + 2, 0 = r + 4*i. Suppose 4*z + 2*n = 18, 3*n + 5 + 28 = r*z. Solve -f - f + z = -2*d, 0 = 4*d + 16 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 928187?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1789272?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 5*w - 27, m - 1 = 4*w - 19. Suppose 70 = w*a + 2*d, -a + 17 = -0*d + d. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4058 rounded to 2 decimal places?\nAnswer: -0.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3165, -10920, -23851, -41958?\n\"Answer: -2588*c**2 + 9*c - 586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 - 2*h. Let z(d) = -d**3 - 3*d**2 + 5*d + 4. Let y be z(-4). Suppose l = -c - 2, c + c + 4*l = y. What is the units digit of b(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 5 + 3. Let y be 9\/(-69)*n\/3. Let s = 4.7 + 0.3. Which is the smallest value? (a) 1 (b) s (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*u + 1. Suppose -u - 2 = -3*p. Let v(m) = -3 + 16*m**2 - 11*m**2 + 5 - 3. Determine v(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58263324 divided by 15932.\nAnswer: 3657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 44*d**3*j*v - 2*d**3*j + 14*d**3 + 3*d**2*v + 5*d wrt j.\nAnswer: 44*d**3*v - 2*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 292 and 658533.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 - 3 + 0 - 3 + 2 + (2 + 3 - 4)*(4 - 2 - 4))*(-35*k + 35*k + 6*k**2) in the form j + b*k + m*k**2 and give m.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -769 and -1.\nAnswer: 769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 300*c - 3 - 1 = 305*c, 0 = 6*s + 2*c - 56 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -109*w**4 + 10*w**2 + 289*w - 4. Let d(l) = 326*l**4 - 34*l**2 - 866*l + 13. Let y(k) = 2*d(k) + 7*h(k). What is the second derivative of y(f) wrt f?\nAnswer: -1332*f**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5106 = 164*d - 118*d. Which is smaller: d or 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 18652.\nAnswer: -1865.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7.9 in -15, -12\/7, -7?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -353*v - 3. Suppose i - 82 = 3*i. Let f = 37 + i. Is q(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/15? (a) 0.2 (b) 11 (c) 0.33 (d) 0.5 (e) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + 11*r**2 - 75*r - 731. Determine d(-13).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xpkpuzzxxukkuuxuu. What is prob of sequence xp?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 60 = 7*m. Let y be ((-48)\/m)\/(3\/15). Suppose 0 = 2*f + 4, 12 = 5*q - 0*q + 4*f. Solve q*w = -0*c + 2*c + 16, -4*c = -3*w + y for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 12 = 4*s, 5*s = -b - 3*b + 9 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*b + 12 = -41*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 16 = -0*t. Let q be t\/(-20) + 44\/10. Suppose -q*r - 5*l = -229, 3*l - 6*l + 168 = 3*r. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((sqrt(152)*4)\/sqrt(8) + -1)*-6 - -3*-6*(-1 + sqrt(1216))).\nAnswer: -168*sqrt(19) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 6 = -7*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 601352828?\nAnswer: 2, 251, 307, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 g, 1 h, and 1 k when four letters picked without replacement from {b: 9, g: 1, h: 5, k: 5}?\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 39983.04m in micrometers?\nAnswer: 39983040000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1780\/40*2*1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -774 + 783. Suppose 9 = 2*n + 3. Suppose l + n*g + 40 = 3*l, 2*g = 5*l - 122. Calculate the remainder when l is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 417156 is divided by 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/4, -2979, -8.3, -1.6, -3?\nAnswer: -8.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (45\/20)\/(3\/2). Let d = 39.04 + -39. Let y = 1.04 - d. What is the third biggest value in z, y, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/3 + (-2)\/(-6). Let i be (-2 - -2) + (a - -1). Let s = -14\/15 + 128\/105. What is the closest to 1 in s, i, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/7? (a) -14 (b) -3 (c) -0.02 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*j + 107 = -28. Suppose 0 = 5*d - 114 + j. Calculate the least common multiple of d and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43835400 = 19*o + 66*o - 14*o. Round o to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3927558 to the power of 1\/2, to the nearest integer?\nAnswer: 1982","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 54505 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 4 = -4. Suppose v*i + 16 = 4*i, -2*w + 10 = -5*i. What is the highest common factor of 135 and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 427.\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5}. What is prob of sequence ff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -7*b**2. Let n = 223 - 218. Let l(m) = 4*m**2 + 11 - 16 + n. Calculate w(l(q)).\nAnswer: -112*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186*g + 388*g - 4646 = 0 for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -60760 - -142669383\nAnswer: 142608623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.6? (a) -3 (b) 1 (c) 2 (d) 1714 (e) 1\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 0.3, 0, -6, -3\/6917, -2\/9?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 + 16*c - 42. Let h(y) = 2*y**3 + 16*y**2 + 35*y - 3. Let r be h(-3). What is q(r)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/451124 and -31\/171116.\nAnswer: 4962364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(729))\/(sqrt(297)\/sqrt(11)).\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*k**3 - 21*k**3 - 10*k + 10*k - 21*k**3.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 87636, 175247, 262854, 350457, 438056, 525651?\nAnswer: 613242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 296?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/x**(-11)*x*(x**(-10)*x)\/x)**(-23)*(x**(-1\/12)*x**9\/x)**(-44) assuming x is positive.\nAnswer: x**(-1321\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j**3 + 8*j**2 + 3*j - 3. Let z(c) = -3*c**3 - 7*c**2 - 2*c + 2. Calculate -2*l(n) - 3*z(n).\nAnswer: 3*n**3 + 5*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001956 to 7 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -6*x - 2. What are the prime factors of o(-5)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000010123 to 6 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 3*f - 5*g, f = -f + 3*g - 7. Let w(n) = -n**2 - 3*n - 4. Let u be w(-3). Sort f, u, 0 in descending order.\nAnswer: f, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-1*(-1 + sqrt(605))*-3*-5.\nAnswer: -660*sqrt(5) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = 35*h + 32. Solve 2*w = h*u - 3*w - 16, -4*w - 17 = -3*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 7, f: 6}. What is prob of sequence mmfm?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 8, o: 5}. Give prob of picking 4 o.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206 is divided by 60.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38 + 15. Let p = 43 + q. Suppose f + f - p = 0. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -50, -65, -74, -77, -74, -65?\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 185, 2012, 6973, 16634, 32561?\n\"Answer: 261*m**3 + m**2 - 3*m - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r. Let q(i) = i**2 - 1128. What is y(q(w))?\nAnswer: -w**2 + 1128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -24937.29373 rounded to the nearest ten?\nAnswer: -24940","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2088558 * 4\nAnswer: 8354232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*h + 12. Suppose -2*m + 3*m + h = 0. Let l(y) = -2*y - 7. Let j(w) = 2*w + 6. Let v(t) = -5*j(t) - 4*l(t). Give v(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.4, 0, 69, 81 in increasing order.\nAnswer: 0, 0.4, 2, 69, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/(14700\/(-24)))\/(8\/(-28))\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5775 - 2121. What is the hundreds digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 99 and 135?\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*i**4 + 8*i**4 - 6*i**4 + (-2*i**2 + 2*i**2 - 2*i**3)*(2*i + 2 - 2) + 2 + 2*i**4 - 2 + (38*i - 82*i - 27*i)*(-2*i**3 + 0*i**3 + 4*i**3).\nAnswer: -136*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 871 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2187) - (sqrt(2187) - (sqrt(2187) - (sqrt(2187) + -1))*1)**2 - ((sqrt(2187) - (sqrt(2187) - (1 + sqrt(2187)))*-3)**2 - sqrt(2187))) + 0.\nAnswer: -4384 + 270*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16971 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i - i - 3*i**2 - 121*i**3 - 2*i - i.\nAnswer: -121*i**3 - 3*i**2 - 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 53978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 1\/2 (b) 0.2 (c) -1 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -8\/3, 1\/4, 4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 11:40 AM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47078*w = 4*p + 47082*w - 28, -4*p - 2*w + 18 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (15\/5)\/((-9)\/(-102)*-2). Let f(z) = 152*z**3 + 26*z**2 + 44*z + 10. Let u be f(r). What is u rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3609?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7069 is divided by 2333?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d + 1. Let z(r) = 483*r + 39. Let j(b) = -4*u(b) - z(b). Is j(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 5 + sqrt(300))*-2.\nAnswer: -20*sqrt(3) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -15. Let y(h) = -10*h**6 - 2*h**2 + 6*h. Let n(f) = -f**6 + f. Let i(x) = m*n(x) + y(x). Find the third derivative of i(q) wrt q.\nAnswer: -480*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0019105232 rounded to four decimal places?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -3*w. Let a(v) be the second derivative of 4*v + 0 + 0*v**2 - 1\/6*v**3. Determine h(a(m)).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1537751111?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from eeeseeessee.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 10:38 AM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a century in decades?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2603946, -2603907, -2603866, -2603823, -2603778, -2603731, -2603682?\nAnswer: -2603631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + 2*x - 1. Let u be t(3). Let h = -16 + 10. Let l = u - h. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of 22*d**8\/21 - 331*d**4\/24 - 634*d**2. What is the second derivative of t(l) wrt l?\nAnswer: 7040*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29116331.\nAnswer: 29116331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 26*w - 221. Let o(v) = 5*v + 1. Determine -g(d) + 5*o(d).\nAnswer: -d + 226","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in 0.074, 2\/5, -8?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-27)\/6*(-10)\/(-15). Let l(d) = 13. Let w(x) = -x + 12. Let g(v) = f*w(v) + 2*l(v). Is g(6) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1007693, 2015377, 3023073, 4030787, 5038525, 6046293?\n\"Answer: f**3 + 1007677*f + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 70 and 49.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, 0.2, 5 in descending order.\nAnswer: 45, 5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1536 and 648?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 11:35 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 77*m - 4917. Determine w(64).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 4 = 2*n. Let l be 0\/(-1)*(-3)\/6. Calculate the remainder when (-2 + l)\/(-1) + -1 is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -b**6\/120 - b**5\/10 - 5*b**4\/24 + 7*b**3\/6 + 14*b**2 + 46. Let s(r) be the second derivative of q(r). What is s(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r\/((r\/(r\/(r**(-1)*r)*r))\/r))*r*(r\/((r**(-6)\/r)\/r*r))\/r*r**(2\/31)*r**(-15)*r assuming r is positive.\nAnswer: r**(-246\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*o**2 + 91*o**2 - 3*o**2.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -100186, -100187, -100188?\nAnswer: -100189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-10))\/(10296\/1320)*(-12)\/(-10).\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/sqrt(3) - sqrt(288)*-2) + -1.\nAnswer: -1 + 26*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 10) in base 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + 1990*v - 375369. Give q(211).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*f = -59*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from 614.3330609.\nAnswer: 613.3330609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 5*m - 34 - 9, 0 = -p + 2*m + 14. Is p even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -295*x + 33887 = -1016*x for x.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d*(d**(2\/9)*d)\/d)\/d))\/d**(1\/2)*(d*d**(-3)\/d)**47)**(-19) assuming d is positive.\nAnswer: d**(48127\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 506 - (-5)\/25*0. Let k = -355 + d. What are the prime factors of k?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 131 divide 48365331?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of f**4\/12 + 2*f**3\/3 - f**2\/2 + 7*f. Let r be o(-5). Let z = 1 + 1. Put z, r, -1 in ascending order.\nAnswer: -1, z, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/3)\/(-145*(-66)\/3244230).\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - -43551144?\nAnswer: 43551140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1923 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: Simplify ((k*k\/k**3)\/k*k**3*k**2\/k**(3\/5))**31 assuming k is positive.\nAnswer: k**(372\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -23634, -47795, -71956, -96117, -120278, -144439?\n\"Answer: -24161*k + 527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 6. Suppose -j + 3 = -c. Suppose -4*i + k + 0*k = -586, 0 = j*k + 6. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1\/4, 0.1, -3, -54, 876\/19, -1\/2?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -143*k**2 - 59*k - 8. Let q(t) = t**2 + t + 2. Let x(s) = d(s) + 4*q(s). Find the second derivative of x(y) wrt y.\nAnswer: -278","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 + -15. Let n(m) = m**2 - m + 1. Let g(u) = -91*u**3 - 2*u**2 + 4*u**2 - u + 0 + 92*u**3 + 1. Give y*n(t) + g(t).\nAnswer: t**3 + t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20049732 and 724.\nAnswer: 20049732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24 is divided by 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 150610395 or 150610402?\nAnswer: 150610402","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 9, r: 4, g: 1, s: 1, b: 5}. Give prob of picking 1 n and 1 g.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q**2 + q. Let c be i(-1). Find the second derivative of -3*g**c - 2*g**2 + 3*g**2 + 2*g wrt g.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -376*g + 400*g - 72720 = 0. List the prime factors of g.\nAnswer: 2, 3, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, b: 3, x: 3, e: 4, h: 1, m: 2}. What is prob of sequence bx?\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(0 + -2)*-1. Let i = -11 + 11.5. Which is the second smallest value? (a) -0.5 (b) i (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of -2 - 1\/2*n**2 + n. Calculate s(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-3\/11)\/x*x)\/(x\/(x\/x**13))*(x*x\/((x*x*x**3)\/x))\/x**(2\/5))**(-1\/41) assuming x is positive.\nAnswer: x**(862\/2255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 7:14 AM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1376 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: Divide -40240392 by -498.\nAnswer: 80804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 5*f + 1305, 7*o + 4*f + 276 = 8*o. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/3)\/g*g)\/(g\/(g*g*g*g\/(g**(-1)\/g)*g)))**35\/(((g\/g**(-1\/7))\/g*g)\/(g*g**(1\/14))*((g*g**(-2\/7)*g)\/g)\/g**(-3)) assuming g is positive.\nAnswer: g**(7681\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2460162, 4920222, 7380282?\nAnswer: 9840342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -4315*g - 2*g**2 - 5*g**2 + 4315*g - g**2. Let k(d) = -6*d - 3. Let x(v) = -11*v - 5. Let j(m) = 5*k(m) - 3*x(m). Determine j(q(f)).\nAnswer: -24*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s**2 + s**2 + 40*s - 40*s.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 705584, 1411186, 2116782, 2822372, 3527956, 4233534?\nAnswer: 4939106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4344875?\nAnswer: 5, 34759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(128) + -3)*1 + -3)**2.\nAnswer: -96*sqrt(2) + 165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1210 (base 10) to base 3.\nAnswer: 1122211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -16 + 8?\nAnswer: -b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a millennium in months?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -0*f - 4*f + 6, -4*v = 3*f - 5. Suppose v*j - 19607533 = 15392467. Round j to the nearest 1000000.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 15*s - 1. Let u(h) = -5*h**2 + 59*h + 8. Let m(r) = -4*c(r) - u(r). Let t = -3 + 8. Let x(g) = g**2 + g - 3. Calculate t*m(q) - 6*x(q).\nAnswer: -q**2 - q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 10\/809 (b) 0 (c) -5\/182 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5*f + 24892 + 16372 = 0, 41345 = w + 4*f. Calculate the highest common divisor of w and 818.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -99.5 rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -4. Suppose -v*l + 27 = 5. What is the greatest common factor of 22 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 - 20. Let q be f\/2*(-16)\/(-40). Let w be -1 - -4*q\/2. Which is greater: 3 or w?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*n + 7*n - 13*n + (0 - 1 - 1)*(2*n + 3*n - 4*n).\nAnswer: -17*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wew when three letters picked without replacement from {e: 3, p: 1, w: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**2 - q**2 - q**2)*((-2 - 3 + 6)*(0*q**3 + 3*q**3 - 2*q**3) - 1244*q**3 + 559*q**3 + 434*q**3) + 6*q**5 + 3*q**5 - 3*q**5.\nAnswer: 1256*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 11) to base 3\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*o - 34*o - 568. Let i = -145 - o. Sort i, -2, 3\/2 in decreasing order.\nAnswer: 3\/2, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 35*j**2. Let h(x) = -22*x**2 - 2*x. What is h(a(b))?\nAnswer: -26950*b**4 - 70*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 13011120302 (base 4) in base 14?\nAnswer: 364ac2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2*o + 4 = -o, 16 = 5*p + 4*o. Suppose t - 5 = -z, -4*z + 5*t = -0*t - 11. Suppose -6*m + z*m + 20 = p. Solve -5*v - m - 5 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 3*n + g, -4*n - 2*g + 52 = -5*g. Let t = 26 - n. Suppose -h - 6 = -2*h. What is the lowest common multiple of t and h?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -h**4\/2 + 14*h**3\/3 + 5*h**2 - 3*h - 3. Let u be a(7). Let f = 40 + 28. Do u and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 350074 is divided by 174919?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 30 = -3*q, -2*k = 2*q + 3*k - 20. Let d = q - 7. What is the remainder when 30 is divided by (-34)\/(-3) + (-1)\/d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/4, 0.11, 5, 16, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.03 + 0.47. Let o = 0 - h. Sort 0.5, o, -1\/4.\nAnswer: o, -1\/4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -677139819*c**2*f**2 + 2*c**2*f + 170319*c**2 + 2*c + 1200 wrt f.\nAnswer: -1354279638*c**2*f + 2*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*s + 4*z, -3*s + 7 = -z - 0*z. Suppose -s*y - 15 = 2*y. Is (y - -1) + 4*7 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of 22*d**4\/3 + 19*d**2\/2 - 203*d. What is the derivative of t(v) wrt v?\nAnswer: 176*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 35\/(1 - (2 + -2)). Let v be (-1)\/(-3) + s\/21. Solve 0 = -v*j + j - 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 69840 divided by 9\nAnswer: 7760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.091 in 0.4, -2\/21, 11, -2, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2*159\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 3*r - 12 = -307, 293 = 4*u + r. Let v = u - 68. Sort 0, v, 2, -1 in increasing order.\nAnswer: -1, 0, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21.38 - -6.38. Is 2.96 at least as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001057723 to six dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vtnttvnevvnvnntpnv. Give prob of picking 1 p, 1 v, and 2 t.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 23 = -17. Let o(q) = 2*q + 2. Let v be o(3). Suppose -g*s = -v*s. Solve -3*j + 8 + 4 = s for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45569 is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 8*f**2 - 10*f - 4. Let d(w) = 16*w**2 - 19*w - 7. Let v(b) = -4*d(b) + 7*x(b). Let u(c) = 15*c**2 - 11*c. Give 6*u(j) + 11*v(j).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 + 14. Suppose 16 = 4*z, 2*o + 0*z + 2*z = 8. Solve o*j + s = 2*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1*(5 + 0))\/(-1 - -2). Suppose 104 + 36 = c*j. Calculate the remainder when j is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 6*p - 2*y = -24, 0 = -2*p - 5*y + 20. Suppose t = 5*t - 4*c - 1728, 850 = 2*t + p*c. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12595 and 2290.\nAnswer: 25190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5669.2345 + -4\nAnswer: 5665.2345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -20498, -81851, -183814, -326147, -508610, -730963, -992966?\n\"Answer: 40*d**3 - 20545*d**2 + 2*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -110101220110?\nAnswer: -110101220022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3395539.\nAnswer: 7, 509, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 7 + 2 = 0. Suppose 3*v - f = 0, 2*i - 5*v + 0 = -15. Solve -j + 0 - 1 = i for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 4:58 PM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**4 + 6*q**3 - 39*q**2 + 30*q.\nAnswer: 3*q*(q - 2)*(q - 1)*(q + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 5. Let v(m) = m**3 + 7*m**2 + m + 6. Let c(f) = f + 2. Let l be c(-9). Let t be v(l). Put h, t, 3 in decreasing order.\nAnswer: h, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s + 8. Let w(d) = d + 3. Let j be w(-8). Let b be k(j). Let l(o) = o - 8. Let f be l(b). Solve 3*i = f*i - 6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -508*d - 1000. Let j be u(-2). Solve -j = -174*l + 190*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1944)\/(-1134) + (2 - ((-865)\/14 - (-3)\/(-6)))?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 248*q**2 + 3 - 251*q**2 - 7. Let o(y) = y**2. Calculate c(o(z)).\nAnswer: -3*z**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 + -296243.4.\nAnswer: -296252.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*k**2 + 0*k**2 + k**2)*(6 - 6 + k)*(166 + 38*k - 166) in the form w + q*k + m*k**4 + p*k**2 + t*k**3 and give m.\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4518*k**2 - 7669*k wrt k?\nAnswer: 9036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*h - 2*h - 3*h)*(-19 - 20 - 24) + (-2*h + 3*h - 3*h)*(3 + 1 - 1) to f*h + o and give f.\nAnswer: 435","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 100 + 73 + -207 + 98.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-155)\/10 + (2 - 3) and (-2)\/(-7) - 64\/(-21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107 = 49*k + 53 + 299. Let g = -34 + 34. Sort g, 2, k in descending order.\nAnswer: 2, g, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*t - 26 - 26 = 68 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1280670530?\nAnswer: 2, 5, 7841, 16333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/70 and 11\/5.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 288298 (base 14) in base 13?\nAnswer: 3a293b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/(r**(-1\/13)\/r)*r)\/(r*r**24)*(r**(-12))**(-11\/3))**(-29\/4) assuming r is positive.\nAnswer: r**(-2175\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 771253 - 771239.99982. Let f = 382 - 369. Let v = n - f. Round v to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand n + 3*n - 2*n + (n + 0*n + 0*n)*(3 + 0 - 2) + 0*n + 2*n - 4*n + 2*n - 10*n + n + (25*n + 43*n - 27*n + 25*n)*(3 - 3 + 1).\nAnswer: 60*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3.027281 grams?\nAnswer: 3027281000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 14, y: 2, k: 1}. What is prob of picking 2 y?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3595, 5562, 5895, 4594?\nAnswer: 1659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -496, -1703, -3724, -6547, -10160?\nAnswer: -14551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 156*y + 2700 - 69 + 2052 + 6237 for y.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -228073 - 197951678.\nAnswer: -198179751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - (4 - (0 + 1)). Let u(s) = 26799*s - 2. Let f be u(l). Round f to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.21? (a) -236 (b) 8 (c) 33\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39 + -35. Suppose 290 = 6*h + w*h. Let x be 3\/((-180)\/(-58) + -3). Calculate the highest common divisor of x and h.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4161)\/11096*-3*12\/(-27))\/((-34)\/(-4))?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 95233 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0044 at most -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -8*s**2 - 8*s + 3. Suppose -30 = -n - 4*n. Let b(y) = y**2 + y. Calculate n*b(v) + a(v).\nAnswer: -2*v**2 - 2*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3*q + 53 = 0, -4*d + q + 2*q = -167. Let m = d - 29. Calculate the remainder when m is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a hour in seconds?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oaaxayoyyyoioyyiy. What is prob of sequence ix?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/1*578\/(-136)*-2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 9*z**2 + 1. Suppose y - 5*k = -12, 0*y - 3*k + 15 = 2*y. Let n(f) = -8*f**2 - 1. Let l(w) = y*n(w) + 2*t(w). Differentiate l(c) with respect to c.\nAnswer: -12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5.5657 and -0.04.\nAnswer: 5.5257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -k + 111, t - k = 3*k + 18. Let f = t - 9. What is the remainder when 49 is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**9*u)\/u)\/u*u**22*u)**(-5) assuming u is positive.\nAnswer: u**(-155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -46\/3 - -15. Which is the closest to z? (a) 4 (b) -5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6713257 - -6?\nAnswer: -6713251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2481 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 61 + -58. Let i(a) = -a**3 + 6*a**2 + a + 6. Let v be i(q). What is the highest common divisor of 54 and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -69675\/14 + 4970. What is the common denominator of y and -47\/18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 224 + -210.4. What is o rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36 or -2\/595?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*o**2 + 6*o - 14*o - 5*o**2 in the form t*o + m + g*o**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 0.21686.\nAnswer: 0.43372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 36974*t - 1368037. Calculate c(37).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7944452?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 12698.54ng in tonnes?\nAnswer: 0.00000000001269854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*j + 673 + 797. Find the common denominator of -12\/13 and (-8)\/(-2) + j\/(-36).\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 5*o + 33 = -2*x, o - 7 = 3*x. Let t be 2\/(-1*x\/2). What is the nearest to t in -1\/4, 0.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 3 - 0) + -4 + 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 60\/(-8)*(-20)\/3. Let z(j) = j**3 - 12*j**2 - 10*j + 1. Let r be z(13). Suppose -r = -7*p + 3*p. Calculate the greatest common divisor of p and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*a - 12 = -24*a. Let j be a\/6 - (-204)\/(-9). What is the hundreds digit of (-2 + -11)\/(2\/j*1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1220589?\nAnswer: 3, 5023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 419255670.\nAnswer: 2, 3, 5, 2833, 4933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y**2 - 3*y. Let m be k(-2). Let g be 64\/12 + m\/6. Suppose 3*v = g*n + 36, 0 = 4*v - 6*v - 3*n + 5. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zlpytutytltl. What is prob of picking 2 t, 1 l, and 1 p?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 5 - 1 = 0. Let h(o) = 2*o**2 - 2*o + 1. Let p be h(b). Let s be (6\/30)\/((-2)\/(-10)). What is the greatest common divisor of p and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 328.704951 * 0.1.\nAnswer: 32.8704951","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 15481 from 0.5.\nAnswer: -15480.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/(-15)*(-12)\/16. Which is the third biggest value? (a) f (b) 1 (c) -2\/5 (d) 3\/25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 5 - 65. Let m = b + -14. Solve 2*v = m, 0 = -u + 2*u + 3*v - 8 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*227.\nAnswer: -45.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 135*j - 19. Calculate i(-2).\nAnswer: -289","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a**3*z**3 + 16*a**2*z**2 + 337*a*z**3 - 3 wrt a?\nAnswer: 6*a*z**3 + 32*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -728 + 730. Solve 4*s = p + 16, 4*p - 3*s = i*s - 31 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jox when three letters picked without replacement from {x: 1, o: 2, t: 3, j: 1, d: 1, a: 3}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 32524*g**2 + 1. Let l(p) = 19*p. What is i(l(r))?\nAnswer: 11741164*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29 + 39. Suppose -d = -2*b + v, -4*b + 3*v + 28 - 4 = 0. Solve 18 = -4*k + 2*f, b*f = -3*k - 4 - 14 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1212017 divided by 6.\nAnswer: 1212017\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -80, -97, -98, -77, -28, 55?\n\"Answer: x**3 + 2*x**2 - 30*x - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = -4*f - 4, 31*u + 5*f + 13 = 28*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 19729 = -4*r, 20*r - 19*r = 5*d - 19726. What is the lowest common multiple of d and 15?\nAnswer: 3945","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 772, -54167, 3.\nAnswer: -54167, 3, 772","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 6) to base 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -24976 divided by 8\nAnswer: -3122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35 - -95. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5542 + -16b?\nAnswer: -56ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-488)\/(-3))\/((-42)\/9 - -5). Let d = g - 478. Calculate the remainder when 50 is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26186439\/1973 - 403035329003\/30287523. Let t = i - -16\/2193. Let d = t + 5023\/154. Calculate the common denominator of d and 51\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 84*b + 2\/3*b**2 - 254\/3.\nAnswer: 2*(b - 1)*(b + 127)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9889*k + 4453 = -9816*k. Suppose 164 = 3*q + 4*o, 5*q - 3*o + 4*o - 296 = 0. Is k < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f**(2\/29)*f)\/f)\/(f\/((f**3\/f)\/f)))\/(f**(-3\/5)*f**2))\/(f*f**(3\/7)*f*f\/f**(1\/7)*(f*(f\/f**(2\/7))\/f*f)**20) assuming f is positive.\nAnswer: f**(-39486\/1015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153)*-2 + sqrt(153) + sqrt(153))*-4)\/(sqrt(324)*5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - 0 - (242704\/(-1584) + 160).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of a**4\/12 - 7*a**3\/6 + 4*a**2 + 13*a. Calculate the remainder when w(10) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, 1, 0, -0.2, -4\/3, -5, 93888?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**2\/15 + 1106*r\/5 + 52576\/15 = 0. Calculate r.\nAnswer: -1643, -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, i: 7}. What is prob of sequence qii?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nppnnapa. Give prob of picking 2 n.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - i - 1608 = 0. What are the prime factors of i?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50160.87us to days.\nAnswer: 0.000000580565625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -1)\/(-59 - -61)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29 - (-6 + 10)) + 14?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 8 = -2. Let d = -5 - -7. What is the smallest common multiple of d and ((-4)\/(-1) + -8)*y\/(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-48*x + 8*x - 75*x)*(-5 + 15 + 1)*(-2*x - 2*x + 3*x) to the form r + k*x**2 + p*x and give k.\nAnswer: 1265","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 3*k. Let d(l) be the first derivative of 13*l**2 - 1360. Calculate d(w(x)).\nAnswer: 78*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 121206676627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 21*q**3 - 17*q**2 - 12*q + 1. Let j(m) = 5*m**3 - 4*m**2 - 3*m. Let i(b) = 9*j(b) - 2*t(b). Let r be i(3). Suppose g = -20 + r. Does 16 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 290477 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.89 in -5\/11, -0.9, 0.2, -49, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that u**2\/4 + 24876225*u\/2 + 49752449\/4 = 0.\nAnswer: -49752449, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of 5\/2*a**2 - 1\/6*a**3 + 0 - a. Let h be u(4). Which is greater: h or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 PM and 5:32 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 391475 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2206?\nAnswer: 2, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 363*f**3 + 4*f**2 + 4*f - 12. Is z(3) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.0936 + -0.0696. What is r rounded to one decimal place?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d**3 - 3*d. Let k(r) = -3*r**3 - 2172450*r**2 + 2172450*r**2 - 5*r. Give -3*k(j) + 5*s(j).\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 63710 = -4*t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 - -1. Let w = 20 + n. Find the common denominator of 15\/26 and (-1 + w)\/((-14)\/189).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -11. Suppose 2*p - 9 + 4 = -5*b, 4*b - 2*p = 22. Solve -3*y + m = t, 0 = -b*y + 4*y - 4*m + 11 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1293 - -1278 - (0 + (-6 - -1)) - 46?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x**2*x)*x\/(x\/((x*x\/(x\/x**(-9)*x))\/x)))\/((x*x*x**(6\/5)\/x)\/x**(5\/2)))**39)**(-1\/8) assuming x is positive.\nAnswer: x**(4563\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1935 and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -5*p**2 + 1738*p + 7021. Give s(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3849.595 milliseconds to nanoseconds.\nAnswer: 3849595000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*w + 3*w + 448 + 201 = 0 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**3 + 5*p**2 - p**2 - 2*p**2 + 6*p + 3*p**3 to o*p**2 + q*p**3 + x + g*p and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16\/(-40)*565*4 + 3. Is (-2 - -1) + (1 - (m - 10)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -7*q + 4*q. Suppose -5*d + 4*d = -q. What is the least common multiple of 1 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -484103*a**3*n**2 + 135*a**3*n - 16*a*n**2 + 9*a*n - 512*n**2 + 66 wrt a.\nAnswer: -2904618*a*n**2 + 810*a*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of 13*o**5\/60 - 3*o**2 + 175. Let g(p) = 4*p**2 + 3*p. Let w(u) = -u**2 - u. Let v(s) = -g(s) - 3*w(s). Calculate v(y(b)).\nAnswer: -169*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s**2 - 20*s - 59. Let c be t(13). What is the third derivative of 52*l**5 + 135*l**5 - 79*l**5 + l**4 + c*l**2 wrt l?\nAnswer: 6480*l**2 + 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -498948143, -498948144, -498948145?\nAnswer: -498948146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -26270, -0.2, -11, 8\/7, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t - 6*t**3 - 2*t - 2*t**3.\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 12:03 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ajftqpf. Give prob of sequence paq.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1396725 or 1396753?\nAnswer: 1396725","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 10 = 5*m - 3, 5*m - 25 = 0. Suppose -4*j = 2*h - 0*h, -4*h - 5 = x*j. Which is the closest to -1? (a) -0.4 (b) h (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - -7)\/(2139\/(-714) - -3). Suppose 32*x = -2*x + f. What is the highest common factor of x and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 19.51781 or -216?\nAnswer: 19.51781","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1101 = i - 4*t - 11692, -t = -i + 12796. List the prime factors of i.\nAnswer: 67, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -11*d - 4*d. Factor 2*z**3 - 3*z**3 - 11*z**2 - 9*z + 7*z**2 - d - 2*z**2.\nAnswer: -(z + 1)**2*(z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1321.487 + 1332. Round f to 0 dps.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 3, 0.3, -3.65, 13, 0.01?\nAnswer: -3.65","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -317, -535, -761, -995, -1237?\n\"Answer: -4*q**2 - 206*q - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 2)\/(70\/10 - 8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1752 + 8*t - 1148 - 1147 + 563.\nAnswer: 8*t + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11 + -89?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 68\/(-119)*21\/(-18). Find o, given that 2\/3*o + 2\/3*o**4 - p*o**2 + 4*o**5 + 0 - 14\/3*o**3 = 0.\nAnswer: -1, -1\/2, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.065 - 2.465. What is the smallest value in -2, c, 2\/25?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 84, 0.1, 2\/5, -0.06, 0?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 4*j - 4 = 0, 5*j - 10*j = 10*u + 80 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 332 in -4, -10, 5, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 6*b - 4*b. Sort -4, -2, b in increasing order.\nAnswer: -4, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -b + 4. Suppose b*r - 1299 = -r + u, 271 = r - 3*u. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 + -25. Let n be 10 - 10 - (a + 0). Suppose -2*v + 5 + 0 = 5*d, d - n*v - 23 = 0. Solve -d*s + 3 = 12 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 2\/3*c**3 - 4\/15*c**2 + 14\/15*c**4 + 0 = 0. What is c?\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 1 (b) 5 (c) -749 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2221, -2262, -2315, -2380, -2457?\nAnswer: -2546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(99) + sqrt(99)*-3)*-5 - sqrt(99))\/sqrt(9) - (4 + (sqrt(1100) - (sqrt(1100) + 0)) + 1).\nAnswer: -5 + 27*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (4016*g**2 + 2*g - 2245*g**2 - 2351*g**2)*(-3 + 2 + 0)*(-3*g - 7*g - g) in the form l*g**3 + c*g**2 + b + n*g and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 138942081791 and -0.38.\nAnswer: 138942081790.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(7488)*2 + sqrt(7488)))\/(((sqrt(64) + sqrt(64) + sqrt(64)*1 - sqrt(64)) + sqrt(64))*-3).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (3*-2*sqrt(160))\/sqrt(8).\nAnswer: -12*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*b**3 + 20*b**3 + 16*b**3 + 17*b**3 + 15*b**3 - 82*b**3.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*t**4 + 47262*t**3 - 2*t**2 + 877015*t wrt t?\nAnswer: 24*t**2 + 283572*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 91663*v + 22. Let d be x(6). What is d rounded to the nearest 10000?\nAnswer: 550000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of -o**5\/60 - 5*o**4\/12 - 19*o**3\/6 - 15*o**2. Let h be r(-6). Solve 4*g - 1 = h*k - 6, -3*k = 2*g - 3 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a**3 - 2*a**2 - a - 4. Let l be s(-3). Suppose -13 = -3*w + l. Suppose d + 24 = 4*r - 2*d, 4*d = w. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + t + 1 = -w, 3*w + 4*t = -6. Suppose 5*s = -4*r + 9, -s - s - 3*r - w = 0. Solve 0 = 2*f + 3 + s for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1051446*r**2 + 1051447*r**2 - 1 - 3 + 4.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (61*h**2 - 12*h**2 - 3*h**2)*(7 - 11 - 11).\nAnswer: -690*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kyke when four letters picked without replacement from htkntnhtykytttyttey.\nAnswer: 1\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -15*q + 14*q. Let s(u) = -u**2 + 3*u + 18. Let w be s(-3). Which is greater: q or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**3\/5 - 74*s**2\/5 + 12*s + 432\/5 = 0. Calculate s.\nAnswer: -2, 3, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15*(-5 - (-136)\/6). Calculate the highest common divisor of k and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 244 = 4*c - 5*y, 240 - 54 = 3*c - 3*y. Suppose 2*s = s + c. Suppose i = -i + b + 24, 0 = 5*i - b - s. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.95 - 0.05. Let i be 8\/(-12)*((-279)\/126 - -2). What is the closest to 0.02 in i, -2\/7, x?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.4 - 2. Let x = -63589 - -63578. Let m = 3 + -6. Sort m, x, f, -0.5 in descending order.\nAnswer: f, -0.5, m, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 23828*p**2 - 47654*p**2 + 24*p - 20 + 23825*p**2. What is t(22)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*o + 9*o + 31*o - 1 + 2.\nAnswer: -13*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*2*sqrt(11) - sqrt(11))**2 - sqrt(11) - (sqrt(44) + 1))*4.\nAnswer: -12*sqrt(11) + 1096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35.5 - 24. Let s = q - 8. Let d = 3 - s. What is the third biggest value in 2\/5, d, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0043342647 to six dps.\nAnswer: 0.004334","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*u - q + 24, -3*u - 3*q = -36. Let g(n) = 2*n**2 - 20*n + 37. Let k be g(u). Which is the nearest to 0.1? (a) 7 (b) 0.2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -82 + 82. Let d be 1856\/4 - (4 - c). Let b be d\/(-245) + 1 - -1. Is 1 != b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -40*m**2 + 10 + m - 33*m**2 + 74*m**2. Determine c(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8.5*0.4\nAnswer: 3.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*5546.\nAnswer: -554.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 12 (b) 2\/9 (c) 3 (d) 96 (e) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -61940 to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/6*2)\/(170\/204)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2063246?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*v - 2*p + 16, -v - 103 = -4*p - 83 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + r = -3*g + 35, 0 = -4*g - 2*r - 42. Let y(q) = -q**3 - 9*q**2 - 9*q - 1. Let l be y(g). Calculate the highest common factor of l and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 d when three letters picked without replacement from {x: 3, n: 4, d: 9}?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 22*h + 4796. Let r(q) = 9*q + 1918. Give 5*a(p) - 12*r(p).\nAnswer: 2*p + 964","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*u**2 + 22*u**2 + 40*u**2 + 21*u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -655 - -660. Suppose 0 = 4*n - 4*s - 1912, n - 2*s + r*s = 490. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 2*m + 3 = 26, -4 = m. Suppose -3*w + 51 = h*c, -c + 0*c + 30 = 2*w. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 3:11 AM?\nAnswer: 10:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 8) in base 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 13. Let d be 3\/12 + (-30)\/(-8). Is 6\/u + 577\/d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75183 divided by -3107.\nAnswer: -75183\/3107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 11\/4*(4608\/(-330) - -14)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-42))\/((65\/(-120))\/(-54 + 7525\/140))?\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 1 = g - 4*m, 2*g + 2*m = 50. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1449 or 1438?\nAnswer: 1449","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tx when two letters picked without replacement from {x: 5, t: 1, u: 5}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g = -4*q - 9*g + 21, 5*q - 10 = 2*g. Let i(s) be the second derivative of -5*s + 1\/4*s**2 + 0 - 1\/6*s**3 + 1\/24*s**q. What is b in i(b) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 6 = 1. Suppose -2*v = -5*x - 0*v + 80, -h*x + 80 = 4*v. Calculate the highest common factor of 64 and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/30 + 185\/(-50).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184\/13 - 6\/39.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6989 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 735.9732 minutes?\nAnswer: 0.5110925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 231\/18 + (-10)\/(-60) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 2 - 5. Let r = 42 - 28. What is the least common multiple of r - -3 - (-4 + o) and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*c**4 + 90*c + 28 wrt c?\nAnswer: 8*c**3 + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2379 is divided by 158.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 560 is divided by 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3365571128?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 52*g**2 - 50*g + 158. Determine w(-53).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 62761787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -474325 + 152?\nAnswer: -474153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**2 - 7*l - 57. Let h be (-1396)\/(-6) + (-6)\/9. Suppose -2*b + h = 2*b. Calculate the remainder when b is divided by r(8).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 742.\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - 1 - 1 - (98 + -90)) + 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -c - 4*x, 8*x = 13*x + 20. Let y be (-23 - -15)*(-1)\/2. Solve 4*a + 40 = y*l, -l - 14 = c*a + 1 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 11*a**2 - 7*a + 2. Let m be s(10). Calculate the common denominator of m\/48*(-38)\/(-6) and 55\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8771.102nm in millimeters?\nAnswer: 0.008771102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -236 or -1887\/8?\nAnswer: -236","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/(-4))\/((-9)\/(-48)). Let d be (-395)\/(-25) + f\/10. Let m(v) = 83*v - 1. Let u be m(2). Calculate the highest common factor of u and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 10*n**2 - 74*n - 3226. Give d(25).\nAnswer: 1174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6620 + -6619.5. What is the fourth smallest value in 0.3, y, 2, -7, 32?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zh when two letters picked without replacement from {z: 3, w: 5, h: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, 6, 1\/11 in decreasing order.\nAnswer: 6, 1\/11, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 5*m - 9*m. Let j(c) = -5*c - 4. Let y(v) = -14*v - 11. Give m*j(z) - 3*y(z).\nAnswer: 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4495337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1331) - sqrt(1331)*-1)*1)**2.\nAnswer: 85184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1855 and 137800.\nAnswer: 964600","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/4 (b) 0.1 (c) -0.2 (d) -2 (e) 52939\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -2, -1, 4, -1\/53, -1640 in increasing order.\nAnswer: -1640, -2, -1, -1\/53, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10053, -80461, -271565, -643713, -1257253, -2172533, -3449901, -5149705?\nAnswer: -7332293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 1 + 4 = 0. Let y be ((-79)\/(-4))\/(i\/4). Suppose -5*k = 2*w - y, -w - 5*k + 111 = 2*w. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2, -4, -22, -58, -118, -208?\n\"Answer: -b**3 + b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 255 and 86343?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 31. Suppose 24*x = o*x. Solve 5*l = -x - 10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - 1 - (66 + -68)) + (-2 - 6)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4585 and 524.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -5. Let r(n) = n + 7. Let i be r(w). Let l(y) = -y**3 - 11*y**2 - 11*y - 7. Let d be l(-10). Solve -d*u + 8*v + 2 = 3*v, -3*u + 6 = -i*v for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 2 = 2*k + 3*x, 4*k + 5*x = -22 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 328 + -344. Let p = 12 + y. Sort -0.4, -8, p, 0.3.\nAnswer: -8, p, -0.4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 35 - 6a50?\nAnswer: -6a1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -7*l + 13, 0 = 5*v - 5*l + 25 - 30 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 507410+1527757\nAnswer: 2035167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 64.839 - -0.161. Let s = z - 64.94. Which is the nearest to 0.2? (a) -5 (b) s (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = -2*y + 8, -6 = -3*k - 4*y - 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 8\/5929?\nAnswer: 8\/5929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -47104 + 12435523\/264. Find the common denominator of 17\/36 and d.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 225001*i**2 + 2*i. Suppose -2*z - 2*z - 8 = 0. Let n be u(z). Round n to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/8701657 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (58\/(-6) - -1)\/(119\/(-357)). Let p(n) = n**3 - 4*n**2 - 3*n + 2. Let q be p(5). What is the first derivative of -h*l**2 - 49*l - q + 49*l wrt l?\nAnswer: -52*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221155 is divided by 34.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3 + 3018*t**2.\nAnswer: -3*t**2*(t - 1006)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -3*i**2 + 18*i - 19. Let q be k(9). What is the common denominator of 55\/2 and 2\/(-12)*-3 + 77\/q?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 + 330*a + 9079. Let t(s) = s**2 - 1. Let c(l) = q(l) + 4*t(l). Solve c(z) = 0.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kdjkdfjwdbkkbjk. What is prob of sequence jj?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 96 - 112. Let p(o) = -7*o - 16. Does 24 divide p(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-156)\/(-195)*5\/(-7). Let k = 23 - 22.95. Which is the smallest value? (a) -0.5 (b) k (c) 0.2 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-8)\/u**(-1\/3))**(1\/20) assuming u is positive.\nAnswer: u**(-23\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 267.70861 rounded to 0 dps?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/41 + 38\/123. Let r = -32 + 32. Which is the nearest to v? (a) 1 (b) -5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxll when four letters picked without replacement from {l: 5, x: 5}?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 30 = 2*r. What is the nearest to 2 in 0.4, -4, r?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 5*f = -54, -5*v + 801*f - 52 - 15 = 804*f - 6 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 325012 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 9:40 AM?\nAnswer: 9:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2023232 divided by -6464.\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 253140*d - 253118*d + 572 = 0 for d.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2914306*c**2*j + 298739*c**2 + 3 wrt j.\nAnswer: -2914306*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -65.088 + 0.088. Let t = 0.01743584 + -65.01744334. Let r = p - t. Round r to 6 decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-38972)\/66 + 48\/(-264))*(-96 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70 (base 11) to base 4.\nAnswer: 1031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 1\/6*g**3 + 1\/6 + 1\/2*g + 1\/2*g**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + s = 80, 79*s + 16 = h + 84*s. Calculate the highest common factor of 26 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -189 divided by -9\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -233221022 (base 5) in base 16?\nAnswer: -105439","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 14) in base 2?\nAnswer: 10010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 + -25. Suppose -198 = -4*q + i*q. What is the greatest common factor of q and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 82089?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6102 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: Which is the closest to -1\/4? (a) -0.2 (b) 26 (c) -6 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -3, 5, -5, -1, 0, -74 in decreasing order.\nAnswer: 8, 5, 0, -1, -3, -5, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40259*o = -36184*o - 97800 for o.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g**(2\/9)\/g)\/g)*g)**(-32)*(g*g**1*g)**32)**(-2) assuming g is positive.\nAnswer: g**(448\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - 3*m. Determine t(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1145590247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1060 - -1099. Solve -239 = -40*i - a for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1116.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 95 and 6194?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h - 14. Let c be m(12). Put c, 2, 3 in decreasing order.\nAnswer: 3, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -136 + 155. Calculate the remainder when 169 is divided by g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29*18.74048.\nAnswer: -543.47392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3902252?\nAnswer: 2, 467, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -527 + 1004 - 477 - 19*x**3.\nAnswer: -19*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7\/(14\/(-312)) - 1. Let d = g + 236. Is d a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(21)*-3 + -1*sqrt(105)\/sqrt(5))\/((-1*sqrt(5103))\/sqrt(9)*-3).\nAnswer: 2*sqrt(3)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -6 (b) 167 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 6*j**2 + 6*j + 2. Let u be g(-5). Let d = -635 + 1907\/3. What is the closest to d in 2\/9, u, -4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 20 = -2*d, -9871*d + 9863*d = 4*p - 224. Factor -49\/2*i - 7*i**2 - 1\/2*i**3 - p.\nAnswer: -(i + 1)*(i + 4)*(i + 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - 7. Suppose -5*s + 106 = 3*d, d + d = 4*s + 56. Let r = -17 + d. What is the highest common divisor of t and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1850, 3639, 5446, 7271, 9114?\nAnswer: 10975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5 + -2*(sqrt(12)\/(-2*sqrt(324) + sqrt(4)))**2) + 5.\nAnswer: 7201\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 + -78945?\nAnswer: -78951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 3*l**2 - 1 - 2*l + l**3 + 0*l**2 - 2. List the prime factors of q(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*c + 23*c - 15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 5*b = 34, -2*m + 4*b + 31 = -m. Suppose -2103 = 16*q - m*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 12. Suppose r = 2*a + 1. Solve -h = 4*t - 10 + a, 1 = h + t for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -443*y + 31036. Let b = 201 - 35. Suppose -g - 4*w + b = -w, 12 = 3*w. What is the remainder when g is divided by p(70)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of -y**6\/240 + y**5\/60 - y**4\/48 + y**2\/2 - 10. Let v(o) be the second derivative of d(o). Suppose v(j) = 0. Calculate j.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 273*a**2\/4 + 164*a + 15 = 0.\nAnswer: -30\/13, -2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19297315.\nAnswer: 5, 181, 21323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 86 = -2*v. What is the remainder when v is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86500*s**2 + 2*s - 2*s - 86502*s**2.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f + 160207*f**3 - 160195*f**3 - f**2 - f + (3*f - 2*f + 0*f)*(1 - 1 - 2*f**2).\nAnswer: 10*f**3 - f**2 + f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4020\/(-105))\/(-134))\/(2\/10)?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 10*s**3 + 3*s**4 - 10*s - 296*s**2 + 291*s**2 + 2*s**4 = 0?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7, 16\/9, 51250?\nAnswer: 51250","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1072479 and 117912?\nAnswer: 867","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31 + -17. Let q = 46 - 42. Calculate the remainder when 4 + 5332\/44 + q\/(-22) is divided by d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + g = -133, -2*g - 180 = -5*v + v. What is the remainder when v is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3592840?\nAnswer: 2, 5, 89821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 10*x + 2*x**2 - x - 3*x**2 - 4. Suppose 0*c + c = 10. Calculate the least common multiple of c and b(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/31950000 and 133\/562320.\nAnswer: 351450000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -4\/3*u - 14*u**3 - 25\/3*u**2 + 0 - 3*u**4 = 0.\nAnswer: -4, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 1041\/13481?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 528488?\nAnswer: 2, 31, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -0.1, -0.6, 57, 3\/4 in decreasing order.\nAnswer: 57, 4, 3\/4, -0.1, -0.6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.9522 + 0.0478. Put 2, 8\/7, v, 3 in ascending order.\nAnswer: 8\/7, 2, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*(f**(6\/17)*f)\/f))**(1\/29) assuming f is positive.\nAnswer: f**(-6\/493)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198*s = 57*s - 1246 - 539 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -5. Is 4 a factor of (-93)\/s + 4\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 39 = 1285*s - 1282*s, 2*s - 46 = -4*w. Suppose -88\/9*u**2 - 608\/9*u**s + 0*u + 98\/9*u**5 + 0 - 1022\/9*u**4 = 0. Calculate u.\nAnswer: -2\/7, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 327316 and 4644.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-136)\/(-85) - (-14)\/10. Let b be 0 + (-12)\/18 + (-10)\/u. Let r = 11 - 40. Put b, r, 1 in increasing order.\nAnswer: r, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -262752, -262757, -262758, -262749, -262724, -262677?\n\"Answer: i**3 - 4*i**2 - 262749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 47791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -15, 481 in ascending order.\nAnswer: -15, 16, 481","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5510038 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1017, -1, 2 in ascending order.\nAnswer: -3, -1, 2, 1017","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -110 + 76.5. Let i = 217 - 185. Let h = z + i. Round h to 0 dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30 - -32. Let h be ((-2)\/4)\/(g\/(-4)). Let i be (-3)\/h*(-30)\/18. What is the second smallest value in 0.1, 0.3, i?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - -25) + -38 + (62 - 93)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/522?\nAnswer: -1\/522","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 9:29 AM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 4*q - 4*q + q. Let p(h) be the third derivative of -61*h**4\/24 + 3*h**2 + 747*h. What is d(p(v))?\nAnswer: -61*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 167563.\nAnswer: 1\/167563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of h**6\/120 + h**5\/15 - h**4\/6 - h**3 + 58*h**2 - 2. Suppose -26 = 5*o - 1. Determine c(o).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 144 or 153?\nAnswer: 144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 4 (b) 465 (c) -20 (d) -0.5 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 876 and 1044849.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*i + 76614*m - 76610*m = -806, -3*m - 82 = -4*i for i.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -857 or -856?\nAnswer: -856","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 72051 and 0.5.\nAnswer: 72051.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23302*t + 14 = 23304*t + 2*n, 0 = t - 3*n + 1 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 1 (c) -51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2727 + 2733 - 12*y**3 - 5460.\nAnswer: -12*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-6*(-37)\/(-222)*(-4)\/1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -111 or -11672\/105?\nAnswer: -11672\/105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 7*f**2 - 2*f + 3. Calculate the smallest common multiple of 8 and r(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 25, 54, 75, 76, 45?\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11054*w - 618*w + 970548 = 0 for w.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1255 divided by 1255\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2361537533 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 - 13 = 5*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151 is divided by 30.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*((-2)\/(-15) - 94\/30). Suppose -7*p = -n*p + 9*p. Solve 5*d = -p*d - 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10769579?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 + 8*h**2 + 11*h - 13. Let r be y(9). Let x(d) = -6*d + 1 + 17*d - 15 - 4*d. Let g be x(7). Calculate the highest common factor of r and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 - 5*f**2 - 6*f - 6. Let c be v(-4). Let w(a) = -a**c - 5*a - 6 - 1 + 2 + 2*a**2. Let q be w(6). Solve b + q = 3*p - 9, -p = 3*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 - 22. Let j(u) be the third derivative of 0*u**3 + 1\/12*u**4 + 1\/20*u**6 - u**2 - 1\/105*u**7 + 0 - 1\/10*u**b + 0*u. Factor j(l).\nAnswer: -2*l*(l - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 45650 + 2?\nAnswer: 45652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r**2 + r - 4. Suppose f = -3*c - 19, f - 6 = 3*c + 5. What is l(f)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4535 * 0.141.\nAnswer: 639.435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (896\/(-147) + 6)\/(1\/(5 - 8))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/3)\/20*-6\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 2 = 0, -2*k + 4*p + 11 = 3*p. Let f = k - 3. Suppose -f*m + 4*m = 133. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 271530.\nAnswer: 2, 3, 5, 7, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kbd when three letters picked without replacement from {j: 1, d: 1, x: 5, b: 1, k: 2}.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12755 is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.5 - 0.3. Suppose -g + 1 + 4 = 0. Let r be (-224)\/(-126) + (-2)\/(-9). Which is the closest to r? (a) g (b) 2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of -b**4\/20 + 2*b**3\/3 - 146. Factor y(p).\nAnswer: -p**2*(p - 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*9\/81*(3\/(-4))\/(-1).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -12 + 94. Let k = 25 + u. What is the tens digit of (-37*1)\/(15 + k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1596*z**2 + 2*z - 7405 wrt z.\nAnswer: 3192*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36*g**3 + 1228*g**2 + 1256*g - 2112.\nAnswer: 4*(g + 2)*(g + 33)*(9*g - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -92833\/16 - -5805. Let n be (60\/(-16) - -3)*608. What is the common denominator of k and (-2 - (-116)\/40)\/(n\/10)?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 j when two letters picked without replacement from njhqjljjlqq.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48 and 12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a millimeter in micrometers?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9335082761 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -7. Let h = -0.6 + 0.7. Which is the nearest to h? (a) t (b) 0.1 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, b: 2, r: 3, o: 6}. What is prob of picking 3 r and 1 b?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - (-1 + 7) - (2 - 11). Suppose -4*p = -3*f - 32493, -d*p - f = -0*p - 40602. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 105 + 45*n**3 - 58*n**3 + 12*n**3 + 51*n**2 + 3*n wrt n.\nAnswer: -6*n + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12587991 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50566263?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31012?\nAnswer: 2, 7753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1950, 1991, 2032, 2073, 2114?\n\"Answer: 41*u + 1909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5832053km in centimeters?\nAnswer: 58320.53","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a day in minutes?\nAnswer: 8100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -a9271 (base 13) to base 15\nAnswer: -60928","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + n + 2*n - n)*((n**2 + 2 - 2)*(10*n + 13*n + n) - 3*n**3 + 2*n - 2*n - n**3 - 3*n**3 + 2*n**3).\nAnswer: 38*n**4 - 19*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h - 3*h + h)*(5*h**2 - 5*h**2 - 6*h**4) + 250*h**3 - 150*h**5 - 250*h**3 + (3*h**2 - 2*h**2 + h**2)*(5*h**3 + 0*h**3 - 3*h**3).\nAnswer: -152*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 91\/13*((-11)\/(-308))\/((-19)\/(-7828))?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0298*0.33202.\nAnswer: 0.009894196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179*v + 466 = -608 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + 2 + -3*4\/12. Suppose 3*a - 15 = -j, 0*a + 3*a + 5*j - 3 = b. Solve 6*t = 4*t - a for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d - 4. Let h be i(-5). Let y be 2 + -1 + 2\/h. Suppose 0 = -y*a - a - w + 88, a - 22 = -3*w. Does 8 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 0*r = -80. Suppose k = 5*f + r, -5*k - 9 = f - 31. Solve p - 2*q = -4 + 10, 14 = 3*p - k*q for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 55 + -53. Suppose 3*o + 17 = -2*g, 0 = -5*o + 3*g + x*g + 5. Let l be 1\/3 + 0 - o\/(-9). Solve -2*j - 18 = -5*r - l*j, -22 = -3*r + 4*j for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4\/7*j**5 - 28*j + 50\/7*j**4 + 0 - 50*j**2 + 108\/7*j**3 = 0 for j.\nAnswer: -7, -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (63\/14)\/((-3)\/(-12)). Let c be 16505\/45 + 4\/i. Suppose -h - 11 = 5*p - 138, c = 3*h + p. What are the prime factors of h?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31\/48 + -5\/16. Let c = 9.5 - -89.5. Let a = 112 - c. What is the second smallest value in -2, x, a?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 28\/6*6\/(-4). Let s = p - -38. Does 26 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {f: 5, e: 7}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/5 + 10219*t\/5 - 18378.\nAnswer: -(t - 10210)*(t - 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + 54*x**2 - 237*x - 3626. What is y(-57)?\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of 71*w**2\/2 - 239. Let p(h) = 7*h. What is o(p(i))?\nAnswer: 497*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, -191073, 8, -3, -5 in decreasing order.\nAnswer: 47, 8, -3, -5, -191073","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.015326381 to three dps.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/10, -14, 4, -9 in descending order.\nAnswer: 4, -1\/10, -9, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 610 to the nearest 10.\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 6*c + 10*c = -57, 3*i = 2*c + 221. Solve -i = -242*w + 253*w for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -134 (base 6) to base 5.\nAnswer: -213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1657*b**3 + 770*b**3 - 875*b**2 - 158*b**3 - 1393*b**2 - 1338*b**3 wrt b?\nAnswer: -14298","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*b**4 + 7*b**2 + 3*b**4 - b**2 - 49*b - 10*b**4 + 0 + 1 as m*b + r*b**4 + v + w*b**2 + l*b**3 and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5.8 and 24.53?\nAnswer: 18.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/38707303 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2703 - 2714. Let k(l) = 53*l**2. Let o be k(-1). Let a = o - j. Is a a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 2*d + 64. Let k = 36 - 28. What is the highest common divisor of k and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1743 + 77?\nAnswer: -1655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2.4 + 107772\nAnswer: 107769.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -214*x - 1878. What is the hundreds digit of b(-18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 702758 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.03 + 37.03. Let t = 204 + u. Let n = t + -241.0596. What is n rounded to three dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 - 29*s**2 - 43*s - 23. Let u be y(31). Suppose -558*t + u*t = 40. Calculate the remainder when 43 is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6\/(-14) + 540\/84?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - ((-2 - 5) + 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9975, -19946, -29917, -39888, -49859?\nAnswer: -59830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**31\/(y\/((y*y**34)\/y)) assuming y is positive.\nAnswer: y**64","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -5*t + c, -3*t - 4*c = 0. Suppose t = -0*x + 4*x - q - 10, 5*x - 5*q - 5 = 0. Solve x*m - 8 = m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -356*v**2*w - 5*v**2 + v*w**3 + 159*w**3 + 16*w**2 wrt v?\nAnswer: -712*v*w - 10*v + w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -83*r**2 + 545*r. Determine g(6).\nAnswer: 282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 51117169 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/(-6) + (2 - -1). Let j be (6 + 0)*(3 - y). Are j and 11 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 10 - 26. Suppose 4*n - 5*g - 215 + 48 = 0, 5*n + i*g = 178. Suppose -5*l + 12 = -n. Which is greater: l or 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, d: 16}. What is prob of picking 2 d?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 41517 or 285\/4?\nAnswer: 285\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -4*o. Let q(k) = k**3 - k**2. Let d be q(o). Suppose 3*t + 3 - 177 = d. Round t to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 654005421 divided by -9?\nAnswer: -72667269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -2*z + 10, -4*z - 5*o = -35 - 37. Let j be 2\/z - (-108)\/(-26). Let t(f) = 3*f**2 + 2*f - 5. What are the prime factors of t(j)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z**3 + 4*z - 3*z**2 - 5*z + 7*z - 4*z to c*z**3 + l*z**2 + y + v*z and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 24*z + 2 = 22*z, 9 = -4*a - 3*z for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -135668 or -135667?\nAnswer: -135667","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -126691 divided by 20\nAnswer: -126691\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -0*a + 50. Find the second derivative of 0*d + 4*d + d**5 - a*d + 2*d wrt d.\nAnswer: 20*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1673 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -11*i**2. Let v(f) = -5*f**2. Let u(j) = -9*j**2. Let z(p) = 3*u(p) - 5*v(p). Calculate z(g(m)).\nAnswer: -242*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -111063\/22418 + -4\/11209. What is the common denominator of c and -83\/282?\nAnswer: 3102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 2*y**3 + (2*y + 3 - 3)*(-5*y**2 + 2*y**2 + y**2) + 42*y**3 + 417*y**3 + 186*y**3.\nAnswer: 639*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*2*sqrt(88)*-1)\/(sqrt(55)\/(sqrt(10)\/(sqrt(2)*3))).\nAnswer: 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 179, 361, 483, 515, 427, 189?\n\"Answer: -5*d**3 + 217*d - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 662, -2\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 490801 - 490798. Let a = 2 - 1. Suppose 0 = -3*v + 6*v. Sort -32, x, a, v in ascending order.\nAnswer: -32, v, a, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 6) to base 11.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u - 898453040283 + 898453040283.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k\/k**(1\/4))\/k))\/k**1*(k\/k**(-4\/5))\/(k*k**2*k*k*k) assuming k is positive.\nAnswer: k**(-79\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 20797585 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -13547550800 rounded to the nearest one million?\nAnswer: -13548000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -4*sqrt(153) + -3*(sqrt(68)*1)\/sqrt(4))**2.\nAnswer: 120*sqrt(17) + 3841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 33, -0.1, 5\/2, -0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 - 9. Suppose 0 = 2*t - 8 + l. Suppose -d = -4*q - 3*d + 30, 0 = -t*d + 15. Calculate the remainder when 8 is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 + -13. Which is the nearest to 0.1? (a) 1\/3 (b) 3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 863, 1797, 2671, 3491, 4263, 4993?\n\"Answer: k**3 - 36*k**2 + 1035*k - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000011894 to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, r: 7, t: 4}. Give prob of picking 2 u.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 260191801 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 50*q - 44. Let b be y(3). Let z(j) = 10 - 108*j - 30 + 10 + b*j. Calculate z(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-3*sqrt(147)*-5*-3)**2.\nAnswer: 10716300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2. Let a(o) = -54*o**2 + 14 + 4773*o - 10*o**2 - 19*o**2 - 4773*o. Give u(a(b)).\nAnswer: 6889*b**4 - 2324*b**2 + 196","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -521 + 13?\nAnswer: -504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d27c9 - 1?\nAnswer: -d27ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 379543091?\nAnswer: 3323, 114217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.01 (b) -44 (c) -0.4 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*t**2 - 2*t + 4*t + 2*t**2)*(84 + 28*t - 84) to k*t**2 + w*t**3 + h*t + j and give k.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 9830 = 2378. Suppose 4*k = -2*o + h - 682, 4*o = -5*k + 2958. What is the greatest common factor of k and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1627\/42 - 229\/6. Suppose 2\/7*n + 2\/7*n**2 - x = 0. What is n?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 81 + -1029. Let u = 1678 + m. List the prime factors of u.\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 - 26 = 2*b. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -45*u - 48. Let s(f) = 45*f + 47. Let x(r) = -6*c(r) - 7*s(r). Differentiate x(n) with respect to n.\nAnswer: -45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*x - 7217 = 450*x + 466*x + 5615 for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.946986 days to nanoseconds.\nAnswer: 600219590400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -4\/5*l**2 + 2*l + 104\/5 = 0.\nAnswer: -4, 13\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 244040 + -3221?\nAnswer: 240314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.01 in 5, -0.3, -198\/19, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -130 + 31?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 195*n**2 + 1472*n**2 - 470*n**2 + (-10 + 10 - 6*n)*(-3*n + 0*n + 0*n).\nAnswer: 1215*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 12:20 AM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 2*j + 66 = 0. Solve -3*m + j - 8 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-2*(sqrt(57)\/(sqrt(3) - (-4*sqrt(33))\/sqrt(11)) + 4))**2.\nAnswer: 1152*sqrt(19)\/5 + 60336\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + (0 - -2 - (21 - 6 - 23)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 342612556?\nAnswer: 2, 11, 13, 598973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26278 - -946133\/36. Find the common denominator of x and -127\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/2*32\/6. Suppose 30 = -6*w + t*w. Does 10 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -453*r - 40*r - 8874 for r.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - 5*l**2 + 5*l + 2. Let w be (-4 + 259)*(0 + (-4)\/10). Let h = -104 - w. Let t(d) = d**3 + 2*d**2 - 2*d - 1. What is h*m(i) - 5*t(i)?\nAnswer: -3*i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4023272083 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.2 times 10?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11744256?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - -14) + (-1 - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j**3 - 13*j**2 + 7122*j - 42696. What is o(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 124 and 930?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -327352 divided by 332.\nAnswer: -986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 1:38 PM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 43 (base 13) to base 3\nAnswer: 2001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 2*f**4\/11 + 60*f**3\/11 + 10*f**2 - 60*f\/11 - 112\/11 = 0.\nAnswer: -28, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 369?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 2 - 9 + 533*k.\nAnswer: 533*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -32, -268, -678, -1262, -2020?\n\"Answer: -87*c**2 + 25*c + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -23, -0.3, -5, 0.4, -4, 4218, -0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5*((sqrt(252) + 0)**2 - sqrt(252)).\nAnswer: -30*sqrt(7) + 1262","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + (-1)\/(3\/9). Suppose 0 = -2*b + 4, 2*b - 19 = -0*w - 3*w. Suppose 4*t - 9 = -w. What is the closest to d in -4, -2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a day in hours?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-35))\/((-4)\/4)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1 (b) 66610 (c) -22 (d) 3 (e) 1\/3 (f) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29610 is divided by 581?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 0*w + 132. Let i = w + -3. What is the highest common divisor of i and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + c + 1)*(-2*c**3 + 0*c**2 + 0*c**2) + 776171*c + 1160*c**4 - 776171*c.\nAnswer: 1158*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1404863 - 4?\nAnswer: 1404859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16.207787253 - -0.207788203. Let m = 0.01 - -15.99. Let w = m + b. What is w rounded to 7 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a week in minutes?\nAnswer: 8820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express k**3 - 4*k**2 - 113*k**2 + 68*k**2 + 50*k**2 - 2*k + 6421*k**4 as n + l*k + u*k**4 + f*k**3 + w*k**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -k - 4*h, 0 = -k - 5*h + 12 - 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 335 = -5*j, -3*r - 51 = -j - 0*j. Let l = j - 529\/8. Let w = 0.04 + -0.24. Sort 0.4, -2\/13, l, w in decreasing order.\nAnswer: 0.4, l, -2\/13, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -2*j**4\/3 + 51401*j**3\/6 - 84511001*j**2\/3 + 4144211392*j - 1034292336 = 0.\nAnswer: 1\/4, 154, 6348","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b**3 - 2*b**2 + 5*b - 10*b + b + 5 + 8*b to the form w*b**3 + m*b**2 + d + a*b and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237 is divided by 57.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w**4 - 37*w + 182*w - 43*w - 41*w - 47*w + 2*w**2 - 2 to a + f*w + m*w**4 + i*w**2 + y*w**3 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -3*l**2 - 50*l - 19. Let n(x) = -2*x**3 + x**2 + 54*x - 112. Let y be n(2). Calculate t(y).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3 + sqrt(1573)*1).\nAnswer: 12 + 44*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -333*u + 78 = -411*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xi when two letters picked without replacement from yyiyxyxyxi.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 PM and 6:22 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80 and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1386)\/(-462)*(4\/(-24))\/(7\/4620*6)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*d - b + 9, -369*b + 374*b - 13 = -2*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + 43*n**2 - 189*n - 148. Give x(-47).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -153.1 + 121. Round n to 0 dps.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70, -246, -544, -970, -1530, -2230, -3076, -4074?\nAnswer: -5230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*g + 2*g**2 + 0*g**3 - g - 9*g**3 + 2*g**3 + 1 - g**4 as b*g**4 + t*g**2 + y*g**3 + h + q*g and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 92689863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3017, 3000, 2969, 2918, 2841, 2732?\nAnswer: 2585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gjgj when four letters picked without replacement from jggj?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 64735 = -3*h, -4*o + 64736 = 2*h - 6*h. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3118b (base 15) in base 2?\nAnswer: -100101111111010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (195 - 7)\/2 - 4\/2. Let x = 93 - i. Let s be (2\/x)\/((-24)\/10 - -2). Let g(h) = -10*h + 5. Let n(r) = -11*r + 6. Determine s*n(m) + 6*g(m).\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2315 + -2310. What is the closest to 0.1 in s, -5, -1, 4\/17?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 + -0.1. Let t = 0.09 + 3.91. What is the closest to -1 in 0, t, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 + -1 - 2) + (-19 - ((5 - -7) + 0))\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(((-3)\/408)\/((-36)\/(-216))). What is the greatest common divisor of 238 and x?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(3\/12*3\/3). Suppose -2*v = j*a - a - 2, 0 = -5*a - 4*v. Factor 0*d - 10\/3*d**a - 2\/3*d**2 + 0 + 4\/3*d**5 + 8\/3*d**3.\nAnswer: 2*d**2*(d - 1)**2*(2*d - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 10894515, 10894526, 10894563, 10894638, 10894763?\n\"Answer: 2*s**3 + s**2 - 6*s + 10894518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 24 and -923.\nAnswer: -899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/(-4))\/((-8)\/10774). Let x = o + -2015. Find the common denominator of 75\/4 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142336237 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 r when two letters picked without replacement from wwwwwrww?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -48 * 6701\nAnswer: -321648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*h + 0*h**3 + h + 2 - 2*h**3 in the form x + r*h**2 + o*h**3 + n*h and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.0619385 * 12\nAnswer: 0.743262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-43)\/(((32\/4)\/((-24)\/(-3)))\/((-1)\/(-1))).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3225 - 1?\nAnswer: -3226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/5*((-61)\/3 - -7). What is the greatest common divisor of j and 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/((-95)\/(-6)) - -1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12525 and 54418954?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 301.79 - 300. Let c = 57.79 - b. What is the smallest value in -1\/2, c, -2\/19?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -60247?\nAnswer: -60254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) 0.7 (b) 2 (c) 679\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = 6*v + 7. Let u be 3\/2*v\/((-6)\/(-2)). Let i(h) = h**3 + 4*h**2 + 4*h + 4. Calculate i(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 82\/31105 + -69776013\/12442. Let p = k - -5613. Find the common denominator of -5\/14 and p.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 12*m. Let x(u) = u. Let d(r) = 2*h(r) - 20*x(r). Let s(l) = -l**2 + 4*l. Let k(t) = 3*t. Let o(w) = 4*k(w) - 3*s(w). What is d(o(n))?\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of y**4\/12 - 7*y**3\/6 + 18*y**2. Let g = -1 + 6. Suppose -g*w + 55 = -5*v, -5*w - 4*v + 1 + 9 = 0. Give b(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2354237?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -212 + 135. Let t = -79 - x. List the prime factors of (1 - (-237)\/(-9))\/(t\/6).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 9*q**2 - 3. Let b(i) = -i**2. Let m(j) = -4*b(j) - u(j). Let x be m(5). Suppose 4*n + x = 11. Solve n = -g + 6 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/14 and 17\/18338?\nAnswer: 128366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 60 or 3519\/58?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -23*c**3 - 4*c**2 + 4*c + 7. Is m(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0658? (a) -5 (b) 0.3 (c) -37 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 256 and 27816?\nAnswer: 890112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 - 17*o**2 - 4*o - 368. Let h be i(-18). Solve 4*c = -2*d + h, 22*d - 34 = 19*d - 4*c for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 + 12*b + 15. Let f be w(-11). Let x(h) be the second derivative of h**5\/20 - h**4\/4 - h**3\/2 - 2*h**2 - 3*h. Calculate x(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmiwwwiiiiii. What is prob of picking 1 m, 1 i, and 1 w?\nAnswer: 63\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -78*q**2 + 9*q + 24. Let w be y(-2). Let m = w - -309. Solve 14 = -5*f - m*z, 3*z - 16 = 4*f + 6 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -6*t - 3. Let j(y) = -25*y - 301 + 581 - 293. Give 26*g(i) - 6*j(i).\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(2\/(-35))\/((-46)\/(-322)).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -106, -1, -6, -4, 3884.\nAnswer: -106, -6, -4, -1, 3884","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2*y + 4)*(1 - 4 + 1)*(9*y**3 + 2*y**3 + 0*y**3).\nAnswer: -44*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 179, -3\/2, -3, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 147517 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 4*r - 11. Let k be i(4). What is the derivative of -2*p + 2*p + 4*p + k*p + 19 wrt p?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 356.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 39574 and 345220.\nAnswer: 16225340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 390.5513 years to decades.\nAnswer: 39.05513","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b. Suppose -3*j = -15, -4*d - 49 = -7*j + 2*j. Let m be p(d). Suppose 4*h - m = h. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 AM and 9:34 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2. Let c(k) = 14*k**2 + 1. Let w(o) = -c(o) + 4*y(o). Let n(l) = -6*l**2. What is n(w(v))?\nAnswer: -600*v**4 - 120*v**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - 6*n**2 - 7*n. Let g(b) = -3*b + 25. Let w be g(10). Determine d(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -939\/277 or -4?\nAnswer: -939\/277","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 + 9*k**2 + 3*k - 15. Let q be r(-9). Let a = -43 - q. Let t be -2 - -123*(-4)\/(-6) - a. What is the greatest common factor of 27 and t?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) 4 (c) 0 (d) 2 (e) 82\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*a + 21. Suppose 386 - 9740 = -3*c + 2*h, -h = 3*c - 9354. Suppose -a*d = -17*d + c. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8 + 9 - 1 - 130*h - 103*h**3 wrt h?\nAnswer: -618*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164*y = -21972 + 18856 for y.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*s**2 - 3*s**4 - 15*s**2 + 0*s**2 + 6*s**2 + 19*s + 47*s - 36*s**3.\nAnswer: -3*s*(s - 1)*(s + 2)*(s + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3022393 to the nearest 10000.\nAnswer: -3020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 61 = -4*j, -4*j + 2*g - 3 = 43. Let c = 0.073 + -0.113. What is the closest to j in 2\/23, c, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -195963 by -5722.\nAnswer: 195963\/5722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d67bfd - 4b?\nAnswer: d67bb2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oiijawa. What is prob of picking 1 o and 1 j?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/(-9))\/(7\/(252\/12))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**3 - 49832*k**2 - 15734852*k - 1258309024.\nAnswer: -4*(k + 161)**2*(k + 12136)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 4*j - 3. Let i = 1 - 4. Let n(b) = -7*b + 5. Let c(m) = i*n(m) - 5*u(m). Let a(h) be the first derivative of 7*h**3\/3 - 1. What is c(a(x))?\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 227 + -bb?\nAnswer: 14a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - 10*h**2 + 10*h - 14. Let v be c(-11). Let d = -3 - v. Is 7*5 - d\/(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.251 (b) 0 (c) 2\/7 (d) 0.23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (30\/(-35))\/(-3) + (-766)\/(-14). What is the third derivative of l*f**2 + 8*f**4 + 0*f**4 - 38*f**2 wrt f?\nAnswer: 192*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, z: 5, q: 7}. Give prob of sequence uu.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3426 + -2?\nAnswer: 3424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - 17*v + 42. Let i be s(14). Suppose -62*z + 57*z = i. Suppose z = 3*d - 2*o - 353, -d + 0*o = -4*o - 131. Does 11 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = 8*a - 100. Suppose -27*p + a = -220. Calculate the remainder when 73 is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*z - f, -3*z + 19 + 2 = 3*f. Suppose -3*x + 9 = 3*p, 2*p = -x - 0*x + z. Does 5 divide x\/(((-2)\/(-20))\/(-1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of 993*s**5\/5 - s**4\/2 - 254*s**2 - 966. Find the second derivative of w(m) wrt m.\nAnswer: 11916*m**2 - 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 816658537?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**4 - 3026*l**3 + 24304*l**2 - 48672*l.\nAnswer: -2*l*(l - 4)**2*(l + 1521)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*b + 24*b + 20 = 0. Let x(y) = -3*y**3 + 8*y. Let r(f) = -5*f**3 + 12*f. Let d(n) = 5*r(n) - 8*x(n). Let o(t) = -t**3 - 5*t. Give b*o(l) - 3*d(l).\nAnswer: l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 322070093 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 44 + 6 + -8 - 41\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 4*v + v - 4*v + 0*v. Let f be x(5). Let h = f - 2. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-165)\/(-10395)*(-14)\/8?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 70694*u. Let v(l) = 46*l. Calculate r(v(q)).\nAnswer: 3251924*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/60)\/(2\/(-9552)). Let y = a - 483. Calculate the common denominator of y and 101\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/10224744 and 11\/2130155.\nAnswer: 51123720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -351*a + 150 = -349*a. Let l(h) = -17*h + 1. Let w be l(-7). Let y = w - a. Does 45 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 2 = 3*k - 4*f, 3 = -k + 3*f. Let w be (120\/(-18))\/(4\/k). Let b be 2\/(9\/(-7) + w\/35). Is -28\/9 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -49\/5 or 60\/7?\nAnswer: -49\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 3*l + 4*q + 16 = 0, 0 = 2*l + 4*q + 16. Which is the closest to 1? (a) 5 (b) l (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 5*r. Let k(b) = -3*b + 185 - 185. Calculate u(k(o)).\nAnswer: -15*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 687.78 + -703. Let k = z + 16. What is k rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -34*m + 30*m, 0 = -5*t + 4*m + 28826. List the prime factors of t.\nAnswer: 2, 5, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 478140?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**5 - j**4 - j**2 + 1. Let q(h) = 2*h**5 - 3*h**4 - 4*h**3 - 5*h**2 + 3*h + 3. Let s(m) = -3*p(m) + q(m). Find the third derivative of s(z) wrt z.\nAnswer: -60*z**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2212 - 91.1977?\nAnswer: -2303.1977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 6 = 0, -2*p - 3*h = -3*p + 7. Let x(g) = g - 9044 + 9049 + 0*g. Determine x(p).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1093 = -3*t + 138*t - 8518. Suppose -37 + 103 = 2*q. Calculate the greatest common factor of t and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-5) + (-273)\/(-910)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1115 (base 7) in base 16?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + q**2)*(55 - 55 - 12*q**2) - 2*q**4 + 3*q**4 - 2*q**4 to the form k*q + f*q**4 + t + a*q**3 + j*q**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b*g**3 - 44*b*g + 182*b*h + 1432749*g**3*h wrt b.\nAnswer: 2*g**3 - 44*g + 182*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = 2*g + 2*s - s - 72, s = -0 + 2 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 5*p + 91. What is the remainder when l(39) is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2556935 divided by -18\nAnswer: -2556935\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-617 - -603) + -39 + 1 + -3?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.0282, -8.094, -0.3, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -4*o. Let r(t) = -323*t - 17. Give -68*p(j) + r(j).\nAnswer: -51*j - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27 + (160\/(-6) - -1))\/(354\/(-9)).\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 15*w**2 - w - 1. Let o be b(1). What is the highest common divisor of o and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of -22\/7*z**2 - 4\/7*z**4 + 16\/7*z + 2\/35*z**5 + 2*z**3 - 14. Factor a(s).\nAnswer: 2*(s - 4)*(s - 2)*(s - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6301?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c - 97*b + 301, -8 - 8 + 22 = 2*b for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2152132 (base 7) in base 2?\nAnswer: 1000000101010100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1994 to the power of 1\/3, 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 7:32 AM and 11:44 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*z + 34*z - 21*z + 152. Let h = -1 - -5. Which is the nearest to -1\/3? (a) h (b) -0.07 (c) -3 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.441 times -52.47\nAnswer: 128.07927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 11\/4 of a tonne?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2034 = -51. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -0.047, -0.03?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + 0 + -4 - (sqrt(243)*-4)**2 - ((sqrt(72)*1)\/sqrt(8))\/(sqrt(6)\/sqrt(50)).\nAnswer: -3892 - 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (51\/34)\/(-1*(-1)\/2). Let c = 51 + 107. What is the third derivative of 2*j**2 + c*j**u - 158*j**3 + 4*j**5 wrt j?\nAnswer: 240*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/5*(-3 - -5)*2250\/225\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/237 and -52\/3.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*d + 28 = 0. Let t = d + 23. What is the highest common factor of 48 and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (3915\/(-58))\/((-2)\/8) is divided by 55?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 m when two letters picked without replacement from {m: 1, o: 1, d: 6, s: 1, l: 4, c: 2}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.05175 and 875487289?\nAnswer: 875487289.05175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 139 - (134 + (-143 - -90))\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.0155 (b) -4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 203 - 208.7. What is the nearest to 0 in g, -2\/15, 2\/9?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11322312 (base 4) to base 10\nAnswer: -24246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t*t*t**(-25)*t)*(t*t**(-37)\/t*t)\/t*t)**(-5) assuming t is positive.\nAnswer: t**70","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 1195*i**2 - 15*i + 40. What is the thousands digit of c(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 5 = -5*s, -4*d - 3*s = -4 - 2. What is the derivative of b - 9*b - 4 + d - 1 wrt b?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 q when two letters picked without replacement from {y: 2, x: 1, l: 2, e: 1, d: 1, q: 7}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*w - 34 = -4*k, -w = 20*k - 16*k + 11 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x**3 + 6 - 6 + 3)*(-3*x + 5*x - x) + 0*x**4 + 9*x**4 - 4*x**4 + (x**3 - 2*x**3 - x**3)*(x + 0*x + x) + 0*x**4 + 8*x**4 - 5*x**4.\nAnswer: 8*x**4 + 3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2025\/(-180))\/(3\/(-544)). Solve 2046*k - 36 = j*k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.041 + 0.441. Let h = -126 - -123. What is the second smallest value in h, f, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 32 = -2*d, 0 = -3*q + 2*d - 9 - 15. Suppose 12 = -4*b, 0*l = l - 5*b - 54. Let f = l + q. Calculate the remainder when f is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sdrrhrohnho. Give prob of picking 1 n, 1 s, and 1 h.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -6*l**3 + 146*l**2 - 47*l - 17. Let t be x(24). Solve 0 = -t*v + 48 - 55 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2*i + 5*o - 4 = 0, -2*o - 1 = 3*i. Let q = 8.5 + -9. Let z be 3 + (6 - 45\/9). Which is the fourth smallest value? (a) q (b) z (c) i (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 PM and 12:41 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 81667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 3*u**3 - 8*u**2 + 12*u + 10. Let r be t(2). Solve r*y + 15 = -63 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 76 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-10 + 20 - 7).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of 251*g**4\/4 - 190*g**2 - 1011. What is the second derivative of i(c) wrt c?\nAnswer: 1506*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3313679 rounded to the nearest one hundred thousand?\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 10*r. Let w(q) = 2125 - 706 - 714 - 705 - 12*q**2. Calculate w(k(l)).\nAnswer: -1200*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 50*z)*(-z + 5*z - 3*z)*(51 + 7 - 160).\nAnswer: -5100*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5824 - -18299. What is the ten thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = p - 231, a + p - 3*p - 123 = 0. Let i = 204 - a. Is 3 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(0 + 1 + (-2 + sqrt(300))*5*-3) + 4)**2 + 0.\nAnswer: -238500*sqrt(3) + 1712781","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 AM and 7:29 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7755 (b) 4.3 (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 - 5*r**2 - 6*r - 5. What is p(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n**3 - 91*n**2 + 42*n - 159. Calculate the smallest common multiple of 1 and l(-46).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -630*g**4 + 376*g**2 + 154668*g wrt g.\nAnswer: -7560*g**2 + 752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25301 + -9162. Is 16139 >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -231*n + 6*n**2 + 231*n + 0*n + 0*n + n**2 + 0*n**2 - n**2 - n**2 + (3*n + 0*n - n)*(0*n - n + 0*n) + n**2 - n + n + (n - 4 + 4)*(2*n + 3*n + 5*n).\nAnswer: 14*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 103 - (90 + -102 + 108).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from dddddcc.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-4)*d)**(-2\/31)*d*d**3*d**(-2) assuming d is positive.\nAnswer: d**(68\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express h**2 - 473 + 447 - 1233 in the form f*h + t + z*h**2 and give t.\nAnswer: -1259","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-15))\/((-22)\/(-275))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 8*g**2 - 8*g - 2. Let x be j(-7). Let b(c) = -7 + 6*c + 3 + x. What is b(2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (22\/(-2))\/((-1)\/2). Solve 4*o + 0*o + 36 = -4*h, -3*h - i = 2*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18.4? (a) -5 (b) 3\/14 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**3 + 40 - 54 + 170*k**2 - 170*k**2.\nAnswer: 2*k**3 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (19 - (-3 + 6)) + -4. Suppose 7*z = k*z + 225. Let r be 2\/(-9) + 80\/z. Sort -5, 5, r.\nAnswer: -5, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 - 8*x - 15. Let l be r(10). Suppose 2*n - 14 = -3*g + 12, l*n = 5. Let v(a) = 4*a + 1 - 4*a + g*a**2. Give v(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 7*d**2 - 3*d + 2. Let i(r) = -5*r**2 + 2*r. Let w(g) = -3*i(g) - 2*j(g). Let y be 0*(0 - (-2 - -3)). Suppose 0 = 5*n - y*n. Calculate w(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 855314722 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 3*m = 5, -10*g + 7*g + 47 = -5*m. Suppose -n + 3 - 18 = 0. Sort n, g, 5 in decreasing order.\nAnswer: 5, g, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2625\/(-14))\/(-25) - 14 - -6.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -18*u + 49. What is the units digit of i(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 5*x + 10, 2*u - 2*x = 3*u - 3. Suppose 5*d - 14 = 3*d. Let c = 9 - d. Solve -c*p = -u*p + 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 4*h**2 - h - 3. Let m be i(3). Suppose -22 = -3*q - 4*a, -m*a = 17 - 2. Is 11 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84 + 43 + 41 + 278*n**3 + 135*n**3.\nAnswer: 413*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 60 + -57. Let y(q) be the third derivative of 0*q**4 + q**2 + 0*q + 0*q**s + 1\/540*q**6 + 0 + 1\/270*q**5. Find i, given that y(i) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -12*t**2 - 538*t + 9053. Calculate z(13).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of 9*f**5\/10 - f**4\/8 + f**3\/6 - 8*f**2 + 190. Let q be (-1 - (-5)\/3)*-3. Is j(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30778*c - 30783*c - 60 = 5*v, 3*v + 2*c = -32 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11.11 and -124731.\nAnswer: 1385761.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*k + 114 = 6*h, 3*h + k - 69 = 0. Suppose 0 = -5*n + 8*n - h. Solve s + 2*s = 0, -n = 4*y - 5*s for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1573, 3151, 4729?\nAnswer: 6307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in 0.2, 3\/22, -2.27, 5, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d*d**(-2\/3))\/d)\/d)**35\/(d**(-11)\/(d**(-3)\/d)))**(1\/45) assuming d is positive.\nAnswer: d**(-154\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -87, -408, -949, -1710?\n\"Answer: -110*x**2 + 9*x + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/5 - 12\/(-5). What is the third derivative of -5*d**2 + 234*d**5 + 20*d**h - 227*d**5 wrt d?\nAnswer: 420*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10501 - 9679. Which is bigger: y or 825?\nAnswer: 825","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*k - 853*k - 4*y + 164 = -597, -2*y + 4 = -4*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5\/304 - 7099\/2736. Calculate the common denominator of 3\/104 and m.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -4 - (-1 - 6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2163099.\nAnswer: 3, 79, 9127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -2*b - 8, -82*i + 78*i - 2*b = 14. Put -3, -1, -13, i in ascending order.\nAnswer: -13, -3, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46894373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a century in months?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + 0 + 0 + 2. What is the third derivative of -3*g**3 - 3*g**2 + g**3 + 4*g**t wrt g?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 41*u - 43*u - u**2 - 2 + 3. Let x be j(-2). Which is bigger: x or 2\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 201\/215?\nAnswer: 201\/215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -155953, -311722, -467491?\n\"Answer: -155769*t - 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - z)*(3*z - 3*z - z) + 2*z**2 + 1757057 + 1455*z - 1757057.\nAnswer: 3*z**2 + 1455*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddvcdgw. What is prob of picking 1 c and 1 g?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -611259, -611208, -611157, -611106, -611055?\nAnswer: -611004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {r: 2, y: 8}.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of s**3\/6 + 58*s**2 + 16*s + 5. Let a(t) be the first derivative of b(t). Let y(z) = 6*z + 1. Give -2*a(o) + y(o).\nAnswer: 6*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 877185074?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 438060174?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 654*i**3 + i - i.\nAnswer: 654*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i + 1 + 2*i - 12*i**2 - 7*i**2 + 13*i**2 to the form k*i + d + f*i**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.82 + -3.18. What is the third smallest value in -21, -2, v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -265248 divided by 921\nAnswer: -288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 + -19. Let w be t\/(3\/(-4 - -1)). Solve w*x + 6 = 3*z, -4 = -2*x - 0*x for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 204048075 divided by 40809615.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -4*c**3 - c**2 - 3*c + 18. Let o(m) be the first derivative of -11*m**4\/4 - 2*m**3\/3 - 4*m**2 + 53*m + 2271. Calculate 3*o(y) - 8*q(y).\nAnswer: -y**3 + 2*y**2 + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 6 = 14. Suppose -o*g + 4 = 9. Let i = -1.9 + -0.1. Which is the nearest to 0.1? (a) -1\/3 (b) g (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*v + 398*v + 529*v.\nAnswer: 1049*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22 + -223230211?\nAnswer: -223230123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 118014 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1017.223 - -1128.23348. Let b = g - 111. What is b rounded to three dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2*m + 1 = 0, -11 = -d - m - 3. Suppose 2*p + d*w = 70, 3*w - 168 + 63 = -3*p. Let s = -16 + p. Does 19 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.31857 - -1.69143. Sort -0.1, r, -5, -1\/7 in decreasing order.\nAnswer: r, -0.1, -1\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 5*t = 55, -5*j - 3*t + 97 = -2*t. Let g be ((-5)\/(-1))\/(6\/60). Calculate the greatest common factor of g and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000048928 rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -5. Is j <= 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10036 + 2653?\nAnswer: 13022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -213 divided by -239299?\nAnswer: 213\/239299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/(-8))\/((-4)\/16). Let m be (-42)\/(j\/12 - 1). Round m to zero dps.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99787243957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -110 (base 12) to base 16\nAnswer: -9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -6, -358, -2 in decreasing order.\nAnswer: -2, -3, -5, -6, -358","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 14*w = 3*y + 100, -6*y - 22 = 69*w - 73*w for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 3*l + 12. Let d(m) = -28*m**2 - 446*m + 32. Let u be d(-16). Determine f(u).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -19*d**5 - 5*d**3 + 16*d. Let b(y) = 19*y**5 + 6*y**3 - 15*y. Let r(z) = -5*b(z) - 6*k(z). What is the second derivative of r(h) wrt h?\nAnswer: 380*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2623 (base 12) in base 8?\nAnswer: 10373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from snwspzf. Give prob of sequence fp.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93637.69 micrometers to millimeters.\nAnswer: 93.63769","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3024857?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30013948 to the nearest integer?\nAnswer: 5478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43, -30, 17, 116, 285, 542, 905?\nAnswer: 1392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**2 - 51*y + 135. Let l be q(3). Solve l = 4*d + 37 - 45 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bm when two letters picked without replacement from {m: 3, b: 17}?\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000178977 rounded to five decimal places?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36 - 32. Suppose 561 - 9277 = -m*p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 6*g**2 + 5*g + 7. Let m be l(-5). Suppose c = m + 11. Does 18 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3044, -6089, -9134, -12179, -15224?\n\"Answer: -3045*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7\/2 + 5. Let y be 2\/(-6) + (-2868)\/(-54). Let x = 53 - y. What is the second smallest value in f, 1\/5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*a + 89 = -31 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2975*y + 106164. Give n(36).\nAnswer: -936","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -61649\/8 + 7706. What is the fourth biggest value in 5, u, -3\/8, 0.04, -0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = p - 6, -p = -3141*x + 3150*x - 38 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 811*p - 9.\nAnswer: -811*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -260*k - 11592 = -720*k + 292*k for k.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 500 and 930.\nAnswer: 46500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116609?\nAnswer: 29, 4021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1079, -1269, -1781, -2777, -4419, -6869?\n\"Answer: -27*y**3 + y**2 - 4*y - 1049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 7*o**2 - 5*o - 7. Let i be v(-7). Let p(q) = q**3 - 2*q**2 - 6*q + 6. Let f be p(4). What is the highest common factor of i and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 79566, 318350, 716362, 1273608, 1990094, 2865826, 3900810, 5095052?\nAnswer: 6448558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 8 - 4 = 0. Let j be (-1 + 1)*y\/(-6). Let v(q) = -q**3 + q**2 - q + 113. Is v(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 7124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l - 3*r + 12, -2*r - 613 + 302 + 317 = 4*l - 3*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 122036, 244082, 366124, 488162, 610196?\n\"Answer: -2*v**2 + 122052*v - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 2203224.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 221\/3 + -73. Let p = m + -7\/24. Which is bigger: p or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 8133.309 micrograms?\nAnswer: 8133309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = 3*d + 15. Let s(t) = 3*t + 3. Let r be s(6). Let x be (r + 3)\/(-3) - -3. Put d, -4, x in descending order.\nAnswer: d, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/4)*k**0)\/((k*k**0)\/k**0) assuming k is positive.\nAnswer: k**(-5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 13*d = -24. What is the tens digit of 35 + 2 - (-1 - 0)*d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (17\/((-102)\/(-990)))\/((-3)\/(-38)). Suppose -24*i - 14*i + f = 0. What is the highest common divisor of 25 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/(-2))\/((-3)\/(-8)). Let j be (-4)\/16 + (-1)\/g. Solve 5*s = -3*l - 25, l + 3*s + 2 + 9 = j for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 9*g - 7*g. Let l be g\/(-8) - 97\/4. Let q = l + 38. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + t + 1. Let x(n) = 4*n**3 - 4*n - 4 + 3*n**2 + 6*n**2 + 14*n**3. Let l(f) = -4*c(f) - x(f). What is the third derivative of l(q) wrt q?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (2 - (-1 - 0 - -4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 196.87493 plus 2.054?\nAnswer: 198.92893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2e2c - a416?\nAnswer: -75ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2465050?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/((-12)\/(-20)) - (-1 + 2). What is the common denominator of ((-93)\/(-45))\/((-176)\/12 - o) and -51\/2?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/11 + (-6)\/33. Let b(g) = -g + 4. Let s be b(8). Let j be (-22)\/70 + s\/14. Is t at most j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9083 + -136243\/15. Let k(d) = 2*d - 4. Let s be k(3). Suppose 5*q - s*q - 5*c = 18, q + 3*c + 8 = 0. Is q < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from kkwkkwkkwkwkkkkwkb.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -280 divided by 280?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 - 11*r - 25. Let h be p(-6). Suppose -2*q + 5 = h*m + q, -3*m - 3 = 3*q. What is the highest common divisor of m and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 2. Let s be ((-9)\/((-27)\/(-7795)))\/(4\/(-12)). Suppose d = -3*z - 2*z + s. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -86 in 51, -5, -0.7, -1\/7, 22?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 3*f + 1, 0 = -7*p + 4*p - 2*f + 25. Let a(w) = 2*w + 7 + 2*w + 26*w. Is a(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1748 is divided by 65?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of i**3\/3 - 9*i**2 + 52*i - 22. Differentiate v(k) wrt k.\nAnswer: 2*k - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -24802*x - 519. Is t(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*2\/(6\/(9\/(-3)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-6223785.\nAnswer: 2489514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1767 and 837.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 6:58 AM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.98 + -0.02. Let t = -0.5 - z. Which is the second biggest value? (a) -4 (b) t (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*((-2)\/4)\/((-28)\/28)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3\/475 + -3352\/4275. Let k = 5\/18 + t. Let w be 22\/20 - 2\/4. Which is the nearest to k? (a) w (b) 5 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 PM and 6:10 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1221012 - -11102?\nAnswer: 2002121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 88*l**2 - 791*l - 4. Let y be n(9). Sort 36, y, 0 in ascending order.\nAnswer: 0, y, 36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 439166 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 + (73 - -10) + 26 - (-4 + 1) - -5?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((sqrt(275)*2 - sqrt(275))*2)**2*2 + -1).\nAnswer: 13194","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -230 - -230. What is the nearest to 2\/5 in -7, -1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1803, 7055, 15745, 27867, 43415?\nAnswer: 62383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1522628 by -1.\nAnswer: -1522628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = -48 + 47 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59989564?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, i: 4, x: 8, n: 3}. What is prob of picking 3 v and 1 n?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4814513?\nAnswer: 11, 439, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 378 and 16254.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 11267442.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 8*z**2 - 8*z + 5. What is c(-7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1971803718 to the nearest integer?\nAnswer: 44405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 280*n**2 - 36*n**4 + 455*n**3 + 0*n**3 - 20*n + 191*n**4.\nAnswer: 5*n*(n + 1)*(n + 2)*(31*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 1 = 3*z + 2*z, 0 = -5*z - 5*o - 15. Calculate the remainder when (846\/(-18))\/(z + 0) is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 128586 and 2088?\nAnswer: 1543032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 9. Sort 28, n, 0.1 in ascending order.\nAnswer: n, 0.1, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, e: 1, u: 1, o: 1, d: 1}. Give prob of sequence eo.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -635*x + 638*x + 2, 6 = 3*d - 3*x for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 189 and 3984057?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 16 = -4*l, 2*y - 5*y = l + 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 124, -209, 18947.\nAnswer: -209, 124, 18947","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 749 + -758. What is the closest to j in -1\/4, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 876 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**7)\/q**(-1\/13))\/(q\/((q\/q**7)\/q)*q**(-1\/6)) assuming q is positive.\nAnswer: q**(-1073\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 - 21*x**2 + 720*x + 15760. What is l(-22)?\nAnswer: 404","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 84, 242, 432, 660, 932?\nAnswer: 1254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/330 and 97\/589660.\nAnswer: 19458780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 3809?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -61 + 126. Suppose 10*h - 5*h + v = -3*m, h = 4*m - 36. Let o = -14 - h. Solve -o*r = r - 9 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 686118637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12096.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*u = -28*u + 637. Solve u*q - 10 = 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.6212497 and 1?\nAnswer: 0.6212497","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w - 628*w**2 - 45 + 598*w**2 - 2*w. Let o(t) = -t**2 - 1. Calculate 45*o(f) - y(f).\nAnswer: -15*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 640 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 415 is divided by 131.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9687 divided by 3?\nAnswer: 3229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 - 9*j + 5. Let p(l) = l**2 - 10*l + 6. Let f(m) = 7*d(m) - 6*p(m). Suppose i = 2*i + 4, 3*s + 5*i - 19 = 0. Let b = s - 10. Determine f(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/14007 or 1076?\nAnswer: 1076","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/36444 and -46\/27.\nAnswer: 327996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 137893?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.915 - -1.085. Which is greater: t or -334?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 771 and 140579?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -250.8.\nAnswer: -125.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m\/m**(-8))*m)*m)\/m*m**(-2\/51)\/m assuming m is positive.\nAnswer: m**(355\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l**3 + 6*l**2 + 147*l + 58. Calculate z(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 18*a + 7. Let z(d) = d + 1. Let l be z(-9). Let o(r) = -12*r - 5. Let b(t) = l*o(t) - 5*u(t). Does 17 divide b(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 (base 12) in base 9?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/(1\/2*-1). Is ((-5)\/(z\/(-36)))\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1246557 minus -3246973?\nAnswer: 2000416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 38978592413 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -388036 + 388283 = -19*u for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -11*s - 140. Give m(-13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.43, -0.7, 3 in ascending order.\nAnswer: -0.7, 0.43, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 64*b**3 - 5*b**2 + 4*b - 3. What is the remainder when 115 is divided by j(1)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3392, -3690, -4194, -4910, -5844, -7002, -8390?\nAnswer: -10014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 189 >= 189?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h**2\/2 - 4944219*h\/2 - 9888414 = 0. Calculate h.\nAnswer: -1648069, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 3:20 AM?\nAnswer: 10:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29661?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.002991 + -0.003. Round y to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 5 + 26 = 5*r, 4*r + 3*p - 17 = 0. Let t = r - -4. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2397106025?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -48899 rounded to the nearest 1000?\nAnswer: -49000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 2*c - 14 = 0, 3*w = 3*c + 12 - 3. What is the biggest value in -1, w, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3016, 3013, 3008, 3001, 2992, 2981?\n\"Answer: -b**2 + 3017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4248 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 6 = 5*u - 3, -u - 3*f + 17 = 0. Calculate the highest common factor of u and 2205.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 447734 and -202 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**4\/7 + 6508*j**3\/7 + 13000*j**2\/7.\nAnswer: 4*j**2*(j + 2)*(j + 1625)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53106?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 5:51 PM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 642.3 + -642. Let n(w) = -w. Let q be n(-1). Suppose 0 = -5*g + l + 12, -4*g - 3*l + 1 = -q. Which is the closest to 0? (a) 2\/19 (b) p (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -113 times 0.027?\nAnswer: -3.051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-488)\/183*1\/4\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 - 32. Let u = -51 - -86. Let x = w + u. Is x a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -65\/11 - -6. Put f, 0, 1 in increasing order.\nAnswer: 0, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10 + 3 - (0 + 0). Suppose -b = -o + 42. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 + 33 + 3*s**3 + 68 + 34 - 121*s**2 + 121*s**2.\nAnswer: 3*s**3 + 157","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111011001110 - 111?\nAnswer: -111011010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b - 15019 + 15040 = 0. Factor 3\/5*j**b + 0 + 0*j - 3\/5*j**4 + 0*j**2.\nAnswer: -3*j**3*(j - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, b: 1, y: 4, l: 6, r: 1}. What is prob of sequence ry?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13a71 - 105?\nAnswer: 13969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 4*q = -11400000. Suppose -29*u = -25*u + q. Round u to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2583*0.1065.\nAnswer: 0.02750895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 163353*y. Let c(b) = -2*b. Give c(k(l)).\nAnswer: -326706*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 19*j**2 + 10*j - 11. Is a(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16270, -130170, -439314, -1041322, -2033814, -3514410, -5580730?\nAnswer: -8330394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 714\/(-51)*(-20)\/(-8)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 12*n + 3939 = 0. List the prime factors of n.\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 385474 and 302?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (-1)\/((-8)\/(7701 + -5))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 10*l - 10. Suppose 4*v - 2*j + j - 18 = 0, l*j = -v + 9. What is the highest common divisor of v and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10122.\nAnswer: 2, 3, 7, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 195 by 13.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2 + 1 - 2*d - 2. Calculate l(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34*n**2 - 5*n**3 - 19*n**2 + 696*n**5 - 309*n - 15*n**2 + 4*n**3 wrt n?\nAnswer: 13920*n**3 - 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -490.9 at least as big as 96?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1020011 - -11?\nAnswer: -1020000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-377*w + 301*w - 364*w)*(0 - 3 + 2) as q + z*w and give z.\nAnswer: 440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhphhhhhhhh. What is prob of picking 1 p and 2 h?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.9 - 0.83. Let w = -0.23 - g. Sort 5, -2\/5, w in descending order.\nAnswer: 5, w, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -734 + 748. Solve -19*u = -s*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 773706718 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21) - (sqrt(1344) - sqrt(1344)*2))\/(sqrt(35)\/(sqrt(5)*1))*6)**2 + -5.\nAnswer: 8743","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 35 - -5424253?\nAnswer: 5424332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -70*f + 512. What are the prime factors of q(-34)?\nAnswer: 2, 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 2 - 0. What is the derivative of -2 - 2*t**2 + 0*t**2 - c + 4 wrt t?\nAnswer: -4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66b3 (base 12) in base 13?\nAnswer: 5235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 899 is divided by 149.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/4 (b) 0 (c) -5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2227 = -76*m + 281 for m.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, v: 1, g: 1, z: 10}. What is prob of picking 1 g and 1 z?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 21 = -3*n, -80*k = -82*k - 5*n + 20 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g + 21. Let w be l(0). Suppose r + 2*r = w. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2320 is divided by 1058?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 9, 4, -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50668 is divided by 8440?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2305*q + 2305*q - 266*q**2)*(-q + 3*q - 3*q).\nAnswer: 266*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11523 and 138?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 513 and 56461.\nAnswer: 28964493","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 583 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 4*a - 5*a + 14, 3*a - 2*k = 37. Suppose -c + a = 2*c + m, -4*c + 12 = 5*m. Suppose -9 = -c*d - 0*d. Solve 6 = r + 5*f, 2*f = 5*r - d*r + 12 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 456593 bigger than 456595?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -4*d + 1096. Let i = -130 + d. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*g**2 + 5*g**3 + 28*g + 16*g + 15 - 9*g.\nAnswer: 5*(g + 1)**2*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 8) to base 6.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s + 3. Let d be b(-4). Let i = 121 - 254. Let n = -111 - i. What is the highest common divisor of n and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/7, -7, -1\/10?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (((-6)\/40)\/((-3)\/(-144)))\/(9\/(-9420)).\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -141847237 divided by -499\nAnswer: 284263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11527 is divided by 2871.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (38\/(-152) - (-30)\/56)*21\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2342633\/5 less than 468528?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.6 + -2.7. Which is the nearest to l? (a) 0.2 (b) -9 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y**2 + 88*y - 918. What is a(15)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**2. Let a(x) = 84*x - 55*x + 61*x. Calculate a(f(b)).\nAnswer: 180*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) - (sqrt(104) + (sqrt(104) - (sqrt(104)*-1 + sqrt(104))*6)))\/((sqrt(280)\/sqrt(7))\/sqrt(5)))**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/22 and -49\/88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -484420 divided by -2285?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 + 6*q + 5. Let y be x(-5). Solve 3*z = 5*j + 11, j + z + 4 + 3 = y for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -3*u - 49, -2*u - 26 = 2*w - w. Let t = 15 + u. Suppose t*s = 2*m - 104, 0*s = -2*m - 2*s + 122. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -10. Let j be 3\/(-9)*(-12)\/(-2). Sort x, j, 4 in ascending order.\nAnswer: x, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + 3 + 15 + (-18 - 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.86 + -3.2. Let b = x + 1.34. Suppose 0 = 3*m - 0*m - 12. What is the biggest value in 1\/3, m, b?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006275 rounded to four decimal places?\nAnswer: -0.0063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-4)*12\/(-1350)*10.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19.64 - -19.94. Let a be (-9)\/(-2) - 6\/12. What is the closest to 0 in b, a, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3568 + 11*w + 3568 + 77*w**2 in the form f + j*w**2 + g*w and give g.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*s = 3*f - 23*s + 2, 0 = -2*f - 71*s + 71 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*a + 4 - a**2 + 4*a**2 + 0*a - 7*a**2 + 6*a**3.\nAnswer: 2*(a - 1)*(a + 1)*(3*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of 155*i**4\/8 + 67*i**3\/6 + 309*i**2 + i. Find the first derivative of z(a) wrt a.\nAnswer: 465","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 5 = -5*x. Put 0.2, -3\/5, -0.1, x in descending order.\nAnswer: 0.2, -0.1, -3\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/3)\/((-26)\/117)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -6551*j**2 + 392*j + 1114*j**2 - 783*j + 391*j as g + u*j + c*j**2 and give c.\nAnswer: -5437","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 73482 by -121.\nAnswer: -73482\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 6*w**2. Let k(j) = 86*j + 3. What is k(n(h))?\nAnswer: 516*h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - 0. Let y = q + 5.92. Let z = -5.216 - -5.516. Is y smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -5*y - 6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -250953298.5 - 1?\nAnswer: -250953299.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, z: 1, p: 3, t: 1, d: 2}. Give prob of sequence sszt.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 3:04 PM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.12, 2\/7 in descending order.\nAnswer: 2\/7, -0.12, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -22*m. Let d(s) = 82523*s**2. Give d(j(f)).\nAnswer: 39941132*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -726464*z. Let k(h) = -473*h. What is k(s(m))?\nAnswer: 343617472*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 271 by -6.\nAnswer: -271\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-17 - -9 - -9) - -18.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 28*o**2 - 230*o - 2088. Determine x(36).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 1:52 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5880 = 440*a + 304*a + 236*a. Factor -9\/4*y**2 - 3\/4*y**3 + a + 9\/2*y.\nAnswer: -3*(y - 2)*(y + 1)*(y + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -5331658*d. Let n(c) = -8*c**2. What is n(p(b))?\nAnswer: -227412616231712*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2*(-1*sqrt(1100)*-4 + 0 + sqrt(1100) + -1 - ((sqrt(1100) - (2 + 1 + sqrt(1100)) - sqrt(1100)) + 1))**2*6.\nAnswer: -475212 - 1440*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 878*h**2 - 1 - 877*h**2 + 5 - 8*h. Determine t(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*a = 204 + 50 + 196 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kglt when four letters picked without replacement from gccktkkkklktkktz?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1251, 5031, 11331, 20151, 31491?\nAnswer: 45351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 5*u**2 + 10 - 3*u**2 + 5*u - 15*u. Suppose 4*j - 23 = 5. Is g(j) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 694449.4km in micrometers?\nAnswer: 694449400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of -9*o**7\/70 + 2*o**5\/15 - 7*o**3\/6 - 65*o**2. What is the third derivative of h(j) wrt j?\nAnswer: -648*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + u = -3*u - 88, 0 = -5*u + 15. Let k = 1 - 1. Suppose k*y + 35 = 5*y. What is the remainder when o is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3*o - 4)*(12*o**3 - 8*o + 8*o)*(4 - 4 - 3*o - 1 - 2*o + 1 + (-2 - 2 + 2)*(-3*o + 4*o + o)).\nAnswer: 324*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -4, -3\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2072.61 and 1100.974.\nAnswer: 3173.584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-4*5*(5 + (sqrt(1053) + -1)**2)*2*-3.\nAnswer: -508320 + 8640*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45 and 210.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 + 9*w + 1. Let z be (4 - 10 - -8)*-4. Give q(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*i**3 - 5*i - 12 + 6*i - 10 - 16*i**3 as z + x*i + l*i**2 + j*i**3 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8021639?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2054139223 rounded to five decimal places?\nAnswer: -0.20541","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 4 + 8. Suppose -10 - 71 = -27*v. Determine s so that -4*s**3 + 8 + s**a + 6*s + 0*s**4 - 2*s + v*s**4 - 12*s**2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, o: 2, n: 1}. What is prob of picking 2 o and 2 g?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 803729243 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (49*l + l**2 - 50*l - 2 + 3)*(-2*l + 2*l - l).\nAnswer: -l**3 + l**2 - l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -124 + 123. What is the fourth smallest value in x, -2, 3, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 133?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 14 = -2*m, 0 = n + m + m + 6. Let c be n\/2*(-125)\/(-1). Let o = c - 88. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/35, 3\/38, -0.2, -0.0044?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 8468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*l = 148*l - 24 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 7*i**2 + 14*i + 23. Let n be ((-28)\/12 + 5)\/(2\/9). Suppose -36 = -6*m + n*m. What are the prime factors of x(m)?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -282.22 + 278. Let y = -12.216 - h. Let n = y + 8. Round n to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3764120 and 2224?\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 84118 - 648?\nAnswer: 83470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (234\/(-130))\/(24\/280).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111042403 (base 5) in base 7?\nAnswer: 26512506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 6:44 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f**3\/2 - 5*f**2 + 155*f\/2 - 70 = 0 for f.\nAnswer: -7, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, 16, -3, 4 in increasing order.\nAnswer: -3, 1, 3, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**16*w\/((w*w**(11\/6))\/w*w))**(-19) assuming w is positive.\nAnswer: w**(-1615\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -37065 + 54567. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142361 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 2\/9, 4, 0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 10, 4*g - 460 = -38*j + 33*j. What is the closest to 0 in j, -4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172 = 10*k + 62. What is the remainder when 18 is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -3. Let j = 1.21 - 0.21. Are g and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a meter in millimeters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2)*h**(-2\/5))\/(h**(-1)*h*h**0) assuming h is positive.\nAnswer: h**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3609*g**2 - 629*g**2 - 4746*g**2.\nAnswer: -8984*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + 0. Let w be (-3 + c)\/((-2)\/(-6)). Let x(t) = -7*t + t - t - 2 + 6*t. Give x(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.065 + -0.065. Sort j, -5, -3\/7, 0.06.\nAnswer: -5, -3\/7, 0.06, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of -a**3\/3 + 282. Let i(w) = -4*w - 31. Calculate i(c(d)).\nAnswer: 4*d**2 - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5878243583 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (52\/20 - 5)*70\/(-3). Suppose -4*x = 4, -2*w + 10 = -3*x - 21. What is the greatest common divisor of k and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-11) + (-224)\/(-22))\/2. Suppose 2006 = f*g + 2*q, 3*g - 553 - 635 = 4*q. Suppose b - 1590 = -4*s - b, -b + g = s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*w - 107 = 142 - 73 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6d + 4c05aa?\nAnswer: 4c053c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -78, -358, -1058, -2388, -4558, -7778, -12258, -18208?\n\"Answer: -35*y**3 - 35*y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 50468 and 586080.\nAnswer: 18168480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -270 = -8*z + 35*z. Let x(p) = -18*p + 5. Let d(t) = -7*t + 2. Let g(m) = z*d(m) + 4*x(m). Let a(v) = -5*v + 7. Calculate g(a(k)).\nAnswer: 10*k - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of 3\/20*j**5 + 0*j**2 + 0 + 0*j**4 + 3*j + 5\/3*j**3. Find the second derivative of o(q) wrt q.\nAnswer: 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*m**3 - m**3 + m**3 + (-2*m**2 - 4 + 4)*(-4*m + 2*m + m) - 4*m**3 + 2*m**3 + 0*m**3.\nAnswer: -6*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = n, -3*l + 4*n - 1 - 1 = 6*n - 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (37*w - 5*w + 7*w)*(3 - 2 + 0) + (-w + 0 + 0 + (0 - 3 + 0)*(w - 3*w - 2*w))*(4 - 1 - 1) as g*w + l and give g.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 630.5498 centimeters?\nAnswer: 0.006305498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**3)**(-2\/9)*m**(-1\/8)\/m**(2\/9) assuming m is positive.\nAnswer: m**(-35\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10*(-2 - (-6 - (-35)\/10)) and 3*(14\/3)\/2?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -189, -3, -1 in increasing order.\nAnswer: -189, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 622472655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9975 = 6*m - 22233. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*q - 6*q - 170 = 25 for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/(102 + (-5544)\/84). Let j = -2548\/15 - -170. What is the second smallest value in r, j, 4, -1.6?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3967974590 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fhahf. Give prob of sequence aff.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 189525690?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -157\/8 + 917\/40. Let u = q + -19\/5. Which is the nearest to u? (a) -3 (b) -5\/3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -520084 in descending order.\nAnswer: 3, 1, -520084","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 54282 times 3.4?\nAnswer: 184558.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (q**3 + 0*q**3 - 7*q**3)*(-1 + 0 + 0)*(0*q - q + 0*q) in the form z*q + m*q**3 + y*q**2 + f*q**4 + u and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 946 a factor of 26327180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 843.520516 from -0.9.\nAnswer: -844.420516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*2*sqrt(1125)*-5)\/((sqrt(1296) + (-2*(sqrt(1296) + 4*sqrt(1296)) - sqrt(1296)) - sqrt(1296) - sqrt(1296))*-6).\nAnswer: -25*sqrt(5)\/432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1575\/84)\/((-1)\/(-4)). Let s = m + -62. Suppose 0 = -s*b + 18*b - 1350. What is the greatest common factor of 10 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/2 - -2 - -2. Let v = -1 + k. Suppose 49*f - 51*f - 28 = 2*j, -3*j = -4*f - 56. Solve j = -3*m - v + 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2142 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1545*f + 861*f + 1442*f.\nAnswer: 3848*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 AM and 11:21 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 26821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*t + 1199 = 34*t - 1623 for t.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 5*n - 67, -2*n = 2*w - 4 - 22. Suppose 0 = -5*y + 60 + n. What are the prime factors of y?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 412336 - 412336 - 2637*n + (1 - 2 + 0)*(-2*n + 2*n + n) in the form o + z*n and give z.\nAnswer: -2638","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + 5 + -4 - -2) + 9 + -20.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/7500 and -119\/161250.\nAnswer: 322500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -4 - 3 + 2 + k. Let j be 12 + (-8)\/12*30\/(-4). What is the smallest common multiple of 18 and y(j)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24*b*m**2*p + 11*b*m**2 - 2*b*m - 2*b - 6*m**2*p + 54*m**2 - 772*m - 271103*p + 1 with respect to p.\nAnswer: -24*b*m**2 - 6*m**2 - 271103","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 94230 to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/5 (b) -2 (c) -122 (d) 718 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q**3 - 120*q**2 + 143*q - 318. Calculate u(-61).\nAnswer: -1599","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 167 divide 38839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*m + 2860 = -2471 - 6600. What is the greatest common factor of m and 25953?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(2 + 1 + sqrt(17)))**2.\nAnswer: 216*sqrt(17) + 936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 674654207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 945*n - 1118*n = -4671 for n.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42 and 56.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1031?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (70\/4)\/((-123895)\/892044).\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -35.61 * -0.0522.\nAnswer: 1.858842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 2*c**3\/5 - 18440*c**2 + 1061128264*c\/5 + 34050582784\/5 = 0.\nAnswer: -32, 23066","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4351a (base 16) to base 11\nAnswer: 179191","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000011004 to six decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q**3 + 17860*q**2 - 17848*q - 35712 = 0. Calculate q.\nAnswer: -1, 2, 4464","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z**2 + 2*z + 34. Let a be p(0). Suppose 32*o + 38 = a*o. Is o a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*a**3 - 70*a**2 + 1555*a - 5400 = 0. What is a?\nAnswer: -27, 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -30*g - 4. Let n(d) = 15*d + 2. Calculate 3*j(w) + 5*n(w).\nAnswer: -15*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -348*b + 236*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-92)\/85 - -30*74\/1850) + 474\/(-272).\nAnswer: -13\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.05, 1\/9, -1 in ascending order.\nAnswer: -1, -0.05, 1\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*h = 52*h - 4*o - 8, 4*h + 4*o - 52 = 0 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 4*p - 13 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of (-55)\/(2*(-3)\/18*3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61073 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -57049 + 1.57\nAnswer: -57047.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**2\/6 + 176241*s\/2 - 264361\/3 = 0.\nAnswer: 1, 528722","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/9)\/((-2)\/24). Suppose 2*u - 30 = -5*h, 0 = 4*u - 2*h - 16 + 4. Suppose j = -2*j + 4*w - 5, u*j - 3 = w. Put l, -2, j in descending order.\nAnswer: l, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4794\/6392*(-3)\/(-9)*-16?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/(-3) - 3)*(1 - -2). Let s(m) = -22*m + 4. Let j be s(h). Suppose 4*a + j = 4*y - 38, 5*a = -2*y + 46. Is y a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -803*w**2 + 803*w**2 - 6*w**3.\nAnswer: -6*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*s + 21955 = 19035 for s.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -5464*j + 3125415. Calculate g(572).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 94 - 280. Let a = p + 84. Find the third derivative of a*s**4 - 146*s**4 + 5*s**6 + 2*s**2 wrt s.\nAnswer: 600*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = l - b, b = -4*l - 21 - 23. Let v = l + 11. Let a(m) = -2*m + 21. List the prime factors of a(v).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + 4*r**2 - 3*r + 3. Let k be c(3). Suppose -2*b - 16 = -5*n + 2*n, 5*n - 14 = -k*b. Solve -5*z = 2*i - i - 25, -n*i + 2*z = 10 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1763\/3 - 588. What is the closest to z in -1\/30, -5, 1, 3?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2301\/(-741) - (-4 - 296\/(-76))) + (-24 - 5)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85847 - 70153 = 6*a. Round a to the nearest one thousand.\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2880 and 16224?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*h = -2*i + 12*h, 4*i - 5*h = -13 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 56 = 3*s. Let g = s - 26. Solve -6 = g*r - 5*r, 2*q = -4*r + 16 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2589?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1.6, -11, 6, 1\/4, 2\/13?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34569 + 36247 = 4*g - 4*u, -88538 = -5*g - 4*u. Calculate the greatest common factor of 13 and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 4*t**2 - 4*t + 1. Let r be v(5). Let a be (r\/4)\/(3\/4). Solve 4*w - 21*w**3 + a*w**2 + 0*w**4 - 2*w**4 - 3*w**3 + 20*w**5 = 0.\nAnswer: -1, -2\/5, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 8*c**3 - 9*c**2 - 9*c + 5. Let y(v) = 2*v**3 - 2*v**2 - 2*v + 1. Let r(d) = -d**2 - 8*d - 9. Let i be r(0). Give i*y(j) + 2*t(j).\nAnswer: -2*j**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1079 and 84768149?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 1) + -7 + (4 - 3)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-11)\/((-33)\/(-6)))\/((-10)\/15). Let x = 1.9 - 2. Suppose 28 = -3*c + 10. What is the nearest to x in c, 0.5, a?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 521150.\nAnswer: 2, 5, 7, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10453*j**2 - 6082*j**2 + 16530*j**2.\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 4*k**2 - 2*k + 2. Suppose y + 2*z - 45 = -2*y, -y + 3*z = -15. Suppose -4*d = q - y, 0*q = -4*q + 4*d. What is the units digit of c(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 361778099?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from auauaaaaaauauuaa. What is prob of sequence auaa?\nAnswer: 165\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -943573, -943563, -943539, -943495, -943425, -943323, -943183, -942999?\nAnswer: -942765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 598842 a multiple of 618?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1484494 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2211*q**2 + 338187*q - 14688.\nAnswer: 3*(q + 153)*(737*q - 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 60 (b) -5 (c) 0.4 (d) -0.3 (e) 8\/19 (f) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*g**3 - 6 + 48669*g**2 - 30*g**4 - 1 - 191*g**4 - 48560*g**2 + 0 wrt g.\nAnswer: -5304*g - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11.5 + -3.5. What is the closest to 2\/3 in -0.17, a, -0.4?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of -4*r**7\/105 + 73*r**6\/25 + 279*r**5\/50 + 28*r**4\/15 + 637*r + 3. Determine b so that l(b) = 0.\nAnswer: -1, -1\/4, 0, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98 (base 11) to base 12.\nAnswer: 8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2756148?\nAnswer: 2, 3, 31, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23997143?\nAnswer: 379, 63317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 3*t - 6 = 0, -2*q = -3*q + 3*t + 6. Suppose 0 = g, q = -r + g + g - 24. Are -23 and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/468*-3*8\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((30\/9)\/5)\/((-64)\/(-288)). Solve 7 = -5*n - 4*z, s*n + 1 - 19 = 5*z for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11231 (base 4) in base 5?\nAnswer: -2430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -112*p + 119*p + 42 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 at least as big as 482?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 12923641.\nAnswer: -4\/12923641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -1015*z - 6128. Calculate u(-6).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of a**9\/3024 - a**8\/224 + a**7\/42 - a**6\/18 - 4*a**4\/3 - 11*a. Let u(y) be the third derivative of h(y). Factor u(n).\nAnswer: 5*n*(n - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k - 4*w + 203 = -111, k = -330*w + 326*w - 43 for k.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1148 - 405 - f**2 - 605 + 2*f**2.\nAnswer: f**2 - 2158","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, 5, 2656 in decreasing order.\nAnswer: 2656, 5, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5*j**3 - 13*j**3 - 14*j**3)*(-2 - 1 - 1) - 4*j**3 + 4*j**3 - 2*j**3)*(j - j - 2*j).\nAnswer: -172*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x - 51*x**2 + 4*x.\nAnswer: -51*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h**4 + 84*h**3 + 612*h**2 + 972*h = 0. Calculate h.\nAnswer: -3, 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 3*r**3\/5 - 222*r**2\/5 + 2451*r\/5 + 66564\/5 = 0.\nAnswer: -12, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 9:15 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of -29*a**8\/336 + 13*a**5\/60 + 59*a**4\/8 + 5*a**3\/3 - 2574*a**2. Find the second derivative of n(d) wrt d.\nAnswer: -580*d**3 + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of -m**4\/12 - 7*m**3\/6 + 3*m**2\/2 + 7*m. Let z be k(-7). Factor -n**2 + 3*n**2 - 12*n**3 + 9*n**z + n**5.\nAnswer: n**2*(n - 1)**2*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 51 (b) 1 (c) 1\/7 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3332 divided by 2.\nAnswer: -1666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of 6*f**5 + 0*f**4 - 17*f + 0*f**2 + 61 + 4\/3*f**3. What is the third derivative of v(w) wrt w?\nAnswer: 720*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-3)*-3 + 5. Suppose 5*u - 120 = -2*l, -2*l = -m*u + 2*u + 120. Let w(b) = -13*b - 9*b + u*b. Let x(d) = 8*d**2. Determine w(x(p)).\nAnswer: 16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62394509?\nAnswer: 739, 84431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u. Let b(x) = -161*x + 28. Let r(f) = -b(f) - h(f). Find the first derivative of r(d) wrt d.\nAnswer: 159","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.475496 minutes to microseconds.\nAnswer: 208529760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5793.146 * 2\nAnswer: 11586.292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 1 (b) 78 (c) -69\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 15*o**2 - o - 15. What is v(-15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*u - 2*u**4 + u**2 + 7*u**4 + u**2 to m*u**3 + n + t*u + g*u**2 + j*u**4 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-2*(sqrt(65) - (sqrt(65) - sqrt(65)*-2)))\/(sqrt(80) + -1*sqrt(80) + sqrt(80)).\nAnswer: sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 33. Let h be 3*(2 - (-2)\/(-2)). Suppose 0*p = h*p - 12. What is the greatest common divisor of a and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 7, f: 7}. Give prob of picking 3 q.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 3:25 AM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45129177?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 + 3)\/(-3 + 2). Let p = 2 - a. Calculate the remainder when 20 is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1469, -1468, -1467, -1466?\n\"Answer: s - 1470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -143428, -286858, -430288, -573718?\n\"Answer: -143430*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2. Let c be (-8)\/12 + 106\/6. Let t(v) = v**3 + 2*v**2 - 3*v + 2. Let l be t(-3). Let d(b) = -c + 17 + l*b. Determine y(d(r)).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3992 (base 12) to base 14\nAnswer: -258a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1911, 3821, 5731, 7641, 9551, 11461?\nAnswer: 13371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.082 + 1.\nAnswer: 2.082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13682135 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - (2\/2 + 3). Let h(s) = -s**3 + s**2 - 4. Let a be h(0). Let u = -27\/10 + 3\/2. What is the nearest to -1 in a, x, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60, -489, -1628, -3831, -7452, -12845, -20364?\nAnswer: -30363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -3*n + 3*n - 6*n + 10*n - n**2 = 0?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 5*n - 28 + 6*n + 27 - 5*n. Let j be h(1). Is 7 a factor of -1 + j - (-13 - -10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*g = -92*g - 237. Let d = 79 - g. Solve c = -k - 3 + 7, -3*c + 2*k - 3 = d for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-4*sqrt(891)*-3 + -2))**2.\nAnswer: -3888*sqrt(11) + 1154772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t + 3267 = 3*u + 9*t, 5*t - 2185 = -2*u. Suppose a + 320 - u = 0. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 65, 3, 2, -5 in ascending order.\nAnswer: -5, 2, 3, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1464 = 85*q - 268*q. Solve q*o - 95 = -103 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 300 divide 1160097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*g + 37*g + 3*u = 60, -5*u = -3*g + 16. Solve 0 = -25*q + g*q - 91 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 + -17. Solve -4*c + 2*c = -f for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-108108)\/728)\/((-11)\/8)?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 97272 and 90?\nAnswer: 486360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/518 and -85\/12?\nAnswer: 3108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 45*l - 1. Let t be u(1). Suppose -t = -2*z + f, -f - f + 8 = 0. What is the greatest common divisor of z and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 11074.\nAnswer: -5\/11074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 359681569 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3644 (b) 1\/9 (c) 0.06 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 861280 and 586747?\nAnswer: 5383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -65 (b) -0.5 (c) -2\/51 (d) 0.1 (e) -4 (f) -4.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198133557?\nAnswer: 3, 37, 53, 33679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 305.93 + -308. Let w = l + -0.13. Let n = w - -0.2. Sort 2, n, -3.\nAnswer: -3, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u = -1691 + 1709. Let y = 574 - 1048. Is y\/(-4)*((-12)\/9 - u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 4, 686?\nAnswer: 686","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.9291 * 4533\nAnswer: -4211.6103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1158 = 4*z + 2*a, -5*z + 1713 = a + 270. Calculate the greatest common divisor of 416 and z.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/(-45))\/((-24)\/28*(-14)\/(-10))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7407, -7399, -7385, -7365?\nAnswer: -7339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jyyvyyyyjjyjjjjjyv. Give prob of sequence yv.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 398916 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 364*o**2 + 466*o + 467. Let b be y(-1). What is the highest common factor of 949 and b?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1439, 2874, 4307, 5738, 7167?\nAnswer: 8594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 323979467623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of 2*w + 0 + 1\/12*w**4 + 0*w**3 + 0*w**2. Let y(c) = 6*c. What is y(z(l))?\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -4*b - 3*x + 84, 0 = -x. Let t be (b\/(-7))\/(1\/(-6)). Calculate the highest common divisor of 126 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((48\/196)\/6)\/(12\/(-28))\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 432297, 432393, 432553, 432777, 433065?\nAnswer: 433417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27962935.\nAnswer: 5, 7, 11, 13, 37, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 - -22.4. Let h = 4 - j. Which is the second biggest value? (a) h (b) -7 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3874.064 + -3846. Let y = v - 0.064. Let j = -27.894 + y. Round j to 2 decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -155379, -155493, -155605, -155715, -155823, -155929, -156033?\n\"Answer: w**2 - 117*w - 155263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1141840 divided by 4\nAnswer: -285460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 326?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2945383 is divided by 981767.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h**5\/7 + 111*h**4\/7 + 747*h**3\/7 + 1465*h**2\/7 + 264*h\/7 = 0. What is h?\nAnswer: -11, -8, -3, -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78258?\nAnswer: 2, 3, 13043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 20 - 48. Let j(o) = -3*o + 8 - o**2 - l*o + 0*o + 0*o. List the prime factors of j(-9).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1280?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -5\/3 (b) -352 (c) -0.4 (d) -30 (e) 4 (f) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 2*o + 3*h, 0 = 20*o - 25*o - 2*h - 27 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in 2, 4, 3\/7, 56?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001403227 to 6 decimal places.\nAnswer: 0.001403","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -c**3\/9 + c**2\/2 - 2*c\/3 - 11. Factor m(r).\nAnswer: -(r - 2)*(r - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l**3 - 9*l**2 + 47*l - 29. Calculate the remainder when g(7) is divided by 29.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 2\/4601?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 139 + -134. Suppose 668 = s*c - 117. Does 6 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000082971457 to 7 decimal places.\nAnswer: 0.0000083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - 7*w**2 - 8*w + 1. Let d = 22 + 2. Let a be d\/(-20)*(-15)\/(-3). What is n(a)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -14*d + 262. What is the remainder when h(15) is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2 + -5*(2*sqrt(252)*4 - 6*(sqrt(252) - sqrt(252)*-1))).\nAnswer: 12 + 720*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - v + 27 = 0. Suppose -1 = 4*s - v. Let k = 6 + s. Solve -15 = -k*m + 3*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -31214 - 180*x + 31214 in the form z*x + c and give z.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - (-4 - 7) - -7. Let z be ((-368)\/20)\/(c\/(-760)). Calculate the highest common divisor of 23 and z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 64, -69, 3 in decreasing order.\nAnswer: 64, 3, -3, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 106254 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 826 + -826. Solve -f - 3 = -x for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125 = -17*c + 516. Suppose -o = -c - 2. What is the remainder when 42 is divided by o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -118503*v. Let r(p) = -2*p**2. Determine m(r(s)).\nAnswer: 237006*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 5*x**2 - 6*x - 60. Let f be c(8). Suppose 9*u = f + 94. What is the remainder when u is divided by -1 + 1 + (11 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 278, 436, 606, 794, 1006?\n\"Answer: s**3 + 151*s + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-4\/3))**(-5\/13)*(x\/(x\/(x**(2\/19)*x*x)))**(1\/13) assuming x is positive.\nAnswer: x**(500\/741)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 11 = 3*q. Suppose -q*c = -17*c + 180. Solve -c = 2*n - 4*k, 4*k - 25 = -n - 5 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n - n - 3*n + (9 + 0 - 3)*(80*n + 4099 - 4099) to q + x*n and give x.\nAnswer: 478","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of 3\/20*f**5 - 5\/3*f**3 + 11\/120*f**6 + 1\/210*f**7 - 3 + 0*f - 2*f**2 - 11\/24*f**4. Factor q(t).\nAnswer: (t - 1)*(t + 1)**2*(t + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 10*a. Let m(i) be the second derivative of -i**3 - 8*i + 8. Calculate w(m(k)).\nAnswer: -60*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do -9282.3 and 0.04 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -4. Let t(x) = -x**2 - 8 + 34 - 4. Let h(b) = -2*t(b) - 11*v(b). Let l(n) = -2*n**2 - 7. Calculate l(h(f)).\nAnswer: -8*f**4 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 319 = 5*z - k, -67 = z - 4*k. Let r = z + 142. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3400 is divided by 918.\nAnswer: 646","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 79 = 2*o, 4*x + 3*o + 229 - 102 - 118 = 86 for x.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*k**2 - 36*k**2 + 484 + k**3 - 318 - 166.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43 (base 11) to base 13.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 (base 5) in base 10?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 874 divided by -164\nAnswer: -437\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g = -l - 23, -5*l - 1515 + 1528 = 3*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -110*p**2 + 3081*p - 127. Calculate d(28).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -50 > 0.01?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of -q**5\/20 - 23*q**4\/12 - q**3\/3 - 22*q**2 - 4*q. Let k be r(-23). Solve -6 + k = -t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2c6a - 748?\nAnswer: -36b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 + 540\/50)*1\/(-4).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5 + 92\/(-16))*-4. Suppose -2*z + 568 = m - 114, 4*z = g*m - 2036. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -7228*y**3 - 22*y**2 - 69*y + 16. Is p(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -9295, -9294, -9293, -9292?\n\"Answer: w - 9296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 + 3*k + 67 - 31.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -11*(-4 - (1 - 4)). Let k = q + -5. What is the greatest common factor of 18 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15910 and 5180?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((-5*(-4 + sqrt(171)) + -4 + 1*sqrt(475))*-3)**2)*-6.\nAnswer: -116400 + 17280*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1939285 is divided by 969623?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 785*o - 1349 = 856*o for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 1 + 0 = 4*b, 0 = -5*b + 4*w. Suppose b*k = -k - 5. Let x be (0 - k)\/((-2)\/4). What is the third smallest value in -3, -1, x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -938, -947, -952, -953, -950, -943, -932?\n\"Answer: 2*o**2 - 15*o - 925","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 6415*d**2 + 18*d - 6. Let z(u) = 3*u - 1. Determine h(q) - 6*z(q).\nAnswer: 6415*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n**2 - 9418*n. Let p(j) = -j. Give p(u(k)).\nAnswer: -2*k**2 + 9418*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 212626.\nAnswer: -212629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38218848 is divided by 1186.\nAnswer: 1184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 16*1 + 1155\/(-95 + 40)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fqla when four letters picked without replacement from {a: 4, q: 1, l: 3, o: 3, h: 2, f: 4}?\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 - 2. Let y(j) = -32*j + 10 - 29*j - 32*j - 27*j + 116*j. Let a be 2 + ((-2)\/(-1))\/2. Let q be y(a). What is f(q)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/(-9))\/(0 + -1). Let a be (3 + 6\/(-2))*-1. Suppose -5*u - 3*o - 3 = a, -3*u - 2 = o + o. Which is smaller: p or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 3*r + 1395 = 0. What is the units digit of (-2)\/(-8) - r\/(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 10*u - u)*(7 + 31 - 21).\nAnswer: 153*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(16)\/(sqrt(32)*-5))**2 + -5)*-3 + -4*(1*sqrt(64)\/sqrt(2) - -1*sqrt(128)).\nAnswer: -48*sqrt(2) + 747\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-88)\/33 + (-140)\/(-12) + 0. What is the closest to 1 in -1\/6, s, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 422847 - 422845. Let 2\/7*g**4 + 80\/7*g - 8\/7*g**3 - 26\/7*g**o + 96\/7 = 0. Calculate g.\nAnswer: -3, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - 3673242\nAnswer: -3673242.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*j + 24 + 30. What is the lowest common multiple of 3 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 488*d**3 + 2*d**2 + 4*d*y - 30947*y wrt d?\nAnswer: 1464*d**2 + 4*d + 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 357976 or 357975?\nAnswer: 357976","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141941.\nAnswer: 141941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 80930354?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: (22\/(-33)*9\/2*5)\/(-3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -4974*x - 136. Is 10 a factor of k(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -5. Let f = 1 - g. Factor 5*u**3 - 4*u**4 + 0*u**3 + 2*u**5 - f*u**3.\nAnswer: 2*u**3*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2)*h*h**4)**(-47)*((h**0)**40)**(16\/3) assuming h is positive.\nAnswer: h**(-141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4, -2\/67, 240\/11?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 - -15. Let x be (2\/u + 0)*(-7 - -3). Solve x = z - m - 2, 4*m = -3*z + 12 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 AM and 7:28 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1053\/2 - 545. What is the common denominator of z and 9\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 - 6*g + 1. Let h be u(6). Suppose 4*i - 24 = 3*x, -3*i + 2*i - h = x. Suppose 3*n + 3 + 7 = 5*o, 5*o + i*n = 40. Solve 0*k + o*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4485 + 30854. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 5*g - 2 - 9, r = 4*g - 11. Suppose 4*f = -g*v + 44, -48 - 16 = -4*v - 4*f. Let p(y) = 6*y**2. Calculate the least common multiple of v and p(-1).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(693)*1 - sqrt(693))\/sqrt(11))\/((sqrt(9) - sqrt(36))*6) - 3*(sqrt(7) + (-2*sqrt(84))\/sqrt(12))*-6)**2.\nAnswer: 2268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19110\/5819 + 6\/529. Calculate the common denominator of c and ((-240)\/(-63))\/((-6)\/7).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 889.93 + -890. Which is the fourth smallest value? (a) -2 (b) -2\/5 (c) r (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*p*z**2 - 2*p*z + y*z**2 - 38*y*z - 37*z**2 + 10*z wrt z.\nAnswer: 20*p + 2*y - 74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + d - 9 = 0, -3*n - 5*d = -1421 + 1378 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 820426249 a multiple of 171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(1539))**2 + 2 - -4*(sqrt(475) + 0 + sqrt(475))**2.\nAnswer: 9146","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3244 (base 5) in base 7?\nAnswer: 1211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.2 (b) 3 (c) 1138 (d) -0.08 (e) -0.5 (f) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n**3 - 3*n**2 + 3*n - 5. Let s be m(2). Suppose -s*p - 140 = -10*p. Suppose u + 3*c = p, 3*c - 84 = -u - 2*u. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -48 - -124. Let d = l - 87. Let o(c) = c**3 + 12*c**2 + 9*c - 7. Calculate the remainder when 27 is divided by o(d).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1221412 + -11?\nAnswer: 1221401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18119 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 greater than or equal to -544\/215?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -130 - -134. What is the lowest common multiple of v and 27?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1774994?\nAnswer: 2, 13, 233, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 170072 + -480072. Round q 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 cube root of 3739 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 5*i = -7*i + 8, 0 = h + 4*i + 5 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -392 - -14661. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 2) to base 12\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-202)\/1212)\/(1\/14))\/((-6)\/(-36)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 311*x - 123*x = 1148868. Is x a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 55242 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -11*b - 4. Let z be n(-1). Let d(a) = 2*a**3 - 8*a**2 - a + 8. Is d(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 624*v - 248. Is m(2) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/15*(-10)\/(-2). Let v be u\/(45\/12)*5*-3. Suppose o = 5*m - m + v, 0 = -2*o + 2*m + 54. Solve -2*f + 5*f = 5*p - o, 2*f + 3*p - 4 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and 1366079117.3.\nAnswer: 1366079117.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 4*g - 2*g)*(2 - 2*g - 2) - 3*g**2 - 2*g**2 + 7*g**2 + 2 - 2*g**2 - 2 + 3*g + g**2 - 3*g + 1 + 25*g**2 - g + g.\nAnswer: 22*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-78)\/12 - -8)\/(18\/(-4)). Let s = 0.05 + -0.35. What is the smallest value in s, f, 1\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1096 and -0.051?\nAnswer: 55.896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 0.1.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2116 and 92?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 327 - 393. What is the smallest value in -5, q, -1, -0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8147010408 divided by -6?\nAnswer: -1357835068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1848, -7800, -17768, -31746, -49728, -71708, -97680?\nAnswer: -127638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*g - 169*g = 1932 for g.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1178 - 1062. What is the remainder when 235 is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 621*h - 462. What are the prime factors of j(21)?\nAnswer: 3, 7, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 9344466.495968\nAnswer: 9344462.495968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*c**2 + 0 + 0.\nAnswer: -51*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of -l**5\/10 + l**4\/6 + l**3\/6 + 289*l. Let z = 11 + -12. Calculate r(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 10. Suppose 5*r - 25 = 2*w, 0*r - r + u = -5*w. Suppose w = -x - 2*x + 42. Calculate the highest common divisor of 14 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) -1\/6 (c) -2 (d) -3\/4 (e) 116 (f) 0.44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4617538?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 4*b - 60, -5*d = -d - 2*b - 72. Let q = -14 + d. Which is smaller: q or 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -558, 0.4, 0.3, 36 in decreasing order.\nAnswer: 36, 0.4, 0.3, -558","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - 9*y**2 - y - 6. Let h(o) = -o**3 + 10*o**2 + 7. Let p(x) = -4*h(x) - 5*n(x). Suppose 0*t = 4*t. Suppose 3*i - 18 = -t. Give p(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -7*r. Let v(p) be the second derivative of p**4\/12 - p**3\/6 + 3*p. Let x(i) = 7*v(i) - z(i). Let n(b) = -b**2. Determine n(x(j)).\nAnswer: -49*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-280)\/(-7))\/(3 - 1). Suppose n*z + 160 = 24*z. What is the greatest common factor of z and 440?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.4 + -8.6. Let t = z + 12.66. Let s = t - -0.112. Round s to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus 70.76?\nAnswer: -70.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*f**3*l**2 + 113*f**3*l + 72815*f**2*l**2 + 1105*f**2*l + 2*f*l**2 wrt l?\nAnswer: 6*f**3 + 145630*f**2 + 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83387 is divided by 627.\nAnswer: 623","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4261837 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of -1\/24*v**4 - 2*v + 0*v**3 + 0*v**2 - 1\/40*v**5 + 0. Solve m(a) = 0 for a.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29 + 30.3. Let u = i - 2. Let d = 0.3 - u. Which is the biggest value? (a) d (b) 2 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 + -18. Let k be ((-6)\/t)\/(3\/(-8)). Find m, given that -89*m**2 + 85*m**2 - m**4 - 4*m + 12*m**3 - 8*m**5 + 5*m**k = 0.\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00048464 to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 882\/168 - (2*-1)\/(4\/6*-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20325?\nAnswer: 3, 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 166615 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 n be 2 - 19\/1*-1. Let c(k) = -3*k. Let z = 117 + -114. Let g(l) = 49*l**2 + 49*l + 4. Let s(a) = n*c(a) + z*g(a). Factor s(o).\nAnswer: 3*(7*o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -65 - -75. Calculate the smallest common multiple of 10 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 8207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 32174249?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -5*g - 17, -83*g = 6*r - 79*g - 14. Solve 4 = 31*w - 28*w + 2*d, -4*w + r*d - 6 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 99 + 88 + -11 + -132.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -30*d**2. Let o(i) be the second derivative of i**3\/6 - 10*i. Determine t(o(l)).\nAnswer: -30*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 818863.\nAnswer: 311, 2633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -5, 1, 15?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and -624492916392.\nAnswer: -624492916394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 90 = 6*z. What is the smallest common multiple of z and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 358.2 - 0.139.\nAnswer: 358.061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.13 and -1.851?\nAnswer: 0.24063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**2. Let m(c) = -232 + 10*c**2 + 236 - 12*c**2. Calculate m(v(j)).\nAnswer: -8*j**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 + 5*f**2 + 6*f. Let b(h) = -h**3 + h. Let n(p) = 2*p**3 - 9*p**2 - 15*p. Let g(r) = 4*b(r) + n(r). Determine 6*g(v) + 11*u(v).\nAnswer: -v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 52677267 to the nearest integer?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 41.3 in 1, -1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-48)\/9)\/((-24)\/(-18) + -2). Solve 11 = 3*k - 4*q, -2*k + q + b = -3*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41126 divided by -46.\nAnswer: -20563\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -5*l**4 - 73*l**3 - 394*l**2 - 312*l + 804. Let a(r) = -10*r**4 - 143*r**3 - 789*r**2 - 622*r + 1609. Let z(q) = -4*a(q) + 9*t(q). Solve z(i) = 0.\nAnswer: -10, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + 11*x**2 - 13*x + 3. Is 4 a factor of p(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3269 and 161.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 5*m = -2112. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 191*z - 41. What is the thousands digit of d(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1203525 (base 6) to base 7.\nAnswer: -351554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2285?\nAnswer: 5, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -2*o + 8. Suppose y - 9 = -3*m - 0*m, 0 = -3*m + 2*y. Let i be (-39)\/6*(m - 4) - 2. Solve 2*p = o*w - 2, -3*p + 2*p - 4*w = -i for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -15, -37, -71, -123, -199, -305, -447, -631?\n\"Answer: -d**3 - 15*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 49.3 - 46.29. Let z = 0.01 - i. Let t = z - -2. Are t and -5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 115c66 + -b0?\nAnswer: 115b86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 302, 607, 912, 1217, 1522, 1827?\n\"Answer: 305*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 235473?\nAnswer: -235472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -24*k**2 + 10*k - 85. Let m(j) = 74*j**2 - 32*j + 256. Calculate 5*m(u) + 16*v(u).\nAnswer: -14*u**2 - 80","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3*w + 0 + 0)*(0*w**3 + w**3 + w**3 + (w + 4 - 4)*(2*w**2 + 3*w**2 - 2*w**2)) as b*w**2 + i*w**3 + a + m*w**4 + h*w and give i.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3115350235 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 d = -351746 - -165320691\/470. Calculate the common denominator of 94\/45 and d.\nAnswer: 4230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7145943?\nAnswer: 3, 7, 340283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 2. Let u = 7 - 4. Let s(a) = 3 + 2*a**2 + 4*a**2 - u*a**2 + a**3 - 5*a. What is s(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (22*2\/4)\/((-7)\/(-140)*-10)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9061486 - 13312*b**4 + 9061784 + 3654*b**4 wrt b.\nAnswer: -38632*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 4\/7, 0.3 in ascending order.\nAnswer: 0.1, 0.3, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (130 - 128) + 2*790 and 10?\nAnswer: 7910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42425*g - 8*g**2 + 25*g**2 - 42425*g - 458 + 16*g**2 + 458.\nAnswer: 33*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 49 + 38 = 0. Suppose 3*m = -6, 12*m + 1291 = 5*i + 14*m. Calculate the remainder when i is divided by y.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 6*h**2 + 4*h - 17. Let x be -28 - (0 - (-4)\/(-1)). Let k be (6\/x)\/1 + 54\/(-8). Let v be r(k). Solve -4 = -0*p - v*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 times 14.53\nAnswer: 0.4359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + (1 - 3) - 5) + 3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*w**2 - 4*w + 109*w**3 - 90*w**3 - w as l*w**2 + h*w**3 + i + d*w and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 12*f**2 + 21*f + 4. Determine k(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0157495669 rounded to 4 decimal places?\nAnswer: 0.0157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3\/610 + 19547\/5490. Determine a, given that 34\/9*a**2 - 2*a**5 - 14\/3*a**4 + 8\/9 + m*a - 14\/9*a**3 = 0.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 613559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5574591735 - -2073.65\nAnswer: 5574593808.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) 3668 (c) 5\/3 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -32 (b) -4\/3 (c) -4\/7 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 21\/4 of a day?\nAnswer: 7560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 5) to base 4\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of x**5\/20 + x**4\/12 - 2*x**3\/3 - 2*x**2 - 20*x. Factor n(u).\nAnswer: (u - 2)*(u + 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, h: 3, k: 4, w: 3, c: 7}. Give prob of sequence cchv.\nAnswer: 7\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11536\/240 + 396\/(-5940).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129975617 to the power of 1\/2, to the nearest integer?\nAnswer: 11401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 5*q**2 + q - 1. Let w be o(1). Let d = -5 - w. What is the common denominator of (-1066)\/(-140) + 4\/d and -79\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i - 18*i + 39*i)*(6*i - 59 + 59)*(-2 + 4 - 3).\nAnswer: -150*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-2\/5)\/a*a)\/(a\/(a*a**3*a*a*a))*a**(-2\/13)\/(a\/a**(-8)))**19 assuming a is positive.\nAnswer: a**(-3154\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 139755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-51)\/(-9) + -3 + -3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 40, -3, 0, 38773 in decreasing order.\nAnswer: 38773, 40, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5841, 5771, 5689, 5589, 5465, 5311?\nAnswer: 5121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-5*(0 + -3 + (1 + -2*sqrt(125))**2).\nAnswer: -7470 + 300*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*z - 2753 - 2558 = -38*z for z.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-24)*45\/2*(-134800)\/(-10110)\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.091657 to 2 decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 689912?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f**3 - 15*f**2 + 8*f - 2. Let n be q(7). Suppose k + n*m + 20 = 81, -316 = -4*k - 2*m. Suppose 14*l - k = 717. Is 57 at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 813375 is divided by 12936.\nAnswer: 11343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - 156*u**2 + 325*u - 2602. Give a(154).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -565 = -5*m + 3*r, 0 = -m - 4*r - 15 + 128. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74074.\nAnswer: 2, 7, 11, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m - 2*g + 2, -5*g = -4*m + 1464 - 1482 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -211, -3, 10855, -4 in descending order.\nAnswer: 10855, 1, -3, -4, -211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 3*w + 7. Suppose 22 = -2*c + 36. Let t = 13 + -7. Let m(v) = -3*v - 6. Determine c*m(b) + t*d(b).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 71730 and 20610?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lw when two letters picked without replacement from {l: 1, r: 2, w: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 5 - 3. Let j = -3966513 + 7966517. Suppose -5*r - 2*z = -j, -s*z - 2 = -3*z. What is r rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -5*i**2 - 20*i - 2. Let q be o(-7). Let w = 1476 - q. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.544064680554 take away 1.91?\nAnswer: -1.365935319446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2718 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 555139?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -690*h + 691*h - 4, 5*z + 2*h - 28 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 - 6. Let x(l) be the second derivative of 26*l**3\/3 + 2*l**2 + l. Let p be x(2). What is the greatest common divisor of p and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 + 6*p - 1. Let w be y(5). Suppose w*v - 98 + 18 = 0. Find the common denominator of v and ((-27)\/10)\/(6\/(-8)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/57? (a) 68 (b) 34 (c) -9\/35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 - 31. Let n be (-42174)\/(-176) + p\/(-8). What is the greatest common divisor of n and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -4*q - 87, q = -2*d + 35 + 23. Calculate the remainder when d is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -32 (c) 1\/3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of -175*k**2\/2 + k + 2. Let i be m(-1). Calculate the common denominator of 117\/10 and i\/12 + (-2)\/12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1450 by 290.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 10 - 0 - (-80 - -88)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 0 + 10 = 0. Solve 0*a + a + v = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6424 is divided by 2084.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of 1311*u**8\/56 + u**7\/42 + 518*u**4\/3 - 2423*u. Find the third derivative of q(r) wrt r.\nAnswer: 157320*r**3 + 60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 6*g - 18. Calculate the remainder when p(6) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of -508*f**3\/3 - 3302*f - 469. What is the first derivative of s(t) wrt t?\nAnswer: -1016*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23771 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/((-85 + 2394\/28)\/(10\/(-8)))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1689 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: Does 3 divide 10393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z*z\/z**(-1)*z*z)))**(-2\/11)\/(((z*z**(-9)*z)\/z)\/z*z**(-1)))**48 assuming z is positive.\nAnswer: z**(4800\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -436645, -873284, -1309913, -1746526, -2183117, -2619680?\n\"Answer: d**3 - d**2 - 436643*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26883*a**3 - 101655*a**2.\nAnswer: -161298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -1 + 2 + 1 + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 2*a = -122. Let x = -27 - a. Let c = -22 + x. Solve y + 3*y = c for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/1*2 - -1625)\/(-5). Which is greater: -324 or j?\nAnswer: -324","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/((l*l**(-1\/12))\/l))\/(l\/l**3))\/((l**(-33)*l*l)\/(l*l\/(l**(-2\/99)\/l)*l)))**(-28) assuming l is positive.\nAnswer: l**(-105623\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) - sqrt(34)\/sqrt(2))*3 + -4)*4 + 5.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 349021.\nAnswer: 37, 9433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 84 = j. Suppose 5*u - j = 22. Suppose -3*p + u = -p. Solve -p*d = -d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/2*6\/8. Let l(j) = -j**3 - 3*j**2 - 4*j - 3. Let o be l(-2). Put -2, o, i in ascending order.\nAnswer: -2, o, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - 2*d**2 + 6*d + 23. Let h = -3 - -9. What is the remainder when g(0) is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*i + 24*i + 1950 = 0. Calculate the highest common divisor of i and 225.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57279, 114565, 171855, 229149?\nAnswer: 286447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 98902386 to the power of 1\/2, to the nearest integer?\nAnswer: 9945","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 39 and 868644?\nAnswer: 11292372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 5842?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 212*p**2 + 5*p - 8. What is the lowest common multiple of r(1) and 19?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 9222*j + 24702. Let a(t) = 3690*t + 9882. Let m(c) = 12*a(c) - 5*q(c). What is the first derivative of m(h) wrt h?\nAnswer: -1830","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2263*j**3 - 9 - 9 - 8 - 9*j - 6 + 31.\nAnswer: 2263*j**3 - 9*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + (46 - (-6 - -18 - 12)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -115 + 88. Let y(p) = p**2 - 7*p. Let b be y(6). Let m be (100\/45)\/(b\/o). Solve 3*a + m + 2 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xuux when four letters picked without replacement from {x: 11, u: 5}?\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 g when three letters picked without replacement from {l: 1, g: 2, q: 1, i: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51, 57, 75, 111, 171, 261?\nAnswer: 387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - -1 - (44 + (-2 - 7))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2*x = -8. Let w(u) = -u + 10. Let d be w(8). Solve d*a = 3*a - x for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 45*l**2 + 615*l + 1077. What is z(56)?\nAnswer: 1021","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 2*u + 8 = 2*s, 0 = -2*u. Suppose 2*v + 0*v = 0. Let k be s\/16*v*-1. Solve 2*r + 4 = -k for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 79808.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7862437 to the power of 1\/2, to the nearest integer?\nAnswer: 2804","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*t**2*w**3 - 767399*t**2*w**2 - 3*t*w**3 + 45*t*w**2 + t*w - w**2 - 2*w wrt t.\nAnswer: -4*w**3 - 1534798*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p + 3. Let k be f(-2). Let t(a) = -a - 1. Let i(r) = 3*r. Let x(s) = -i(s) - t(s). Let q be x(k). What is the third biggest value in -0.2, 4, q?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.07, 5, -3\/349, 19836?\nAnswer: -3\/349","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n - 3. Let t be f(-4). Let y(a) = -a. Let i = -2865 + 2859. Let s(b) = -2*b**3 + b**2 - 9*b. Calculate i*y(c) + t*s(c).\nAnswer: -2*c**3 + c**2 - 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128426492.\nAnswer: 2, 32106623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**2. Let h(c) = 4 + 25*c**2 + 37*c**2 - 63*c**2. Calculate g(h(j)).\nAnswer: -2*j**4 + 16*j**2 - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20191?\nAnswer: 61, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + 9*x + 14. Let m be p(-16). Let o = 32 - 24. Suppose -o*y = -7*y - 84. What is the highest common factor of y and m?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 7*a + 3. Let q(c) = -15*c - 6. Give -5*g(l) - 2*q(l).\nAnswer: -5*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -73 + 77. Let h(b) = 21*b + 4. Let g(z) = 22*z + 3. Let f(m) = x*g(m) - 3*h(m). Let q(s) = -3*s. Give f(q(p)).\nAnswer: -75*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*b**4 + 3*b**3 - 3*b**3)*(-8 - 10 - 7) + 171 + 33*b**4 - 171 in the form d*b**2 + l*b**3 + j + a*b + y*b**4 and give y.\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 195102266 - 195102266 - 2*s**2.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115503.\nAnswer: 3, 38501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**2 + 2*f - 1. Let t be o(1). Suppose -5*i - 9 = 2*k - 28, 3*i - k = 7. Suppose i*a + 4 = 5*a. Which is bigger: t or a?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1524939041 to the nearest integer?\nAnswer: 39050","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, j: 2, c: 4}. Give prob of picking 4 c.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000905235 rounded to seven dps?\nAnswer: -0.0000091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one fifth of a millennium?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 321477 is divided by 342?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = -7*b - 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/(9\/(-12)))\/(76\/342). Let d(h) = h**2 - 4 + 2*h + 4*h - 2*h**2 - 3*h. What is d(o)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y\/(y\/(y\/((y*y**(-2))\/y*y*y))))*y*y**(1\/5))**16*(y**(1\/3))**44*(y*y*y*y**(-2\/11)\/y)\/(y\/(y\/y**5)) assuming y is positive.\nAnswer: y**(2423\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.7+887918.237238\nAnswer: 887918.937238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/13)\/((-3240)\/15795). Let s be (-2)\/(-6) + (-19)\/21. What is the nearest to 0.2 in s, -4, c?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -645 + 14187\/22. Suppose 5*y + 3*k - 3996 = 0, -3*y - 5*k = -1434 - 954. Let c = y - 14425\/18. Find the common denominator of q and c.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -176 times -29.915\nAnswer: 5265.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 3, -1.6 in decreasing order.\nAnswer: 3, 0.5, -1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 16 - (-5 + 8 + 3\/(-1)). Suppose -a - 3*b = -0*b - c, -4*b = -4*a + 96. What is the highest common factor of a and 242?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((2 - 1)\/(7\/14))\/2. Put 5, -4, -9, z in descending order.\nAnswer: 5, z, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101934?\nAnswer: 2, 3, 7, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5476321781492 + -0.104?\nAnswer: 0.4436321781492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 64\/117 and 82\/351?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 664 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 + (9 - 7) + 1266 + 2. Let r = -758 + p. Does 22 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from spsscqpsccssu. What is prob of picking 1 p, 1 s, 1 u, and 1 c?\nAnswer: 36\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -5*q**3 - q**2 + 1. Let u be t(-1). Suppose 0 = -2*r - 8, 0*r = m + u*r - 88. Suppose m = 4*g + 28. Does 9 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 b when two letters picked without replacement from lbzyzlqyj.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9*c**3*j**2*k + 48*c**3*j**2*n + c**3*j*k - 4*c**3*j - c**3*n - c**2*j*k*n - 2*c*j*k wrt n.\nAnswer: 48*c**3*j**2 - c**3 - c**2*j*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4321123 + 54?\nAnswer: -4321025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttttqyctht. What is prob of picking 1 c and 2 t?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Solve -41*z - 12*z - 522 = 34*z for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1494 + 1497. Which is the nearest to 0.1? (a) 15 (b) -1\/4 (c) s (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34 + 37. Solve 0 = 2*q - 5 + i for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 + 11*r + 2. Let d be c(11). Suppose d*x + 2*z + 0*z - 520 = 0, 0 = -4*x - z + 1055. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -380*m + 381*m + 3 = -o, -2*o + 11*m + 33 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4084, -8715, -14570, -22261, -32400, -45599, -62470?\n\"Answer: -102*u**3 - 3917*u - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -3*p**2 - 57*p - 102 = 0.\nAnswer: -17, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*w + 3609296 = 29*w - 2373616. Is w a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 21*p + 90. Let v be q(-3). Let i = -5 + 43. Let l = v + i. What is the remainder when l is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.84, -92\/11, 63?\nAnswer: -92\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/67296 and 145\/192.\nAnswer: 134592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*y - 8*y - 10*y - 27*y + 106*y.\nAnswer: 32*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1644, 991, -102, -1635, -3608, -6021?\n\"Answer: -220*t**2 + 7*t + 1857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -8*y**3 + 58*y**2 - 8*y - 42 = 0.\nAnswer: -3\/4, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 542683 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -116*-59.574\nAnswer: 6910.584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3*a - 4*a - 1 + 0*a + 4*a. Let f = 11 - 13. Let q(p) = -7*p + 2. Let n(d) = f*q(d) - 5*t(d). Determine n(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3451 - 3451 + 286*r**2 to the form k + x*r + y*r**2 and give y.\nAnswer: 286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 4 - 1 - 1 - u**3 + 4*u**2 + 5*u. Suppose -10*w - 76 = -56. Calculate the remainder when 111 is divided by x(w).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 871 + r**2 - 68622*r**3 - r**2 + 2*r + 67272*r**3 wrt r?\nAnswer: -8100*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3 - 62953*n**2 + 4158165*n - 68627691.\nAnswer: -(n - 33)**2*(n + 63019)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -10. Sort k, -2, -1 in descending order.\nAnswer: k, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 498805 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 12*p + 84 = 0, 0*d + p - 68 = -5*d + 5*p for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.396, -115, 4.\nAnswer: -115, 0.396, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 divided by -59?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 449 in -9\/7, 0.1, 0.4, 6, -0.5, 0.5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y - 3. Let s be m(-6). Suppose -50 = -s*h - 2*h. Does 10 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1))**(-1\/27)\/(((i\/(i*(i**(-2\/9)*i*i)\/i)*i)\/i)\/i**(-6)))**(-5\/6) assuming i is positive.\nAnswer: i**(350\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29 + 12 - 3*j + 18 + 2*j**3 - 2*j**4 to the form a*j**3 + c + g*j**2 + b*j**4 + p*j and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*g + 5*g - 825. Suppose 0 = -4*y + 2*q + 282, -q - 3*q + g = y. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -262276 + 262275.97999912. Let c = 0.02 - 0. Let j = t + c. What is j rounded to 7 decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 199\/48300 and 68\/9.\nAnswer: 144900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 4*z = 2*n, 4*n - 2*n - 4*n + 3*z = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -36 + 3?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 316 + -471. Let a = 55 - l. Does 10 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9799 a factor of 2321843653?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9766180743 less than 0.96?\nAnswer: -9766180742.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60*29\/(-8700))\/((1\/(-1))\/(-95)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2129444*n + 2 = -2129449*n - 4*s, -74*s - 358 = 3*n - 142 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 251, 254, 257?\n\"Answer: 3*c + 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25309.\nAnswer: 25309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 138140984 to the power of 1\/4, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -7 (c) 1 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 108.6 - 108.2. Let r = -16.34 - -0.34. Let v = 17 + r. What is the fourth biggest value in v, -0.18, y, 4?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, t: 5, d: 2}. Give prob of sequence utd.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -30450000 to the nearest 1000000.\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -3, -30, 0.5, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p**4 - 2*p**5 + 4*p**4 + (4*p - 6*p + p)*(-p**2 + p**2 - 2*p**4) + 4*p**5 - 2*p**5 + 0*p**5.\nAnswer: 2*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1255676 divided by 23692\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4638259 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 397 in -3\/4, -190, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a**5 + 4884*a**4 + 1525596*a**3 + 14912524*a**2 - 3628732224*a + 55757875968 = 0. What is a?\nAnswer: -601, -67, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -116880 divided by 2435.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 152303360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*(-1)\/(-3)*(-189)\/147?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 163, 117, 41, -65, -201, -367?\nAnswer: -563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162554786?\nAnswer: 2, 81277393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -901 take away -4.601?\nAnswer: -896.399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1118 - 1131. Is -9 greater than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8303 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in 0.2, -4, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 22 + -52 + 28 - -5 - (22 - -3)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18022*g = 18341*g + 11484 for g.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d + 9. Let u be n(7). What is the derivative of -3*b + u*b + 0*b + 1 wrt b?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3575*b**3 - b**2 + b**2 + 7126*b**3 - 3573*b**3.\nAnswer: -22*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 4*n**3 + n**2 - n + 3. Let p be c(2). Determine u, given that p*u + 9*u + 50*u**3 + 2*u - 90*u**2 - 8 = 0.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x**4\/6 + 433*x**3\/6 + 8101*x**2\/6 + 41735*x\/6 - 3003 = 0. Calculate x.\nAnswer: -63, -13, -11, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u**2 - u - 42. Calculate p(0).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21 and 933.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 218 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 nearest to 1.89 in 3\/25969, -1\/2, -1, -2?\nAnswer: 3\/25969","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 104 + -366. Let x = 264 + z. Which is the nearest to 1? (a) -16 (b) x (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 84887 to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w**2 + 2*w**2 - 2*w + 7 + 2*w**2 - 6*w. Let h = -114 - -161. What is the remainder when h is divided by p(5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25 - -25. Suppose -2*j + 11*j - 1341 = k. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 3*k + 7. Let j be (-12)\/(-2)*k\/(-21). Sort j, -4, 2.\nAnswer: -4, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 101059.7 - 101060. Suppose 15 = -0*n + 5*n. Let y = -85 + 594\/7. What is the fourth biggest value in n, y, 2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 8*b**2 + 9*b - 4. Let i be s(7). Suppose 10 = -8*j + i*j. Solve 0 = -4*m - 5*q, -j*q - 6 + 21 = m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 948 by 438.\nAnswer: 158\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17833 + -17817. Suppose 0 = 4*w - 4*l - 16, 1 + 0 = l. Solve 9*o = w*o + n for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2916)*-2 + (sqrt(144)*-2 - sqrt(144))\/sqrt(4))\/(-5*sqrt(288)\/sqrt(6)).\nAnswer: 21*sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.608026846847 and 0.\nAnswer: -0.608026846847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1714414396?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3*u**2 + 269*u + 663. Calculate k(-87).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of a**6\/120 + a**3\/3 - 2*a**2. Let c(r) be the first derivative of v(r). Let j(w) = 2*w**2 + 7*w - 7*w. What is c(j(k))?\nAnswer: 12*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9.3 - 0.3. Let v = g + -8.6. Which is the second biggest value? (a) -2\/15 (b) v (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 7*q**2 - 5. Let l be -5 + 3 + (-20)\/(-2). Let x = 41 + -46. Let k(d) = 11*d**2 - 8. What is l*r(o) + x*k(o)?\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (175\/30*168\/(-280))\/(0 + (-9)\/12)\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -122011 + -30?\nAnswer: -122101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -459723.7 to the nearest ten thousand.\nAnswer: -460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(1\/3)*l*(l\/l**4)\/l*l**(-2\/3)*l*l**(2\/5)*(l**(-2))**(-6)\/(l**(1\/3)*l)**(-1\/10) assuming l is positive.\nAnswer: l**(51\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, n: 1, e: 1, y: 7, o: 2}. What is prob of picking 3 y?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.92 - 4.92. Which is the second biggest value? (a) -1.8 (b) -0.4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60168377 to the power of 1\/2, to the nearest integer?\nAnswer: 7757","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pzzpccgvcpyvvpp. Give prob of picking 1 z, 1 g, and 1 y.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1049920 rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**26)**10 assuming s is positive.\nAnswer: s**260","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 10, g: 3, k: 3, s: 4}. Give prob of picking 2 s.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1606382, -3212704, -4819026, -6425348?\nAnswer: -8031670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5a9e (base 15) in base 2?\nAnswer: -100101101001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8970569 to the power of 1\/2, to the nearest integer?\nAnswer: 2995","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 2*l**2 + 3*l - 6)*(53922*l + 64 - 53924*l + 3).\nAnswer: -4*l**3 + 128*l**2 + 201*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 56 * -0.22.\nAnswer: -12.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (22\/(-4))\/(1\/(-38)). Suppose 59*p - 9704 = -359*p + 4090. Calculate the highest common factor of c and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -127903.237029 + 127903. Let s = g + 0.237. What is s rounded to 6 dps?\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 143, 286, 431, 578, 727?\n\"Answer: b**2 + 140*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of a**5\/5 + 7*a**4\/12 - 175*a**3\/3 + a**2 - 1584*a. What is the second derivative of r(j) wrt j?\nAnswer: 24*j + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three eighths of a micrometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/27328 and 47\/262416.\nAnswer: 64029504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.6311 and 1.\nAnswer: 0.6311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*i**2 - 27*i - 5*i**2 + 27*i.\nAnswer: 11*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -97280886 divided by -6\nAnswer: 16213481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-16))\/((-140)\/(-224))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 238434879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 4.2. Let d = 10.26 - 8.26. Sort d, 2\/19, l, -2\/17 in descending order.\nAnswer: d, l, 2\/19, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/3)\/(102\/102)*(-2)\/2.\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3766971.\nAnswer: 3, 13, 96589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*u - 25*u + 50*u.\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-6) - 1)\/((-429)\/66)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21700 and 3222884?\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 30\/9 + (-3)\/9. Suppose z*k = 3*x + 204, -5*k - 4*x + 9 + 340 = 0. Is 9 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 209 - 1047\/5. Put -3, i, -0.03, -0.08, 0 in descending order.\nAnswer: 0, -0.03, -0.08, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -168 - -144 - (-9 + (2 + -4 - -3))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 26\/(-30) + (-1)\/((-60)\/(-8)). Calculate the common denominator of (f - 2) + 4 - (-32)\/(-52) and 59\/9.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 10*f - 3*l = 42, 4*l + 72 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 3. Let q = -5.4 + 0.4. What is the smallest value in 3\/8, q, m?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/9)\/(2\/(-9)). Suppose -w*p = -2*p - 29. Is 5 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of 3*u**5\/20 - u**4\/3 - 5*u**3\/6 - 5*u**2\/2 + 133*u. Let o(t) = 3*t**3 - 5*t**2 - 6*t - 6. What is 6*d(w) - 5*o(w)?\nAnswer: 3*w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/8 - (-21)\/(-24))*5. What is the third biggest value in q, 1\/6, -9, -0.2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that h**5\/2 + 4*h**4 + 3*h**3 - 20*h**2 + 25*h\/2 = 0.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -299 + 164 + 157 + 4*v.\nAnswer: 4*v + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 + 7)*(-12*l - 19 + 19).\nAnswer: -132*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 205.8 - 245.8. Sort -0.2, j, 2 in increasing order.\nAnswer: j, -0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(13) + 0 + sqrt(13) - ((-5 + 1*sqrt(13))**2 - sqrt(13) - sqrt(13)).\nAnswer: -43 + 14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5480 - -5483. What is the nearest to 1 in o, -2\/19, 35, -2?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-663)\/117)\/(1\/3)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.5 - -6.5. Let s = -0.7 + 1. Let b = 0.131 + -0.031. What is the nearest to b in z, -2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 3*l + 224 = 0, -4*c + 3 = l - 221. Is c even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -30 + 25?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 55, 84, 113?\nAnswer: 142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 80670643 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 163\/60 and (221\/520)\/((-9)\/12)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/81538 and 77\/64?\nAnswer: 2609216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 29 = -88. Let g(w) = 13*w. Let u be g(3). Let i = z - u. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a**2 - 31*a + 22. Give u(7).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 2. Let q(b) be the second derivative of -b**3\/2 + 2*b**2 - 14*b. Let n(l) = -8*l + 5. Let j(f) = f. Let y(o) = -4*j(o) - n(o). Give z*y(a) + 3*q(a).\nAnswer: -a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2169 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r**4 + 3820*r**3 - 475485*r**2 - 4019620*r - 3540320 = 0.\nAnswer: -872, -7, -1, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (16\/(-430))\/((-28)\/110). Let j = m + 6\/43. Let i = -157\/203 - -10\/29. Which is the third biggest value? (a) -0.3 (b) j (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-9) - (-30640)\/(-180). Is -170 greater than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 15849, 31731, 47643, 63585?\n\"Answer: 15*g**2 + 15837*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cac when three letters picked without replacement from {a: 8, c: 2, e: 8}?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 33690142007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-13)\/(p**(-4\/5)\/p))**(-2\/35)\/(p**9*p*p*(p**5\/p)\/p*p*(((p\/(p*p*(p\/(p\/((p*p**1*p*p)\/p)))\/p*p))\/p)\/p)**(-12\/7)) assuming p is positive.\nAnswer: p**(-4313\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 16173311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, 2, -0.19629, -5, -2\/13?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1620 times 0.2\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 193 + 15 + 159 - 4*b**2 + 4*b**2 - b**3.\nAnswer: -b**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r**2\/4 + 7347*r\/2 - 14691\/4 = 0.\nAnswer: 1, 4897","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 1234*k + 3703. Let r be i(-3). Which is the third biggest value? (a) 0.4 (b) 6\/11 (c) 4\/9 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5960 divided by -5?\nAnswer: 1192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 107124 and 156.\nAnswer: 1392612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3 - 2 = 3*u, -u - 5 = 3*l. Suppose 0 = w - 3 - u. Suppose -w*v = -5*q + 251, -4*q + 3*v = 7*v - 172. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - 0. Find the second derivative of 3*b**3 + 0*b**2 + c*b**2 - 2*b - 2*b wrt b.\nAnswer: 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f + 48863495. Let a(l) = l. Calculate a(t(m)).\nAnswer: -m + 48863495","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46142258 + 46142258 - 3*m.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 18481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 13*-4.63\nAnswer: -60.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -101 - -160. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uybbgunnbnm. Give prob of sequence mygu.\nAnswer: 1\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 - 3*s - 2. Let y be n(3). What is the second biggest value in y, -4, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**3*g*g\/(g*g*g**(-4))*g*(g*g*g\/g**3)**(-1\/42) assuming g is positive.\nAnswer: g**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3719893 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2\/2 - 420582*d + 59737767\/2.\nAnswer: -3*(d - 71)*(d + 280459)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a gram in milligrams?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 12*j**2 + 10*j + 16. Let z be -1*(-3)\/6*22. Let p be f(z). Suppose 5*q = 5*g + 11795, q + p*g + 350 = 2697. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**4\/4 - 165*j**3\/4 + 2349*j**2\/4 - 2187*j\/4 = 0. Calculate j.\nAnswer: 0, 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -180 by -4565705.\nAnswer: 36\/913141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 52668 a multiple of 209?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -48*v**2 + 5 + 3*v**2 + 3*v**2 - v**2 as j*v**2 + c + k*v and give j.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 443 + -4865\/11. What is the closest to -2\/3 in a, 1, -1, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.242 and 86.\nAnswer: 85.758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -10*v + 168. Let r be p(8). Let c(y) = 2*y**2 - 8*y + 44. Let z be c(11). What is the greatest common factor of z and r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 times 39?\nAnswer: -585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 229965*k + 2055290?\nAnswer: 229965","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4913448.000038 - -4913457. Let f = -9 + d. What is f rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 10*r**2 + 5*r + 17. What are the prime factors of x(-5)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**4 - 50*b**3 - 312*b**2 + 288*b + 3456 = 0. Calculate b.\nAnswer: -12, -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 - 14 = -3*i. Let q = 51 + -102. List the prime factors of (q\/9 + 2)*i.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17769 bigger than -19445?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 2*f = -5*m - 25, 3 = -3*f. Let y = -3 + 7. Let z = 3.8 - y. Which is the third biggest value? (a) 2\/3 (b) m (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4*x**2 + 2*x - 8. Let m(y) = -y**2 + 1. Calculate f(k) + 5*m(k).\nAnswer: -k**2 + 2*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 248 and 14659404.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16418657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -y + 7 - 0, -2*m = 2*y + 18 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/21)\/(13\/3237) - (-27)\/189?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45*p**2 - 24*p**3 + 45*p**2)*(-3 + 5 + 0)*(-3 - 2 + 3).\nAnswer: 96*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 is divided by 19?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, -3, -7, -5 in decreasing order.\nAnswer: 2, -3, -4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 9*q. Let k be c(2). What is the remainder when 70 is divided by (8 - k)\/((-4)\/6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 1 - (0 - (6 - 2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6991567, -6991568, -6991569?\n\"Answer: -c - 6991566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14455203.\nAnswer: 3, 7, 181, 3803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/1 + 1 + 3. Let a = -264 + 266. Let s = 1 + -0.8. What is the closest to a in s, c, -7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t**10))**(-32)\/((t\/(t*t**(-19)))\/(t\/(t\/t**(-12\/5)))) assuming t is positive.\nAnswer: t**(1493\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(243) - (-2*sqrt(243)*4)**2.\nAnswer: -15552 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31\/(-248)*(-228)\/(-3)*2.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 555.6 * -4.\nAnswer: -2222.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.871+-96331.02963\nAnswer: -96331.90063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -12*t**3 + 12*t**2 + 4*t + 2. Suppose 3*v = 4*v - 19. Suppose -3*y + g = 7 - 27, 2*y + 5*g = v. Calculate the remainder when u(-1) is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 - 91.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*j - 5*j**2 - 8*j + 19*j - 2*j**3.\nAnswer: -2*j**3 - 5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/10 and 73\/750.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6130 is divided by 68?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -3*g - g + 2 + g**2 - 2*g. Let p be n(6). Factor c + 3*c**5 + 4*c**3 - 4*c**2 + 2*c**3 - 4*c**4 - p*c**5.\nAnswer: c*(c - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 2*k - 12991 = 0, 3*t + 2988 = 6*k + 15963. Does 73 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l. Let y = -6 + 11. List the prime factors of p(y).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1434564?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1246? (a) 5 (b) 1.88 (c) 2 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1100\/3379 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194565 is divided by 8575?\nAnswer: 5915","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2913 - -1201. Is w greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 522*u + 856. Let q(o) = 3*o + 1. Let k(x) = l(x) - 6*q(x). What is the derivative of k(p) wrt p?\nAnswer: 504","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -353 and -97504.\nAnswer: 34418912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -55, -99, -117, -97, -27, 105, 311?\n\"Answer: 2*q**3 + q**2 - 61*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 48607271 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 136571014?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 8*f**2 + f + 9. Let r be s(-8). Let i(y) = 4*y. Let p(w) = -7*w + 2*w + 1 - 1. Let o(q) = -6*i(q) - 5*p(q). Give o(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.44 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 8:09 PM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5\/2, -1\/20, 49, 0.5, -13, -2\/13?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 129670.509 rounded to the nearest one thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -32, -237, -890, -2243, -4548, -8057, -13022, -19695?\n\"Answer: -42*n**3 + 28*n**2 + 5*n - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (44\/462)\/((-1)\/((-42)\/(-3)))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23537026477 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 3*p - p - 4400, 4*p - 8745 = -3*n. What are the prime factors of p?\nAnswer: 2, 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of -i**6\/120 + i**5\/40 - i**4\/48 - 15*i. Factor v(p).\nAnswer: -p**2*(p - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -836258, -3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 3*m**2 + m + 3. Let k(z) = -z**3 + z**2 + z + 6. Let f be k(0). Suppose -f = 4*i - 2. Let q(a) = -2*a**2 - 1. Let n be q(i). Give l(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 4*r**2. Suppose 4*k - 2*k + 4*p = -10, 11 = -5*k + 4*p. Let c be v(k). What is the highest common factor of c and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77612 is divided by 446.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*q - 290669 = 41819. What is q rounded to the nearest 100?\nAnswer: -6400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccc when three letters picked without replacement from {z: 3, c: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 6*z**3 - 4*z**2 + 2*z + 1. Suppose -5*m - 20 = 0, -w = -3*m - m - 18. Suppose -2*f + 16 = -10. What is the remainder when g(w) is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z**2 + 5*z. Let t(k) = -2*k**2 + 4*k. Let a be -4 + 1 + 8*1. Suppose -x + 1 = 2*u, a*x + 0*x + 5*u - 15 = 0. Calculate x*t(w) - 4*b(w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -21, -4, 2, -2 in descending order.\nAnswer: 2, -1, -2, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - (-12)\/(-3)) + 24\/(-5).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 4*a - 4 = -a, 4*a - 4 = d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -763*u - 114. Let o(p) = 130*p + 19. What is 23*o(b) + 4*z(b)?\nAnswer: -62*b - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o. Let r(q) = 1 - 95*q**2 - 1 + 83*q**2. Determine r(j(y)).\nAnswer: -48*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -14829 times 15.9\nAnswer: -235781.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 102 * 5185\nAnswer: 528870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -148527*-10443\nAnswer: 1551067461","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9193286411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0\/2 + (-8460)\/(-27))*-3. Let p = 969 + j. Calculate the remainder when 171 is divided by p.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26.32968*17.6.\nAnswer: 463.402368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 + 1)*(1 + 3*z**2 - 1) + (-2*z + z + 0*z)*(-3490 + 75*z + 3490) to x*z**2 + n*z + i and give x.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**2\/2 - 183*o\/2 - 37.\nAnswer: (o - 37)*(5*o + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 7794200 to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/32)\/((-12)\/2)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -464\/73 or -6?\nAnswer: -464\/73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8 + -c?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.541775091 less than 0.5?\nAnswer: 1.041775091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8\/165, -15, 49, 1, -4, -5, -1?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 + 14*w + 19. Suppose -2*z + t = -t - 48, -128 = -4*z - 4*t. Calculate the remainder when z is divided by l(-13).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*f + 6*f + 8*f - 1378*f**3.\nAnswer: -1378*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6235 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*s - 12. Solve -s*j + 20 = -j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of 3273*k**5\/10 + 4049*k**3\/6 + 2*k + 3546. Find the second derivative of w(j) wrt j.\nAnswer: 39276*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 8*b**2 + 9 - 3*b**2 + 3*b - 7 + 2*b**2. Let r be x(-1). Solve -r - 14 = -5*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 553 and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 735374328 divided by -57?\nAnswer: -12901304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 6254136 (base 8) to base 11\nAnswer: a34a50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2110 - 2109.99992336. What is u rounded to 6 dps?\nAnswer: 0.000077","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 125 - 60. What are the prime factors of i?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -6e07b?\nAnswer: -6e077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*r**2 - 16*r**2 - 6*r**2)*(-r - r + 4*r - 2).\nAnswer: -60*r**3 + 60*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -22853*z - 365643. What is s(-16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - l = -8*o + 8999, 2 = 2*l. Does 50 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -353070.\nAnswer: 1\/353070","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 43 divided by 2\nAnswer: 43\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 49\/98*(-4)\/9\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 160766567?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1245 = 149*h - 692 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 + 6. Let g(b) = b**2 + 4*b - 9. What is the remainder when 8 is divided by g(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 + 21*j + 1007. Calculate i(44).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.02894199334 from 0.0438.\nAnswer: 0.07274199334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -3*p**2 - 2186*p - 301745. Give z(-185).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55) - (sqrt(550)*-1)\/sqrt(10))\/(2*sqrt(405) + sqrt(405)) + -6*(sqrt(11) - sqrt(22)\/sqrt(32)) + -2)*-5.\nAnswer: 10 + 1195*sqrt(11)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1522\/5 - 10624\/35. Solve f*m**3 - 6\/7*m + 3\/7*m**2 - 3\/7 = 0 for m.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -239, -240, -241, -236, -219, -184, -125, -36?\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1226 a factor of 119217087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 4 = -0*p, -2*m + 15*p = 10*p + 28 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1281 is divided by 1272.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2312630000 rounded to the nearest 1000000?\nAnswer: 2313000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12 - -2?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of -161*j**6\/6 - 2*j**2 - 790*j. Find the first derivative of n(d) wrt d.\nAnswer: -3220*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 - 2*u**2 + 5*u**2 + (u + 2*u - u)*(2*u + 3 - 3) + 0*u**2 + 0*u**2 - u**2)*(3 - 3 - 1)*(-3*u + 4*u + 4*u).\nAnswer: -20*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {t: 1, o: 14}?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2 = -8. Let l = c + -5. What is the remainder when 27 is divided by l\/(-20) + 53\/4?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7303264 a multiple of 4401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10.5 + -15.4. Let t = -5 - g. Put -1\/2, 1, t in increasing order.\nAnswer: -1\/2, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2240248565 and -0.5?\nAnswer: 2240248564.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 3113 - 2*j - 3112)*(-3*j - j + 2*j) + (2 + 5 - 3)*(-j**2 - j**2 + 0*j**2).\nAnswer: 2*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66858872.\nAnswer: 2, 19, 439861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 27819 (base 14) to base 7\nAnswer: 554432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that u**3\/4 - 355*u**2 + 21129*u\/4 - 37935\/2 = 0.\nAnswer: 6, 9, 1405","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7449085, -7449084, -7449083, -7449082, -7449081?\nAnswer: -7449080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 13*z = -530. Let x = z + 111. Which is the nearest to -1? (a) x (b) 0.27 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 129*p - 14 + 25 - 12. Does 32 divide x(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 4*a**4 + 4*a**2 + 2*a - 18*a**3 + 19*a**3 - 5*a**2 to the form y*a**2 + v*a**4 + z*a**3 + f + l*a and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 341, -7, 5, 2, 4 in decreasing order.\nAnswer: 341, 5, 4, 3, 2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.031 + 0.331. Let u be (-8)\/(-8) - 4*-1. What is the closest to u in 2\/11, q, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 5 - 1 - 2 - 2 + 3 + (1 + 0 + 2)*(2 - 5 - 3))*(2*j - j + 2*j) as u + v*j and give v.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*m - 768 - 152. Suppose 0 = -m*b + 116*b + 2. What is the biggest value in b, 7, -2\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + l + 5*h + 305, 2*h = -4*l + 298. Calculate the highest common divisor of 30 and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 0 + 3. Let t(u) = 5*u**2 + 6*u + 4. Let c be t(k). Solve -3*l + 0*n - c = 4*n, 5*n + 35 = -3*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41571.\nAnswer: 3, 31, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 15 (b) 5 (c) -1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -6*n + 2. Suppose 33*a = 2*j + 28*a + 11, -j + 3*a - 6 = 0. Let x(v) = -5*v + 3. What is j*o(b) + 2*x(b)?\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 705 and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 r when two letters picked without replacement from {r: 3, a: 11}?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 385984717 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/(-3))\/((-2)\/2). Let m = 178 - 120. Let x = m - 55. What is the closest to -2 in -0.5, c, x?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 289131487 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 270 = 260. Suppose -s - 29 = -v, s - 3*s - h = -4*v. Let y = v + -6. Calculate the highest common divisor of 9 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164*v + 4 + 323*v - 4 - 164*v.\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 370 and 28712.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.427818ng in milligrams?\nAnswer: 0.000008427818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -22*d**2 - 7*d - 1. Let u(r) = 88*r**2 + 30*r + 4. What is -9*h(l) - 2*u(l)?\nAnswer: 22*l**2 + 3*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vqq when three letters picked without replacement from {v: 2, m: 1, t: 11, q: 3, n: 2}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19\/112 in 0.2, -2, -2\/7, 2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bi when two letters picked without replacement from {g: 1, b: 2, i: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 435 and 68124320408?\nAnswer: 68124319973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - -1) + 2 + -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4660*s - 334935 = 37865 for s.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - 26*l**2 + 61*l + 160. Calculate the remainder when 2753 is divided by i(-29).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in one tenth of a millisecond?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away 0.81?\nAnswer: -1.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 100 and 3100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + t - 4 - 7 = 0, 2*t + 10 = 2*m. Let a(g) = -g + 21. Let d be a(m). Solve d = 2*f + 5 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -274*n**2. Let z(p) = 3588*p. What is w(z(t))?\nAnswer: -3527405856*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 251*f**5 - 3*f**2 - 5?\nAnswer: 15060*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {y: 14, v: 1}.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -10635, 5\/8, -211?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (7 - 3) + -2 - -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r + r - 2. Suppose 4 = j + b, -r*j - 5*b = -7*j + 10. Suppose 0 = -z - 5*x + 7 + 146, j*z = -5*x + 419. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -n + 5*n + 24, 0 = -2*f + 5*n + 33. Suppose 8*d = -3*a + 9*d + 8, -d = 5*a - 24. Solve -4 = 3*r - a*l + 3, -28 = -4*r - f*l for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h - h**2 + 0*h)*(29*h + 14*h - 19*h) - 2*h**2 - 12*h + 2*h + 3*h**3 + 7*h.\nAnswer: -21*h**3 - 2*h**2 - 3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**0)\/s**(-2\/9))**(23\/5) assuming s is positive.\nAnswer: s**(253\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.03 + -1. Suppose 0 = -21*l + 129 - 66. Sort 4, l, n in decreasing order.\nAnswer: 4, l, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.034 - -6.566. Let h = -14.9 + f. Let u = 8 + h. Which is the second biggest value? (a) 0 (b) u (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 14*b**2 + 16*b**2 - 31*b**2. Let l(j) = -2*j**2 + 20. Determine l(d(m)).\nAnswer: -2*m**4 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 5, 3, 110, -25.\nAnswer: -25, -4, 0, 3, 5, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -408 or -2\/7?\nAnswer: -408","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149*f + 436*f - 153*f - 148*f.\nAnswer: -14*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/55 and 39\/220.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -4790121 (c) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 246.3034cm to nanometers.\nAnswer: 2463034000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1148*n = -704*n - 11544 for n.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -23674 or -260402\/11?\nAnswer: -260402\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14331, -14321, -14305, -14283, -14255, -14221?\nAnswer: -14181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**2 + w**2 - 2*w**2 + (1 - 1 - 2)*(2*w**2 + w**2 + 10*w**2) to g*w + c*w**2 + u and give c.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3096642 to the power of 1\/3, to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -251255244 + 4?\nAnswer: -251255240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 - 2. Let m be p(4). Solve -4*u - 2*w = 18, -3*w + m = -2*u + w for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = 4*s - 8 - 0, -5*r - 5*s - 30 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 1 - 24*t + 0 + 0. What are the prime factors of q(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/36 in 0.1, -2, 0.5, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -243650, -243671, -243692, -243713, -243734, -243755?\n\"Answer: -21*g - 243629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 PM and 3:21 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 6 = -2*p - 8, 4*p = 4*g + 8 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 3, -28, -0.4, -0.3, -7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/4 or -19705.8?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xggg when four letters picked without replacement from {x: 1, g: 8, w: 11}.\nAnswer: 14\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 8. Calculate the remainder when 60 is divided by (3 + (3 - 9))\/(l\/3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*v + 3. Let h = v - -1. Suppose h*y = 10, -u - 2*y + 11 = -0*y. What are the prime factors of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 192 + -82. What is the highest common divisor of b and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 10002?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.135, -0.2, 2195.\nAnswer: -0.2, -0.135, 2195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oozoooozoozo. What is prob of sequence ozo?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 3*u - 282 = 177, -5*c - 3*u + 775 = 0. Is 156 greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 716 by -20.\nAnswer: -179\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(11\/4)*u**(-21)\/u*u assuming u is positive.\nAnswer: u**(-73\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 5*g - 41. Let f be j(7). Suppose -3*u = -k - 1, k + u - 7 = -2*k. Let a be k*2\/f - (-1945)\/15. Round a to the nearest 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*z + 69*z + 14*z + 62*z.\nAnswer: 172*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a - 765249 = 121791. Does 264 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 181659 and 6.\nAnswer: 363318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1937 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 17*d**3*f**2 + 6*d**3*w + 4*d**2*f**2*w + 23444*d*w - 87*f*w wrt f?\nAnswer: 34*d**3*f + 8*d**2*f*w - 87*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 18421398*0.1\nAnswer: 1842139.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3707811 by 3.\nAnswer: -1235937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express z**3 - 3*z**3 - 54*z + 21*z - 136 + 138 in the form d + q*z + o*z**2 + t*z**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jq when two letters picked without replacement from jnlnjjljlqnjjnjn.\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3922 - -4463. Calculate the remainder when l is divided by 135.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and -302287.\nAnswer: -302291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -43607*f - 87215. What is u(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 47904341029 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 137569238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 113*x**2.\nAnswer: 113*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 3*j = 3*a - 10, -3*a + 4 = 4*j. Suppose -5*y = 5*z + 25, -a*z + 3*y - 19 = -6. What is the tens digit of (18\/(-15))\/(z\/270)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -33.7 and -8.44073?\nAnswer: 284.452601","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5885470586.\nAnswer: 2, 101, 107, 272299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -67*f**3 + 16*f**3 - 18*f**3 + (3 - 3 - 2*f)*(-f**2 + 0 + 0) to the form n*f**3 + o*f**2 + m + b*f and give n.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 320?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10001010010001011011 (base 2) in base 13?\nAnswer: 16aa35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 6*j + 56. Let q be w(-7). Let o(c) = 5*c**2 - 23*c + 43. What is the remainder when o(q) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9083.5540155 + -9083.5. Let z = l - 0.054. What is z rounded to six decimal places?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42\/5 or 63108?\nAnswer: 42\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146284*n + 146326*n - 292515*n.\nAnswer: 95*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12638 and 56474.\nAnswer: 356859206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) - 5*(sqrt(153) + -2*sqrt(153) + sqrt(153)))\/(sqrt(81)\/(3*sqrt(9))))**2*5.\nAnswer: 765","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 31431, -3, -222 in ascending order.\nAnswer: -222, -3, 5, 31431","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*m - 169*m = 227*m - 12384 for m.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 169.3977327 nanoseconds in weeks?\nAnswer: 0.00000000000028008884375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3.89 times 99660\nAnswer: 387677.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n + 38. Give j(-26).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(-17))\/(69498\/(-71604)). Factor -32\/11*x + w*x**3 + 8\/11*x**2 - 128\/11.\nAnswer: 2*(x - 4)*(x + 4)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -536.7074 + 0.9574. What is c rounded to the nearest 10?\nAnswer: -540","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 38 in -21, 1.5, -1?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1166658820.\nAnswer: 2, 5, 229, 254729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1112363 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 + 4*s**2 - 4*s**2. Let a(h) = -3*h**2 - 4*h**2 + 9*h**2 + 0*h**2. What is a(n(b))?\nAnswer: 2*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -19437*p**3 - 4*p**2 - 32*p - 12536142?\nAnswer: -58311*p**2 - 8*p - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -994 times 6?\nAnswer: -5964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4646 - 501733\/108. Calculate the common denominator of -83\/66 and x.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1998?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72 and 2232?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/60 and -21\/544.\nAnswer: 8160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*f**4 - 12782*f**3*k**2 - 1137*f**2 + 3*f + 54*k**2 + 2*k wrt f.\nAnswer: 312*f - 76692*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/((-48)\/(-20))*2\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 s when three letters picked without replacement from ssssusuussssusususs.\nAnswer: 65\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43 - -45. Suppose 4*t + t = -5, 2*t = q*y - 22. Suppose 27*m - 31*m + 40 = 0. Calculate the highest common divisor of m and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1036009 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8437*a**3 - 8444*a**3 + 16880*a**3.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dooooodooooooooooo. What is prob of picking 2 d and 1 o?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -240, -29, 192, 423, 664, 915, 1176?\nAnswer: 1447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 6, -4, -0.0235, -2, 2, -5 in decreasing order.\nAnswer: 6, 2, -0.0235, -2, -4, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = v - 4*c, 0 = 3*c - 6 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2212030000130 + 1?\nAnswer: 2212030000131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/10? (a) -5 (b) -2\/13 (c) -4 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9709, 9711, 9713, 9715, 9717?\nAnswer: 9719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2\/15, 11 in descending order.\nAnswer: 11, 2\/15, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/522 and -69\/1798.\nAnswer: 16182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 24 = p. What is the common denominator of (-2)\/(-12)*(-141)\/9 and (-5)\/20 + (-17)\/p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41 - -64. Suppose 18 = 3*f - f. Calculate the remainder when w is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l - 3. Let x be o(-24). Let u = -57 - x. Is 20 a factor of (40*-1)\/(-2 - 9\/u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5512106*z**2 + 3*z - 2426678 wrt z?\nAnswer: 11024212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14344 in 5, -5, 0.3, -3, 0.06?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + j**2 - j - 5. Let t be g(4). Let p = t + 39. What is the units digit of (-4)\/(-18) - 50\/p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2911 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -460\nAnswer: 1840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(495)*2 - sqrt(495) - sqrt(495)) + sqrt(495))\/sqrt(9))\/(sqrt(15)\/(sqrt(3)*-2)).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**4\/11 + 26*z**3\/11 + 78*z**2\/11 + 54*z\/11 = 0.\nAnswer: -9, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 - 35. Let g = x + 36. Is 7 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**4 - 4*z**4 + 2*z**4 + z**4 - 4*z**4 + 5*z**4 + (-5*z**2 + 2*z**2 + 4*z**2)*(-12*z**2 - 14*z**2 + 29*z**2).\nAnswer: 4*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -53352 to the nearest one thousand.\nAnswer: -53000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 122, -2\/17, 0.07 in decreasing order.\nAnswer: 122, 0.07, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 29\/3 of a year?\nAnswer: 116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of -f**6\/360 + f**5\/40 - f**4\/12 - f**3\/3 + 5*f. Let l(h) be the second derivative of t(h). What is l(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -661785, -661733, -661681, -661629?\n\"Answer: 52*z - 661837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -841 - -841. Put 2, 113, q in increasing order.\nAnswer: q, 2, 113","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*y - 4*y**2 - 3*y)*(3 - 1 - 1) + y**2 + 2 - 2 - 2*y**2 + 5*y - 5*y)*(-2 + 2 - 4).\nAnswer: 20*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 3*u**2 - 17*u**2 + 1 - 5*u**2.\nAnswer: -19*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 53730659 to the nearest integer?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29 - 15. Let b = f - 14. Solve b*g + g = 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of q**5\/20 - q**4\/2 + 3*q**2\/2 - 170*q. Let j(f) = -f**3 + 5*f**2 + 7. Let u be j(5). What are the prime factors of t(u)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/316905 and 97\/3330?\nAnswer: 1901430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/10464 and -47\/6710040?\nAnswer: 26840160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 522*d**2 - 1071*d**2 + 487*d**2.\nAnswer: -62*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 12 + 1879*h.\nAnswer: 1879*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -4, -0.2, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 - 2. Let r(y) = 1398*y**4 + 18*y**2 - 860. Let g(a) = -r(a) - 18*s(a). What is the derivative of g(w) wrt w?\nAnswer: -5592*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67 divided by -11065.\nAnswer: -67\/11065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d - 3. Let j be i(3). Calculate the smallest common multiple of 5 and (0 - 2\/(-4))*j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = 6*p - 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -24\/17 (b) 2\/7 (c) -3\/7 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5\/3)\/((-1)\/3). Let m(b) be the second derivative of b**6\/720 + b**5\/120 - b**4\/6 - 2*b. Let c(f) be the third derivative of m(f). What is c(t)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**2 - 133*a + 133*a. Let b(r) = 26*r**2 - 1. Give g(b(f)).\nAnswer: 1352*f**4 - 104*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 5:26 PM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4405967\/60 + -73430. Calculate the common denominator of 86\/(-8)*(-3 - (-176)\/55) and k.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -69c8 + 72b?\nAnswer: -629b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 0 - (2 - 7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 5355*s - 37. Is y(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 197 - 192. Solve l - 9 = -r*z, 0 = -z - l - 0*l + 1 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 183, 377, 591, 831, 1103, 1413, 1767?\nAnswer: 2171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -255532070267 - 0.4.\nAnswer: -255532070267.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2541 = -5*m + z, m + 0*m = -5*z + 503. Suppose 5*w = -d + 2531, -w - 16*d + m = -14*d. List the prime factors of w.\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d + 32 - 14 - d**3 + d**2 - 20 - d**4 to the form s*d**3 + r*d**2 + m*d + x*d**4 + p and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3028992 = 12*c - 17*c + 2495113. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vcqvcqcviq. Give prob of picking 2 i, 1 c, and 1 q.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kgvwvwvgqiwvkki. Give prob of picking 1 q, 1 w, 1 g, and 1 k.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-8\/7)\/(u*u**(1\/15)) assuming u is positive.\nAnswer: u**(-232\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000162502 to 7 dps.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a**4 - 12*a**2 - 1 + 22*a**2 - a**4 - 19*a**2 - 3*a to the form n + f*a**3 + q*a**2 + s*a + v*a**4 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 255*i + 402. Give x(-3).\nAnswer: -363","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -51c?\nAnswer: -51b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of -w**3 + 316. Let n(u) = 110*u. Determine n(c(l)).\nAnswer: -330*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((90\/(-114))\/5)\/((-33)\/22).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2429, -9713, -21833, -38783, -60557, -87149, -118553, -154763?\nAnswer: -195773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.4 + 3.4. Let i = 3 + 2. Sort i, 2\/9, b in descending order.\nAnswer: i, b, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.9 in -1\/8, -0.2, 9\/2680, 6?\nAnswer: 9\/2680","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 2)\/((-8)\/(-616)*-55)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -5*c**3 - 36*c**2 - 126*c - 1079. Calculate j(-8).\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48113 and 611?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - 1 - (2 + -1). Let g be (2\/(-4))\/(t\/32). Suppose 5*o + 6*p - 15 = p, -g*o + 5*p = -3. Solve 0*j = o*j - 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-52)\/312)\/((-2)\/(-6))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50 (base 6) to base 9.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1420 - -14?\nAnswer: -1405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k - 50. Let m(f) = f - 40. Let q(l) = -4*a(l) + 5*m(l). Let g(r) = -2*r. Calculate q(g(j)).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 660.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 316.4 + -401.4. Which is the nearest to 1\/3? (a) w (b) 3\/4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*u + 136*u + 3*p + 18 = 0, -8 = 4*p for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1449231 to the nearest integer?\nAnswer: 1204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - -89. Let f = -0.02008498038 + 94.02008572038. Let o = p - f. Round o to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 6 (b) -790 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 714.9 rounded to the nearest ten?\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*m**5 + 222*m**4 + 5331*m**3 + 47448*m**2 + 59184*m - 767232 = 0. Calculate m.\nAnswer: -37, -16, -12, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1608 take away -0.02?\nAnswer: 0.1808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 3*a, 0*a + 5*a = -n. Suppose n*x + 135 = 5*x. Suppose -x + 6 = -7*l. Solve -l*v + 5 = 14 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 3*g**2\/7 - 36*g\/7 + 60\/7 = 0.\nAnswer: 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -r**3\/6 - 3*r**2 - 18*r. Let c(m) = -m**3 - 3*m**2 + m - 3. Let y be c(-3). Let j be p(y). Solve u = -j*u + 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -7282, 3, -14, -2 in decreasing order.\nAnswer: 5, 3, -2, -14, -7282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 838556?\nAnswer: 2, 209639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + (171 - (25 + 70))?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 - 18. Suppose 4*c - 3*k - 50 = 0, -k + w*k = -3*c + 29. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6696 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 47*j - 114. Let f be r(4). Suppose -3*s - f = -2600. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2727\/6)\/(-9)*-34 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125 + 78 = -30*v + 23 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 2\/25 (c) -4 (d) -11\/8 (e) 74 (f) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -101233130 (base 4) to base 5\nAnswer: -4311133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 45*i + 20*i + 25*i in the form n + d*i and give d.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 92627741 to the nearest 10000.\nAnswer: 92630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1025*n**3 + 156*n**3 + 10*n**3.\nAnswer: -859*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 836090935 to the power of 1\/2, to the nearest integer?\nAnswer: 28915","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4032\/35 - 3\/15. Suppose h - 2*a - 90 = 3*h, 0 = -4*h - a - 195. Let x = b + h. What are the prime factors of x?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 23, -1, 3 in decreasing order.\nAnswer: 23, 3, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 3, -8 = 2*f + 3*z - 11. Suppose -5*x = 4*j - 45, 2*x + 3*j = j + 18. Let u be 3*2\/(-6) + x. Calculate the highest common factor of f and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -2*f + 10, -29 = 5*n - 4*f - 2. Let p(a) = 38*a + 49. Let h be p(n). Let w = h - -399. What are the prime factors of w?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -263453 divided by 2417\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 13 = -2. Suppose 7*s**5 - 2*s**2 + 4*s**h + 2*s**4 + 0*s**2 - 11*s**3 = 0. What is s?\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30.9 + 30.9. Which is the closest to 1? (a) 0.3 (b) -3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + (3 - 2))\/6. Suppose -1302 = -j - q*j + s, -6505 = -5*j + 4*s. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 634*b + 1061*b - 30510 = 0 for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-60))\/(7\/2)*1.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 5*t**2 - t - 25. Let r(u) = 6*u**2 - u - 24. Let h(x) = 4*r(x) - 3*z(x). Is h(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -q**3 + 719*q**2 - 718*q = 0.\nAnswer: 0, 1, 718","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -75*b**2 - 216*b + 1742. Give s(7).\nAnswer: -3445","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1372 + 1376. What is the nearest to -1\/3 in -3, -5, b?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5, -29, -63, -113, -185?\n\"Answer: -w**3 + w**2 - 20*w + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -2*z + 6, 6*z - 20*l - 46 = -18*l for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1150352 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1497\/83428 equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**2 + 3*b**3 - 32124879*b + 32124879*b - b**2.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sss when three letters picked without replacement from xxxxxxxsxxxsxsx?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 111989 divided by 10\nAnswer: 111989\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -183 (base 14) in base 12?\nAnswer: -21b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - 0 - (-28 + 34 + -3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**5\/2 - 129*b**4 + 4481*b**3\/2 + 150798*b**2 + 1334610*b + 2717712 = 0 for b.\nAnswer: -18, -8, -3, 54, 233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -9 (b) -2 (c) 0.1 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42\/85 - -1\/170. Let t(f) be the second derivative of d*f**5 - 35\/12*f**4 + 10*f**2 - 21*f + 0 + 10\/3*f**3. Find q, given that t(q) = 0.\nAnswer: -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -592 + 588. What is the third biggest value in -2\/9, y, -2, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(26)*-1*1)\/sqrt(2) + 0 + sqrt(1872) + 1)*-6 + 4.\nAnswer: -66*sqrt(13) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2014? (a) -2 (b) 2\/17 (c) -1\/4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*s - 10*s + 0*s + (-1 - 2 - 1)*(-3 + s + 3))*(0 + 5 + 0) to the form h + r*s and give r.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -335 (base 6) to base 13\nAnswer: -a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s**2 - 2*s**2 + 5*s**2.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i**2 + 11*i + 5. What is s(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -25626 - -10?\nAnswer: -25616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 + 2*x**2 + 2*x**2)*(x - 3*x + 0*x) - 4*x**3 + 5 - 5.\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(187) - (sqrt(187) + sqrt(187)*-2)*-6)\/(-4*sqrt(11)*-1).\nAnswer: 15*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b + 11. Let f be (4 - (2 - 0))\/((-15)\/(-90)). Suppose s = 2, -2*y = -4*s - 7 + 3. What is the remainder when d(f) is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - 4*n + 0*n)*(39 - 27 + 13 + 9 + 0 - 1 + (-2 - 4 + 4)*(2 + 2 - 2) - 1 - 2 + 2 - 1 + 3 - 3).\nAnswer: -27*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = 5*u - 1, -18*d + 15*d = -8*u - 5 - 9 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*4*sqrt(33))\/(sqrt(704) + -4*sqrt(704) + sqrt(704)).\nAnswer: 5*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5827 is divided by 243.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 270 + -272. Let n be (1 - 15\/(-3)) + 0. Let q(o) = -o**3 + 7*o**2 - 7*o + 3. Let j be q(n). Which is greater: t or j?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1*-1*sqrt(3) + sqrt(3)).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 79 + -72. Suppose -h*u - 9 = -37. Suppose 0 = 3*p + 4*n - 5687, 5642 = -u*p + 7*p - 5*n. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 236*i = -242*i + 1167 + 4569 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -20*i**2 - 78*i + 8. Suppose -4*t - 54 = -4*w - 78, -3*t + 22 = -4*w. What is p(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 + -10. What is the greatest common factor of 1 and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24836.\nAnswer: 2, 7, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1588, 3176, 4768, 6364, 7964, 9568?\n\"Answer: 2*m**2 + 1582*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9308 is divided by 1071.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93\/2 + (-10)\/20?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 41597 and 0.2?\nAnswer: 8319.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 - 145?\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 20 = f, -451 = -2*n - 3*f. List the prime factors of n.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3))**(-17)*c**(11\/2)*c*c**(-12) assuming c is positive.\nAnswer: c**(91\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1728*t**2 + 415*t**3 - 1724*t**2 - 404*t**3 + 3453*t**2.\nAnswer: 11*t**3 + t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 - 269*b - 9941. Determine x(-44).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-12)\/9)\/4*-57. Suppose -5*b + x = 2*i - 4*i, -27 = -3*b - 4*i. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - -4 - 3)*4*-1. What is the tens digit of (-4)\/(m\/(-286))*-1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 134948 and 98144?\nAnswer: 1079584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1619236, -3238482, -4857728, -6476974?\n\"Answer: -1619246*l + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4016555.\nAnswer: 5, 803311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*s**5 + 22*s**3 + 4 + 1776*s - 1781*s + 9 wrt s.\nAnswer: 60*s**3 + 132*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 7:23 PM?\nAnswer: 3:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-4)*1*((-38700)\/(-86))\/45.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-1)\/c)**9\/(c*(c**(2\/3)*c)\/c)**(-27))**(-10\/3))**(-47) assuming c is positive.\nAnswer: c**4230","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y, 1 r, and 1 a when four letters picked without replacement from {y: 5, q: 3, a: 2, n: 6, r: 2}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -9*t + 6. Let s be o(-5). Let k = s - 17. Let m(r) = r**3 + 5*r**2 - 1. Let b be m(-3). Calculate the greatest common divisor of k and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b**2 - 4*b**2 - 5*b**2 + 7*b**2.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*t - 13 = -2*o - 26*t, 4*o - 3*t - 29 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.11, -1, 96 in ascending order.\nAnswer: -1, 0.11, 96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a milligram in micrograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of 1\/12*d**5 + 41*d**2 + 1\/6*d**3 - 5\/24*d**4 - 1\/120*d**6 - 2*d + 0. Give w(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -455478.001 rounded to the nearest one thousand?\nAnswer: -455000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-105))\/((-14)\/6 - -3).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 676 + -673. Let k(f) be the second derivative of -1\/75*f**6 - 1\/25*f**5 - 8*f + 1\/105*f**7 + 0 + 0*f**4 + 0*f**p + 0*f**2. Find j, given that k(j) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -48862163.7 and 2?\nAnswer: -97724327.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -550345695434 + 6?\nAnswer: -550345695428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -176322 smaller than -176622?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 146332034 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23443 = 4107*v + 11707 + 18241 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of -u**6\/6 + 7*u**3 - 17*u**2\/2 - 2*u - 30. Find the second derivative of n(t) wrt t.\nAnswer: -20*t**3 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/9 - 184*n**2\/9 + 89915*n\/9 + 2040850.\nAnswer: -(n - 306)*(n + 245)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 535 - 338. Let j = 187 - w. What is the closest to 0.1 in -3, 1, j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 1161 = -42. Suppose -24*i + w = -23*i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-6 + -3) - -5 - 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + l + 3)*(l - 14*l - 23*l) + l**2 - 3*l**2 + 3*l**2 + (5*l - 3*l - 3*l)*(-2*l - 5*l + 5*l).\nAnswer: -33*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 20 = -x. Let q be (-5 - -3)*x\/4. Is (1\/2)\/(q\/210) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.0072, -1, -2\/9, -3\/10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/10829778 and -91\/256304746.\nAnswer: 768914238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7.5373 - -0.6157. Let m = -0.147 - n. What is m rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8989 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-2\/19)*a*a)\/(a**(3\/4)\/a))\/(a**(2\/9))**(-2\/7))**(-40) assuming a is positive.\nAnswer: a**(-105730\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 1946 = -504. List the prime factors of f.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.12, -3, 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.82859 take away 0.044?\nAnswer: -1.87259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from klklseeleekss. Give prob of picking 1 l and 1 k.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 17*x**2 - 9*x + 5. Let r = 206 + -197. Let m(c) = -4*c**2 + 2*c - 1. Determine r*m(z) + 2*s(z).\nAnswer: -2*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 4*v + 792, -4*s = s - 2*v - 1002. Calculate the common denominator of (-1 + 154\/152)*s and -37\/18.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*b + 189 = -360 + 54 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - 26. Let u = 13 - n. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1068101*s**5 + 250*s**2 - 2*s - 2324 wrt s?\nAnswer: -64086060*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 12598*g - 10. Let z be i(1). Let q be ((-2)\/((-8)\/12))\/((-728)\/z). Let j = q + 783\/13. What is the common denominator of 81\/34 and j?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 628370334 a multiple of 222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 - 0. Let y = 136.9 + -148.9. Which is the nearest to y? (a) m (b) 3\/2 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 4*k**2 - 7*k - 6. Let y be i(-6). Let b be (-5 + 1)*y\/(-16). Suppose -14 = m - 4. Is b smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**4 - 5*d**4 - 23*d**2 + 2*d**4)*(-4 + 3 - 1 + (-1 + 3 + 0)*(-5 + 1 + 1)).\nAnswer: 8*d**4 + 184*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7496?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**2 - 79399299*h + 158798602 = 0. What is h?\nAnswer: -79399301, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f**(5\/4)\/f))**16\/(f**(2\/13)*f**(-17)\/f) assuming f is positive.\nAnswer: f**(180\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -4*c + 125. Does 20 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010011011 - -1?\nAnswer: -10010011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 + 0 = 6*i. Suppose -i*l = -72 - 53. Sort -1, -3, l, 48 in descending order.\nAnswer: 48, l, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 397519051?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 62707341?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**3 + 9*b**3 - 3*b**3.\nAnswer: 7*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61322041.\nAnswer: 11, 5574731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 49 - 19 = -4*s, -4*s - 5*k + 66 = 0. Which is greater: 13 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3937? (a) -0.4 (b) 19 (c) -0.1 (d) -200\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a tonne in kilograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 392207 and 25177.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4584 - -9823. Is p a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1290, 2521, 3706, 4845, 5938, 6985?\nAnswer: 7986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 4*f**3 + 7*f**2 + 7*f + 10. Let r(b) = -b**3 - 2*b**2 - 2*b - 3. Let s be (6\/(-18))\/(2\/24). Determine s*q(v) - 14*r(v).\nAnswer: -2*v**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -112532281683 - -0.96?\nAnswer: -112532281682.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 870 and 3828?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**9)\/((s\/(s*s**3*s))\/s) assuming s is positive.\nAnswer: s**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 - 18. Let j(p) = -p**2 + 7*p + 4. Let w be j(o). Suppose 0*v + 2*v = w. Solve 0 = v*b + b - 15 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/34, 0.3, 0.2 in ascending order.\nAnswer: 3\/34, 0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2903.9 rounded to the nearest 100?\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15525625247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -69*f**2 - f*o + 2*o + 53 wrt f?\nAnswer: -138*f - o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 3*p = -2*y, -2*y - 4 = 3*p. Suppose 12 = -y*d, 3*d = 3*x + 2*d - 21. Let m(q) = -4*q**3 - 6*q**2 - 4*q + 3 + 0*q + 5*q**3. Give m(x).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42*u - 1460*u - 1 - 1139*u + 454*u to the form v + a*u and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from orrrcocouoc. Give prob of sequence cr.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of -p**5\/60 + 7*p**4\/24 - 13*p**3\/6 + 2*p**2. Let t be b(6). Let s(f) = -2*f - 3. Determine s(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 1388 + 657 = 0. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(76) + (sqrt(76) - (5*((-2*sqrt(76) - sqrt(76)) + sqrt(76) + sqrt(76)) - sqrt(76))) + sqrt(76))\/(sqrt(484)*-1)*5.\nAnswer: -45*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -100.2 - -53.4. Let x = t - -51.2. Round x to 1 dp.\nAnswer: 4.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/6 - (-60)\/9. Suppose 20 = u*j - 2*j. Suppose j = 3*l - 14. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/(-10))\/((-1)\/5). Determine w, given that -10*w**3 + 22*w**o - 2*w**4 - w**5 - 13*w**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 6*r = r. Solve h - 4*g + 2*g - 3 = 0, r = -h + g + 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilometer in centimeters?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.945 take away -29.1999553?\nAnswer: 27.2549553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 3 - (137 + -170) - -11.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 49 - 75)*(-6*z**3 - 2*z**3 - 3*z**3) + (-1 + 2 - 3)*(3 - 3 - 3*z**3) + 4*z**3 - 5*z**3 + 3*z**3 in the form q*z**2 + h + a*z**3 + t*z and give a.\nAnswer: 1405","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -1688658*i + 51. Let w be y(10). Suppose -2*r + 2*s + 47573060 = -4*r, -3*s - 3 = 0. Let z = w - r. What is z rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*n**3 + 6*n**3 - n**3)*(0 - 1 + 3) - 5*n**3 + 36888 - 16*n - n**2 - 36883 - n**2 to the form y*n**3 + k*n + r*n**2 + m and give k.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6005 = u - 6*u - 5*x, u - 1201 = -4*x. List the prime factors of u.\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -115*f**3*i**2 - 28*f**2*h*i**3 - 14*f*h*i**3 + 2*f*i**3 + 2*h*i + 182*i**3 wrt f?\nAnswer: -690*f*i**2 - 56*h*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 167 a factor of 239514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 57977476\/7 or 8282496?\nAnswer: 8282496","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**3 - 393*y**2 + 6672*y + 14892 = 0. Calculate y.\nAnswer: -146, -2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3296)\/(-14420))\/(32\/120*(18\/4)\/3)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5*(-19)\/(-38))\/((-50)\/36)*30\/(-3).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**2 - 6*m**2 + 38*m + 25*m**2 + 15*m - 17*m**2 to the form f + c*m + v*m**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence goww when four letters picked without replacement from {o: 2, a: 3, w: 4, g: 2}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*j + 5*j - 2*w + 10, 5*w - 25 = 3*j. Suppose j = 75*q - 68*q - 21. Factor 0 - 1\/2*g**2 + q*g.\nAnswer: -g*(g - 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549843 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.026 times 0.5?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + 10*g**2 + 3*g - 2. Let s be p(-6). Suppose 5*v - 256 = s. Find the third derivative of -11*u**4 + 37*u**4 - 109*u**2 + v*u**2 wrt u.\nAnswer: 624*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22 and 49\/6559173.\nAnswer: 6559173","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 0 - 3*q + 1 + q**3 + 7*q**2 + 1. What is the units digit of f(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 26397214?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -4*l - 3*u - 12, 2*l + 5*u = -20. Let v = l - 4. Let m(x) = -2*x**2 - 4 + 2*x**2 + x**2 + 3*x. Calculate m(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 0*k - 3*k, -3*k = -a + 16. Suppose -6 = -a*d + 2*d. Suppose d*c + 54 = 6*c. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8988797113 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (1444\/(-558) - (-7 - -4)) + 10792\/(-24282)?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8517, -8650, -8783, -8916?\nAnswer: -9049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 bigger than -395?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002222 rounded to four decimal places?\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - 0. Let m(c) = -c + 20. Let i be m(13). Let q = r + i. What is the smallest common multiple of q and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/44*15*(-1332)\/(-999)?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 124 = -2*m, -m - 62 = -21*l + 19*l. Let j = -57 - m. What is the third biggest value in 0.5, 10, j?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fourty-three quarters of a milligram?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + 4*j**2 + 5*j + 2. Let v be p(-4). Let i = 22 + v. Solve 5*o = -3*h - 0*h, 2*h = i*o for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7296 + -14323. Which is bigger: 0 or g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1*d)**(-11\/7)\/(d**(2\/3)\/d**(-3\/2)) assuming d is positive.\nAnswer: d**(-223\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 99971 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*q + q. Let r(t) = 4*t**3 - 3 + q - t**3. What are the prime factors of r(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + g + 6 = 16, 0 = 3*f - 3*g - 30. Suppose 10*b - f*b - 2*q = -3, -11 = b - 3*q. Differentiate 15*x**2 + 0*x**2 + b + 3 with respect to x.\nAnswer: 30*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 990.1565 centuries?\nAnswer: 99.01565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(204) - sqrt(204)*-2)*5)\/(sqrt(72)\/(sqrt(6)*2 - sqrt(6))).\nAnswer: 4 + 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3376*h**3 + h**2 - 3*h + 259 wrt h?\nAnswer: 20256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 3*k**3 + 7*k**2 + 8*k - 2. Suppose -c = 4 - 0. Let f(q) = -2*q**3 - 6*q**2 - 7*q + 1. Let x(h) = c*f(h) - 3*w(h). What are the prime factors of x(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11458 to the nearest one hundred.\nAnswer: -11500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, k: 1, n: 1}. What is prob of picking 1 n and 2 a?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 4*m + 76, -r + 35 = -3*m - 2*m. Solve -2*o - 2*y = -4*y - 10, -3*y = -2*o + r for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -514 times 20?\nAnswer: -10280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.8 - 0.6. Let j = -274 - -282. Let g(n) = -2*n**2 + 26*n - 81. Let h be g(j). What is the nearest to c in h, -0.3, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 45 = -4*g, 2*g = -c + 4*c - 25 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1779534546 a multiple of 4957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 5*h + 15, -3*s + 12 = h - 5*h. What is the smallest common multiple of 17 + (h - 4) + 5*1 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 89175 to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 9) in base 8?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*q - 2*q. Let y = 0 - 0. Suppose -4*j + 8 + y = 0. Solve -a - 2*g - 3 = j*a, 5*a = q*g + 17 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 3\/7, -1.261, 2, 0.3, -4 in decreasing order.\nAnswer: 2, 3\/7, 0.3, -1.261, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 2*m = -287, 4*z + 63 = -m - 169. Let j = z - -49. Let d = j + 16. Solve -2*l = -d*l - 20 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/(-60) - (2\/36)\/((-20)\/(-132)). Which is the closest to 9? (a) -3 (b) m (c) -5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2950805?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 677532511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 243323 (base 9) to base 14.\nAnswer: 3b6d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-15))\/((-4)\/(-4)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -13862.394 rounded to the nearest ten?\nAnswer: -13860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -208233.753914 - -208234. What is v rounded to two decimal places?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8795*c**2*g**2 - 790*c**2 + 4*c*g**2 - 17*c*g - 2*c - 13*g**2 + 2*g - 2 wrt c?\nAnswer: -17590*g**2 - 1580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6638?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 87776 and 3922068.\nAnswer: 407895072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -15211 from 64.\nAnswer: 15275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-75)\/(-110) - (72\/33 - 2)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)\/((sqrt(5) - (-2*sqrt(5) + sqrt(5))) + sqrt(5)) - (sqrt(38) + sqrt(456)\/(-2*sqrt(12)) + sqrt(38)))\/((sqrt(36)\/(sqrt(27) + sqrt(3)))\/sqrt(6)).\nAnswer: -14*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*d + 164364 + 2206236 = 0. What is d rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of -c**7\/630 - c**6\/120 + c**5\/36 + c**4\/24 - 2*c**3\/9 - 5*c**2. What is z in b(z) = 0?\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -20413.\nAnswer: -20413, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -248 - -361. Let d = k - 113.021. What is d rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 7:11 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 - 7*t - 5. Let j be s(-7). Let i = j - -1. Let g = 3 - i. Does 7 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate d*p + 248482*d - 18334*p**2 with respect to p.\nAnswer: d - 36668*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 18.82, -2, 2\/29?\nAnswer: 18.82","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**2 - 9*l - 15. Let q be k(-3). Put q, -4, -2 in descending order.\nAnswer: -2, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15222*w - 30589*w = -15284*w - 2241 for w.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2182479680 to the nearest integer?\nAnswer: 1297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qe when two letters picked without replacement from qestwewststi?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 - 12*a - 5. Let r be z(-9). Let w = r - 14. Let f(j) = -j**3 + 8*j**2 + 4. Calculate f(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pl when two letters picked without replacement from {p: 5, l: 2}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 3:16 PM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-20668)\/(-24))\/((-6)\/(-36)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5\/3 (b) -3\/2 (c) -1\/6 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18.021 + -18.1. What is n rounded to two dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28061646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 968316367.\nAnswer: 23417, 41351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1978 and 5246?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(2\/137)\/(m\/((m**(-1\/2)\/m)\/m)*m) assuming m is positive.\nAnswer: m**(-1229\/274)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.2 (b) 20 (c) 0.01 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46 - 48. Let t(f) = -f**2 + 4*f + 1. Let x be t(3). Let v = x + -2. Which is the closest to -1? (a) v (b) -0.5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59493469697 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -1311*f - 2. Let k(s) = -2634*s - 4. Give 9*i(l) - 4*k(l).\nAnswer: -1263*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17251 is divided by 5698?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4604759698.6 + -28.\nAnswer: 4604759670.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 24*j**2 - 8*j + 45. Is p(-11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)\/(sqrt(4)*2))\/(sqrt(12)*-3*-2).\nAnswer: sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 106*(-10)\/8*(-6)\/15. Let s be 21\/56 + b\/8. Are 8 and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 + 5*p + 13. What is n(8)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -8 + (-3 - -13).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -3*f + d, 2*d = 5*f + 4*d + 18 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 6:44 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3*y - 2*y = -6, 5*z - 18 = 4*y. Suppose -z*w - w - 1900 = -n, -2*n = -5*w - 3797. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21040421 - -2?\nAnswer: 21040423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a**2 + 6*a - 6. Let i(z) = -z + 1. Give 12*i(k) + 2*j(k).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 17*w**2 + 5*w - 74. Calculate the least common multiple of 189 and i(17).\nAnswer: 2079","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (9 + -3 - (8 - 4))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.08 - 3.08. What is the nearest to v in 0, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 7. Suppose 3*z = j*c - 3, -3*c + 5*z - 2*z = -6. Put c, 3\/7, 4 in descending order.\nAnswer: 4, 3\/7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 527 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -845000*o**2\/3 - 18200*o\/3 - 98\/3.\nAnswer: -2*(650*o + 7)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9 - -683a?\nAnswer: 6843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/10*70\/(-28)*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + (-1 - (3 - 11))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 238 a factor of 733196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32269 = 5*i - 3746. Let q = i + -3203. What is q rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-365)\/75) + (-22)\/(-165).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -17860, -35740, -53618, -71494, -89368, -107240?\n\"Answer: s**2 - 17883*s + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, n: 1, b: 1, v: 1, o: 1, j: 1}. Give prob of sequence avv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(4\/6*8\/48). Let c = 14 + -6. What is the smallest common multiple of (-3)\/v + 68\/12 and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3140000 to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 + -3)\/(-2 - -1). Solve 2*l + 7 = -4*t - 15, 4*l - 2*t + 4 = p for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0291941091 + 29.\nAnswer: 28.9708058909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of u**6\/120 + u**5\/60 - u**4\/24 + 4*u**3\/3 + u**2. Let d(f) = f + 4. Let l be d(0). Suppose 0*m + l*m = 0. Give r(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -5*i**6\/3 + i**5 + 5*i**4\/2 - 5*i**3\/3 + 12. Suppose g(q) = 0. What is q?\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 5 = -4*w, 4*d + w - 3*w - 20 = 0. What is the remainder when 9 is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 10. Let c be (p\/4)\/(6\/(-8)). Suppose -7 = -c*d - 1. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 1:47 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 18597 (base 11) to base 5\nAnswer: 1313000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 535671\/7 (b) -1\/6 (c) 0.5 (d) -0.29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3*r - 5. Let b(y) = -y + 2. Let a(j) = 8*b(j) + 3*i(j). Let m = 38 + -34. Let s(h) = -5*h - 6. Give m*a(z) + s(z).\nAnswer: -z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 0.061?\nAnswer: 2.939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.5 - -0.026.\nAnswer: -2.474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1632159 is divided by 509?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 20*m**2 + 120*m + 292. Let t(r) = -13*r**2 - 80*r - 195. Let a(y) = 5*q(y) + 8*t(y). Let a(x) = 0. Calculate x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*k = 37*k + 60 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -475 - -1211. What is the remainder when i is divided by 74?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11106433567771 take away 2?\nAnswer: 11106433567769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-17 + 3 - -5) + 5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*j = 92*j + 432. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2804*g + 2762*g = -974 - 958 for g.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1702 divided by 2\nAnswer: 851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in 7, 5\/8, -1?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -75561, -75550, -75535, -75516?\nAnswer: -75493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2357*w**5 - w**3 - 2863*w wrt w.\nAnswer: 47140*w**3 - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.30041 - 16989\nAnswer: -16989.30041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*b = -23*b + 30 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -51 - 16. Let z be x\/(-3) + 3\/(-9). Let t = 38 - z. What is the highest common divisor of 24 and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -6*x + x. Let r(f) = 4*f**3 + 0 - 3*f**3 - f + 2 - 1 + f**x. Let i = -8 + 5. Let z(w) = -4*w**3 - 3*w**2 + 3*w - 3. What is i*r(h) - z(h)?\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1527089*b**5 + b**4 - 6310756*b wrt b.\nAnswer: 30541780*b**3 + 12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3660.15 centuries?\nAnswer: 4392180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = 20, -145*v - p - 5 = -144*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112012 is divided by 4514?\nAnswer: 3676","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10746*c - 2 + 2 - 5389*c - 5263*c.\nAnswer: 94*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - 5.2. Let h = 22 - 8. Let i = j + h. What is i rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 247548\/70 + (8\/5 - 2). What is the hundreds digit of 5\/15 + s\/12 + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 550 < 0.1785?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 477714?\nAnswer: 2, 3, 103, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 1. Let y = -18.89 - -19. Let m = 0.09 + y. Sort m, f, 5 in ascending order.\nAnswer: f, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -36866*u - 184300. Let j be v(-5). Suppose 270 = -0*h + 5*h. What is the greatest common divisor of j and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {k: 6, l: 1, s: 6, h: 1, o: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7433619258179 - 7433619328961.03700031. Let o = s - -70781.387. Let f = -0.65 - o. What is f rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1374*s + 69*s**2 + 686*s + 686*s + 32 wrt s.\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20 - 10) + 13 + -25 - (-35 + -1).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22\/9, 3, -692.\nAnswer: -692, 22\/9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**16\/(p\/(p**6*p)) assuming p is positive.\nAnswer: p**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 - 4*z - 1. Let c be k(-3). Suppose c*b = 304 - 66. What is the remainder when b is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1*-1*(-8 - 2) and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 55380 and 1170.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (22\/(-3) - -6)*-3. What are the prime factors of (-10 - -8)\/(a\/(-514))?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p\/(p*(p*p**(-2\/35))\/p*p))*p**(1\/30)*(p\/((p*p*(p\/p**(-2))\/p)\/p))**50 assuming p is positive.\nAnswer: p**(-4117\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r. Let k(c) = -18*c**2 - 29116. What is t(k(z))?\nAnswer: -36*z**2 - 58232","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/1)\/(3861\/(1573\/(-11))).\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33 and 7430313?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.07252 + -11.07252. What is the closest to 2\/5 in g, 0.1, 3.52?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33551 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -697\nAnswer: -3\/697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) -2\/19 (c) -18 (d) 3\/112\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.62258 to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 125859\/29 + -1726207\/522. Let n = -1039 + z. Calculate the common denominator of n and (10\/(-12))\/(5\/((-45)\/6)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - ((-23 - -6) + (-30 - -19)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p - 10. Let n = 4 - 3. Let v = -36 - -33. Let h(m) = 4. Let l(g) = 1. Let z(q) = v*l(q) + h(q). Give n*k(a) + 8*z(a).\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 34*v**2 + 810*v + 624. Give z(-26).\nAnswer: 2548","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -6*-0.370231\nAnswer: 2.221386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2 + -0.1. Let z = 1.5 + -5.5. Sort -3, r, z, -3\/4.\nAnswer: z, -3, -3\/4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 27\/218 or 0?\nAnswer: 27\/218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (952*p**4 - 62 - 316 + p - 950*p**4)*(-p - 3*p + 5*p).\nAnswer: 2*p**5 + p**2 - 378*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100187\/(-1254) + 80 + 1\/6.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/(-6) - 15\/(-18))*(-170)\/(-119). Factor -2\/21*r**3 - 8\/21*r + 0 + a*r**2.\nAnswer: -2*r*(r - 4)*(r - 1)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 430 - 294. Let -j**3 - a - 76*j + 18*j**2 + 3*j**3 + 182*j**2 + 10*j**3 = 0. What is j?\nAnswer: -17, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/4776 and 89\/48?\nAnswer: 9552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -155, -578, -1253, -2180, -3359?\nAnswer: -4790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f**4 + 0*f**4 - 2*f**5 + (5*f**2 - 2*f**2 + f**2)*(1 - 1 - 4*f**3) + (-2*f - 1 + 1)*(-2*f**4 - f**4 + 5*f**4).\nAnswer: -22*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3552.822ms to weeks.\nAnswer: 0.000005874375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 471652 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-316)\/198*368\/(-736) and 43\/57.\nAnswer: 1881","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**8*p*p\/(p\/(p**(5\/9)*p)))\/(p**(12\/5)\/p**(1\/25)) assuming p is positive.\nAnswer: p**(2069\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3594 (base 11) in base 6?\nAnswer: -33433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 59 - -1589. What is the hundreds digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -25*j - 1. Let g(h) = -5*h - 44. Let i be g(-10). Suppose 4*s = -q - 3, 2*s - i*s = 2*q + 2. Determine v(s).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -15, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of 2*i**6\/45 - 2*i**5\/15 - 5*i**4\/24 + 25*i**3\/18 - 68*i**2 + 2. Factor x(k).\nAnswer: (k + 1)*(4*k - 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 24731?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*n - 4*x = 68*n - 137*n + 22, 0 = -3*n + 13*x + 46 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 4672 divide 596510248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -43 or -221\/5?\nAnswer: -221\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + 14. Suppose -2*r + h + 5 = 0. Solve 14 = 5*d - r for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100010 + 11010110001010000?\nAnswer: 11010110001110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 47876193 to the nearest integer?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 406814 to the power of 1\/2, to the nearest integer?\nAnswer: 638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 93\/(-168) - 2\/(-16)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 2*d + 2 + 4)*(-8*d**2 - 4*d**2 + 4*d**2) in the form k + n*d + b*d**2 + a*d**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41\/2212 - -42621\/57512. What is the common denominator of 121\/24 and l?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1729 is divided by 1564?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2 + (sqrt(500) - 3*(2 + sqrt(500)) - sqrt(500) - 5*sqrt(500)*-5)**2).\nAnswer: -726114 + 7920*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 f when two letters picked without replacement from {r: 7, w: 1, f: 2, s: 3, l: 4}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12971 + 12971.01926. Round s to three decimal places.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 3*q**3 + 112*q**2 - 85*q + 15012. Give g(-41).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.3 in -1, -2, 0.4, 4\/5, 3, -4744?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of -7*f**6\/40 - f**5\/60 + f**3\/6 - 24*f**2 + f - 58. Let s(j) be the first derivative of a(j). What is s(-1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-172)\/344)\/((-3)\/10). Determine b so that t*b**4 - 2\/3 - 7\/3*b - b**2 + 7\/3*b**3 = 0.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -3094?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 - 29*s**2 + 32*s + 128. Calculate q(-30).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -173*p + 28*p**2 + 173*p.\nAnswer: 28*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -105, -113, -125, -141?\n\"Answer: -2*c**2 - 2*c - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 1 = -3*d + 4, 0 = 5*j - d + 1. Suppose j*w - 6 = -3*w. Is 3 a factor of (-3)\/12*w + (-158)\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 5*g - 47, 30 = 3*h + g + 3. Let n = -93 - -98. Calculate the lowest common multiple of h and n.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -1, 23, 67, 137?\nAnswer: 239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 13 = -2*l, -3*n + l = 2*l - 19. Let b be (-4 - -3)\/((-7)\/63). Suppose -w = w - b*w. Solve -3*s - 5*v = -26, -3*s + 5*v + n - 19 = w for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33523 * -0.828\nAnswer: -27757.044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*x + 35*x - 561582 = 0. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 823*q**3 + q**2 + 3*q. Let x(k) = -411*k**3 - k**2 - 2*k. Let r(c) = -3*a(c) - 5*x(c). Is r(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of u**7\/189 + u**6\/15 + 29*u**5\/90 + 13*u**4\/18 + 2*u**3\/3 - 21*u. Find p such that b(p) = 0.\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**4 - 424*a**3 - 1260*a**2 - 1256*a - 418.\nAnswer: -2*(a + 1)**3*(a + 209)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 6 = 3*n. Let p be 0 + 0 - n - 19. Let f = p - -36. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.235 - 3.4. Let h = 107.165 + g. Let m = h - 107.00000227. Round m to 7 decimal places.\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1171*s = -78*s - 3037 - 33032 for s.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 3)*(0*u**3 - u**3 + 3*u**3) + (-2 + 0 - 1)*(-499*u + 499*u - 33*u**2)*(13*u + 2*u + 2*u).\nAnswer: 1687*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -131*m + m**3 + 131*m + 46*m**2 to the form x*m + j + b*m**3 + r*m**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.7 + 6. Let t = 2.7 + q. Which is the nearest to t? (a) -2\/9 (b) 4 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*p**3 + 56*p**3 + 13*p**3 + p**2.\nAnswer: p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0288 to 3 dps.\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 10*a - 11*a. Suppose -a*j = 5*f + 2*j - 700, 2*f - 282 = -4*j. What are the prime factors of f?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 12 = -2*q, 247*h - 249*h - 10 = -3*q. What is the nearest to q in 2, 0.1, -1, 38?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9842 - 0.3?\nAnswer: 9841.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 2*u**4\/5 - 4*u**3\/5 - 8*u**2\/5 + 16*u\/5 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -78*s**2 + 5*s + 5. Let t(j) = 79*j**2 - 6*j - 6. Determine -6*m(o) - 5*t(o).\nAnswer: 73*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 3, 1, -3, -9, -17, -27?\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -2*p**2\/3 + 179308*p + 4841802 = 0.\nAnswer: -27, 268989","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 94 - 71. What is the remainder when y is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 3010151.\nAnswer: -3\/3010151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 1593744?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-31)\/496*-24*14\/(-483)?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/72990316 and 31\/37996?\nAnswer: 72990316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*q - 1)*(q - 5 + 5)*(0*q**2 + q**2 - 2*q**2) - 2*q**4 + 4*q**4 - q**4.\nAnswer: 3*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 55*i**2 - 55*i + 47. Let m be l(54). Let k(f) = -4*f - 4 + f**2 + 6*f + 5*f. Determine k(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53259574897 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 0*m. Let g = -0.1 - -0.06. Let x = g - 0.46. What is the nearest to -2\/5 in x, 5, m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-60)*((-18525)\/78)\/(-19).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffffcff. What is prob of sequence fffc?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2102 - 13?\nAnswer: -2121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1842387?\nAnswer: 3, 614129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 6*c = -8. Calculate the remainder when 71 is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 16\/(-42) - ((-180)\/(-42) - 4). Let i be 8\/(-14) - (-27)\/84. Let h = -2 + 2. What is the closest to p in h, i, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*d**5 - 480*d**4 + 12021*d**3\/2 + 723*d**2\/2 - 8769*d\/2 - 3003\/2 = 0. Calculate d.\nAnswer: -91, -1\/2, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-12)\/(-18))\/(1\/75). Suppose -3*y - 47 = -x. Solve -2*t - y - 7 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 5*x + 33 = 3, -x + 5 = 0. Which is bigger: d or -1\/20?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.88129 to three decimal places.\nAnswer: -0.881","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 11 - 3 - 2*z**2 + z**2. Let n be i(0). Suppose 3*t - n*t = -25. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -8474, 1076, 16992, 39274?\n\"Answer: 3183*j**2 + j - 11658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 30 = -2*t, -2*t + 0 + 5 = 3*b. Let g = -7 - t. Suppose -5*z - 8 = 7. Which is smaller: z or g?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13161032?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -401 + 583. Let d = -341\/2 + x. Calculate the common denominator of -39 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 4)*(-3 + 11*g - 13*g - 4).\nAnswer: -2*g - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -27968?\nAnswer: -1\/27968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 696908?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*l + 10*l + 12*l)*(-2*l - 2 + l + 3)*(2*l**2 + 0*l**2 + 0*l**2)*(-2*l + l + 2*l).\nAnswer: -58*l**5 + 58*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18856094 divided by -32623.\nAnswer: -578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23511322 (base 6) to base 16.\nAnswer: b4c02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i + 10. Let k be t(8). What is the third derivative of k*b**2 - 6*b**2 + b**2 - b**4 wrt b?\nAnswer: -24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/15113 + 392960\/166243. What is the common denominator of c and 91\/1826?\nAnswer: 1826","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 12. Suppose x*u - 1 - 3 = 0. Solve i - 4*w = u, 4*i + 13 = -2*w - 3*w for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ld when two letters picked without replacement from {r: 2, d: 6, l: 4}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9643 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/(-25))\/(388\/(-485))?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*r + 12 = -17*r. Let s(w) = -2*w + w**r + 293 - 289 - 2*w. What is the tens digit of s(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -3*t - 4*z, -3*t - 2*t + 2*z + 8 = 0. Let k = 0 - t. Solve 0*s - 3*s = 0, k = -3*p - 2*s - 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 377 and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1278 is divided by 637.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q - q - 2*q)*(-2*q**2 + 2*q**2 + q**3) - 2*q**4 + 2*q**4 + 2*q**4 - 3*q**4 + 5*q**4 + 0*q**4 - 3*q**4 - q + 3*q**4 + 2*q**4.\nAnswer: q**4 - q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.49 times 1.7?\nAnswer: 12.733","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -238 - -338. Suppose 4*r - 24 = 3*p + 141, -3*p + 8*r - 177 = 0. Let y = p + s. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = a - 42, 3*n + 189 = -9*a + 204 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*((-18)\/(-4))\/(-3). Suppose 10 = f*a - 5. Let w be 6\/21 - 60\/14. Sort a, 4, w in ascending order.\nAnswer: w, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + i**2 - 3. Let j = 34 - -24. Let x = j - 61. Calculate the remainder when d(x) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(0 + (sqrt(200) - (-5 + (sqrt(200) - (sqrt(200) + -2)))) + 1 + (-1 + sqrt(200) + -2 - (sqrt(200) + (sqrt(200) + -1 - sqrt(200)) + 0))*-1)**2.\nAnswer: 480*sqrt(2) + 944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 PM and 10:19 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v = 35*v - 64923. List the prime factors of v.\nAnswer: 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1803774039 to the power of 1\/6, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3\/5 - 6*y**2 - 54*y\/5 + 486\/5.\nAnswer: -2*(y - 3)*(y + 9)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) + (sqrt(396) + 2 - sqrt(396) - sqrt(396)))*6*-6 - ((sqrt(891) + 1*sqrt(891))*-1*-3)**2.\nAnswer: -32148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 395932339 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b - 33. Let g(a) = 30*a - 528. Let o(i) = -2*g(i) + 33*n(i). Let s be o(6). Suppose 12 = 5*k - k. Is k > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/24*1\/(26\/(-2))*1.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -390*y**4 - 3 + 391*y**4 + 5 - 2*y**3 - 2*y**2 in the form p + a*y**4 + u*y**3 + d*y**2 + l*y and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of -83*w**6\/6 + 53*w**4\/3 - 2*w + 104. What is the third derivative of k(j) wrt j?\nAnswer: -9960*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 35*f**2 - 1. Let c be o(-2). Suppose c = q - 115. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 582220 and 13745.\nAnswer: 1600522780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ymwr when four letters picked without replacement from pmrmmmoyooroyw?\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + m + 0*m)*(3*m + 2*m - 2*m) - 3*m**2 + 4*m**2 + 0 + 1 + 2*m.\nAnswer: 4*m**2 + 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 4*d = -20, 3*a = 158*d - 162*d + 30 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 + w**2 - w + 9. Let f be u(3). Calculate the remainder when (-3*5)\/(f\/256) is divided by 36.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cppiupzpiihc. Give prob of picking 1 p and 1 i.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 727936 and 0.3?\nAnswer: 218380.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1083766 and 599754.\nAnswer: 61774662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 2*l = 300. Is l a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/17 (b) -5 (c) -2\/5 (d) -0.7 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + 8*h**2 - 2*h + 15. Let s be c(8). Which is smaller: -3\/104 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of d**7\/14 + 5*d. Factor s(a).\nAnswer: 3*a**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of -h**3\/6 - 4*h**2 - 3963*h. Let s = 8 - 5. Let a be -5 - s*1\/3. Give t(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1.4 (b) -5\/2 (c) 144\/199\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/40 - ((-6)\/(-180)*52 - 1)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 61906 and 185718.\nAnswer: 185718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 2 = -58. Calculate the remainder when v is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -619 - -656. Calculate the highest common divisor of r and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.124 - 0.376. What is the closest to -1 in y, 1, 0.3, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 200197*b**4 - 17*b**2 + 10444707 with respect to b.\nAnswer: 800788*b**3 - 34*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6804592 or -3?\nAnswer: 6804592","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 69 = 3*t, 4*z + 8*t - 67 = 3*t. Suppose 0 = l + 5*a - 15, z + 42 = 4*l + 3*a. Calculate the remainder when 44 is divided by l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 22726*g - 1 - 3 - 22725*g - 1 + 1 - 2*g**2 as k + s*g + y*g**2 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -0.429761.\nAnswer: -0.0859522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3*f. Let m(t) be the first derivative of -11*t**3 + 3. What is m(o(y))?\nAnswer: -297*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-1\/18))\/q*q**(-4\/9))\/((q**(5\/2)\/q)\/(q**(-1)*q*q)) assuming q is positive.\nAnswer: q**(-8\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 948 is divided by 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l - 1. Let d be m(2). Suppose -12 - 10 = -2*r. Let y = r - d. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8210964731 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1673417 (base 10) in base 15?\nAnswer: 230c62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.7, 93, 40?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.3 times -1044?\nAnswer: 11797.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17990?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 PM and 12:50 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(-3))\/((-16)\/(-60)). Let m(k) = k - 1. Let u(h) be the first derivative of -2 + 3\/2*h**2 - 3*h. Give p*m(x) - u(x).\nAnswer: 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -8793*l - 45815. What is u(-5)?\nAnswer: -1850","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5344727 or 5344737?\nAnswer: 5344737","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16046712, -16046735, -16046758, -16046781, -16046804, -16046827?\nAnswer: -16046850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46561396*w + 4095 = -46561591*w for w.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 67034, 268106, 603218, 1072364, 1675538?\n\"Answer: -r**3 + 67026*r**2 + r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-66) - (-2093886)\/594 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*w - 2*w + 0*w)*(0 + 1 + 1) - w + 0*w + 6*w)*(-1 - 12 + 0)*(-2*w - 2*w + 6*w).\nAnswer: -26*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 7:11 AM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w - 275 + 247 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 247822*s**3 + 2*s**2 - 277075 wrt s.\nAnswer: 1486932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) -5\/9 (b) 0.4 (c) 1\/100836 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 111807821, 223615643, 335423465, 447231287, 559039109?\nAnswer: 670846931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3*z. Let r be j(7). Suppose 0 = -g + 11 + r. Suppose 2*f = o + 23, -5*o = -3*f - 0*o + 38. Calculate the remainder when g is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -457*u**3*x*z**4 + 13*u**3*z - 6*u**2*x*z**2 - 2*u**2*z**4 + 2*u*x*z wrt z?\nAnswer: -10968*u**3*x*z - 48*u**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/15*-9*(-24)\/252.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7\/((-63)\/(-30))*225\/(-125)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 10:38 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**(2\/7))\/m)\/(m*m*(m**(1\/3)\/m)\/m))**(-3\/10) assuming m is positive.\nAnswer: m**(13\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 614 + 1800. What are the prime factors of x?\nAnswer: 2, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 123\/9 + 247\/(-26) + (-1)\/(-2). Factor -2\/3*f**2 + 16\/3 - o*f.\nAnswer: -2*(f - 1)*(f + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 139416531?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -4, 1 in descending order.\nAnswer: 24, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1645 and 32665?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 3:19 PM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of ((-35)\/14)\/((-2)\/20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.06 - 3.94. Let f = 3 - 6. Which is the third biggest value? (a) 3 (b) f (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) + sqrt(72)*1 - sqrt(72))\/(sqrt(864)*1) + -5)*1.\nAnswer: -5 + sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -105 - -108. Which is the biggest value? (a) 1 (b) h (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16168640489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**4 - 2 + 0*w**3 + 0*w**3)*(-1 + 4 + 28) - 881*w**4 + 620*w**4 - 389*w**4 + (0 + 0 + w)*(-4*w**2 + 4*w**2 + w**3) + 0*w**4 - w**4 + 3*w**4.\nAnswer: -709*w**4 - 62","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 782.82472 rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 711, 702, 687, 666?\nAnswer: 639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -99 (b) -3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51, 232, 639, 1122, 1633, 2124, 2547, 2854?\nAnswer: 2997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 - 9. Let b(o) = o - 5. Let r(s) = 5*s - 15. Let v(d) = -3*b(d) + r(d). What is v(x(w))?\nAnswer: 2*w**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 326 + 31 = 0. Let l be (-6)\/(-34)*34\/i. Factor 2\/17*a**2 + l - 4\/17*a.\nAnswer: 2*(a - 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -415428.3 rounded to the nearest one thousand?\nAnswer: -415000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*u + 841 = -16*u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 291*q = -121*q - 227 + 1607 + 1092 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 558 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - 12*a**2 + 36*a + 6. Calculate the remainder when 2309 is divided by o(4).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, k: 5, c: 4, s: 5}. Give prob of picking 2 s, 1 c, and 1 t.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 - 36 + 51 - 53 - 3*o. Let c be y(8). Solve 3*q = i - 9, -c*i = -q - q - 10 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 19\/(-114) - 251\/6. Let j = c + 183\/4. Find the common denominator of 63\/22 and j.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/21? (a) -4\/3 (b) 0.5 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 163633083 to the power of 1\/3, to the nearest integer?\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 927179782 to the power of 1\/3, to the nearest integer?\nAnswer: 975","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, -401412, -3, 5 in descending order.\nAnswer: 5, -3, -34, -401412","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -1296.6171 to the nearest integer.\nAnswer: -1297","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44) - sqrt(176)\/sqrt(4))*-5*-6 - (5 + 5 + (sqrt(11) + -3 + 2)**2).\nAnswer: -22 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*n - 32*n = -300. What is the units digit of (-363)\/(-9) - 50\/n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 13*f**2 - 6*f - 25. What is l(6)?\nAnswer: 407","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235078 is divided by 169.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h**2 + h - h + (3*h + h - 6*h)*(83*h - 45*h + 19*h) + 1 + h**2 - 1 as c*h**2 + m*h + b and give c.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-111*u**3 - 52 + 52)*(5*u - u - 3*u) + (-3*u**2 + 5*u**2 + 0*u**2)*(2*u - 2*u + 2*u**2).\nAnswer: -107*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of -m**3\/3 + 8*m**2 + 3*m + 3. List the prime factors of t(11).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - -9) + 0 + -7?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 899749 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/488108 and 23\/2.\nAnswer: 488108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 472744 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00007446 to five decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7956 and 4067284?\nAnswer: 884","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d8db - -18?\nAnswer: -d8c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.5, -9, 3\/7, -5, 3\/5, -3\/28?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20\/37 - -334\/481. Is l not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -4*p - 3. Suppose 5*u + 10 = 60. Suppose 10*x - u = 5*x. Suppose -14 = -2*f - 4*l, -f + 3*l - 6 = x*f. Let z(y) = y. What is f*b(c) + 2*z(c)?\nAnswer: -2*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 - 34*j**2 + 204*j + 106. Calculate m(26).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*((-3)\/(-2) - -1). Let a(h) = h**3 + 5*h**2 - 3. Let k be a(b). Let w = -4 + 2. Which is smaller: k or w?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = 3*v + v. Solve v = -2*f - 9 - 1, 4*f + 24 = -i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 2*x = -3*x - 21, -k = -2*x - 11. Let t be 2\/30 - 4\/6. Let m = -96 - -96.1. Which is the closest to k? (a) m (b) t (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d**3 + 51817*d - 51817*d.\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 306992 is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -348 - -349. Suppose -r = -4*v + 23. Solve -t + v - 3 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*r**2 + 24*r**4 - 16*r**2 + (-2*r - 3*r + 7*r)*(-4*r**3 - r**3 + 4*r**3) + 10*r**4 + r**4 + 2*r**4 - 5*r + 3*r**4 + 5*r.\nAnswer: 38*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z**2 - 12*z + 3. Let g be r(6). Solve u + g = -2*y - 1, -3*y = 5*u + 20 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - 3 - 0)*2. Let x be (-9)\/(1 + -4) - c. Solve -16 = -x*k + k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -45, 13132, 15.\nAnswer: -45, -5, 15, 13132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.49 - 0.5?\nAnswer: 3.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, -92, -150, -214?\nAnswer: -284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2*15\/(-40))\/((-2)\/(-8)). Solve -c = -2*d + 1 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7167680701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1028425, 2, 68 in ascending order.\nAnswer: 2, 68, 1028425","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) - (1*sqrt(209)*3 - sqrt(209)))\/(3*sqrt(99)).\nAnswer: -sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 1. Let m = 10 + -5. Suppose 0*f = -4*b + 5*f - 15, m*b + 4*f = 12. What is the lowest common multiple of j(b) and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of 31*x**2 + 0*x**3 + 0*x**4 + 232\/5*x**5 - 224 + 0*x. Find the second derivative of z(s) wrt s.\nAnswer: 2784*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -160 + 156. Sort -8, 1, p in descending order.\nAnswer: 1, p, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -25, -4, 31, 80, 143, 220, 311?\n\"Answer: 7*l**2 - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*u - 72109 + 189. Calculate the greatest common divisor of 2552 and u.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13.33043 millimeters to nanometers.\nAnswer: 13330430","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (2 + 1 + -2)*101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 99*g**2 + 14*g - 192. Let x(d) = -54*d**2 - 6*d + 97. Calculate -3*n(f) - 7*x(f).\nAnswer: 81*f**2 - 103","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**2 + 2*i + 51. Let s be -1 - (-4 + 1)\/3. What is the lowest common multiple of 7 and p(s)?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -843*f + 841*f + 0 - 6 - f**2 to q + b*f**2 + v*f and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2*sqrt(343) + 1 - sqrt(343)).\nAnswer: -42*sqrt(7) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 5*x = -36684, 4*q = 4*x + 14508 + 34404. Suppose q = 4*s + 1408. Let c = 314 + s. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 202 - 134. Let k = 162 - f. What are the prime factors of k?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 789717 is divided by 2835?\nAnswer: 1587","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, s: 3}. What is prob of picking 2 s and 2 h?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*c + 36*c + 15 = 0. What is the closest to 1 in 1, c, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -207321, -414625, -621929?\nAnswer: -829233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2911 and 71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, v: 4, z: 2}. What is prob of picking 3 y?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 2*o + 13, 0 = h + o + 4*o + 28. Let p be 2\/h*(-1 + -5). Let s = 16 - p. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22694958?\nAnswer: 2, 3, 11, 13, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -586 + 90 = -16*s. Let y = 430 - 279. Calculate the remainder when y is divided by s.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of -m**5\/40 + 65*m**4\/16 - m**2 + 7*m. Factor k(d).\nAnswer: -3*d*(d - 65)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4 - w**3 - 53*w**2 - 36*w**2 + 65*w - 65*w**2 wrt w?\nAnswer: -6*w - 308","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 5*j = -70, -w - 2 = -5*j - 0. Does 16 divide 292\/6 + w\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -405*r**2 + 37044951*r - 548814.\nAnswer: -3*(r - 91469)*(135*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6678841 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/245 and 64\/9555?\nAnswer: 9555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**6\/p)\/(p*p**12*p*p))**(-3\/23) assuming p is positive.\nAnswer: p**(27\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00323358 rounded to four dps?\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -3*d + 12. Let l be ((-1)\/d)\/(49\/63). Let u be 0 + 12\/7 - 2. Do u and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of 3*x**5\/10 + x**4\/12 + 11*x**3\/6 + 11*x**2\/2 - 1665*x + 2. Calculate u(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*c - 57. Let j be (c\/(-7) + -1)\/(-2). Let r be 8\/1 - (-928)\/(-112). What is the biggest value in r, 0.1, j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2963361?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 + 4*d**2 - 6*d + 17. Determine p(8).\nAnswer: -287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5628 divided by -2814?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9.383 - 0.617. Which is the closest to 14? (a) q (b) -2 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 5*j - 27, 0*j - 3*u = j - 12. Suppose j*s - 5*s = -26. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i**3 + 3*i**2 - 3*i - 1. Let l(o) = -3*o**3 - 2*o**2 + 2*o + 1. Give 3*l(p) + 2*w(p).\nAnswer: -5*p**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17202?\nAnswer: 2, 3, 47, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**2 - 407*b + 6334. What is z(17)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -60, 6, 1, -8 in decreasing order.\nAnswer: 6, 1, -8, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.6 + -3.4. Which is the closest to 1? (a) 3 (b) t (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -378*z + 413*z - 1673 = 137 + 1025 for z.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15.44 - 45.429.\nAnswer: -60.869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 3*b + 5*a - 15, -a = 1. Suppose -b*o**5 + o**5 - 27*o**3 + 174*o**4 - 192*o**4 = 0. What is o?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 70\/15 + 2\/6. Suppose o*a + 32 = 82. Let f = a + 61. List the prime factors of f.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-1200)*30*4\/(-176)\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 0*o - 7*o + 5.\nAnswer: -7*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 975759460?\nAnswer: 2, 5, 13, 3752921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 10:51 PM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23103331021 - -11?\nAnswer: 23103331032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4303, -0.3, 0, -3 in increasing order.\nAnswer: -4303, -3, -0.3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1118730*w**4 - 143707*w**2 wrt w?\nAnswer: -26849520*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*i + 18 = -q - 12, -22 = 3*q - 5*i for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1032 less than -0.06?\nAnswer: -1032.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) -3 (c) -1\/2 (d) 0.5 (e) 80\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -41 - -24. Let f = o + 42. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13946)\/(-2793) + 642\/94374?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -p**4 - 688456*p**3 - 3442262*p**2 - 4819160*p - 2065353 = 0.\nAnswer: -688451, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 13. What is the tens digit of ((-4)\/b)\/((-14)\/609)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22385?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -544121*q**2 - 76352123*q - 2.\nAnswer: -1088242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 7*p - 53. Solve q - 5*l - 30 = 0, 5*l = p*q - 10 - 35 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 4*u + 14, 3*c - 4*u = -2*c - 63. Let p(g) = 4*g + 1. Let w be p(-1). Let d = w - c. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(153)*4)\/((-2*sqrt(90) + sqrt(90))\/sqrt(10)) - ((sqrt(85) - -3*(sqrt(85) - sqrt(85)*1))\/(sqrt(5) + sqrt(5) + sqrt(50)\/(sqrt(30)\/sqrt(3))))**2.\nAnswer: -8*sqrt(17) - 17\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of 93*o**5\/20 + 55*o**3\/3 - o + 2. What is the second derivative of t(m) wrt m?\nAnswer: 558*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/7)\/(((-92)\/(-322))\/((-4)\/(-14)))?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - s + 2 = 3*r, -13 = -3*r + 4*s. Solve x - f = -0*x + 7, r*x + 4*f = -14 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a second in milliseconds?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 - 11*k**2 + 4*k + 9. Give c(-11).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - a - 12, -5*k + 2*k + 6 = 3*a. Is 14 a factor of (k\/1)\/((-3)\/(-6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 2880.\nAnswer: 1\/720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 42056918 to the power of 1\/3, to the nearest integer?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-36)\/(-90) + 593\/5. What is the second derivative of -13*x**5 - 12*x**5 - r*x - 23*x**5 wrt x?\nAnswer: -960*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 + 4*p + 5. Suppose 3*u - 14 = 2*b + 2, -3*u - b = -10. Calculate a(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1733713*s**3*v**3 + 75*s**3 - 2*s*v**3 + 19*s*v - 2*s - 196*v**2 - 272 wrt s?\nAnswer: -10402278*s*v**3 + 450*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of -q**5\/60 - 2*q**2. Let t(l) = -8*l**2 - 10*l + 2*l + 8*l. Calculate t(s(x)).\nAnswer: -8*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 38 = -9*f. Suppose 3*u + 21 = 4*u - 2*d, 0 = 2*u - d - 30. Let k be (u - 12)*(-2 - -6). Solve -k*x = -19 + f for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47350 (base 9) in base 12?\nAnswer: -16383","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 6*x - 6. Let i = -94 + 90. Let z be i\/18 - 145\/(-45). Let m(j) = 5*j - 5. Give z*c(t) - 4*m(t).\nAnswer: -2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + 26d457?\nAnswer: 26d456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 5 = 5*l, 1985*l - 5*d - 3 = 1988*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + g + 3944, 4*h = 3*h + 5*g - 794. Let d = h + 1680. What are the prime factors of d?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*r + m, 3*r + 2*m = -r - 2. Suppose 2*x + 2*w + r = 3*x, x + 2*w - 14 = 0. Solve -38*f**3 - 50*f**2 - 14*f**4 - x*f + 5*f - 2*f**5 - 29*f - 8 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*w = -43 + 28 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 276 and 2001.\nAnswer: 8004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 3 - (-7 + 4). Let r(x) = 6*x - 23*x + 8*x + 7*x + 30. Let j be r(m). What is the highest common factor of 30 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5 + (6\/(-2) - -12). Sort -227, w, -3 in ascending order.\nAnswer: -227, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 154104?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -201\/5 or 481658?\nAnswer: -201\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 8*w**2 - 5*w - 67. Let s(d) = 3*d**3 - 22*d**2 + 16*d + 196. What is 11*f(m) + 4*s(m)?\nAnswer: m**3 + 9*m + 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p**3 - 2*p**2 - 10*p + 5. Let j be m(-5). Calculate the greatest common factor of j and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 1, -15, -9, 16, -3 in descending order.\nAnswer: 16, 4, 1, -1, -3, -9, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -17916 in descending order.\nAnswer: 5, -2, -17916","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -6*r - 34*f + 39*f, -20 = 2*r + 2*f for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 116, 446, 982, 1724?\n\"Answer: 103*c**2 + 21*c - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -663 and -0.0432.\nAnswer: -663.0432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 78 and 43251.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -15. Let n be (0 - a)*(-20)\/8. Let d = 7 + n. Solve d*b = -0*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 1970?\nAnswer: 21670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1502870 (base 9) to base 13\nAnswer: 230361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 8 + (-14)\/3.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) - ((sqrt(72) - sqrt(72)*-1 - sqrt(72)) + sqrt(72)))\/sqrt(3))\/(sqrt(8) + sqrt(200) + 2*sqrt(200)).\nAnswer: -sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*m + 36*m**2 - 8*m + 5*m - 12*m.\nAnswer: 36*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) + 2 + 4)**2.\nAnswer: 84*sqrt(7) + 379","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6 + 4*i**2 - 4 - 3 + (-i - 3 + 3)*(4 + 2*i - 4).\nAnswer: 2*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 20234 divided by -16606\nAnswer: -10117\/8303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*c + 15*c + 23*c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 3:10 PM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nddnhdhdhhdsd. What is prob of sequence hns?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - -5) + 44\/66*-6. Let b be (-1 - 0)\/(2\/(-4)). Suppose 5*h + 5*g - 40 = 0, 28 = b*h - 6*g + 2*g. Solve 0 = m + i - h, -m - 5*i + 22 + 8 = k for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204606 is divided by 10230?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -9, 7, 43, 105?\nAnswer: 199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + -3*sqrt(1331)*-1 + sqrt(1331) + -3 + sqrt(1331) + 1 + -3)*1)**2 + 2.\nAnswer: -1100*sqrt(11) + 33377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 155 + -110. Is m a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - -303136?\nAnswer: 303142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -465 - -465. Let l(t) = -22*t + 21. Let s be l(o). What is the highest common divisor of 693 and s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(2\/9)*m**(-3))\/(m**(-2\/7)*m*m*m**(-6)) assuming m is positive.\nAnswer: m**(158\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - 4*x**2 + 6*x + 6. Give n(-4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2513 - 0.1487. Which is the closest to 2? (a) p (b) 3\/5 (c) -10\/3 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 794 - 794 - 2*j**3 - 2*j**3.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x + x**2 - 7 + 3*x + 3*x + 2*x. What is the units digit of y(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = -5, 0 = -5*k + 10*b + 21*b - 145 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 9 - t**2)*(-6*t + 6*t - 9*t) - 4*t**3 + 4*t**3 - t**3 + 0*t**2 + 0*t**2 + 2*t**3.\nAnswer: 10*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/29, 0.3, 49, 4, 43, -0.5?\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -28, -46, -68, -94, -124, -158?\nAnswer: -196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 2*l - 8, 5*t + 3*l + 10 = -l. Is t equal to 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbft when four letters picked without replacement from {r: 1, l: 1, v: 1, b: 2, t: 1, f: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10602 (base 9) in base 8?\nAnswer: 15611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a microgram in nanograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -1\/4 (b) 0.3 (c) -1\/5 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -21939.85 - -397\nAnswer: -21542.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -69.6133 + -0.1067. Let c = l + 78. Let s = c + -1.18. What is s rounded to zero dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.2565 to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -6. Let x = -5 + y. Let v = 5 + x. Which is the closest to 0? (a) 3\/7 (b) 1\/3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/189 and -121\/1585710.\nAnswer: 1585710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 280, 2117, 5182, 9481, 15020, 21805?\n\"Answer: b**3 + 608*b**2 + 6*b - 335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of 1\/4*h**4 + 2*h + 0*h**3 + 1 + 0*h**2. Find the first derivative of g(m) wrt m.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 3. Suppose 10 = t*m + 6. Let r be (-12)\/42 + 116\/14. Solve -y - 2*y + 10 = m*l, -y + r = -4*l for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0216559092 to 5 dps.\nAnswer: 0.02166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -1035489848.22.\nAnswer: 1035489844.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27416 and 495328?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -1 - 3. Solve j = 5*m - 9 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 5*d - 28 + 0 = 0, 0 = 2*i + d - 10. Calculate the smallest common multiple of 2 and (-46)\/138 + 596\/i + -1.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -4*c**5 + 4*c**3 + 2*c**2. Let j(a) = -a**5 + a**4 + a**3. Let s(x) = 2*j(x) - t(x). Factor s(d).\nAnswer: 2*d**2*(d - 1)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*k + 1. Suppose k*z + 0*z = -12, -j = -z. Which is the biggest value? (a) 1 (b) j (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31338.\nAnswer: 2, 3, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 504.\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7819\/35 + 6\/(-15). Let g(v) = 449 + v - 226 - b. Let f(n) = -6*n. What is g(f(o))?\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7 + 0 + (8 - 3 - 4). Suppose j*x - 29*x = -168. Let y be 1\/4 - (-42)\/24. What is the greatest common factor of x and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 264 divided by 42\nAnswer: 44\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -103 + 104. Is 9 a factor of 4 + 3 + (111 - f) - 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30*-27505.\nAnswer: 825150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 2)*(-4 + 10 + 3)*(-2*y**2 + 3*y**2 + 0*y**2) + (0 + 0 + y)*(-1 + 1 + 5*y).\nAnswer: 23*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m - 2 + 0 - m**2 - 1. Let y be a(-3). Let t be 4*((-39)\/y - 2). Sort t, -1, -2\/13 in descending order.\nAnswer: t, -2\/13, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -169 bigger than 43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 7*z**2 + 2*z + 6. Let a be 0 - 4\/5*20\/8. Let i be c(a). Let h be 664\/i - ((-128)\/(-60) + -2). Solve 4*y = h - 2 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -6. Let r(h) = 14*h**3 - 21*h**2 + 17*h - 13. Let n(l) = -5*l**3 + 7*l**2 - 6*l + 4. Let x(q) = o*r(q) + 11*n(q). What is the units digit of x(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132184 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.5 + -1.6. What is the closest to n in -5, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 13 + -7 - 30\/(-8).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 7)*(4*w + 2 + 0 - 3).\nAnswer: 16*w - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -292500263 - 148.\nAnswer: -292500411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 7578.298 weeks?\nAnswer: 53048.086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is d94630 (base 15) in base 5?\nAnswer: 10121424040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3480363 is divided by 6542.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2218*2.4.\nAnswer: -5323.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*6*sqrt(175) - sqrt(175)) + -4 + ((sqrt(175) + sqrt(175) + 4)**2 - sqrt(175)).\nAnswer: 250*sqrt(7) + 712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*f**5 + 285*f**3 + 320*f.\nAnswer: 40*f**3 + 1710*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2696859?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of -59*j**3 + 17*j**2\/2 - 4*j + 23. Find the second derivative of v(x) wrt x.\nAnswer: -354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140415 a multiple of 185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -731570.\nAnswer: 1463140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -68 - -320?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 5*z + 2. Suppose 2*h - 4 = -2*r - 6, -4*h + 3*r = 18. Let t be (-4 - -1)*(-1)\/h. What is u(t)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(204) - (sqrt(204) + 2*sqrt(204) - sqrt(204))*-3 - sqrt(204)))\/(4*(sqrt(192) - 1*sqrt(192) - sqrt(192) - sqrt(192))).\nAnswer: 9*sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*x + 1 = 5*m + 14*x, 2*x = -4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 170*b - 1654331 + 1649401 for b.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58 = 3*l - 31819*h + 31809*h, 13*h + 87 = l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/2, 5, 0, 0.2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 12343, 12547, 12885, 13357, 13963, 14703?\n\"Answer: 67*v**2 + 3*v + 12273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 1.33?\nAnswer: -5.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 800, 2461, 4120, 5777, 7432, 9085?\n\"Answer: -w**2 + 1664*w - 863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -19*r**2. Let l(f) = -513*f - 15. Let c(i) = -55924*i - 1640. Let v(g) = -3*c(g) + 328*l(g). Determine s(v(w)).\nAnswer: -4599216*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2 + 2574*b + 552123.\nAnswer: 3*(b + 429)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7560 - 7601. What is the closest to -2 in y, 1\/3, 5\/2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, j: 3}. What is prob of sequence mjjj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*u - 138714 = 5167*u + 91416 for u.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -v - 4*w + 94, 4*v = -3*w + 411. Let f(s) = 0 - s**3 + 1 + 0 + s + 7*s**2 + 1. Let a be f(7). Calculate the greatest common divisor of a and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, i: 3}. What is prob of picking 1 m and 2 i?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 43406179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3120 and 11635.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l + 23. Let u be q(0). Suppose -8*g + 24 = -0. Suppose g*n - u = 82. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3*j - 1. Let c(s) be the second derivative of -s**5\/20 + 2*s**4\/3 - 4*s**3\/3 + 3*s**2 - 11*s. Let h be c(7). Give o(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 110982 and 3099.\nAnswer: 114644406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + p - m + 99055 = 0, 74277 = 3*p - 4*m. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 31\/2 of a day?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**2. Let q(r) = -14931*r + 3555. Let h(u) = -4*u + 1. Let c(p) = 7110*h(p) - 2*q(p). What is o(c(m))?\nAnswer: 4044168*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 58454.9000032 - 58455. Let f = s - -0.1. What is f rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/2 + (-1 + -21)\/(-13 + 11) + -40?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2258.2812 months to millennia.\nAnswer: 0.1881901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**3)\/f**(-6\/11))\/(f**(2\/9))**(1\/21))**3 assuming f is positive.\nAnswer: f**(9428\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2547.\nAnswer: 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130266203 is divided by 92?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 367?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2307791, 4615573, 6923365, 9231173, 11539003?\nAnswer: 13846861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -271, -560, -865, -1192, -1547, -1936, -2365, -2840?\nAnswer: -3367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2435*y - 2413*y + 22 = 0. Let k(m) = 5*m**3 + 2*m**2 + 2*m + 1. Give k(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d\/(d\/((d\/(d*(d*d**2)\/d))\/d)*d))*d\/(d\/d**(-12))*d*d**8*d*d*d*d*d**(-9)\/d*d*d*d)**(-21) assuming d is positive.\nAnswer: d**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 77, 36, -37, -148, -303, -508?\nAnswer: -769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.990418 centuries?\nAnswer: 99.0418","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -295 and 123 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42228 and 74538?\nAnswer: 174866148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6874.06ml to litres.\nAnswer: 6.87406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13658 and -0.77?\nAnswer: 10516.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2052222304.\nAnswer: 2, 11, 5830177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 87 divided by -87?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2025 + 1986. Suppose a = 0, 10*w - 5*w + 195 = 4*a. Let o = h - w. Solve o*f + f = 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -0.4 (b) 12.2 (c) 0.1 (d) -2 (e) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -3*n**3 - 164*n**2 + 340*n - 4. Give b(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42079?\nAnswer: 29, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -9*r + 12. Let m(a) = 148*a**2. Give m(q(z)).\nAnswer: 11988*z**2 - 31968*z + 21312","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 38929 divided by -4\nAnswer: -38929\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*m + 73*m - 3836 = 0. Is 9 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v - 10. Let x be k(14). List the prime factors of (2 + 7)\/(x\/204).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-200)\/(-45) + -4)*9. Let p(s) be the first derivative of 7 + 16*s**n - 32\/3*s**3 + 64*s - 28\/5*s**5 - 32*s**2 + 2\/3*s**6. Let p(y) = 0. What is y?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0, 0.4, 5, -0.01, -2\/33, -0.31453?\nAnswer: -0.31453","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + n + 4. Let t be z(-4). Suppose -2*x + 0*x = -t. Let y(p) = 3*p**2 - 11*p - 5. Let r be y(x). Calculate the highest common divisor of 11 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/42656 and 91\/75422.\nAnswer: 37409312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -92 - -62?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 131454188 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -605144 times 0.2\nAnswer: -121028.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1967\/6 - 329. Let p = 11\/30 + u. Sort -7\/4, 4, p in increasing order.\nAnswer: -7\/4, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1014*g - 476*g = 515*g + 345 for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -217*s - 220*s - 66*s - 15593 = 0 for s.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12412587 is divided by 13419?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2469 - 4302 = 14*z - 982*z + 3007. Let w = -200764\/559 + 25512\/43. Let r = -234 + w. Which is the smallest value? (a) -0.2 (b) r (c) z (d) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -90098 * 1.25\nAnswer: -112622.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that q**2 - 6001345*q - 6001346 = 0.\nAnswer: -1, 6001346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 2)*(0*s + 0*s - 3*s) + 0 + s - 1 + 2*s - 60 + 13*s + 60.\nAnswer: 22*s - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 - p + 3. Let s be d(0). Suppose 8 = s*y - 2*y. Calculate the lowest common multiple of y and 22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-6))\/((-1)\/(-15)). Let y = t + -8. Let x be (-4 - y)*(-2 + -1). Is x bigger than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - y - 16. Suppose x - y = -o, -4*x - 6*o + 15 = -o. Let u = x - 2. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 475506?\nAnswer: 2, 3, 26417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18 by 114.\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 4 (b) 0.029 (c) 0.2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/80*4)\/(78\/(-16))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/9, -2\/61, -0.2, -2\/15, 16 in increasing order.\nAnswer: -0.2, -2\/15, -1\/9, -2\/61, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m + 6. Let r be x(6). Suppose r*s = -5*s + 65. Is 13 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -m**4 + 7*m**3 + 753*m**2 + 1481*m + 736 = 0.\nAnswer: -23, -1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + 1)*(-1)\/(-9). Suppose -11*r - 10 = -16*r. Factor -m*g + 0 + 1\/3*g**r.\nAnswer: g*(g - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - -37) + (1 - 1). Suppose 3*c + o = -2*o + 6, -4*c + p = -4*o. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84 + 83 - 32*x**2 - 40*x**2.\nAnswer: -72*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pspapupapapppsppuap. What is prob of picking 3 p?\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-81))\/((-3)\/9).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40 and 91871320.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 + 20*j - 8. Let l be (3 + 6 + 1)\/((-4)\/(-14)). Let r be (15\/21 - 1) + 535\/l. What is the units digit of f(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ki when two letters picked without replacement from {i: 1, b: 4, k: 1, q: 2}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*q**2*s - 6*q**2 + q*s - 43*q + 845*s + 2 wrt q?\nAnswer: 4*q*s - 12*q + s - 43","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -192931634, -192931635, -192931636, -192931637, -192931638, -192931639?\n\"Answer: -q - 192931633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 + 4*h - 11. Let r be a(-8). Suppose -3 = 3*z - r. What is the greatest common divisor of z and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 0.01 (c) -2\/11 (d) -2\/35 (e) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3654*o**4 - 4974*o?\nAnswer: 43848*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/1533502 and 93\/1802.\nAnswer: 1533502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23522 divided by -1238.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 12 - 5)*(2 - y - 2)*(4 - 1 - 2).\nAnswer: 17*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -135, 3, -123 in descending order.\nAnswer: 3, -123, -135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -z**4\/4 - 7*z**3\/3 - 4*z**2 - 5*z + 1. Let y = -7620 + 7613. Is p(y) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i**3 + 3*i**3 - 27*i + 25*i + 3*i**2 + i**4 - 1 to the form y*i + h*i**2 + t*i**4 + n*i**3 + z and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00448263442 rounded to 6 decimal places?\nAnswer: 0.004483","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 3 - (-2 + -76)) + 439 + (-367 - 70).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**3 + r - 2. Let h be n(3). Suppose 0*s = -3*s + 66. Calculate the greatest common divisor of s and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244774 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: Let v = -3\/697 - -5\/41. What is the fourth smallest value in 5, 4\/9, v, 0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 10 = -0*n - 4*j, -n = 2*j + 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + -1*sqrt(13))*-3 - (-5 + (sqrt(13)*1)**2)) + 2 - (1*(-3*sqrt(78) - sqrt(78)))\/(-1*sqrt(6)*-1).\nAnswer: -6 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5887 and 10229083?\nAnswer: 841","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w + 13927292 - 13927447 for w.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 680427*g**5 + 10 - 680429*g**5 + 4 + (-5*g**3 + 4*g**3 + 3*g**3)*(-g**2 - 3*g**2 - g**2).\nAnswer: -12*g**5 + 14","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 1336 - 64 = 0. List the prime factors of i.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 11:06 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*u - i = 24*u + 7, 0 = -5*u - 3*i for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and -1287091.51151828.\nAnswer: -1287086.51151828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert c (base 14) to base 4.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/12 and 149\/210.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16171323 is divided by 651.\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i**2. Let g(y) = 2*y - 61. Let l(m) = m + 1. Let k(r) = -2*g(r) + 6*l(r). What is j(k(b))?\nAnswer: -8*b**2 - 1024*b - 32768","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.698 + -2.156. Let w = 0.146 - f. What is the closest to w in -5, 6, -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2158\/9 - -240. Factor -k*d**2 + 0 + 2\/3*d.\nAnswer: -2*d*(d - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 + 25. Let f be 3\/(-7) - (-1 + 17\/(-7)). What is the third derivative of -b*t**f + 27*t**3 + 36*t**2 - 27*t**2 - 29*t**2 wrt t?\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -81*w*x**2 - 1242*w*x + 5*w - 7477*x**2 + 59*x wrt w.\nAnswer: -81*x**2 - 1242*x + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -109887 less than 5?\nAnswer: 109892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o**2 - 7*o - 3. Let c(t) = 4*t**2 + 1. Let y(u) = c(u) + i(u). Give y(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -154 + 153. What is the second biggest value in 2, -22\/7, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 136 + -112. Let s be (-4 + 156\/q)*6\/5. Solve -4*b - s = -g, 3*g + 2*b - 3*b - 9 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwzwzwwwwz. What is prob of picking 1 w and 1 z?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-696)\/1015*45 + 30.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -10*d. Let z = 6 - 4. Suppose z = -v + 1. Does 10 divide o(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -52568, -50299, -48030, -45761, -43492?\n\"Answer: 2269*k - 54837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/49656 and 143\/37242?\nAnswer: 148968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - (0 - 1) - -21. Suppose -3*m + 2*p - 1 = 0, 2*m = 3*m - 5*p + y. Let w = m - -1. Is 4 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6471 rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 13, -4, 1\/860, -5, 1\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -33300323?\nAnswer: -33300332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(5)*2)**2*-5.\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1839862?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - d + 1. Let l be o(1). Is 2 a factor of (-6)\/((0 + l)*-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131 = 2*p - 45. Let w(b) = -5 + 5 + 4*b. Let f be w(2). Calculate the greatest common factor of f and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -3068016 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -69 - -70.88. Round x to one dp.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4174994457 + 5\nAnswer: 5.4174994457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 4, n: 3}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -15*w**3 - 10*w**2 - 33*w + 24. Let a(t) = 6*t**3 + 4*t**2 + 13*t - 10. Give -12*a(x) - 5*f(x).\nAnswer: 3*x**3 + 2*x**2 + 9*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7399.5 and -0.11?\nAnswer: 813.945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 + 30. Let g be 204 + -1 + 25 + -20. Calculate the greatest common divisor of g and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43838?\nAnswer: 2, 23, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -3*h - 205 + 51, -4*r = -5*h - 234. Let c be (10\/h)\/((-4)\/5). Is c >= 38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 5*r = -0*t - 5, 0 = 775*t - 758*t + 3*r + 155 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + 15 + 2841*u - u**2 + 0*u**2 - 2808*u. Give s(17).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2043325033 to the power of 1\/2, to the nearest integer?\nAnswer: 45203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*w - 3 = -16*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -3*j**3 + 5*j**2 + 7*j + 8. Let f(s) = -s**3 + s**2 + s + 1. Give -d(x) + 5*f(x).\nAnswer: -2*x**3 - 2*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-8)*v)\/(v\/v**(-7\/4)*v)*v*v**(2\/11)*v*v**(1\/14))**27 assuming v is positive.\nAnswer: v**(-62343\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 89, -5, 2, 3, -3, -88 in descending order.\nAnswer: 89, 3, 2, -3, -5, -7, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l - 13. What is y(-10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -317*o - 999317 = -67*o - 4386567. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47 = 16*p + 49 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10960667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87200037?\nAnswer: 3, 3229631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 12:33 PM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 98 - 58. Suppose -3*m + t = 4*a, 2*m - 5*a - 1 = -5. Solve 0 = 7*y - 3*y + m for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 <= 1\/122?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 60723?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 4893062?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -2*d - 10, 6*d - 20 = 4*d - 2*s. Let y = 33 + -33. Sort y, -1, d, 1 in descending order.\nAnswer: d, 1, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 10) in base 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -30885, -61631, -92383, -123141, -153905, -184675, -215451?\n\"Answer: -3*a**2 - 30737*a - 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 13, p: 6}. What is prob of sequence kkkp?\nAnswer: 143\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(2048) + 0 - ((sqrt(224) + -3*sqrt(224))\/sqrt(7))**2).\nAnswer: -32*sqrt(2) + 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -20*y - 42. Let a(i) = 4*i + 9. Let p(v) = 28*a(v) + 6*l(v). Let z(h) = -31*h. Give p(z(c)).\nAnswer: 248*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 518278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 187560 - 58*m**2 - 187560. Let w(v) = 2*v. Determine w(g(d)).\nAnswer: -116*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 i when two letters picked without replacement from {i: 1, b: 1, d: 2, g: 1, y: 1, h: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 803638 is divided by 120?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3*s - 8*s - 13 = 0, -5*s = -5*j + 25. Suppose j*z + 4*a = 5*a + 360, 4*a = 16. What are the prime factors of z?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 222798 >= 222737?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 4*h + h = -15, 5*g + 2*h = -6. Let x = -1 - g. What is the units digit of -2 + x\/(-1)*3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 - 8*m - 10. Let o be l(-6). Suppose 0*z = o*z - 74. Let g = 247 - z. What is g rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -201*h - 84*h**2 + 388*h - 187*h + 49*h**2 + 37*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 40737606 divided by -546?\nAnswer: -74611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*o = 17*o - 14756. Is o a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + 0 + 4)*((-171)\/38 + 6). Put t, 0.5, -1.916, -3\/4 in decreasing order.\nAnswer: t, 0.5, -3\/4, -1.916","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) -0.44 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 614 minutes after 9:57 AM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h + 20. Let j be t(8). Suppose -y - j*y - 5 = -5*z, 3*z - y = -3. Is z bigger than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1223411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 4*m + 4*l, 2*l + 3*l + 21 = 3*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(-6)\/(-32)*6\/15.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o + 8. Suppose 5056 = -4*r + 3*d, 0*r - 3*r - d - 3779 = 0. Let p be (-2)\/9 + r\/117. Let y be n(p). Which is greater: -4 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of -4*i**3 - 14*i - 12. Let p(a) = -4*a. Determine -28*p(w) + 4*x(w).\nAnswer: 16*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3096793, 6193558, 9290323, 12387088, 15483853?\n\"Answer: 3096765*t + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15690884 divided by 1507?\nAnswer: 10412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 + 21.792. Let z = d + 0.008. What is the second smallest value in -1\/3, -0.4, -1, z?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 2*r - 3*n - 81, -2*r + 54 = 5*n. Suppose -9*t - r = 9. What are the prime factors of (-16)\/t*-1 + (0 - -201)?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(147) + -2 + sqrt(147) + -3 + -5 + (-4 + (sqrt(6)\/sqrt(2)*2 - 1*sqrt(12)))*-5.\nAnswer: 8 + 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 0 = 3*p + 6, 0 = 5*p - 4*h - 22. Let m(t) = 20*t + 7. What is the remainder when m(p) is divided by 19?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(605)*1 + sqrt(605) + 4 + sqrt(15)\/(4*sqrt(6)\/sqrt(2) - sqrt(3)))*6)**2*-5.\nAnswer: -451780 - 32160*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28 + 53. Let m = w + -46. Let q = m + 20.96. What is the second smallest value in -2, 1\/5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1889 a factor of 2625710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -590 + 601. Suppose 2*d + v + v - 68 = 0, 0 = 2*d - 2*v - 64. Calculate the highest common divisor of h and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i - 4. Let d be k(-6). Suppose -3*y + 50 = d*y. Let q = y + -1. Calculate the highest common divisor of q and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 43938.698?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2767290.9 from -9877.4.\nAnswer: -2777168.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -829*h**3 + 47*h**2 + 474*h - 3. Is i(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 12 = -0*z - c, -5*z + 4*c = 36 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, -3, 1, -1\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/4 - 15097*w\/2 + 2755935\/4.\nAnswer: -(w - 91)*(w + 30285)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*a + 81*a + 9 = 4*w, -a - 3 = 2*w. Sort -2, a, -845 in descending order.\nAnswer: -2, a, -845","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1559, -1558, -1557?\nAnswer: -1556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.18828 - -4.7.\nAnswer: 4.88828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.8195 - 737.5805. Let x = -738 - m. Sort 0, -1, x, -2\/111 in increasing order.\nAnswer: -1, -2\/111, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4857 + -4841. Solve -5*l + w = z, 5*z = 2*l + 6*z - 7 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 2*k - 109294, -5*d + 85696 + 78245 = 3*k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2174 (base 11) in base 12?\nAnswer: -17a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 285*n + 4*x - 27 = 312*n - x, -x + 1 = -n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -16, 2\/21, 0.1, 115?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 91576*u**2. Let q(m) = -27*m**2 - 3. Give q(f(k)).\nAnswer: -226426421952*k**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/((1\/5)\/1). Put -2, z, 4, 5 in increasing order.\nAnswer: z, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 113*l**2 + 9*l - 1015. Calculate a(113).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.554 - -55.246. Is -4\/7 less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16826)\/2148 - ((-5 - 0) + -2))\/(2\/(-3)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 + 8*q - 9. Let w be ((-2)\/1 - 1) + 15. Suppose 2*t - w = -0. Calculate the smallest common multiple of 11 and y(t).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 789\/15 - -2 - (-4)\/10. Suppose 0 = -19*g + 93 - n. Solve t + 0*x + 22 = 5*x, 3*t = -g*x + 19 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -351217 times -0.4\nAnswer: 140486.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48653 = 3*m - 48656, m = s - 3 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**13*x)**(-6) assuming x is positive.\nAnswer: x**(-84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iitiiiiiiiitiiiiitt. Give prob of picking 1 t and 1 i.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3904 a factor of 785655641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5749 + -99\nAnswer: -5848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 4*j**4 + 302*j**3 - 1256*j**2 - 292*j + 1462. Let n(x) = x**3 - 2*x**2 + 23. Let h(v) = -10*n(v) + o(v). Determine g, given that h(g) = 0.\nAnswer: -77, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3003123333 (base 4) to base 11.\nAnswer: 4a7488","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 5*a - 4. Let l = 16 + -26. Let n = l + 6. Calculate the remainder when z(n) is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.4 - 5.3. What is the third smallest value in -2, -0.1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = 5*p + 130, -2*p + 3*x - 446 + 529 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-2))\/((-7)\/((-7)\/(-24))).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -23 - -13106146?\nAnswer: 13106123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*k + 45*k - 23*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31\/13 + -575\/143. What is the closest to n in 0.2, 0.031, -0.4, 3\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/5))**(-13)\/(t*t**5\/t*t*t*t\/t**2))\/(t**(-3)*t**5*t*t*t*t**(-3\/7)*t*t**8\/t) assuming t is positive.\nAnswer: t**(-832\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 3. Let r(x) = -16*x**2 - 594*x - 69. Let s be r(-37). What is the second smallest value in k, -6\/11, s, -3\/4?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (16 + 6 - 17)*(3*k**4 + 8*k**4 - 17*k**4) as t*k**3 + g*k**2 + z*k**4 + s*k + i and give z.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-3*(-5 + (sqrt(1573) - 2*sqrt(1573))**2) - (sqrt(1573) - (-4*(-1 + sqrt(1573)) + sqrt(1573)) - (4 + sqrt(1573) + 0))) + 0)*6.\nAnswer: -28181 - 198*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18998356?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.1, -2, 0, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 74860186 to the power of 1\/3, to the nearest integer?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 875*o**2 + 1253005*o\/4 + 895\/2 = 0.\nAnswer: -358, -1\/700","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 12.4. What is the nearest to 1\/4 in -1, 22, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*z = -z + 144 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 f when two letters picked without replacement from kvbfvvvfbvfkkvk?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 618 = 5*k. Let d = k - 98. Suppose 3*b + d = -5*o - 14, 0 = -b + o - 38. Which is smaller: b or -40?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 470 is divided by 442?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from -4287160.7842229.\nAnswer: -4287159.7842229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p - 5. Determine t(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 6*p + 1. Let b(x) = -13*x - 3. Let k(v) = -2*b(v) - 5*w(v). Let m(c) = -c. Let a be 126\/14 - 1*3. Calculate a*m(z) - 2*k(z).\nAnswer: 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v, 1 w, and 1 x when four letters picked without replacement from {v: 3, w: 2, x: 1, c: 1}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of 0*d**4 + 0*d**3 + 0*d**5 + d**6 + 0*d - 5 - 3\/2*d**2. Find the second derivative of w(l) wrt l.\nAnswer: 120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -20*p**3 - 2*p**2 - 2*p - 4. Let g be w(-2). Suppose g + 280 = 8*t. What is the second derivative of -4*y - t + 54 - 15*y**4 wrt y?\nAnswer: -180*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 189 and 6762?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 + 12*r - 1. Let i be y(-9). Let z be 4*1 - i\/(-14). Suppose -f - 4710 = z*f. Round f to the nearest 100.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 3*l - 6. Suppose -2*u + 7*u = -5*n + 30, 0 = -u - 3*n + 10. Let p = -30394 - -30396. Solve -p*i - 3*x = -17, -u*i = -l*x - 0*x + 6 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d + 10. Let o be n(-5). Let m(a) = -2*a - 1. Let l be m(1). Let u = o + l. Solve c = -2*f - u, 3*f = -4*c - 0 + 7 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-12)*216\/(-48). What is the biggest value in -7, q, -6, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2600*h + 2612*h + 84 = 0. Let t(s) = -4 + 6 - s**3 + s - 6*s**2 + 3 - s**2. Calculate t(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -28*g - 119*g**2 + 7*g + 14 + 118*g**2 + 6. What is the hundreds digit of a(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 453709165?\nAnswer: 5, 7, 13, 997163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 23978016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 814 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 3*v - 147. What is t(58)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 207589, 207478, 207287, 207010, 206641, 206174, 205603, 204922?\nAnswer: 204125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 3*n - 0*n - 172, 2*t = 4*n + 66. Calculate the remainder when 277 is divided by t.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r = 12*r - 3352. Suppose -r = 11*y + 372. Is 14 a factor of y\/(-4) - 22\/(-44)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 813 - 807. Solve 0 = -a*v + 12 - 42 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v - 17. Let q be 77\/(-14) + (-1)\/(-2). Let k(z) = -z + 11. Give q*d(n) - 8*k(n).\nAnswer: -2*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 4 + 16 = 0. Suppose s*m = 2*m. What is the derivative of -2*f**3 + m - 1 + 0*f**3 wrt f?\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 4*h**2 + 14*h + 11. Let l be b(-9). Calculate the greatest common factor of l and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*i**2 + i**2 + 3*i**2)*(i - 4*i + 2*i) - 2*i - i**3 + 2*i + (101*i - 4*i + 14*i)*(-5*i**2 - 5*i**2 + 4*i**2).\nAnswer: -665*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*y - 2427 + 2583 = -5*y for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 2*k + 124, 5*l + 332 - 100 = -3*k. Let c(y) = 9 + 17 + 5*y + 25 - 15 + 24. Let t be c(-21). Which is greater: t or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -0*z - 3*z. Suppose 12 = -w + 4*k, -2*w + z = k + 6. Suppose 178 + 42 = w*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 6\/5 of a kilometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -630820 times -6.2?\nAnswer: 3911084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 + 11*g - 12. Let s be f(-12). Solve -d + 5*y - 12 = 0, 0 = -s*d - d + y for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - 5*k**2 + 6*k + 39. Let q be p(-4). Suppose -4*o = -2*r + 1 + 3, 4*o = r. Put q, r, -4 in increasing order.\nAnswer: -4, q, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2505 - -2505.0411. What is the biggest value in 3, w, 0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 62*j - 10187. Calculate the least common multiple of f(173) and 735.\nAnswer: 8085","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*i**2 + 2550*i - 2552*i - 12*i**2 - 1 + 1 - i**2 + (-i - 4*i + 4*i)*(2*i + 2*i - 2*i) + i**2 - 3*i**2 + i**2 in the form j*i + w + c*i**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1)*t)\/t*t)**(2\/21)*((t**(-3)\/t)\/t)\/(t\/((t**(-1)*t)\/t))*(t**0)**(1\/62)*t\/t**(-1)*t*t**(-2\/19) assuming t is positive.\nAnswer: t**(-78\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -464 = 117*g - 932 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: -1 (base 5) to base 14\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1075*k - 1087*k = -1598604. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -365\/42 + 55\/7. Let w = 2.39 + 0.11. Let r = w + -2. Which is the nearest to -0.2? (a) 4 (b) l (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 37*t**2 - 41*t + 114. Let o be q(38). Solve o = -c - 3*g + 1, 5*c + 2*g - 20 = -2 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51 - (-1807 + 1800 + (1 - (0 + -18)))\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1782 - 110.9218. Let f = v - -103. Round f to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 54\/(-3)*(-2)\/4. Let l be (-51)\/9 + 6\/d. Let k(o) = -o - 12. Let i(c) = 2*c + 24. Let z(m) = l*k(m) - 2*i(m). Calculate z(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/1)\/(-6 + ((-48)\/6 - (-63)\/(-14))).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 56075452\/11 - 5103655. Let j = 5882 + n. Find the common denominator of j and (7\/(-6))\/(20\/(-165)).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/((((l**(-7\/4)*l*l)\/l)\/l)\/l*l))\/l)\/(l\/(l*(l*l**(-11)*l)\/l))*l*l\/(l\/((l**(2\/9)*l*l)\/l)*l)*l\/(l\/l**(1\/11))*l assuming l is positive.\nAnswer: l**(-2351\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 35 - 9*d - 17.\nAnswer: -9*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/11 - 18*g**2\/11 + 39*g\/11 - 20\/11.\nAnswer: -(g - 1)**2*(g + 20)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 2 + -3 - (-267 - -264).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/4 of a tonne in kilograms?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14.79994271 + 14.8. Round j to six decimal places.\nAnswer: 0.000057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 310, 628, 944, 1258, 1570?\n\"Answer: -c**2 + 321*c - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1783376 to the nearest integer?\nAnswer: 1335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 6509110 to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 AM and 1:24 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rb when two letters picked without replacement from {n: 2, x: 1, u: 4, b: 2, r: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 805508*l**2 + 1133417.\nAnswer: 1611016*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39.2205 + 0.2205. What is the nearest to -2\/5 in w, -5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from {k: 2, m: 7}.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {s: 5, g: 5, z: 1, c: 8}.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 340 + -988. Let b = -344 - p. List the prime factors of b.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 1:23 AM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -434 - -230. Let x be (-2)\/(-7) + 2 + j\/(-21). Calculate the greatest common divisor of 4 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -70*v**4 - 1060*v**3 - 1215*v**2 + 25*v + 25. Let t(x) = -3*x**4 + 2*x**3 - 4*x**2 + x + 1. Let w(q) = -h(q) + 25*t(q). Determine u so that w(u) = 0.\nAnswer: -1, 0, 223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 76 = -4*k. Suppose -22*t = -k*t. Put t, -4, 4 in descending order.\nAnswer: 4, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3731 is divided by 204.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*q**3 + q**3 - 2*q**3 + 12*q**3.\nAnswer: 19*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34320975?\nAnswer: 3, 5, 13, 35201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -757*r + 23477. What is i(31)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggygyggggggggyggyg. What is prob of sequence ygy?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 0*l + 3*l**2 - 2*l + l**3 + l**2. Let n be a(-4). Suppose -4*v - 60 = -2*r + v, -r - 3*v + n = 0. What is the greatest common divisor of 80 and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -31*n**4 - n**3 + 528*n + 203048?\nAnswer: -124*n**3 - 3*n**2 + 528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 16680.\nAnswer: 16680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.18 * -0.03\nAnswer: 0.0054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -y**2\/6 + 2033*y\/2 - 12174 = 0.\nAnswer: 12, 6087","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -194 - -333. Is 5 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3040476*j = -3040705*j - 16259 for j.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m + 23. Let j be h(24). Let k(z) = -183*z + 38. Does 17 divide k(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 416 and 24336?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*y = 9*y - 168. Determine n, given that 4\/3*n - 4\/9*n**y - 8\/9*n**2 + 0 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1355*p**3 + 297*p**2 - p wrt p?\nAnswer: -8130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-12)\/6 - (2 + -3))*-27. Let r be (-1*18\/c)\/((-2)\/6). Differentiate -14487*g + 16*g**r + 14487*g + 34 with respect to g.\nAnswer: 32*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 - (-17 + 56) - -18.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -684, -2737, -6148, -10917, -17044, -24529, -33372?\nAnswer: -43573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -244012376.733+-5\nAnswer: -244012381.733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 1 = -2*h + 4*b, h - 4*b - 11 = 0. Let q(s) be the first derivative of 0*s + 0*s**2 - 1 + 2\/3*s**h. Let x(o) = -4*o**2. Calculate q(x(w)).\nAnswer: 32*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + o**2 + o. Let p(u) = -7 + 3*u**3 + 3 + 0*u**3 + 156*u**2 - 3*u + u**3 - 160*u**2. Determine 6*j(i) + 2*p(i).\nAnswer: 2*i**3 - 2*i**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*l - 70*l - 46 - 1462 = 0. Put -4, l, -8 in decreasing order.\nAnswer: -4, -8, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d**(7\/3)*d)\/d*d*d*(d*d**(-32)*d*d*d*d)\/d*((d*d**(1\/51)*d)\/d*d)\/d**(2\/93))**(2\/45) assuming d is positive.\nAnswer: d**(-65354\/71145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together -52 and -1362530.\nAnswer: -1362582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.72, -162, -18?\nAnswer: 0.72","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 680 and 544?\nAnswer: 2720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 970 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of 7*p**4\/6 + p**3\/6 - p. Let s(x) = 2*x**3 - 9*x**2 + 6*x + 4. What is the remainder when s(5) is divided by d(1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/25 of a litre?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 39*x**2 + x - 9. Is w(2) a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2*b - 12 = -x, -4*x = -b - 9. Let q = 14 + x. Suppose -u - 5*p = -32, 0 = -p - 2*p + q. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8\/3 + -3. Let j = 8769.98 + -8769.88. What is the closest to j in g, 3, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 1\/1178, -27, -3, 2\/9, -5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4413128889 to the nearest integer?\nAnswer: 1640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 97*h - 533. Let l be q(-105). What is the greatest common factor of 3 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3045331 to the power of 1\/3, to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -0*u + 5*d - 7, u - 5*d - 29 = 0. What is the highest common divisor of u and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9240714 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 3 - 1. Let u be (s - 3) + 0\/2. Is (-875)\/((-4)\/4) - u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -4994, -4, 3, -0.078?\nAnswer: -0.078","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**7*(u*u**(-8))\/u assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, o: 1, n: 5, q: 3, g: 1, r: 1}. Give prob of picking 1 y and 1 g.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/161 and 65\/12551238?\nAnswer: 12551238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -95 - -95. Let h = -469 + 469.1. What is the nearest to h in -19, 3\/5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29\/597 - 199825\/597. Let p = -334 - v. Which is smaller: p or 35\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 1747783*s. Let h(t) = -360*t. Give h(i(d)).\nAnswer: -629201880*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of 1\/60*b**4 + 49 - 6\/5*b**2 - 2\/15*b**3 - 2*b. Determine t so that n(t) = 0.\nAnswer: -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 552 + -473.3. Let s = u - -11.7. What is s rounded to 0 decimal places?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131*v + 93*v + 126*v - 8*v.\nAnswer: 342*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 4*a - 70. Let c be z(6). Is -45 at least as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of s**6\/120 - s**5\/20 - s**4\/8 + s**3\/3 - s**2 + 4. Let i(t) be the second derivative of q(t). Determine i(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -172072128 divided by -32?\nAnswer: 5377254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -6*m - 14. Let s(v) = 4*v + 59 - 58 - 2*v - 5*v + 4*v. Give -5*s(a) - y(a).\nAnswer: a + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 183241943.\nAnswer: 549725829","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9082 * 28.\nAnswer: 254296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.06 (b) 0.3765 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*p + 30 + 26. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12207 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 1 + 7. Let n be (-92)\/(-6) - x\/(-12). Let u be (4\/15)\/(n\/(-40)). Which is the closest to -1? (a) u (b) -1\/4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 101, 225, -0.2, 0?\nAnswer: 101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 divided by 23?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 96635368?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + -7. Let j(l) = 2*l + 3 - l**s - 4 + 1. Give j(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -224361.4 rounded to the nearest one hundred?\nAnswer: -224400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 998481 by 30257.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 r when three letters picked without replacement from {r: 2, f: 16}?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 571020 divided by -2.\nAnswer: -285510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 18749 - (4 - -3 - 132\/11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 less than -9662\/66423?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(-2)\/(-32)*(-8)\/11.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7338204 and 29352816.\nAnswer: 29352816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 i when two letters picked without replacement from pmmi?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 a factor of 3828256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 2 - (15 + -19).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from omoooojoooo. What is prob of picking 1 o, 1 m, and 1 j?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + 25*t**2 + t - 23. Let b be v(25). Suppose -b*d + 11 = 13. What is the closest to 0.2 in -4, -5\/3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-175)\/765 + (30\/(-120))\/((-34)\/16)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 55*b**2 + 54640*b - 440643. What is u(8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hm when two letters picked without replacement from hmhjvheh?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 24. Is 138\/(-207) + (-2)\/(j\/8398) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*d**2*n + 13*d**2 - d + 138*n wrt d?\nAnswer: 4*d*n + 26*d - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (138\/72)\/(-23)*-3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 75\/6 - (-2)\/4. Suppose 2*q - 23 = -3*g - 11, 0 = -5*q + g + a. Let c be q\/(6\/8) + 17. What is the greatest common divisor of c and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 180 - 660 = 3*g, 3*g - 96 = q. Let t = q - -137. Does 11 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -76 + 70. What is the second smallest value in l, 5, 0.4, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/((-7)\/((-266)\/4)). Suppose 3*k + 5 = 4*c + 4*k, 5*c - 3*k - t = 0. Differentiate c - 2*n + 1 + 2 wrt n.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 AM and 3:59 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*t - 11*t = j + 3197, -4*j - 2*t - 12900 = 0. Which is smaller: -3222 or j?\nAnswer: -3222","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8981736559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 - 20. Differentiate 6 + 3*g**2 + r - 6*g**2 with respect to g.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 11) + (-6 - -15) + -1 + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w + 1978 = 2134. Which is the nearest to w? (a) -2\/3 (b) 0.5 (c) 4 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 - 3*c - 16. Give d(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10589311 to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 88119878 < 88119878?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((-1 + sqrt(80) - sqrt(80)) + -3) - ((sqrt(80) - (sqrt(80) + 1)*2) + 3*1*sqrt(80)))**2.\nAnswer: 224*sqrt(5) + 516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/7 in 3, -5, 2\/7, -2, -13?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 238563376?\nAnswer: 2, 14910211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 4*l + 4*u, -16*u = 19632*l - 19633*l - 87 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 11) to base 15\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2. Let p be (1\/3)\/(5\/30). Let w(z) = 3*z**2 - z**p - 6*z**2. Give v(w(t)).\nAnswer: 16*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 11\/54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - 52*h**2 - 652*h + 120. Determine k(-27).\nAnswer: -501","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 87490283 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -3067*q**2 + 19*q - 8*q + 3066*q**2 - 37 + 6*q. Determine o(13).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2798*r**3 - 668*r**3 - 673*r**3 - 706*r**3 - 702*r**3.\nAnswer: 49*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 + 4*c + 29. Let i be f(7). Suppose 4*l = 12 + i. Solve 0*w - l*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + 48\/(-64)*-32 + 26\/24?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 2, -2.\nAnswer: -11, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-4)\/(-8)*8\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7132954 divided by -33?\nAnswer: 7132954\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 132466872 divided by -3.\nAnswer: -44155624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -372251744 - 5\nAnswer: -372251749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0048913893 to 4 dps.\nAnswer: 0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -74.64 + 76. Let a = -1.3599849 + o. What is a rounded to 6 dps?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 3:52 AM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/7 (b) 2\/3 (c) 0.43174 (d) -324\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -94435329 and 45058.\nAnswer: -94390271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 29 = -2*f, 12*f - 11*f = -25*s + 88 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.5 - 1. Let z = -38 - -37. What is the closest to z in f, -3, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.865282 rounded to one dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + 3*h + 2*h**2)*(31*h**2 - 2*h - 50*h**2 + 35*h**2 + 2).\nAnswer: 32*h**4 - 4*h**3 + 4*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 5 = -3*u - 2*u, -d - 2 = -2*u. Let y(g) = -g + 356. Let k be y(d). Suppose -4*b - 2*a = -k, -4 + 0 = 2*a. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 2*j - 6, j = x - 0*j - 13. Suppose -2*r + x = 4*l, -2*l + 4 = 3*l + r. Which is greater: l or 9\/8?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22057 by -959.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1052887046 - 4125.\nAnswer: -4125.1052887046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i. Let b(v) = -24*v**2. What is z(b(g))?\nAnswer: 24*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -25928312, -25928311, -25928310, -25928309?\n\"Answer: r - 25928313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 275746542 - 0.1.\nAnswer: 275746541.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 - 23 = -5*z. What is the remainder when 131 is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29740803043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12515 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2326336?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 7*h**2. Let m(n) be the third derivative of 0*n**4 + 0*n**3 + 0*n - 14*n**2 + 0 + 1\/15*n**5. Give m(r(x)).\nAnswer: 196*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 3 = 18. Suppose -y = -f - 110, t*y + 5*f - 113 - 257 = 0. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 330 + -188. Suppose 3615 = -r*s + 147*s. List the prime factors of s.\nAnswer: 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.012972646 to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 131071529 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1000682?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2891 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of j**2 - 44. Let n(y) = -9*y. Calculate n(l(g)).\nAnswer: -18*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wdwdwwvhwvvddwddw. What is prob of sequence dww?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1080 and 906.\nAnswer: 163080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -391.6 + 391.8. What is the nearest to h in 10\/13, 2\/11, 17?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**5 - 177*u**4\/7 - 141*u**3\/7 + 277*u**2\/7 + 234*u\/7 = 0.\nAnswer: -1, 0, 9\/7, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1349 and 848450.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 - (-1 - -47 - 37)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*5*2*(5 + (sqrt(500) - (sqrt(500) + 4*sqrt(500)*-1)**2) - ((-5*-2*sqrt(500))**2 + 4)).\nAnswer: -3269940 + 600*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 54 + 3. Let p = o + 18. Let i = -25 - p. Solve 2*s + 0 - i = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 730, 5, 193 in descending order.\nAnswer: 730, 193, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 25\/2 of a century?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = 5*u. Suppose -11*m + 12*m - 10 = u. Suppose -54*x = -49*x - m. Solve -q - x = q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 + c. Let r(l) = 38*l**2 + 169*l + 6 + 14 - 203*l - 4*l**3. Let n(m) = r(m) - 10*w(m). Factor n(g).\nAnswer: -4*(g - 5)*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 189 - 182. Let p(y) = 2*y + 16. Calculate the smallest common multiple of p(o) and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -5*t - 12. Let c(d) = d + 203. Let z(w) = w - 38. Let i(q) = -c(q) - 5*z(q). Determine 3*i(b) - 4*j(b).\nAnswer: 2*b + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 134. What are the prime factors of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 14*f**3 + 28*f**2 + 5*f - 13. Let z(b) = -12*b**3 - 20*b**2 - 6*b + 13. Let i(a) = 5*s(a) + 6*z(a). Determine i(9).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2733 + 5323. Does 70 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 1610.0474\nAnswer: 805.0237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 26*g**2 - 51*g - 81. Let n be q(24). Let t = 148 + n. Put -9, t, 4 in decreasing order.\nAnswer: 4, t, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13601 (base 8) in base 13?\nAnswer: -297b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2713*p + 16350. What is the remainder when 1126 is divided by o(-6)?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + 4. Is (2 - (4 + a)) + 14 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223323 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204080 is divided by 608.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, j: 1, q: 2, e: 2, l: 1}. Give prob of sequence qjeo.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 75, 5, -8 in ascending order.\nAnswer: -8, 1, 5, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -483, -481, -479?\nAnswer: -477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*a**3 + 16*a**3 + 13*a**3.\nAnswer: 5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 802424?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1469 - -1475.07. Let j = 0.07 - k. Let r = -6.2 - j. What is the closest to -1 in -0.5, -2\/17, r?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -23. Let l(v) = -3 + 4*v**2 - 1 - o*v**3 + 15*v**3. Let m(y) = y**2 - 1. Determine l(g) - 4*m(g).\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 374*d - 21 = -376*d, -x - 4*d + 39 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 9:04 AM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*q = -26*q + 40063 + 8715. What is the remainder when q is divided by 308?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -10, -96, -328, -778, -1518, -2620?\n\"Answer: -12*b**3 - b**2 + b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 2*d + 2, 4*y = 29*d - 24*d + 5. What is the third smallest value in d, 74, 3?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 6*s - 13. Suppose s*l + 60 = 5*x - 0*l, -l + 24 = 2*x. Solve -f = 2*f + x for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1433 (b) -4 (c) 12 (d) 2\/43\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7101*k - 8658*k + 876*k - 207*k to the form v + o*k and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5646, -17147, -28648, -40149, -51650, -63151?\n\"Answer: -11501*v + 5855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 5*r**3 + 2*r - 1. Let g be l(1). Let q be ((-4)\/g)\/(1\/(-21)). Let c be (-5)\/(-20) + q\/8. Let o(y) = y. Calculate o(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -5*r + 6*r - 16, r + 2 = 2*u. Calculate the remainder when r is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -98.3 + 75146175\nAnswer: 75146076.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003721628 to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 344*f**4 - 26*f - 4.\nAnswer: 4128*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.049, 3, 2\/279, -0.2?\nAnswer: -0.049","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 4, 5 in decreasing order.\nAnswer: 5, 4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4106, 4108, 4110, 4112, 4114, 4116?\n\"Answer: 2*h + 4104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 247245 and -0.37.\nAnswer: 247244.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11924?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -51 - 209e8?\nAnswer: -20a49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 2219829962\nAnswer: -2219829961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 33, 43, 65, 105, 169, 263?\n\"Answer: i**3 + 3*i + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -20598*j**2*k**3 + 44*j**2 + 426*j wrt k?\nAnswer: -61794*j**2*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 1429084*c. Let q(j) = -2*j**2. What is q(a(b))?\nAnswer: -4084562158112*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19526 - 13196. Suppose -5*x - 25*x = -o. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.181 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/((8\/5)\/((-31)\/(-155))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (166\/59345)\/((-25)\/275)\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13263 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of -w**4\/4 - 2*w - 813. Let v(g) = -47*g. What is h(v(q))?\nAnswer: -6627*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 + r**2 - r - 10. Let n be h(-2). What is the second smallest value in 18, 1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -n**2\/5 + 636*n\/5 + 16241 = 0.\nAnswer: -109, 745","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2599216651?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-220)\/(-14) - (-2)\/7. Suppose 0 = 2*a - 5*b - p, 2*a + b - 40 = -0*b. Suppose 47*q = 77*q - 360. What is the smallest common multiple of q and a?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2817845 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 448 - 445. Let q(n) = -574*n**3 - 570*n**3 + 1143*n**v + 0 + 0 + 3*n**2 + 3*n. Determine q(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q + 3 + 1 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - g = 20. Calculate the lowest common multiple of 10 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -208248.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 519*j + 145. Let u(k) = 1557*k + 413. What is 17*h(m) - 6*u(m)?\nAnswer: -519*m - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 55.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6202192133 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 32491 divided by -23415?\nAnswer: -32491\/23415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 10*m + 2. Let t = -687\/4 - -3083\/18. Find the common denominator of l(-4) and t.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 8.370115 nanograms?\nAnswer: 0.008370115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c**5 + 10459366*c**3*q**3 + 5*c**2*q + 18092*c*q**3 + 2*q**3 wrt c?\nAnswer: -120*c**2 + 62756196*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 167003?\nAnswer: 23, 53, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5215\/4 - -1304. Suppose -n + 24 = 4*h + 3*n, 3*h = 3*n + 12. Which is the closest to 1\/7? (a) 6 (b) -3\/4 (c) v (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 + 22*v + 120. Let a be f(-9). Find the second derivative of -6841*r**3 + 6774*r**a + 0*r + 25*r wrt r.\nAnswer: -402*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*87\/(-58)*(-4)\/(-9)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*u - 102095 = 127*u. Which is the second smallest value? (a) 0.4 (b) u (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 1\/42436489?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 + 12*a + 11. What is the units digit of n(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 601254 by 300627.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (7 + -6)\/((-2)\/4564). What is the tens digit of v\/(-70) + (-3)\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10703729 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17784336?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -319, -2539, -8565, -20299, -39643, -68499?\nAnswer: -108769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 5 = 25. Let p(l) be the second derivative of -1\/6*l**h - l**2 + 0 + 0*l**3 + 2*l. What is the derivative of p(k) wrt k?\nAnswer: -4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1690751 (base 11) to base 15\nAnswer: 3ba7e4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -2\/29, 13\/1916, -1\/4, -16, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - -1)*3\/(-9). Solve q*f = f + 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 32\/3, -23.5, -3, 1?\nAnswer: -23.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(108) + -2 - sqrt(3)))**2 + 3.\nAnswer: -180*sqrt(3) + 714","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4263 and 50911?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f**2. Let b(h) be the first derivative of -2782*h**3\/3 - 8945. What is g(b(r))?\nAnswer: -15479048*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**8)**(-2\/13) assuming h is positive.\nAnswer: h**(14\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*j + 4704 = 9*j. Calculate the greatest common divisor of j and 480.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sq when two letters picked without replacement from qsqqqqsiqq.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*x + 10 = -23*x. Suppose 2*r - f = 7*r - 17, x*f = -r - 2. Let w(k) = 17*k - 2. Let o be w(2). What is the highest common factor of o and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -40549.535 to the nearest ten.\nAnswer: -40550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/11 (b) 2\/15 (c) 49731 (d) 2 (e) 21\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/63 and (12\/(-16) + 0)*(-445)\/(-45).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -6*z - 5 - 17 - 3. Suppose 2*w + w - 74 = 5*q, 0 = 3*q - 2*w + 45. What are the prime factors of n(q)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 412 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 109 - 54. Suppose y = -12*v + 223. Suppose 14 - v = 4*k. Put 2, k, 4, -3 in descending order.\nAnswer: 4, 2, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1499789.06 to the nearest 10000.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hxhxvmave. What is prob of sequence hxa?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15982477?\nAnswer: 7, 19, 17167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 6:54 PM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 2)*(221 + 263 + 48)*(p**2 + 2 - 2).\nAnswer: 1596*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*(-2)\/(-1))\/(96\/(-18))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -31, -61, -131, -259, -463, -761, -1171?\n\"Answer: -3*j**3 - 2*j**2 - 3*j - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4.24 and -9.\nAnswer: -13.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-16)\/120*(-6)\/2. Suppose 4 - 7 = -3*x. Which is greater: x or l?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35 - z - 2*z**2 + z.\nAnswer: -2*z**2 + 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6609 + 39653\/6. What is the nearest to 1 in i, -11, 9, -0.5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 1966?\nAnswer: -1961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 5, -54.4, -4, 0.3, -17?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 204018.4850151 - 204368.485. Let k = u + 350. What is k rounded to 6 dps?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 87978 and 774?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 + 2*b. Let y be (-3 + (-29)\/(-9))*-3*-9. Let t be y\/(-10) + 14\/(-10). Determine k(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of 0*a**4 + 0*a**3 - 1\/21*a**7 + 2\/15*a**6 + 0*a**2 + 2*a - 1\/10*a**5 + 0. Factor x(z).\nAnswer: -2*z**3*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 27 - (-7 + (-1 - 0)). Let m = k + -25. Solve -m - 6 = -8*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -28*d**2 + 6798468*d - 2888697946689\/7 = 0.\nAnswer: 1699617\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**2 + 2063 - 2068 + 0*n**2 - n**2 - n to the form m + r*n + f*n**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - p**2 - 4. Let w(l) = l**3 - l**2 - 3. Let a(d) = 6*d - 14. Let y be a(6). Let t = -18 + y. Calculate t*w(h) - 3*k(h).\nAnswer: h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, g: 5}. What is prob of picking 2 m?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 81975.5 and -34961?\nAnswer: 116936.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 176220 divided by -2.\nAnswer: -88110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1\/16 of a millisecond?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2122221122200 (base 3) in base 14?\nAnswer: -28c16b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1, -25, -1\/4, 18, -969?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-8)*(-12)\/(-9). Suppose -m + 3*s - 8 - u = 0, 4*m + s = 16. Let g = 5 - 5.3. What is the second smallest value in 5, m, g?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 21 - 9 - 4 - 8 - 1. Let r(n) = 5*n. Let t(o) = -31*o - 3. Let i(s) = 6*r(s) + t(s). Give -5*c(y) + i(y).\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7\/8 in -0.09, 2\/9, -34, -14, -0.2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, -40, -61, -98, -157?\nAnswer: -244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 122?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-20)\/((-4)\/1)*1. Let c(f) be the first derivative of f**2\/2 - 1. Let w be c(5). What is the greatest common factor of a and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {n: 8, x: 3}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1880)\/(7*(-5)\/(-70)). Round u to the nearest 100.\nAnswer: -3800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, v: 6, t: 7}. What is prob of picking 1 v and 3 t?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**5 - 15198*n**4 - 21986640*n**3 - 1257841650*n**2 + 11835064063875*n.\nAnswer: -3*n*(n - 589)*(n + 1885)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 14, j: 1}. What is prob of sequence ojo?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 75747268?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - 5888\/960 - 298\/15?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 284786*d**2 - 4028*d + 54 wrt d?\nAnswer: 569572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -9*b - 58. Let o(n) = 641*n**2 + 21*n + 1. Is o(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1561*p**6 - 3*p**2 + 220*p wrt p?\nAnswer: 187320*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -13, -5\/2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(28\/(-8))*3\/(-12).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 721246610 to the nearest integer?\nAnswer: 897","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqaqaqqqqq. What is prob of picking 2 q?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17533 and 4531.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnjk when four letters picked without replacement from kkkknnj?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1068560)\/7600)\/(19\/(-2)).\nAnswer: 74\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -5*w**2 + 8*w. Let x = 25 - 28. Let s(c) = 2*c**2 - 3*c. Let n(v) = x*q(v) - 8*s(v). Let d(t) = -137*t**2. Determine d(n(r)).\nAnswer: -137*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of 7\/720*u**6 + 0*u**3 + 0 + 0*u - 1\/45*u**5 - 1\/9*u**4 + 8*u**2 - 1\/1260*u**7. Let f(h) = 0. What is h?\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4961635, -4961638, -4961641, -4961644, -4961647?\nAnswer: -4961650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*c**2 + 10*c**2 - c**2 + 68*c + 6*c**2 as r + i*c**2 + g*c and give g.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of -77*h**5\/600 - 19*h**4\/30 + h**3\/15 - 946*h**2. Factor v(p).\nAnswer: -(p + 2)*(77*p - 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - 15*n**2 + 4. Let z be h(15). Suppose -2*v - z = 672. Let k = -4392\/13 - v. What is the nearest to k in 2\/9, 0.2, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/5 - 2 - -63. Calculate the greatest common divisor of g and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -4*u + 66 - 590, -125 = u + 4*g. Let r = 12881 + -12883. Does 2 divide u*(r + 60\/35)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/2*(-4)\/6. Let s(g) = -2*g**w + 3 + 5*g**2 + 3*g**3 - 2*g**2 - 4*g + 0*g**2. Give s(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 + (-3474)\/390)\/((-9)\/30)?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 109, 248, 453, 730, 1085, 1524, 2053?\nAnswer: 2678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-11) + 53\/11. Suppose -2*c = -5*s + 2*c + 418, 359 = 4*s + r*c. What is the remainder when s is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1416 = 4*z + 32*v - 36*v, 5*v - 366 = z. What is the nearest to 0 in -3\/5, z, 5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 5)*(2 - 3 - 2 + (-5 + 3 + 0)*(5 - 3 - 3) + 0 - 1 + 3)*(-3*y - y + 2*y).\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45\/(1575\/(-10)))\/(4*(-5)\/42)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 147*u - 819 = -230, -2*c - 18 = 5*u for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2570?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 20\/15*18\/8. Suppose q*j = 6, 4*y - 5*j = -j + 676. Suppose x + y = 6*x + 4*o, 0 = 3*o + 3. Calculate the remainder when 103 is divided by x.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*p**2 - 15*p**2 + 64*p**2 + (-5 + 3 + 4)*(-6*p**2 + 3*p**2 + 2*p**2) + 0*p + 0*p - 2*p**2)*(-3 + 7 - 3).\nAnswer: 63*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 2*y**2 + 2*y - 5. Let k = -589 - -586. What is t(k)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 285225 <= 285228?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-296)\/4*(5\/(-7))\/((-5100)\/3570)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(396) + (sqrt(396) + 1)*6)**2 + -5 + -2)*-5 + -1)*5.\nAnswer: -485830 - 12600*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 + 7*c - 3. Let b be a(6). Let p(x) = -x**3 + 24*x**2 + 27*x + 12. Let o be p(25). Let m = o + -66. What is the third biggest value in b, m, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34\/(-408)*1\/(-2)*4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -6*j + 44. Let n(d) = 11*d - 77. Let k(o) = -4*n(o) - 7*t(o). Let x(m) = 0*m + 18*m**2 + m - m. Give x(k(s)).\nAnswer: 72*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 49.1 - 2. Round v to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u**3 - 18*u**2 + 26*u + 311. Is i(-25) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 766881097 a multiple of 2313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -8*g. Let w be p(1). Let q = w + 7. Let l = 5 - 4.6. Which is the third biggest value? (a) l (b) q (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 5:31 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i + 30 = 4*i. Sort i, 0.06, 0.7 in descending order.\nAnswer: 0.7, 0.06, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170137.\nAnswer: 11, 15467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 77877 to the nearest integer?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/((-31)\/105 - 3\/(126\/(-4))). Solve -m = -f*b - 20, -m - 2 = b + 2 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 706449 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 415, 373, 237, -41, -509, -1215, -2207, -3533?\nAnswer: -5241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 5*m. Let l(f) = f**2 - 8*f. Calculate 7*k(n) - 5*l(n).\nAnswer: 2*n**2 + 5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -5*s + 5, -11*s - 12*u + 23 = -13*u for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 708*b**2*p + 8*b**2 + 7*b*p - 65*b + 44*p wrt b?\nAnswer: 1416*p + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 65*q - 1. Let f be m(1). Suppose -19 = -5*t - f. Let w = t + 15. Solve -3*z = -3*o - w, 0*o = -4*z + 2*o for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + d - 0*d - 59, 0 = 4*o + d - 239. Let q be o\/(-8)*(-2)\/3. Solve 20 = -2*b - 4*v, -5*b + 0*v = -q*v + 5 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -12821572\/185 and -69306 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 0 + 33. Let h = 10220 - 10208. Solve -7*w + y*w = h for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of w**4\/2 - 49*w**3\/3 + 27*w**2\/2 - w - 18. What is the remainder when p(24) is divided by 26?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.48 + 0.632. Let q = k + -0.1519846. Round q to 6 dps.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -26780092?\nAnswer: 13390046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4\/9, -4\/5, -68, 4?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 11228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1401385 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1748.4802 - -1748. What is g rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - r. Let x(l) be the third derivative of -l**6\/60 + l**4\/8 + l**2. Determine -6*m(a) - 2*x(a).\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4225668 divided by 1?\nAnswer: 4225668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21473.963 + 21465. Round t to one dp.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 4*c**2 - 2*c. Let q be f(3). Let r(v) = v**2 + 2*v + 3. Let l(s) = 4 + 529*s**2 - 1049*s**2 + 3*s + 1 + 521*s**2. Determine q*l(a) - 5*r(a).\nAnswer: -2*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + 64 + (-4)\/(-2). Let t(w) = -2*w**2 - 36*w - 26. Let u be t(-15). Suppose -x*g + 663 = -u*g. What are the prime factors of g?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37896 - 37869 = -27*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2000*q**3 - 15*q**2 + 2*q + 1. What is the units digit of t(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 1)*(-63 + 45 + 39)*(-39*s**2 - 48*s**2 + 8*s**2) - 2*s**2 + 3*s**2 - 3*s**2 as f*s + z + k*s**2 and give k.\nAnswer: -1661","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 + -16. Suppose n*y + 0*y - 5*m - 15 = 0, 40 = -4*y - 4*m. Let k(z) = 55*z**2 - 6 + z**3 + 3*z + 2*z - 49*z**2. Determine k(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9353 + 9386. Solve 23*a - 25*a + 14 = g, -5*a + t = 2*g for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-4 - (-4 - 2 - -6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 w, and 1 q when three letters picked without replacement from dqqddddwdqddxxw?\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -4*q - 2, 3*q - 1 - 15 = -5*d. Suppose 2 = q*a - 26. Let 10*r**2 - 4 + a*r - 8*r**3 + 0*r**2 + 0*r**2 = 0. Calculate r.\nAnswer: -1, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 4 - (65 - (27 + -31 + 0 + 19))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 - 2*o**2 - 2*o - 1. Let d be j(-1). Let p be -13 + 16 - (26\/(-7))\/((-200)\/175). What is the nearest to -1\/2 in d, p, -0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 0. Let z = -10\/99 - 4\/33. What is the second biggest value in 4, z, m?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x**3 - 117*x**2 + 131*x + 4250. Let d be q(-59). Let r = -0.1 + 0.1. Let c be (-2)\/(-2)*(-2)\/(-12). What is the closest to r in d, 2\/3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 0 + 4 = 3*c, 4*c = 3*f + 17. Let k be (1\/f)\/((-1)\/(-4)). Let l be 1 + -3 - 2\/(-1). What is the closest to l in k, -4, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 + i)*(-1 + 1 + 2) - i - 2 + 2 + (0 + 0 - 3)*(-i - 2*i - 4*i))*(-14*i - 11*i + 30*i).\nAnswer: 110*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 11) to base 16\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + 200200021121022?\nAnswer: 200200021121012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) - (sqrt(170) + (-1*sqrt(170) - sqrt(170))*-2))\/sqrt(10)*-1)**2.\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of 2*q**2 - 4*q + 2. Let k(r) = -r. Let i(j) = -3*k(j) - v(j). Let z be 26\/(-7) - 4\/14. What is i(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + -1 + (-30)\/(-34). Which is the nearest to 1\/3? (a) 5 (b) n (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-1)\/8)\/((-7)\/21) and -79\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 13 + 10 + (0 - 3 + 4)*(3 - 1 - 4) - 3 + 4 - 3)*(4*k**2 + 0*k + 0*k) to the form u*k**2 + q + z*k and give u.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 15, r: 3}. Give prob of sequence wwr.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 8 = -4. Suppose -4*n - 1 = f*l - 3*l, -l = -3*n. Let y(q) = 13*q. Give y(n).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35 + -33. Suppose 18 - 42 = -t*l. Suppose -3*v + 46 = -44. What is the highest common divisor of v and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 (base 13) in base 16?\nAnswer: -2f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 - (-98 + 21 + -5 + 13)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, i: 1, g: 1, c: 2, o: 1, z: 1}. What is prob of sequence jzcg?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 540\/32 - 5\/(-40). Solve 4 = -19*s + n*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 41*c - 12*c + 7*c + c + c + 0*c - 3*c - 4*c + 6*c + (1 + 0 + 1)*(-c + 0 + 0) - 2*c + 2*c - 2*c - 22 + 22 + 5*c.\nAnswer: 38*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9059*c**3 - c**2 - 4662*c.\nAnswer: 54354*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -15*o + 10. Let p(j) = -5*j + 225 + 226 - 675 + 227. Give -3*i(r) + 10*p(r).\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - 11*y**2 - 26*y - 15. Give z(13).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-203676)\/146190 + (-14)\/(-10). Which is smaller: n or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 815*a**4 + 3*a**3 - 3*a**2 - 6*a + 65. Let f(g) = g**4 + g**3 - 2*g + 1. Let p(r) = 3*f(r) - l(r). Find the third derivative of p(c) wrt c.\nAnswer: -19488*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -115.\nAnswer: 34.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 235413757?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 1.2. Let a = 1551 + -1546. Suppose -31*z - a*g = -36*z - 10, z + 5*g + 8 = 0. Put -4, z, i, 3 in descending order.\nAnswer: 3, i, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 4*f + u, f + 1 = -12*u + 14*u for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68447848?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 47 + -10. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/16)\/(-4*(-9)\/12)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, 128, 62, -1, 0, 2 in ascending order.\nAnswer: -5, -2, -1, 0, 2, 62, 128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27 by -2.\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.064 and -7.\nAnswer: -0.448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m - 9. Let c be d(6). Suppose -7*r + 2*r - 20 = 2*y, 4*y - c*r = 12. Suppose 15 + 0 = 3*x. Solve 2*b - x*b = y for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -43 + 43.51. What is c rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 8:05 AM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 times -0.1?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15510 is divided by 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -4. Let r = 1 + o. What is the first derivative of 0 + 2*s + r + 6*s wrt s?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v - 649 - 551 = 0. Let p = 17 + -5. What is the highest common divisor of p and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 370280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11143 - 11138. Solve 3 = -3*v - j*z, 3*v - 2*v + 4*z = -1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1540 (base 12) to base 2\nAnswer: -100111000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-805)\/(-35) - (2 + 5\/5)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 5\/2, 39268, -0.3, 0.32?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -9*g**3 + 2*g**2 + g - 5. Let t be x(3). Let m = t - -241. What is the smallest common multiple of 114 and m?\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l + 2. Let p be o(1). Let w be (-4)\/8 - (-94)\/p. Suppose -3*m - w + 6 = -r, r - 23 = 5*m. Solve q = -4*a - 3*q - r, -a + 2*q = 5 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -6*c - 2. Let m be 20\/(-15)*6\/(-4). Let o(z) = 3*z + 1. Give m*h(k) + 5*o(k).\nAnswer: 3*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*l + 128 = -24 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**5 - 467*a**4 + 1144*a**2?\nAnswer: -60*a**2 - 11208*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.996 + 2. Let s = i + -0.037. What is s rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 divided by -39?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 1 + (-41 - (-28 - 5)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 585.64782 nanoseconds to days.\nAnswer: 0.00000000000677833125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 11:26 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 4*n - 16 = 0, -2*n - 3*n + 20 = 0. Let z(u) = -u + 1. Let q be z(-2). Suppose 26 = h - 5*k - r*k, -4*h = q*k - 81. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 - 5*y - 13. What is the hundreds digit of m(-27)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -44*g**3 - 36*g**2 - 203*g - 7. List the prime factors of z(-7).\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of 8*m**3\/3 + 2*m**2 - 4505*m. Let a(j) = 3*j + 1. Let x be 68\/16 + -4 - (-86)\/8. Give x*a(u) - 2*b(u).\nAnswer: u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 1259.82697 to the nearest ten.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3122 - 1?\nAnswer: 3121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -377\/2, 8, -2, 0.2, -3 in decreasing order.\nAnswer: 8, 0.2, -2, -3, -377\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwd when three letters picked without replacement from {w: 2, d: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*g - 15 = -96*g. Let j = g - -20. Solve 2*h + 3*h = -j for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of r**3\/6 - 9*r**2\/2 + 59*r. Let x(k) = -k**3 - k + 11. Let b be x(0). Calculate l(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1340212 (base 7) to base 8.\nAnswer: 533165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1011246 divided by 168541.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 8:53 PM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + -5*(-6639)\/(-16048). Let f = -6\/1003 - z. What is the common denominator of f and 107\/12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69730.\nAnswer: 2, 5, 19, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.11386 and 0.25.\nAnswer: -0.528465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of 0*f**3 + 0 - 7\/2*f**2 + 0*f**5 + 2\/15*f**6 + 12*f + 0*f**4. Find the first derivative of q(h) wrt h.\nAnswer: 16*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -0.1, 0.2, -2\/9, -0.002 in descending order.\nAnswer: 0.2, -0.002, -0.1, -2\/9, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - (-2 - -2) - (27 - -2). What is the least common multiple of ((-2)\/4)\/(w\/(-32) - 1) and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6.9 less than or equal to 569?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 41 = 3. Calculate the remainder when m is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 z when two letters picked without replacement from phzkepn.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/6*27\/((-2106)\/(-52))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.124766kg in micrograms?\nAnswer: 4124766000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4485662 is divided by 747605.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rxr when three letters picked without replacement from xxxxrrxxxxxxx.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(882) - -1*sqrt(882)))\/(sqrt(864) + 2*sqrt(864) + sqrt(12)\/sqrt(32))*3)**2.\nAnswer: 84672\/21025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of 1\/24*r**4 - 1\/60*r**5 + 1\/6*r**3 - 8 + 0*r + 3*r**2. Let f(j) = -8*j**2 + 5*j + 3. Determine -f(c) + 5*p(c).\nAnswer: 3*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43754 and 1336.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 - -4 - -26 - (2 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 5 - 4 + 11*a - 10*a. Let l be p(1). Find the third derivative of -g**l + g - g + 3*g**3 wrt g.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 19807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1879)\/6454 + (-2)\/(-7). Let q = 2635159775255\/5532 - 476348483. Let i = d + q. What is the common denominator of 95\/14 and i?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 130 and 5731895?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of 3*c**2 + 1\/180*c**5 + 0*c**3 + 0 + 0*c**4 + 1\/180*c**6 + 1\/630*c**7 + 0*c. Factor a(v).\nAnswer: v**2*(v + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -2\/7, 1908?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-24)\/(-30)*(-30)\/(-1). Let a = -4 + 8. What is the remainder when a*2\/(k\/75) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 2:11 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -61*t + 214 + 30 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11212020 (base 3) to base 7.\nAnswer: -13221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21110122001 (base 3) to base 2.\nAnswer: 100011111000101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -52130 rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 y when two letters picked without replacement from pveyvptvvppyypvqqptp.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 5, -133, -5, 43, -8, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9918 - -128434.92866?\nAnswer: 138352.92866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 6:45 PM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 197321469031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o**2 + 3*o. Let w(v) = -v**2 + 9*v + 38. Calculate 3*t(x) - w(x).\nAnswer: -5*x**2 - 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 776*r**4 - 7*r - r**3 - 775*r**4 - r**2 - r**3 + r**2 as a + t*r**3 + p*r**2 + c*r + j*r**4 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-18)\/81*6\/8)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3*t**2 + 5*t + 3. Let w(p) = p**2 + p + 1. Calculate j(r) - 2*w(r).\nAnswer: r**2 + 3*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 759623 is divided by 1707?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 + 12. Suppose 0*u - 2*u - 13 = q, -5*q = -4*u - 5. Is g(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -74 - 68. Let v = -82 - r. Let m = -686 + 701. What is the greatest common factor of v and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - 14 = -704. Let g(s) = 46*s**3 - s + 1. Let q be g(1). What is the greatest common factor of n and q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 - 8)\/(1*-1). Suppose 5*t + 0*p = 4*p - 23, l*p + 5 = -5*t. Let r = 2 - 2. Put r, 3, t in ascending order.\nAnswer: t, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 + 6*p**2 + 22*p. Let f(q) = -2*q**2 - q. Give -6*f(u) - 2*l(u).\nAnswer: -2*u**3 - 38*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-3) + 455\/(-21). Let s = -28 - w. Let p be (-6)\/15 - s\/5. What is the highest common factor of 2 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 6450\nAnswer: 6450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5067974300.\nAnswer: 2, 5, 50679743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**5\/2 - 4*b**4 - b**3 + 26*b**2 + 73*b\/2 + 14.\nAnswer: (b - 7)*(b - 4)*(b + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 3*g = -1821. Suppose -4*n + 4*o = -804, -3*n = 3*o - 4*o - g. What is n rounded to the nearest 10?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 56?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.36 or -2\/11407?\nAnswer: -2\/11407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 30398868 and 0.06.\nAnswer: 1823932.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - 13*p**2 - 12*p - 29. What are the prime factors of j(-13)?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 272037\/8345 - -2\/1669. Which is greater: g or 32?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 359961, 359948, 359927, 359898?\n\"Answer: -4*y**2 - y + 359966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166 = 5*m + 4*c, -m - 4*m - 3*c + 162 = 0. Calculate the remainder when m is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20476 is divided by 10238?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 7\/5)*((-7992)\/(-296) + (-83)\/3)?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -1\/6, 0.06, 0.2, 141 in decreasing order.\nAnswer: 141, 0.2, 0.06, -0.1, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14848 is divided by 71?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 64 + 171. Let w = -405460166 + 405460401.000199. Let u = a - w. What is u rounded to 5 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -2 + sqrt(19) + (0 + sqrt(19))**2*4 + 3*(sqrt(304) + sqrt(19)) + 4*(-5 + sqrt(209)\/(sqrt(11)*-2)*3).\nAnswer: 10*sqrt(19) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1217 - 1712 + 2451)*(-2*u - 109 - 5*u + 108) as s*u + l and give s.\nAnswer: 3346","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -j**5\/30 + j**4\/12 + j**3\/6 + 3*j**2\/2 + j. Let g(w) be the first derivative of m(w). Give g(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48106523?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -225 - -553. Suppose -2*v - 2*a + 324 = 0, -a = 2*v + 2*a - h. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/4710270 and 117\/31520.\nAnswer: 75364320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 223*s + 24 = 231*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12366?\nAnswer: 2, 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((5 - 1) + -2)\/1. Suppose -d*z = -3*z + 126. Suppose 5*h - z = 154. Calculate the greatest common factor of h and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22600\/101 or -224?\nAnswer: -22600\/101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 166.918106032 and 0.02.\nAnswer: 166.938106032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - 48*m**2 - 10. What is q(48)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 3*u = -3*t + 17, 12 = -3*u. Solve 0 = -5*z + t*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -7*x + 9*x + 92*x**2 - 44*x**2. Let d(z) = 96*z**2 + 3*z - 1. Let w(g) = -2*d(g) + 5*y(g). What is the second derivative of w(n) wrt n?\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 divided by 272805?\nAnswer: -101\/272805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 + 33. Suppose 0*z - z - 3*t + 9 = 0, 5*z + 4*t = -w. Is -6 <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10320 = 96*l - 168*l - 186*l for l.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 + (-594)\/(-55))\/((-546)\/945).\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(-4\/5)*d)*d**(-3\/4)*d)\/(d**(-3\/4)*d)**7 assuming d is positive.\nAnswer: d**(-7\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 0.3936\nAnswer: -0.3936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -303, -278, -237, -180, -107, -18?\n\"Answer: 8*o**2 + o - 312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 79573079071 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2978626.408 and 0.\nAnswer: -2978626.408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 13822559 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 c(g) be the second derivative of g**2 + 0*g**4 - g + 0 + 1\/6*g**3 - 1\/20*g**5. What are the prime factors of c(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04 * -11.2.\nAnswer: 0.448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3911, 3907, 3903, 3899, 3895?\nAnswer: 3891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -356*v - 521763 = -372*v + 91613. What are the prime factors of v?\nAnswer: 2, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**1)**(-1\/4))**(2\/21)\/(((g*g*g**(-3\/2))\/g)\/(g*(g*g**2*g)\/g)*(g**(-6)*g)\/g**(1\/11)) assuming g is positive.\nAnswer: g**(2210\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -3683919.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 4:11 AM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 774*h - 20235 = 4608 + 20633 + 4834 for h.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57674758?\nAnswer: 2, 28837379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of 0 + 0*j + 8*j**2 - 1\/6*j**3 - 1\/24*j**4. Suppose -4*d - 18 = -2*o + 7*o, -3*o - 5*d - 3 = 0. What is a(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v**2 + 60*v + 28. Let z be 21\/(-35) + (-429)\/(-15). Does 7 divide h(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - t = -64, 5*r + 2*t + 41 = 109. Suppose -r*s + 28 = 2*s. Solve a - 6*a = 5*c + 10, -a - 3 = s*c for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 283591.\nAnswer: 7, 11, 29, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 - 6*a**2 + 8*a + 9. Let l be v(-7). Suppose l*h = -4 + 12. Solve -3 - 21 = h*u + 2*c, 5*u + 5*c = -40 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1832171 rounded to the nearest 1000?\nAnswer: -1832000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a micrometer in nanometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/291, -0.03, -3?\nAnswer: -2\/291","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -673*k = -689*k + 13536. Does 94 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -2*l**2\/5 + 41522*l\/5 - 1734420 = 0.\nAnswer: 211, 20550","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + 1)\/((-16)\/(-48)). Sort s, -2, 4 in descending order.\nAnswer: s, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/1 - (-7 - -3). Let x(l) be the second derivative of l**4\/12 + 3*l**2\/2 - l. Let b be x(0). Calculate the highest common factor of b and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1211520 (base 6) to base 8\nAnswer: 174650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80 - 4*b**2 - 89 + 169.\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 252018 from 1109474.\nAnswer: 857456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1854000 rounded to the nearest ten thousand?\nAnswer: 1850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -112.6228*-138.\nAnswer: 15541.9464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -80*y - 229. List the prime factors of p(-24).\nAnswer: 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + 12*p - 43. Determine t(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3929 or 3926?\nAnswer: 3929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 11:39 PM?\nAnswer: 8:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.9 + -11.9. Let o = 21 + s. Let b = o + -10.999989. What is b rounded to six dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1707311441 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3211070 is divided by 43.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -503?\nAnswer: 6\/503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 875105?\nAnswer: 5, 7, 11, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-165)\/55*(-3)\/(-15))\/((-9)\/10)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 101.414385 to two decimal places.\nAnswer: 101.41","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s**3 - 230*s**2 + 2*s - 225. Let d be z(115). Solve 0 = -4*x + d*f + 1 - 28, 4*x + 18 = 2*f for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.04 to 1 decimal place.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9197 + -1397951\/152. Which is smaller: 1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-3*sqrt(50))\/sqrt(10).\nAnswer: -18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0157 and -0.34.\nAnswer: 0.005338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 965?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 2*j + 385. Let a = j + 80. Suppose 15 - a = 4*i. Solve i*f = 7*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -4*y - 12. Let w be a(-9). Let g = w - 18. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h + 15. Let y(p) = -p + 5. Let w(v) = -v + 4. Let o(d) = -3*w(d) + 4*y(d). What is 3*a(g) - 5*o(g)?\nAnswer: 2*g + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*a**2 + 7 - 7 - 2*a**2 + a**2 + 3*a**2 - a**2 - a**2 + a**2 + (-1 + 1 - 1)*(0 + 2*a**2 + 0).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 93\/62*14\/3 + 5.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ctpptptt. Give prob of picking 1 c and 1 p.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 908*j - 83506. Give k(92).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27\/4*i**2 + 15\/4*i**3 + 21\/4*i + 3\/4*i**4 + 3\/2.\nAnswer: 3*(i + 1)**3*(i + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 3*i - 13 = 0, 69*x - 67*x + 5*i = -32 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - 2*o**2 - 3*o)*((1 + 1 - 1)*(7 + 4 + 2) - 6 + 1 - 10).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -214 + 223. Let c(i) = -i**3 + i + 24. What is the remainder when c(0) is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*c**2 - c + c - 3*c - 7*c**2 + 5*c.\nAnswer: c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 350 and 210.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.651 + -5.651. Which is the smallest value? (a) 0.6 (b) 2\/13 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -17d3 - 55e?\nAnswer: -1d42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*w**3 + 5*w**2 + 4*w**3 - 18*w**3.\nAnswer: -8*w**3 + 5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/1610 and -46\/75?\nAnswer: 24150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -1103?\nAnswer: 1043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/6 + (-140)\/160.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**4*n + 196081916*d**3*n**3 + d**2*n**3 + 6074388*d*n**3 + d*n**2 + 2*d*n + 9 wrt d.\nAnswer: 24*d*n + 1176491496*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 7*v + 5. Let b(c) = 3*c + 3. Let p(o) = 5*b(o) - 3*g(o). Let u be (-8)\/(-28) + 984\/(-14). Let k be (-3)\/(-7) - u\/(-49). Give p(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/7))**(-9\/4))**(3\/17)\/(i**(-1)*((i**0\/i)\/i)\/i*(i\/(i**1*i))**(1\/26)) assuming i is positive.\nAnswer: i**(6423\/1547)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 6*m - 3. Let b be a(1). Let s(f) = -6*f**3 + 1 + 7*f**3 - 4*f + 4 - b*f**2. Determine s(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -356 + 358. Calculate the remainder when 3 is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 6*s. Let k(a) = -6*a - 2 - 2 + 3 - 4. Let b(t) = t + 1. Let r(y) = -5*b(y) - k(y). What is r(f(h))?\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - x. Let u(l) = l**2 - l + 1. Let j be 14\/(-18) + (-32)\/48 + 8\/18. Give j*u(i) - 4*d(i).\nAnswer: 3*i**2 + 5*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3767 is divided by 1241?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-14)\/(-4)*12\/28. Let i(t) be the second derivative of 3*t**2 + 0 + 2*t + s*t**3 + 1\/4*t**4. Factor i(q).\nAnswer: 3*(q + 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-60)\/(-7) + (-57)\/(-133). Solve -s*q = -7*q + 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2203103331 (base 4) to base 6.\nAnswer: 22200513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of -61*g**8\/14 - 4823*g**4\/24 + 4394*g**2. Find the second derivative of f(w) wrt w.\nAnswer: -29280*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -55*o - 1590. Let z be c(-29). Solve 41*j + 8 = -a + 45*j, z*j = -3*a - 7 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -518*f + 245*f + 87*f - 826*f.\nAnswer: -1012*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 + 4. Let u(a) = -a**3 + 4*a**2 - 4*a + 3. Let d be u(2). Let z(p) = 3*p + 3 + p**2 - d*p. Let q be 5\/(-10 + 5) + 5. Give q*z(x) - 3*k(x).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13 is divided by 4\/(-2*5\/(-5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 465\/(-80) - (-78)\/(-416). Put 29, 5, l in increasing order.\nAnswer: l, 5, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42\/7*36\/24\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42395 by 5.\nAnswer: -8479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -222*f**2 - 216*f**2 + 24 + 431*f**2 - 119 in the form x*f**2 + c*f + a and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -111 and -18.\nAnswer: 1998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -19*b**3 + 2*b**2 + b. Let w be 2\/2 - (2 + 0). Let c be y(w). Let c*q**3 + 4 - 7*q**2 - 14*q - 6*q**3 + 3*q**2 = 0. Calculate q.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 5*n = -4 - 4, -6*n + 5*n = 162*h + 1777 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 8792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*m + 294 - 203 = -2702 for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -5 + (sqrt(11) - (sqrt(539) + -5 + sqrt(539) - sqrt(11))**2).\nAnswer: -1888 + 131*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1766?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 724 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112210 - 0.24239.\nAnswer: 112209.75761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2550 and 126854850.\nAnswer: 2550","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v. Let w(z) be the second derivative of 0 + 3*z - 2\/3*z**3 + 0*z**2. Give k(w(g)).\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 544, 905, 1302, 1753, 2276, 2889?\nAnswer: 3610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2545362 and 3690.\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 PM and 11:16 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/390 and 67\/35?\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-2)*(-948)\/395\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -60\/917 and 40\/651.\nAnswer: 85281","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*f - 0*f. Suppose -k = -5*t - 31, -4*k + f*t + 71 = -k. Let a be 2\/7 - 52500006\/k. Round a to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20690292 divided by 7.\nAnswer: -2955756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19019 divided by -1463.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*h - 78 = 34 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 42 - 28. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -111*z**5 + 4212*z**4 - 43839*z**3 + 73542*z**2 - 31860*z - 1944 = 0?\nAnswer: -2\/37, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 3840 divide 84924014?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.5 - 0. Let p = 10 + -17. Let f = p + 7.4. What is the second biggest value in b, 0.3, f?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 513 = -3*x - 96. Let j = 9 - x. Suppose j = q + 3*q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -4. Let a be (-2 + 0)\/(j\/3). Let k(p) = a*p - 7*p + 2*p. Let n(v) = -2*v. Calculate n(k(d)).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -214545 - -1?\nAnswer: -214544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*s = 105*s - 675. What is the lowest common multiple of s and 234?\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*((-10)\/(-36))\/5.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18052*z + 9026*z - z**3 + 9026*z.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.52832466 rounded to 1 decimal place?\nAnswer: -23.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {n: 1, d: 3, g: 4, q: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 28994, 28979, 28964, 28949, 28934, 28919?\n\"Answer: -15*a + 29009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 19*m + 53 = 0, -2*c + 18 = 4*m - 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 1 + 3 + 1 + 4*d - 6. Calculate the remainder when 6 is divided by m(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -139, -141, -149, -169, -207, -269, -361?\n\"Answer: -j**3 + 3*j**2 - 4*j - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14296?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 324 and 72?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 4*s**2 + 31*s + 11. Let v be p(-9). Calculate the greatest common divisor of v and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of -w**5\/15 + w**2. Let v(o) = 6 + 6 - 11. Let b(c) = -2*c + 6. Let l(d) = b(d) - 6*v(d). Calculate j(l(a)).\nAnswer: -16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003687 to four dps.\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/4, -0.4, -30494, -12, -3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 AM and 11:19 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*h - 3. Suppose -h*u - u - k = 65, 5*k = -3*u - 39. Let l = 32 + u. Calculate the remainder when l is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 407 and 25740?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 3*y - 12, 2*h + 3*y - 14 + 5 = 0. Suppose 0 = -c - 3*c - 8. Let x = c + h. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*p**2 + 3*p**2 + 0*p**2)*(-2*p + 3*p + 0*p) + 3*p**3 - p**3 - p**3 + p**3 - 3 + 3)*(44 + 30 + 1).\nAnswer: 225*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 157058 + -25737. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*a**3 + 12*a**3 - 5*a**2 + 6*a**2 - 61*a**3 to the form o*a**2 + p*a**3 + z*a + u and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4191 and 37719?\nAnswer: 37719","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -1 (c) 4\/3 (d) -0.11 (e) 22 (f) 0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 AM and 1:11 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**5\/2 + 7*n**4 + 7*n**3\/2 - 2*n**2 = 0. Calculate n.\nAnswer: -4, -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.096017*0.6\nAnswer: 0.0576102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -f - 4*i, -7*f + 2*i - 28 = -11*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**2\/5 + 1286008*d\/5 - 206727072008\/5 = 0.\nAnswer: 321502","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-616)\/(-33)*3)\/(4\/(-2)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3b7 (base 12) to base 5\nAnswer: -4241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yke when three letters picked without replacement from nkknynnkkkjnyjnjkkne.\nAnswer: 7\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.03 - 2.97. Let p = s + 1.8. Let q = p - -1. Sort -2\/5, 3, q in decreasing order.\nAnswer: 3, q, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(21120\/(-315) - -67)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6149933?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3\/63*469 - -1)*159\/1?\nAnswer: 2, 5, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -5*h + 28. Let d(o) = 1. Let u(k) = -3*d(k) - p(k). Let m be u(7). What is the closest to 1 in m, 5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -409485 - -409484.9. Let s = -0.7464 - -0.72. Which is smaller: x or s?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 6:38 PM?\nAnswer: 1:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1078, -1065, -1036, -985, -906, -793, -640?\n\"Answer: l**3 + 2*l**2 - 1081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30668 divided by -15334.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3497?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-1))\/(-122 - 1355835\/(-11115)).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6485751.5 rounded to the nearest 10000?\nAnswer: -6490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 209366 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**2 + 7*z - 24. Let d be t(-7). Suppose -6 = -22*k + d*k. Let q(s) = -s - 3. Let a(j) = -2*j - 4. Give k*a(l) + 3*q(l).\nAnswer: l - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let k be -5 + 6 + 3 + -12. Let y(b) = -b**3 + b**2 + 30*b - 23. Is y(k) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196 = -20*v + 836. Let z(t) = -2*t + 67. Let q be z(v). Suppose a**q + 0 + 4\/5*a**2 - 1\/5*a = 0. Calculate a.\nAnswer: -1, 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 165459 and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 PM and 5:31 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/24 and -29\/192075?\nAnswer: 1536600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**(-2\/3)*t*t))\/(t\/t**(-1\/4))*(t\/((t\/(t\/(t**(-1)*t)))\/t))**(-6\/35)*(t**1\/t)**(2\/21)*(t**1\/t)**(-47) assuming t is positive.\nAnswer: t**(-809\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*k - 104*k + 76 = -180*k. Let h = -3 - -1. Put 13, k, h in descending order.\nAnswer: 13, k, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + 1. Let r be 6\/(3*y\/(-18)). Let d(m) = m**2 + 9*m + 12. Let s be d(r). Solve 0 = -3*q + 5*v - 0*v - s, v + 16 = -4*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s + 2*s - 15 + 2*s - 4*s. Determine z(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1165 + 7789?\nAnswer: 88ee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2027, -2015, -2001, -1985, -1967?\n\"Answer: c**2 + 9*c - 2037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-30)\/(-24))*(-976 + 1188)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16261 - -16307. Let k = 30 - -85. Calculate the greatest common factor of k and i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7155.3 - -7155. Let l(m) = m**2 - 2. Let z be l(-2). Which is the biggest value? (a) -0.1 (b) x (c) z (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4450 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 9*b**4)*(-5 - 4*b - 6*b + 8) - 4*b**2 + 2*b**5 + 0*b**2 + 3*b**2.\nAnswer: -88*b**5 + 27*b**4 - b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -448.01 - -448. Which is the closest to x? (a) 5\/4 (b) 0.3 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f + 5. Let n(j) = -3*j - 6. Suppose -133 - 257 = 78*h. Suppose 7 + 1 = -2*c. Calculate c*n(x) + h*o(x).\nAnswer: 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.07 and -26137405?\nAnswer: -1829618.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/5)\/((126\/15)\/21).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 417, 3, -167, -4, -2, -5, 2 in descending order.\nAnswer: 417, 3, 2, -2, -4, -5, -167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*n - 5*v, 618*v = 619*v + 2. Calculate the highest common factor of 446 and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 3\/16 (c) 1\/9 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4040.5 + -4041. Suppose -4*j - 13 = -3*h, -22 = -4*j - 2. Which is the third biggest value? (a) r (b) h (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r + 75. Let l be c(22). Differentiate -l*u - 83 + 146 - 95 with respect to u.\nAnswer: -31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of -q**2 - 1. Let l(m) be the second derivative of -6*m + 0*m**2 + 1\/6*m**3 + 0. Calculate l(o(v)).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-21780)\/(-168) - (-1)\/(-7). Let c = t - 128. Let j = -1.1 + -2.9. Is c at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -7564399124 and 84.\nAnswer: -7564399040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -728*0.034\nAnswer: -24.752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - 11) + 4 + -8 + -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 815736 and 89532?\nAnswer: 7341624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 + 7*t. Let w be l(7). Let k(y) = y**3 - y**2 + 12. Is k(w) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 430574208 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -3 + 9 + l + 0*l. List the prime factors of f(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 52*b - 25*b + 5 + 65*b.\nAnswer: -12*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2941 or 150?\nAnswer: 2941","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kza when three letters picked without replacement from {a: 8, z: 1, w: 8, k: 1}.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/495)\/(1\/3)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1156, 669, -146, -1289, -2760, -4559?\n\"Answer: -164*c**2 + 5*c + 1315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -13*r. Let g be -3 - -1 - (-13 + 5)\/2. Let o(q) = -26*q**g - 21*q**2 + 42*q**2. Give o(m(f)).\nAnswer: -845*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1366.56908 rounded to 1 decimal place?\nAnswer: 1366.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (183 - 183)*(4\/(-5) - (1 + -2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*r = 54 + 21 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oeecqoqmerro. Give prob of sequence ce.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 15*g + 10 = -13*g, 0 = -a - 4*g + 17. Let p(b) = 11*b - 6. Calculate p(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-33) + 791*(10815\/385 + -28)?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-286)\/22*30\/(-65)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 62183 and 4872886.\nAnswer: 53601746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(252)*-2 + 5)*5 - (1 + (2 + (-1 + sqrt(252) - sqrt(252)) - sqrt(252)) + sqrt(252) + -2)**2.\nAnswer: -60*sqrt(7) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 11*s**2 + 3*s - 2. Is h(1) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - p - 8 = 0. Suppose -4 = -p*a - 2*a. Let w = -22 + 25. Solve w = i - a for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -3*t + 7. Let l(v) = -2 + 3*v - 6*v + 1. Let g be l(5). Let a(f) = -f**2 - 15*f + 21. Let y be a(g). Calculate x(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 833745.\nAnswer: 3, 5, 11, 31, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o + 2*o**2 + 6*o**3 + 2 - o**4 - 10*o**3 + 5*o**3 + o**3 to i*o**3 + u + q*o + y*o**4 + v*o**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -777*y**3 - 6*y**2 - 28*y - 56. Is x(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7, 45, 115, 191, 261, 313?\n\"Answer: -2*m**3 + 21*m**2 + 3*m - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 18 = 2*r + 3*f, 0 = -5*r + 2*f - 66. What is the second smallest value in r, 3\/4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(27\/6)*-12. Let s(g) be the second derivative of g**3\/6 - 7*g**2\/2 - g. Let n be s(l). Solve -f = -m + 3, f = 5*m + n - 24 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5767\/5 + 1153. Which is the closest to -66? (a) r (b) 0.1 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 15213711 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40076195?\nAnswer: 5, 47, 170537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -38218824 divided by 194994?\nAnswer: -196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 50 and 5?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1111102112221000 + 120?\nAnswer: 1111102112221120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 54402?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8388, -8386, -8384, -8382, -8380, -8378?\nAnswer: -8376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2175*r - 2171*r - 52 = 0. Solve -4*y - r = -1 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, h: 7}. Give prob of sequence qqhq.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 2*m + 326 + 258, 475 = -4*a + m. Let w = a - -56. Let z be w\/(-3) + 2\/(-3). Solve 4*t = -t + z for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9781860 and 92?\nAnswer: 224982780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -118124 - -170126. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.5 not equal to -437.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -4*o - 18. Let x be o\/(-8) - (-602)\/8. Suppose 6*s - 2*s = x. List the prime factors of s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/72 and 101\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1059 is divided by 46?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, 15, -8, 3\/14494, 4?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, a: 1, m: 6, q: 5}. What is prob of sequence qaqm?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 10:26 PM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 7*b**2 - 5. Let i(r) = r**2 - 1. Let v(l) = 2*i(l) - n(l). Suppose -3 = -2*u - 3*a - 1, 4*a - 41 = 5*u. Is v(u) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6 - 0)*(-3 - (-99)\/27). Solve n*t - 7 = -19 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of s**4\/4 - 7*s**3\/3 + 2*s**2 - 10*s + 133. Give r(7).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*a = -15*a - 77912. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1647193809?\nAnswer: 3, 19, 28898137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of u**8\/504 - 23*u**7\/315 + 31*u**6\/60 - 49*u**5\/90 - 47*u**4\/18 + 8*u**3 + 7157*u**2. Let j(y) = 0. Calculate y.\nAnswer: -1, 1, 4, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 4*z - 49036 = -2*t, 0 = -2*t - 4*z + 48964. What is the thousands digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 60 + -123. What is the tens digit of 8\/6*r\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -838 (base 13) in base 8?\nAnswer: -2567","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0\/((-2)\/(-2))*156\/(-7644)*7\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9617 rounded to 1 dp?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q + 7. Let r = 21 - 17. Let t be w(r). Solve h + 2*h = t for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -k, 4 = 2*y - 0*y. Suppose -l - k = -5*l. Is ((-6)\/(-4))\/(l\/226) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 143 + -141. What is the least common multiple of 70 and q?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2312430529 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 397216 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -32. Let d = 197 - 131. Let u = q + d. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 21\/4 of a centimeter?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 94030229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 2*g**2 - 914*g + 102800 = 0.\nAnswer: 200, 257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8456 + 11358. What is the remainder when m is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -0.2, 34, 3, 7 in descending order.\nAnswer: 34, 7, 3, -0.2, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 2*q + 20, -9*t - 4*q + 8631 - 8691 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 22*n**2 - n + 29. Determine r(-22).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3981253 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -254*w**2 - 3*w - 6. Let r(l) = -152401*l**2 - 1799*l - 3598. Calculate -1799*d(f) + 3*r(f).\nAnswer: -257*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 471638, 1886536, 4244700, 7546130, 11790826, 16978788, 23110016?\n\"Answer: 471633*o**2 - o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + 2*y**2 - 2*y - 3. Suppose -i = 2, 2*q - 3*i - 4 = 3*q. Suppose -q*g - 7 - 5 = -2*k, 3*k - 16 = 2*g. What is x(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 3*d**2 - 3*d**2 + 3*d**2 - d + 2*d + 4. Let g be j(-3). Does 7 divide (-14)\/((2 - 3)\/g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2\/7 - 99*r + 690\/7.\nAnswer: 3*(r - 230)*(r - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**3 + 5*j + 6 - 3 - j**2 - 2 to the form k*j**3 + v*j + m*j**2 + q and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27264 and 7764?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2682 and -216.\nAnswer: 579312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-141)\/282*3\/((-3)\/(-4)). Let d be -46*c\/24 - (-45)\/54. Factor -2\/3*k**3 - 2 - 10\/3*k**2 - d*k.\nAnswer: -2*(k + 1)**2*(k + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8357093?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 5*l - 22 = 3*l, -3*b - 5*l = 55. Let x = 67 + -52. Let s = x - b. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6672919.500565 + -6672944. Let a = q + 24.5. Round a to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -24. Suppose 8*y = -g + 24. Is y at most -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -869\/1080 - -1\/216. Let p(i) = i**3 + 10*i**2 + 3. Let n be p(-10). What is the closest to -2\/7 in -1, n, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34)\/((sqrt(10) + sqrt(10)*3)\/sqrt(5)) + sqrt(68)\/sqrt(4)*4 + -1*(1*sqrt(17) - sqrt(17)))**2 + -2.\nAnswer: 4881\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1364512 (base 8) to base 5\nAnswer: 44344102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (9 - -21) + -14 - (3 - -15)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 854*y**3 + 7853*y**3 + 4758*y**3 + 6232*y**3.\nAnswer: 19697*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 - 31*v + 264. What is the smallest common multiple of 24 and y(18)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34359788, -34359791, -34359794, -34359797, -34359800?\nAnswer: -34359803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 30 = -v, -3872*x + 3871*x + 3*v = -106 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 18814 and 47293?\nAnswer: 28479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2039, -2043, -2051, -2063, -2079, -2099, -2123?\nAnswer: -2151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20012021111 (base 3) to base 13.\nAnswer: -43675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 - 58\/3. Suppose -2*i = -10, k - 5 = -5*i + 23. Suppose -k*b = -2*b. What is the closest to l in -0.3, 1\/9, b?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 31524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14960 + 10026. Let x = 1894 + i. Round x to the nearest 100.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by 16 + 2 - (0 - -3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4079539 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1269 * 1.8.\nAnswer: 2284.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36 - 7. Let m = 43.00000326 + p. Round m to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/24 and -107\/6576.\nAnswer: 6576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.061*0.3\nAnswer: -0.0183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 - -27. Suppose -3*p - o + 100 = l*o, 4*o = 2*p - 74. List the prime factors of p.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, z: 7, h: 6, e: 4}. Give prob of picking 1 h and 1 e.\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1599)\/39)\/(-41)*(-15)\/6)\/(265\/(-4)).\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17296508903.050854078 - -4.050854078. Let y = -17296508624.00000517 - z. Let s = y + -275. What is s rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1200 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1468114420 divided by -3205490\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 27.2 to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = 4*t - 233. Does 3 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 125\/45 + 2\/9. Solve i*c + 4 = 2*c - 4*o, 5*c - 2 = 2*o for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 11:13 AM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 1725*c - 3486*c + 1679*c + 40 as m*c + h and give h.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 106 (base 10) in base 3?\nAnswer: 10221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 25*q**3 - 9 + 7.\nAnswer: -25*q**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3938699372 to the nearest integer?\nAnswer: 62759","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l**2. Let s = -9 + 9. Suppose s = -i + 1 + 2. Let h(p) = -p - 3*p + i*p. Give c(h(g)).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -12*y - 28. Let f(m) = -m**3 - 13*m**2 + 12*m - 32. Let d be f(-14). What is the least common multiple of 16 and z(d)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -226c (base 13) in base 8?\nAnswer: -11326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 414*r - 3369. Calculate g(9).\nAnswer: 357","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -7.5. Let w = v + 0.5. Let u be -6*(10 + 705\/(-70)). What is the nearest to 2 in w, u, -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*z - 105*z = -123 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - ((-60)\/4)\/5. Suppose -j = -u*j + 29. Let y = 5 + j. Is 4 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-40)\/6)\/(-2 - 336\/(-162)). Let q = j + 97. Solve -5*b = -25, 5*b - 24 = -4*u - q for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (53 - 47) + 1 + 3011. Suppose 0 = -8*b + h + 21838. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -2*s + 4. Suppose -2*n + 50 = 2*n + 3*q, 21 = n + 5*q. Suppose 1 + n = s*m. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 3223\/54872 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 3.02\nAnswer: 9.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 4*h**2 - 21*h - 1. Let m be p(5). Let g = 38 - 12. Let s = g + m. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of -o**6\/65 - o**5\/130 + 7*o**4\/39 + 4*o**3\/39 - 8*o**2\/13 - 20*o + 67. Solve w(x) = 0.\nAnswer: -2, -1, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from whhwhwwhhh. Give prob of picking 3 h and 1 w.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 27 = -5*s - 16, -4*s = -3*h - 7 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-10 - 3)) + -7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.04 (b) 0 (c) -0.3 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1 - (-3 + 3) - -51?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*g + 9 + 27. What is j in -4*j**2 - 4*j**3 + 76 - 38 - 30 - 4*j**g + 4*j = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 12:03 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 0.04, -0.2, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y - 65 + 79 = 0. Suppose -y*j = -j - 96. Calculate the highest common divisor of 224 and j.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 + -0.1. Let k(t) = t**2 - 8*t + 9. Let q be k(6). Let b be (-9)\/12*(-1 + q). What is the second smallest value in z, -5, b?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q - q**2 - 13 - 14 + 3. Let k be c(0). Calculate the common denominator of k\/(-33)*18\/(-4) and -28\/5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16.03*0.5.\nAnswer: -8.015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 less than -8451.6477731?\nAnswer: -8451.2477731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/2 and -11881.88 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8268 or -39?\nAnswer: -8268","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -31 divided by -861\nAnswer: 31\/861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73546718.\nAnswer: 2, 7, 257, 20441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - m**2 - 3*m - 4. Let b be z(3). Suppose -5*j + 100 = b*t, 5*j - 61 = -4*t + 37. Is j even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12.3 - 67.3. Let y = p + 52.8. Round y to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9667*w - 1156*w**2 - 9667*w + (0*w + 0*w + w)*(0*w - 3*w + w).\nAnswer: -1158*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1750 divided by -41\nAnswer: 1750\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3054 + -3053. Let l(d) = 886*d + 3 - 3 - 887*d. Let j(q) = 9*q - 4. Let w(i) = -3*i + 1. Let s(o) = -2*j(o) - 7*w(o). Give b*s(x) + 2*l(x).\nAnswer: x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00417 to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 126 (base 13) to base 14\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence depd when four letters picked without replacement from dddep?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 30, -6\/5, -0.1, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 59123670095.99797 + -59122876161. Let b = k - 793763. Let q = 172 - b. Round q to four dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 927823367 to the nearest integer?\nAnswer: 30460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 80, -4, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -222 - -219 - (2 - -6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2020*l**3 - 2*l**2 + 1. Is s(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*m + 98*m - 3084 = 0. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.33 + -317.67. Let r = -330 - u. What is the third smallest value in 0.4, -55, r?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2943, 3045, 3135, 3213, 3279, 3333?\nAnswer: 3375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 783 not equal to -0.0796?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)*3*-5)\/(-5*sqrt(8)*5).\nAnswer: 3*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1041232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*-2*sqrt(21))\/(2*sqrt(3)*-5))**2.\nAnswer: 252\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 7*o - 10*o - q, -4*q + 12 = -4*o. Let d(u) = 2*u + 26. Let r be d(-13). Put 102, o, -5, r in descending order.\nAnswer: 102, o, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*z + 24 = 188 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -304 divided by -16.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z - 3. Let p = -6 + 12. Let v be r(p). Let s(b) = 2*b**3 - 2*b**2 - 2*b + 2. Let h be s(2). Calculate the greatest common divisor of v and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14\/(42\/9) + 173. Solve 0 = 2*b + c - 166 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 573 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1545 or 346?\nAnswer: -1545","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -723350 + 12300842\/17. Let k = -229 + r. Let n(v) = v**2 + 5*v + 4. Let i be n(-4). Which is greater: i or k?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12072 divided by 2.\nAnswer: 6036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2600 = -241*j + 4941 + 13565 for j.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 4*o - 284, -410 = -3*g - 0*o - 2*o. Factor -f**3 - f - 69*f**2 + g*f**2 - 71*f**2.\nAnswer: -f*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 975 + -963. Solve -j = 380*d - 376*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k + 5*k - 152 - 7*k.\nAnswer: -2*k - 152","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 4*o - 34. Let x = 170 - 157. List the prime factors of p(x).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*w - w - w - 2*w to h*w + b and give h.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + -17. Which is the nearest to m? (a) 5 (b) -3 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-4)*5\/(-5).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -328016.73 to the nearest 10000.\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7303 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -30*g**3 - 135 - 185*g - 121*g - 42611*g**4 + 42614*g**4 - 204*g**2.\nAnswer: 3*(g - 15)*(g + 1)**2*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 + -27)*(-1 + 4 + -4). Let w be (2 - 60\/c) + 1. Which is smaller: 1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 1212, 43 in descending order.\nAnswer: 1212, 43, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-65*s - 270*s - 205*s)*(6 - 1 - 2).\nAnswer: -1620*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 14 - -25 - (-5 + 0 - -6).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of i**2*t**2 + 90*i**2*t + 10322*i**2 - 33405236*i*t**4 + 2*i*t - 2*t wrt t?\nAnswer: 2*i**2 - 400862832*i*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 16*j - 19. Let w(s) = 154*s. What is w(b(o))?\nAnswer: 2464*o - 2926","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, l: 3, f: 3, s: 1, p: 2, e: 3}. What is prob of picking 2 e and 1 s?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.1538607 rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 3) to base 16\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 589*d + 2199*d + 2310*d - 808*d + (2*d + 0*d + d)*(-3 + 2 + 0) in the form s + p*d and give p.\nAnswer: 4287","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4790650 and -0.4.\nAnswer: -4790650.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23 - 70\/3. Which is the second smallest value? (a) 0.4 (b) -2 (c) 1 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v - 8. Let g be b(-4). Let k = 1 - g. Let f be (-30)\/9*(-24)\/10. Solve -2*c = s + f, -k = 4*s - 2*c - 3 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 3 - 2 = -5*o, 0 = -6*o + 2*v - 6*v - 6 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8939 divided by 3.\nAnswer: 8939\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + 21*l**2 - 21*l + 16. Let h be 15\/(-1 + 28\/16). Let a be d(h). Let s = 12 - a. Is 9 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**4 + 61*i**3 + 256536*i**2 - 384907*i + 128312 = 0. What is i?\nAnswer: -344, 1\/2, 1, 373","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12830 is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*s**3 - 4*s - 3*s + s**3.\nAnswer: 15*s**3 - 7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 + 9*c - 8. Let a be g(8). Let r(w) be the second derivative of -2*w + a*w**2 + 0 + 1\/42*w**4 + 1\/21*w**3. Let r(h) = 0. What is h?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -897, 2\/9, -465?\nAnswer: -897","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 2 + -3 + (-6 - 1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k**2 + 0*k**2 + 2*k**2)*(24553 - 59211 - 27306 - 29310 - 8746 - 77881) to the form r + g*k**2 + b*k and give g.\nAnswer: -177901","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l**3 - 8*l**2 - 26*l - 6. Let z be v(-11). What are the prime factors of z\/30 + (-4)\/5?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 15001000?\nAnswer: -15001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of w**5 - 42698*w**3 + w**2 - 2385*w - 114 wrt w.\nAnswer: 20*w**3 - 256188*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2608?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 3*j - 160 = 0. Let k = -7 + 10. Suppose 4*t + 3*l + j - 107 = 0, -5*l - 49 = -k*t. What is the least common multiple of t and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3622 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - 1 - (12 + -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -520.232705 to 1 decimal place.\nAnswer: -520.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 86847945 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u**3 - 83*u**2 + 229*u + 10974. Determine s(-41).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 527, -2, 1, -42 in ascending order.\nAnswer: -42, -2, 1, 2, 527","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -5*p - 8. Let t(s) = -5*s - 9. Determine 6*g(x) - 5*t(x).\nAnswer: -5*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2 - -23) + (8 - 5)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 3*l = 24, -37*l + 51 = 2*v - 42*l for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 51097.26us?\nAnswer: 51097260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 - j + 14. Give n(-10).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 95*y - 307*y - 909*y**2 + 95*y + 121*y + 71 wrt y.\nAnswer: -1818","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0104772067 to 4 decimal places.\nAnswer: 0.0105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-25) - (-3780)\/(-2700)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-12) + 14 + (-1053)\/36.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*l**3*n**2*v**3 + 2*l**3*n**2*v**2 + 3*l**3*n**2 + 10*l**2*v**2 + 4*n**2*v**3 wrt v?\nAnswer: -108*l**3*n**2 + 24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/14)\/((-3)\/(-12)*-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3121 (base 8) to base 10.\nAnswer: 1617","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 995916845 to the power of 1\/3, to the nearest integer?\nAnswer: 999","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 254 is divided by -18*(-1)\/6 - -76?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + 2db?\nAnswer: 2d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 791232?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -0.3, -0.1, 0.1, 1, -13147?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 51892, -4, -3, 3, -5, -1, 1 in increasing order.\nAnswer: -5, -4, -3, -1, 1, 3, 51892","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (23 - (33 + -17)) + -18 + -1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of 1\/2*f**2 + 3 + 0*f + f**3. What is the second derivative of y(j) wrt j?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ykkkynkotk. What is prob of picking 1 y, 1 t, and 1 k?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 8*j + 48. Is 24 a factor of n(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -7*c. Suppose c = -4*q + 7*q. Suppose -20 = -4*i, -5 + 0 = p - 2*i. Sort -4, p, q in increasing order.\nAnswer: -4, q, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 8*l**2 - l + 1. Suppose -w = 2*g + 4 + 3, 0 = -2*w + 5*g - 32. Let j = w - -10. Let y = j + 2. Calculate c(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1702, 1707, 1710, 1711, 1710, 1707, 1702?\nAnswer: 1695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 456*l - 225*l - 824*l**2 - 231*l - 571*l**2.\nAnswer: -1395*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 - 38 + 1843*u**2 + 27 + 314*u**2 to q + p*u**2 + m*u and give p.\nAnswer: 2157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 25 = -5*i, 5*d - 6*i + 3*i = -37. Is 3 bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 6*v**2 - 5*v + 2. Suppose 3 = -0*m - 3*m - 5*h, 0 = -3*h + 9. Is l(m) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-59.979.\nAnswer: -11.9958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lhlhlh. Give prob of sequence hlh.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(2352))*-3.\nAnswer: -84*sqrt(3) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -317*i - 8 = -319*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*k - 14*k - k**2 + 0*k**2 - 3 + 2 + 4*k**2 to d*k**2 + g*k + h and give g.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 5*n + 9 = -20, 0 = 5*b + 2*n - 23. Suppose -k + 28 = 11. Let j(o) = 2*o**2 - 33*o - 15. Let z be j(k). Solve -b*t = z*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 268 + 112. Let q = 173 - c. Suppose q = 3*r - 8. Is 7 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -162 rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*n**3 + 324*n**3 - 43*n**3 - 237*n**3.\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**3*a**(4\/9))\/(a**0\/a*a*a**7*a)*(a**(2\/5)*a*a*a*(a\/a**5)\/a*a)**(-4\/11) assuming a is positive.\nAnswer: a**(-2147\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/54 - 145\/(-30)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -301.99 rounded to zero dps?\nAnswer: -302","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 244 by -2.\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/9))**3\/((z**7\/z)\/(z\/(z\/z**9*z))) assuming z is positive.\nAnswer: z**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 14 (b) -0.08 (c) -2\/9 (d) 10\/9 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1458029 to the power of 1\/4, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 23*y - 25. Let w be d(7). Calculate the common denominator of 2\/(-24)*(w - 9) and 149\/132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -72 (b) -2 (c) -2\/11 (d) -0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.5 - 3.5. Let y = 3826 - 3794. What is the closest to y in 0, r, -0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 330, 2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-3)\/u*u)\/u)**(-25)\/(u**(-2\/17)*(u\/u**(4\/5))\/u) assuming u is positive.\nAnswer: u**(8578\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 117\/4 - (-3)\/(-12). Suppose 5*o = -4*y + 241, 4*y = 3*o - 2*o - c. Suppose 4*d + 60 = 5*w, -8 = -3*w - d + o. Is w a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 9*o**3 - 22*o**2 - 5*o. Let y(g) = 6*g**3 - 14*g**2 - 3*g. Calculate 8*y(n) - 5*z(n).\nAnswer: 3*n**3 - 2*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 31 (b) 5 (c) 7429 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 5*v - 10 = 0, 0 = v - 2*v - 2. Suppose -5*q + 2*q - 4 = 4*y, 0 = -5*y - 5*q - l. Solve 3*u + 2*k - 12 = 7*k, -13 = -y*u + 5*k for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3638*o**3 - 4*o + 4*o + 3637*o**3.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 + -5 - -17) + (0 + -3 - 30)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*b**2 + 7*b**2 - 17*b + 17*b.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 4*n + 4. Suppose t + 48 = -3*b, 0*t - 2*t - 91 = 5*b. Let f(g) = -21*g - 20. Let z(r) = t*m(r) - 6*f(r). Differentiate z(d) wrt d.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - 44\/10 - -2. Let r be -8 + (-12)\/(-10)*5\/2. What is the nearest to j in r, -2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106429 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**2 + 4*y**2 - 3*y**2)*(292*y - 102415 + 102415)*(-5 - 9 + 10).\nAnswer: 2336*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-147)\/(-28) - (-2)\/(-8). Solve m + p*i + 28 = 5*m, 4*m - 4*i = 24 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 7 - (-8 - -20)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(2)*-2 + -5 + -2 - ((sqrt(96) + sqrt(24))\/sqrt(12) + 4)*2) + 0 + -1.\nAnswer: -14 - 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pwponoppnnwr. Give prob of sequence rwwo.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1020 - 3?\nAnswer: -1023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -41 or -39?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-3*sqrt(2904)*-2 - sqrt(2904)))\/((-1*(2*sqrt(132) - sqrt(132)) - sqrt(132))\/((sqrt(121) + (2*sqrt(121) - sqrt(121)) + sqrt(121))\/sqrt(11))).\nAnswer: 495*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.9 + -1.8. Let q = v - -0.5. Let l = -9\/8 - -1. Which is the smallest value? (a) q (b) 1\/10 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**3 + 0*f**3 + 0*f**3)*(2*f - 3*f + 3*f) + (-3*f**3 + 0*f**2 + 0*f**2)*(-114395 + 114395 + 200*f).\nAnswer: -602*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 113, 223, 333, 443, 553?\n\"Answer: 110*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 28 = 5*g. Let f = 6 + -4. Suppose -2*o + 0*x - x = -4, 2*o = -2*x + f. Calculate the remainder when g is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 3 + (3 - 1) - -10\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32254 - 32289. Suppose -71 = 4*k + 73. Which is bigger: o or k?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*f*s**4 + 18*f*s**3 + f*s + 49*s**2 wrt s?\nAnswer: -48*f*s + 108*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of 0*s + 1\/120*s**6 + 0*s**3 + 0*s**5 + 1\/6*s**4 + 3*s**2 + 0. Find the second derivative of h(t) wrt t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 - 0 - -19 - 73\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3404*y + 5. Let f(h) = 4*h. What is b(f(k))?\nAnswer: -13616*k + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 168*a**3 + 4*a - 3. What is the hundreds digit of w(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2197916689, 2197916688, 2197916687, 2197916686, 2197916685?\n\"Answer: -a + 2197916690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l - 236 = 226. Let p be l\/(-7)*102\/(-9). Which is smaller: 63 or p?\nAnswer: 63","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19255 is divided by 687.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/8 and ((-18)\/(-12))\/((-20)\/(-54)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.74 + -31.74. Put 5, k, -0.5 in decreasing order.\nAnswer: 5, -0.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 4*b - 22. Give y(9).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1490 + 5909\/4. What is the common denominator of -17\/4 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 11 + 45 = 0. Let u be 3\/12 + (-1449)\/v. Suppose 2*d = u + 52. What are the prime factors of d?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, -2\/145, -5.5, 4, 6, -12.\nAnswer: -12, -5.5, -2\/145, 0.06, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3 + 38*x**2 - 49*x**2 - 3. Let t(z) = -4*z**2. What is t(r(n))?\nAnswer: -484*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*a**2 - 15*a - 2079?\nAnswer: -14*a - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 0 - 43*h + 5.\nAnswer: -43*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 9310.\nAnswer: 102410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 0.2 (b) -21 (c) 2 (d) 32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 20*y**3 + y**2 + 2*y + 1. Let m be s(-1). What is the least common multiple of 14 and 21\/2 - 30\/m?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 33907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -110362 and 4?\nAnswer: -441448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + q + 20 = 38, 4*q + 75 = -3*m for m.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -0.08, 0?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a*a**(-2)*a))\/a*a)**(-1\/2))**44 assuming a is positive.\nAnswer: a**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 19 - 176. Let x be 4\/(-14) + (-22010)\/42. Let g = 3055\/6 + x. Find the common denominator of g and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u**2 - 3873*u - 30903. Determine c(-8).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {j: 1, d: 2, n: 3, o: 3, i: 1, r: 2}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -239190000 rounded to the nearest 1000000?\nAnswer: -239000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20.37 + -20. Let i = l + -0.57. Suppose 5*g + 2*b + 20 = 0, g + 4*b = -3*g - 28. What is the smallest value in g, i, -3, 2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-15)*((v\/(v**(-13\/6)\/v*v))\/v)\/v)**(-3) assuming v is positive.\nAnswer: v**(77\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-23)\/(276\/(-168)) - -446. Calculate the greatest common divisor of s and 253.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(5\/2)\/(s*s**(-2\/45)*s))\/(s**(-11)*s**(-3\/13)) assuming s is positive.\nAnswer: s**(13777\/1170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 6*s + 6. Let n(m) = 231584*m - 4 - 231591*m - 1. Determine -4*n(c) - 5*z(c).\nAnswer: -2*c - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -654, -6968, -24636, -59334, -116738, -202524, -322368?\n\"Answer: -946*i**3 - i**2 + 311*i - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141*q + 390 - 1960 = 2519. What is the smallest common multiple of q and 116?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xijxippppppexpnpip. What is prob of picking 1 j, 1 p, 1 e, and 1 x?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 120 and 180?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2629*n = -2622*n + 21 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(425) + -4)*-5 - ((-4*(sqrt(425) + -1))**2 + 1).\nAnswer: -6787 + 135*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 3, 262, -840.\nAnswer: -840, -1, 3, 5, 262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1479454 less than -8.6989316?\nAnswer: -8.5509862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -34982436412\nAnswer: -34982436416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4525 = 17*m - 80832. List the prime factors of m.\nAnswer: 5021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 + -63. Let u = a + 70. Solve -5*f + u = 3*r + 4, 0 = -r + 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2505235637 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hv when two letters picked without replacement from {h: 3, m: 2, v: 3, f: 9}?\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 10*v + 6019. Let w = 461 - v. What is the nearest to 1 in w, -3\/4, -4, -3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/3 + 16052*w\/3 + 32108\/3.\nAnswer: -(w - 16054)*(w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/(j**(-1\/6)\/j))\/(j*j*(j**(-1\/9)\/j*j)\/j))\/(j*j**(-7)*j**(6\/11)*j))**11)**21 assuming j is positive.\nAnswer: j**(7945\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -70224.7+41545\nAnswer: -28679.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {r: 4, x: 5, f: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and (0 - -1) + -6 + (8 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 478 less than -5?\nAnswer: -483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(90))\/sqrt(5) + sqrt(18))\/sqrt(9).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 132124 a multiple of 134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 b when two letters picked without replacement from {y: 1, f: 3, b: 2, x: 6}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 7*d**2 - d + 7. Suppose 3*o - 19 = 2. Let p be z(o). Which is bigger: -6\/13 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -8 + 0 - 2 - 2*q. Let o be x(-6). Solve 5*d + 7 = -4*h - 4, -4*h - 14 = o*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + -1)\/((-1)\/(-2)). Let u be (b\/(-2) + 1)\/(-2). Solve -j + 4*j - 6 = u for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**2 - 10*s - 51. Let h be a(-4). Suppose 21 = 2*g - h. What is the highest common factor of g and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -129595421\/2296 + 56444. Let q = u + 134805\/2296. Let h = -59 + q. Put h, -0.5, 1 in ascending order.\nAnswer: -0.5, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*y - 40*y + 4*y + 17*y + 11*y**2 - 5*y.\nAnswer: 11*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 8, -20, -4.\nAnswer: -20, -7, -4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*t = -12*b + 58*t + 45, -5*b + 11 = t - 10 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r + 3*r + 3*r)*(6 - 2 - 5) - 2*r - r + r - 5*r - 5*r + 0*r + (0 + 1 - 3)*(-5 - 4 + 3)*(3*r + 2*r - r)*(0 + 4 - 3).\nAnswer: 35*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4734746 is divided by 2950.\nAnswer: 2946","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 936 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(1\/18)*c**(5\/6)*c*(c\/c**(-16)*c)\/(c\/(c**(-6\/13)*c)) assuming c is positive.\nAnswer: c**(2273\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31037 + -30998.573. What is l rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/7)\/x*x)\/(x\/(x*x*x\/x**(-4)))*x**(-8)*x\/x**(-4\/3)*x)**(-22) assuming x is positive.\nAnswer: x**(-682\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8751096 times -7?\nAnswer: 6.1257672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -x**4 - x**3 - 2*x + 16*x**2 - 7 - x**4 - 13*x**2 as p*x**4 + m*x**2 + l*x + z*x**3 + c and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(1\/6))\/(n*n**(2\/25)*n))**(11\/5) assuming n is positive.\nAnswer: n**(-1507\/750)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 20654*x**3 + 6 - 2993841*x**3.\nAnswer: -3014495*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 675 a factor of 7251641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 2 + 2)*(2 + 0 + 0)*(-2*i - i + 4*i)*(2*i**3 + 0*i**3 - 4*i**3).\nAnswer: -4*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24705, 24710, 24717, 24726?\nAnswer: 24737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 453 - 273. Is g a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*(0 - 22\/(-6)). Calculate the remainder when 27 is divided by 1 - (2 + -4) - q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 8. Suppose 10*d - 14*d + 20 = r. Sort d, 3, 1 in ascending order.\nAnswer: 1, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*s**4 - 10*s**4 - 19*s**4 + (3*s**4 - 4*s**4 + 3*s**4)*(-4 + 0 + 3) - 5*s**4 - 8*s**4 - 15*s**4 as q + t*s**4 + m*s + i*s**3 + w*s**2 and give t.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1558.3 - -1558. Which is the second smallest value? (a) -2 (b) -2\/19 (c) 2\/5 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lgl when three letters picked without replacement from ksktklgsltltggkggk.\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -2*v + 31, -3*v + 34 = -0*t + 5*t. Solve 11 = -2*b + t*q, -2*q - 15 = 4*b - 5*q for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + 6*b**2 - 10*b + 49. Calculate v(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1900262 to the power of 1\/3, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6385 is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 221, 282, 377, 500, 645, 806, 977?\n\"Answer: -i**3 + 23*i**2 - i + 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in 5, -1\/4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = f + 4*q - 5*q, -4*f - 3*q - 6 = 0. Solve 0*r + 8 = 4*r - 4*z, f = -5*r + 2*z + 19 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 3*s - 5021 = 0, 4*x - 4*s = -9*s + 4997. What is the lowest common multiple of x and 1611?\nAnswer: 11277","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15913330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 15\/(-120) - (-438)\/48. Let f(s) = -s**2 + 13*s - 40. What is f(q)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2105 is divided by 2104.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -7*b + 246. Let t be l(0). Let r(g) = -246 + 10*g + 488 - t. Let q be r(13). What is the greatest common factor of 18 and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2 (b) -2\/5 (c) -5 (d) 2\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 251173 and 4043?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(13) + -1 - (sqrt(13) - (sqrt(130)*1)\/sqrt(10)))**2.\nAnswer: 6*sqrt(13) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/(-112))\/(96\/84).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -41469b (base 12) to base 5\nAnswer: -230231314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -w**3*z**3 - 92804120*w**3*z - w**3 + 16767883*w**2*z**3 + 3*z**3 wrt w.\nAnswer: -6*z**3 - 556824720*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = t + 9 - 4, k - 15 = 3*t. Let a be k\/(2 + -1)*1\/2. Let l(w) = 6*w + 2. Let p be l(a). Are p and -2\/17 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 0 - (5 - 4 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 617925 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from vlvalvvrrlplavxpvvpv.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -149.\nAnswer: -4\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 5*g + 4*b - 27, -17 = -g + 5*b. Let w = -5 + g. Solve -w*o - 6 = -5*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26807374 is divided by 41756?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3315\/52)\/(-17)*8\/(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 - 5*j. Let l be p(-6). Let r = 6 - l. Calculate the remainder when 22 is divided by r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*y)*(11 - 8*y - 11 - 11).\nAnswer: 16*y**2 + 22*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1429.1 + 1506. Let a = 74 - r. Let w = -3 - a. What is the closest to 0 in w, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 12:00 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 115?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9a0 + -1401?\nAnswer: -20a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/136 and 5\/358768.\nAnswer: 358768","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 66 = -6*w. Suppose -4*f = -w - 10. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence swfu when four letters picked without replacement from {s: 1, w: 6, f: 3, u: 3, q: 1}?\nAnswer: 9\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 316 > 501847\/1588?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of 12 - 3*j + 2*j**3 + 4*j**3 - 9*j**3. Differentiate q(y) wrt y.\nAnswer: -18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fyeeyyyyypfexffyyyef. What is prob of picking 1 x, 2 f, and 1 p?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -3*q + 55, -q = 4*q - 5*f - 50. Let r be q - -3 - 2\/(-1). Solve -r = 2*u + 2*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**2 - 13*p - 8. Let b be (-10)\/15*2\/(-4)*33. Is r(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16237 is divided by 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80148, 320575, 721268, 1282227, 2003452, 2884943?\nAnswer: 3926700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2150 - 1970 = 18*k for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4\/9 (b) 3 (c) 8028\/31 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1008) + (sqrt(1008) + sqrt(1008)*-1)*-3 + 1.\nAnswer: 1 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 0*u = 35. Let m be (-6)\/(-9) - u\/(-3). What are the prime factors of (2 - m)\/((-1)\/18)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 912085023 + -912085036.099998075. Let c = 13.1 + u. Round c to seven decimal places.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4197885571 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -4*v + 5364, -3*v + 2647 = 5*s - 1376. Is v a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3066 - 27592\/9. Sort i, 1, -5, 56.\nAnswer: -5, i, 1, 56","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8772 is divided by 145.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 17*m**2 - 435*m + 251. Determine w(25).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6380497 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7 from -226.1.\nAnswer: -233.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 532*o**5 + 577*o**2 wrt o.\nAnswer: 31920*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 2*r - 5*u + 2389, 4*u = 2*r - 4778. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/3 - 646*j**2\/3 - 53120*j\/3 - 51200.\nAnswer: -2*(j + 3)*(j + 160)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 477 is divided by 60?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1448968 by 568.\nAnswer: -2551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5528050 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*k - 27 - 53 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 20\/39 + 4\/(-6). Let s = -493 + 493. What is the closest to -1 in 1\/3, s, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -15051793\nAnswer: 1\/15051793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21 + 18151*i**3 + 18268*i**3 - 36621*i**3 to the form g + y*i**2 + w*i + t*i**3 and give g.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1146856 at least as big as 4\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22568342 by -11284171.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002385978683 to 4 dps.\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of h**6\/2 + 17*h**5\/5 + h**4\/6 + 167*h**2\/2 - 1277*h + 2. Find the third derivative of t(l) wrt l.\nAnswer: 360*l + 408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*l + 3*l - l to z*l + n and give z.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -145169\/10 - -14529. Let i = -23953\/14 - -1707. What is the common denominator of f and i?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*p + 0*p + 3*p)*(-2 + p + 2) - 3*p**2 - 3*p**2 + 7*p**2)*(2 + 6 - 4) + 1086*p**2 + 460*p**2 + 954*p**2.\nAnswer: 2508*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1898 and 146?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 13, -15, -4.\nAnswer: -15, -4, 2, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/8)\/((-1)\/(-4)). What is the units digit of (7 - 4)*w\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/(1*(-140)\/(-35))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4534641 + -2?\nAnswer: 4534637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 12729\nAnswer: 5\/12729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {p: 8, l: 5, b: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 4 (b) -61 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 + 195\/(-40) + 2994\/624. Which is the second smallest value? (a) f (b) -4 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 38 (c) -3 (d) 0 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -19596399 > 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4578 is divided by 31.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -7, 132\/13, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 201 - (158 - 64) - 88\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + 0)*21*1. Suppose -7 - 48 = -5*b. Let t = b - k. Is 14 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -57046200 to the nearest 1000000.\nAnswer: -57000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -3*z**3 + 105*z**2 - 60*z - 67. Let s(f) = -f**2 - 2*f - 1. Let l(h) = 7*s(h) - w(h). What is the second derivative of l(t) wrt t?\nAnswer: 18*t - 224","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**3 - 588592*k**2 + 21663712820*k - 822371379800.\nAnswer: 4*(k - 73555)**2*(k - 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 9. Let j be 4\/34 - 2742\/(-102). Let z = -24 + j. Calculate the least common multiple of c and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 22330263?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(3\/5)\/k**6)**(-8\/9) assuming k is positive.\nAnswer: k**(24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 8*a**2 + 20*a - 6. Calculate the remainder when (1\/1 - 0) + 16 is divided by s(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 4*v + 5*w + 928806, -10 = 5*w. What is v rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49481 (base 10) in base 5?\nAnswer: 3040411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -18, 6\/1273, -5 in decreasing order.\nAnswer: 6\/1273, -2\/13, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4 - 659*k**3 + 95118*k**2 - 372596*k + 369976.\nAnswer: (k - 449)*(k - 206)*(k - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 - 93*k**2 - 92*k - 1075. Give i(94).\nAnswer: -887","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.04387 - 0.04387. Let r(b) = -2*b**3 + 3*b**2 + b - 2. Let u be r(2). Put -0.3, u, d, -1 in increasing order.\nAnswer: u, -1, -0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*m = 290 - 1460. Calculate the greatest common divisor of m and 1573.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18965 rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 5*k - 5*h - 10, -5 = -h. Suppose 3*v - 4*g - 13 = -3, -4*g + k = 5*v. Suppose v*a - 29 + 23 = 0. Sort a, -5, 4, 0 in increasing order.\nAnswer: -5, 0, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 3*g**2 - 2. Let l be v(-3). Suppose 5 + 0 = -t. Let x(k) = -k**2 + 50. Let u be x(7). Sort l, t, u in ascending order.\nAnswer: t, l, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-162)\/(-21) - (-4)\/14. Let u(m) = -m**3 + 8*m**2 - 1. Let w be u(b). Let y be (3*w)\/(-2 - -1). Solve 0 = -4*h + n - y, -4*h - 2*n + 7*n = 15 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/((1*sqrt(21))\/sqrt(7)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a factor of 446632?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - 32 - (22 + -29) - 15.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3317 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 112, 90, 56, 4, -72, -178, -320, -504?\nAnswer: -736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 629409.9 rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 65\/4 + 7\/(-28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -841, -2 in ascending order.\nAnswer: -841, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 13, 37, 63, 91, 121, 153, 187?\n\"Answer: a**2 + 21*a - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from zxzxtzzxzztztv.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/5? (a) -0.3 (b) 5\/6 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*x + 17*x - 120 = -11*x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -40, -37, -32, -25, -16, -5, 8?\n\"Answer: g**2 - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.07901028 to three decimal places.\nAnswer: 13.079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mn when two letters picked without replacement from yqnmffq.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dx when two letters picked without replacement from {d: 4, x: 7}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 6*q + 20. Calculate f(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/12)\/5*195\/(-130).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 624 and 816.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 407 divide 1901465742?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pm when two letters picked without replacement from {m: 2, d: 1, p: 1, e: 1, l: 2, a: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 2. Suppose -7*k + q*k + 32 = 0. Suppose 11 = 3*o - 4. Calculate the remainder when k is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kmzwz. Give prob of sequence mkzw.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 874634540 a multiple of 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 2:47 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 238 = 12*r. What is the smallest common multiple of r and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -168 divided by -7\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 793 and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -60*b - 427. Give a(-8).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x - 14. Let i be o(-11). Solve -5*v + i*v = 15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and ((-114)\/342)\/(2\/(-8046))?\nAnswer: 5364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tfccfctcct. Give prob of sequence tt.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (21\/9)\/(3\/(-459)). Let m be (6 + (-100)\/12)\/(3\/189). Let h = m - f. What is the greatest common divisor of h and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10065 is divided by 1180?\nAnswer: 625","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 - 3*f**3 - 19 + 26 - f - 7 + f**2 to c*f + t*f**2 + n*f**3 + z and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 621 is divided by 321586\/529 + (-6)\/(-69).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1414, 2829, 4244?\nAnswer: 5659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 984127184 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 26950132 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1326, -2656, -3986, -5316?\n\"Answer: -1330*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -799 divided by -92.\nAnswer: 799\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i - 7. Let k be u(3). Let g(x) = -2*x. Give g(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.10472s in microseconds?\nAnswer: 24104720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-2)*(-120)\/150.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r + 22. Suppose q - 2*n - 2*n - 49 = 0, -4*q + 2*n + 196 = 0. What is the remainder when q is divided by b(9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -179 and 0.034.\nAnswer: -6.086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 4*t - 7*t - 45, -4*t = 4*s - 212. Suppose 15*b - 1692 = s*b. Are -47 and b non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 6 + 10. Calculate the remainder when m is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a microgram in nanograms?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -111804 by 2662.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 0*i + 18 - 27 + 5*i + 4*i + 8. Let r(v) = 3*v. Give -4*c(l) + 11*r(l).\nAnswer: -3*l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = g - 2464, 1826 = 3*h - 2*g - 0*g. What is the remainder when h is divided by 332?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/3 and -71 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/4)\/(p\/((p\/((p**(-9)*p)\/p))\/p)))\/(p*p*p**6*p*p*p**(-2\/5)))**(-1\/6) assuming p is positive.\nAnswer: p**(37\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -8 + ((-8)\/20 - (-24)\/(-15)). What is the remainder when 111 is divided by 46 - (-3 - (o + 1))?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1600.63 to the nearest ten.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14\/154 - (-64)\/22. Suppose g*v + 129 = 144. What is the lowest common multiple of v and (-13)\/(-2) - 1\/2?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -58093676 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 + p. Let j = 10 + -9. Let m be z(j). Find u such that -m + 3*u**2 + 8 - 12*u + 6 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(187) - (-5*2*sqrt(187) - sqrt(187))))\/(sqrt(396)*-1)*1.\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1416447 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of p**6\/60 + 17*p**5\/30 - 17*p**4\/12 - p**3 + 3*p**2 - p. What is the thousands digit of l(-16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 353 divide 1945523847?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 10. Suppose -4*y + 86 = y + x, y + s*x - 6 = 0. Is y a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33 + -18. Suppose -x = -3 - q. Calculate the smallest common multiple of x and 0 + 21\/3 + -5.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-4))\/(3\/30). Suppose -20*i - 373 + 473 = 0. Let o be -2*(-3)\/(-3) - -4. Solve r - i = -y - 3, -t = -r - o*y for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 340 divide 10435620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3417?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6101764993 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(77) + sqrt(77))*-2 - sqrt(77) - (sqrt(77) + (4*-1*sqrt(77) - sqrt(77))))\/(2*-3*(sqrt(700) - -2*sqrt(700))).\nAnswer: sqrt(11)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1.4 * -1078589\nAnswer: 1510024.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17 * 8.0937.\nAnswer: 137.5929","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 2257204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - -3)*(-2 + 0). Let f be t\/(-18) - 47\/(-3). Let s be -3 + (-1)\/((-2)\/f). What is the highest common divisor of 1 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 29*d**2 + 31*d + 5. Let l be s(-15). Suppose 2*v + 3620 = 3*n, 5*n + 5*v - 2*v = l. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -6*z**2 + 1122*z + 5768. Give k(192).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in sixty-nine halves of a centimeter?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-1)*s*s**(-3)*s)\/(s**(-2\/11)*s**(3\/8)))**(8\/5) assuming s is positive.\nAnswer: s**(-21\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/1390 and 109\/830?\nAnswer: 115370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -56*n**3 - 183*n**2 - 45*n = 0.\nAnswer: -3, -15\/56, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 81425 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -9 - ((0 - -64) + -2)\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -31 by -31.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 464265799 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 399 + -369. Is f at least as big as 32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37394867 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*c**2 - 2757742*c - 89509509.\nAnswer: -8*c - 2757742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 9245372422 from -4.\nAnswer: -9245372426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23759.06g to milligrams.\nAnswer: 23759060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -33 - 9?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/6)\/(38*16\/24624).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -97 + 95. Let a = 964.05 - 938. Let m = 0.05 - a. Is v at least m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 107341592 to the nearest integer?\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 - m - 9. Let x be b(0). Let i(h) = -3*h**2 + 10*h + 11. Let z(d) = -4*d**2 + 9*d + 12. Let o(f) = -5*i(f) + 4*z(f). Is o(x) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16526687209 + -0.075\nAnswer: -16526687209.075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 27*(-1 - (-28)\/12). Suppose 0 = 2*r - 4*t - s, -2*r = r - 2*t - 34. What is the least common multiple of 2 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/336*15*(-1)\/(5\/(-3))\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/1*(3 - 8). Suppose -5*k = -10, 0 = w*g - k + 7 - 0. Which is bigger: g or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/30*315\/420\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 12 + 7*b)*(8*b - 5*b**2 - 8*b) + 231*b**2 + 41*b**3 - 231*b**2.\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -d + 12. Let j = d + -2. Let i = 57034 - 741440\/13. Which is the nearest to -1? (a) i (b) j (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 1 = -3*v - y, 3*y + 9 = -3*v. Let t be (v + 0 - 2)*-1. Let p be -2 + ((-10)\/(-65) - (-180)\/13). Calculate the greatest common factor of t and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 3. Let x = p + 4. Let s be 2\/(-3)*282\/x. Round s to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = 4*l - 5, 25*l = 23*l - 2*i + 10 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 200483075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 173? (a) 2 (b) 144 (c) 97\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -368 - -388. Let r(s) = -30*s - 27*s - 33*s + d*s. Let q(f) = f**2. What is r(q(h))?\nAnswer: -70*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + q - 15 - 16, 3*j - 3*q + 21 = 0. Let l = 18 + j. What is the least common multiple of l and 7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 1778.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4*-48\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 519 divide 936276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 504.1 - 504. What is the closest to -1\/3 in z, -1\/9, 3\/5, 10?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -5.9. Let a = 4.9 - x. Let s = 0.2 + -0.1. What is the nearest to s in -0.4, a, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 (base 13) in base 7?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 5:56 PM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(5760)*-2 - -2*(sqrt(5760) - (sqrt(5760) - sqrt(5760)*-2)))\/((sqrt(800) - sqrt(800)*1) + sqrt(56)\/(sqrt(7) - sqrt(175))))**2.\nAnswer: 2949120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14fbb (base 16) to base 15.\nAnswer: -1a6ec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3185*g - 210 = -3183*g. Let z be 0 - (-1)\/((-2)\/(-320)). Let u = g + z. What is the greatest common factor of u and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -220221202221 (base 3) to base 12\nAnswer: -1b82ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 + 38*r - 18. Let b(u) = u + 6. Let h(c) = -3*b(c) - z(c). Let q(t) = -3*t. Calculate h(q(x)).\nAnswer: 9*x**2 + 123*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 165 divide 7094670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 232501.3 + -232527.300075. Let c = p + 26. What is c rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a + 7. Let l be b(-7). Suppose 0 = -4*v - l*f - 3*f + 7, -4*f = -4*v + 28. Solve -v = 4*r - 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14*(-5 + 54\/12). What are the prime factors of (-2 - (6 + m))*-107*1?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (3 + -3 + 6 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 4*q = -14, 7 = -4*t + 3*t - 3*q for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d**(1\/18)*d)*d*d*d*d)\/(d\/(d\/d**(2\/11)*d*d))*d\/(d\/(d*d**(2\/9)))*(d\/d**15)\/d assuming d is positive.\nAnswer: d**(-595\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110000110110000010 - -10000?\nAnswer: 10110000110110010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 217359.42 months?\nAnswer: 181.13285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -247, 10, -10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of -1\/6*p**3 + p**2 + 0*p + 0 + 3\/8*p**4. Is t(3) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 + r - 2. Let m(d) = 2*d**2 + 128*d - 11. Calculate -m(l) + 6*v(l).\nAnswer: 4*l**2 - 122*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 70 = 2*v - 2*p, 2*v = v + 28*p - 49 + 5 for v.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.51 - -0.21. Suppose 0 = 5*x - 12 - 18. Let r be (2\/x)\/((-8)\/12). Which is the third smallest value? (a) r (b) 3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/((k*((k\/k**11)\/k*k)\/k*k)\/k)*k**4)\/(k\/(k*k*k\/k**(-2\/17))*k*((k\/k**3)\/k*k)\/k))**(-8\/9))**(-7\/8) assuming k is positive.\nAnswer: k**(2275\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/18 of a day?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002235088 to seven dps.\nAnswer: 0.0000224","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -0*l + 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - 3*m - 2*m)*(-66*m**2 + 17 - 36 + 19).\nAnswer: 264*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3072) + -2)*1)**2.\nAnswer: -128*sqrt(3) + 3076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -34, -93, -148, -199?\n\"Answer: 2*v**2 - 65*v + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(57)\/sqrt(300))**2*3.\nAnswer: 557\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + 483989*q + 2. Let y(p) = 2*p. Calculate o(y(s)).\nAnswer: 4*s**2 + 967978*s + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.5 + 2. Let k = -6 + 7. Let v = 5 - k. Which is the second smallest value? (a) v (b) x (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/644 and -29\/3220.\nAnswer: 3220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 4*t**2 - 11*t - 45. Let b be u(13). Suppose -3*c = 2*i - b, 2*c - 214 = -5*i + 126. Does 8 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 0.8. Let c = 0 - -0.04. Let l = c - -0.36. Put g, -1\/4, l in descending order.\nAnswer: l, g, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -231477437*s - 86111405 wrt s.\nAnswer: -231477437","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12993 and 5.\nAnswer: 64965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 259208616.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3*f - 16. Let b be m(7). Suppose -5*t + j + 13 + b = 0, -2*j + 9 = 5*t. Solve -t*c - 3 = 12 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 2:40 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u + 13 - 132 = 0. Find the second derivative of 12*a + u*a + 13*a + 15*a - 64*a**2 - 77*a wrt a.\nAnswer: -128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 - -7.2. Let a = -6.9 + z. What is the nearest to -1 in 1, a, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - (22 - 6) - (6 + -9 + -48).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d**3 + 2*d**3 + 4*d**3 + (0 + 0 - d**2)*(-4*d + 6*d - 3*d).\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*c + 4. Suppose c*t = 11*t + 45. Let z be -1*(t\/(-1))\/(-1). Solve 4*f - 4*g + 16 = 0, f + 0*g + 4*g + z = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 1:15 AM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-1\/4)\/(s*s*(s\/s**(-3))\/s) assuming s is positive.\nAnswer: s**(-21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-860)\/(-85) + ((-72)\/(-12) - 15) + -1. Factor 0 + r*d**4 - 30\/17*d**3 - 250\/17*d + 150\/17*d**2.\nAnswer: 2*d*(d - 5)**3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-1\/19)\/i)\/i*i**10)\/(i\/i**(-4)*i*i*i*i*i*i\/((i\/(i**(-6\/5)*i))\/i)))**38 assuming i is positive.\nAnswer: i**(-542\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*c - 163 - 3 = -62*c + 770 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/7)\/((-81)\/74655). Calculate the highest common divisor of z and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87.4 - -19.\nAnswer: -68.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9371 + 15954 = -1224*j - 36554 - 36041 for j.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 101397197117 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6759143, -13518285, -20277427, -27036569?\n\"Answer: -6759142*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 6*q + 3*q**2 + 7 - 12 - 2*q + 3*q - 2*q**3. Let m be x(-4). Round m to the nearest ten.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7 + (6 - 0) + 2. Let y be 138\/(-184) + 1\/4*z. Solve -3*o + 1 = -2*b, -y = 5*o + 2*b - 3*b for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3*u + 1. What is the tens digit of b(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 22 = x, -a - 10 = -30*x + 37*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 36412\/2271 or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -10*x**3 + 2*x**2 + 3*x - 4. Give h(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 541, 548, 567, 604, 665, 756, 883?\nAnswer: 1052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 divided by -788220.\nAnswer: -43\/788220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of -o**3\/3 + 2. Let p(v) be the third derivative of -1\/30*v**5 + 0*v + 3*v**2 + 0*v**4 + 0 + 0*v**3. Calculate p(c(l)).\nAnswer: -2*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 - 19*b - 2. What is u(19)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -10. Let x(d) = 6 - d**3 - 5*d**2 - 7*d + 5*d**3 + 3*d**2. Let f(t) = 5*t**3 - t**2 - 7*t + 6. Let b(k) = -3*f(k) + 4*x(k). What is b(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 109.9, -44805, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**3 + 8*p**2 + 89*p + 1228. Calculate a(-11).\nAnswer: -1445","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - 15*p**2 + 362*p + 2. Give q(13).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of -25\/11*x**2 + 3\/22*x**4 + 0 + 1\/110*x**5 + 24*x + 5\/11*x**3. Factor g(d).\nAnswer: 2*(d - 1)*(d + 5)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 8:47 AM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16500 by -300.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = x - 3*x. Let v(s) = s**3 - s**2 + s + 1. Let h be v(3). Let n = x + h. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - 14*h**2 + 72*h - 30. Let o = 576 - 594. Let w be c(o). Put 5, -4, w in decreasing order.\nAnswer: 5, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8418\/460 + -18)*(-127 - -17)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - 3*k**2 - 6*k - 110. Let c(a) = -a**2 - 2*a + 1. Give -3*c(i) + p(i).\nAnswer: -i**3 - 113","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 2*j + 28 = 0, -57*j = 4*k - 52*j + 36 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -541 + 1?\nAnswer: -540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuu when three letters picked without replacement from {k: 1, u: 4, z: 6}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5680020904.\nAnswer: 2, 331, 2145023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-114)\/95*(-6980)\/6. What is the derivative of 7 - 7*h**4 - 1396*h**2 + b*h**2 wrt h?\nAnswer: -28*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d + 18 = 11*d. Suppose 0 = -3*t + d*t - 15. Let f(h) = 4*h + 23. Let o be f(-6). What is the closest to o in 0, t, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 PM and 10:53 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1*(0 + sqrt(1872)) + 5 + 1)**2.\nAnswer: -168*sqrt(13) + 1921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 408 + -403. Solve -g + 0*g - 25 = -i*w, -5*g = 5*w + 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 4)*(31 + -29)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3 and 1081595848.\nAnswer: 1081595851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6, 6, -0.04?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, z: 2}. Give prob of sequence rz.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8 or 66\/59?\nAnswer: 66\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 i when three letters picked without replacement from {l: 7, f: 1, i: 2, c: 4}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -5*q - 3, 15*i - 21*i - 7*q = 42*i - 493 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jcj. Give prob of sequence jc.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 12:39 AM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -158 + 170. Solve -5*g - c = g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 426 or 5556\/13?\nAnswer: 5556\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 11:17 PM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -77.1 - -77. Let w = -0.7 + 1. Which is the closest to k? (a) w (b) -0.2 (c) 5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*sqrt(65)*-6 + sqrt(65) - sqrt(65))*2)\/(sqrt(55)\/(sqrt(22)\/sqrt(2)) - (sqrt(5) + (sqrt(20)\/sqrt(4) + sqrt(5))*5 + sqrt(5))))**2.\nAnswer: 29952\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 10, e: 4}. What is prob of picking 4 g?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 186, 953, 3054, 7155, 13922, 24021, 38118?\nAnswer: 56879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.3 (b) 1\/90 (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.61 (b) -4 (c) -2\/9 (d) 24.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + 2*m + 1. Let j be p(-2). Suppose -16 = -5*l - j. Which is the smallest value? (a) -0.2 (b) -1\/4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 15) + (0 - 13) + 7?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.05295 + 5\nAnswer: 4.94705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 1258 = 10. What is the lowest common multiple of 20 and p?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - -2)*((-54)\/84)\/(-9). What is the second smallest value in f, 2, -1\/12, -0.1?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(364)\/(5*sqrt(14)\/sqrt(2) - sqrt(7)))\/((sqrt(96)\/sqrt(4))\/sqrt(6) - (sqrt(4) - (sqrt(576)*-1 + sqrt(4)))).\nAnswer: -sqrt(13)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x - 803*x - 84816 = 122*x + 261*x for x.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 0 + 2 + (233 - 237) - 42?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - -17 - 5*2*102\/(-170).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 5*d**2 - 6*d + 2. Let r(n) = -4*n**2 + 7*n - 3. Let z(b) = -2*i(b) - 3*r(b). Let s(a) = a**2 - 4*a + 2. Give -5*s(v) + 2*z(v).\nAnswer: -v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -87*x - 4. Let s(u) = 174*u + 7. Determine -5*n(b) - 3*s(b).\nAnswer: -87*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0382785785 rounded to three decimal places?\nAnswer: 0.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2172765 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c**3 - 2*c**2 + 2*c + 2. Let g(n) = n**3 + n**2 - n - 1. Let b(w) = -6*g(w) - 4*s(w). Suppose b(f) = 0. What is f?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (25\/5 - 21\/9)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 173 + -169. Suppose 3*r = 3*q - 0 + 3, 0 = -r - 4*q + 6. Suppose -3*i - r*j + 0*j = -151, -2*i + m*j + 90 = 0. What are the prime factors of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**2\/(c*c*c**(-3)*c*c*c*c))\/(c\/(c**5\/c)*c*(c*c\/(c*c\/(c\/c**(-1\/6))))\/c)*((c**(-2\/3))**(6\/25))**17 assuming c is positive.\nAnswer: c**(-283\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1907, 4129, 6895, 10475, 15139, 21157, 28799, 38335?\n\"Answer: 45*t**3 + 2*t**2 + 1901*t - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 80 + 11 = 0. What are the prime factors of k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 578089394?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -3*a - 31. Give y(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4107*x**3\/5 - 1006881*x**2 + 14126424*x\/5 - 9920976\/5.\nAnswer: 3*(x - 1223)*(37*x - 52)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*u + 193 - 257 = 0. Calculate the smallest common multiple of 39 and u.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*i**2*u*z + 395*i**2*u + 2*i*u*z - 3344*u*z - 4*u wrt i?\nAnswer: -22*u*z + 790*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2444253 (base 6) in base 7?\nAnswer: 1052445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -118317, -118363, -118431, -118515, -118609?\n\"Answer: q**3 - 17*q**2 - 2*q - 118299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + 23 + 2 + -9 + (-13 - (-24 - -11))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 14 - 2*n**2 - 19*n + 4 + 2*n. Suppose -3*c + 4 = -2*j, 0 = 4*j + 3*c + 2*c + 52. Is 10 a factor of s(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 6) to base 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -17*i - 569. Determine p(-31).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 494 is divided by 43.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37494\/35 - -1071. Let i = -1\/7 + u. Suppose -j = 2*j. Is i <= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 3*z - 30 = -2*p, 4*z = -5*p + 33. Let g be 8\/z*1*381\/2. Suppose 0*y + 3*l + g = y, 2*l + 4 = 0. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -1\/2*o**2 + 0*o + 13. Let q(b) = 1 - 1 + 4*b. Calculate d(q(t)).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -43 - -50. Let s(b) = 2*b - 9. Let a be s(5). What is the highest common divisor of a and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 27. Let o be 6\/9 - (-114)\/(-9). Let w = o - -12. Solve 2*u - 5*s + 17 = w, -u - 2*s - 8 = -n for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1031.7 and -5201427587?\nAnswer: 5201426555.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8262, 8265, 8278, 8307, 8358, 8437?\nAnswer: 8550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 35 + 11 = -5*t, 0 = -3*t + 2*p + 14. Calculate the remainder when 21 is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -362860.8 to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6674340 by -1668585.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5*y + 8 = 0. Factor -3 - f**4 - 7*f**y + 2*f**3 + 2*f**2 - 2*f + 9*f**2.\nAnswer: -(f - 3)*(f - 1)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 20*n**2 + 1. Give q(-1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 5*((sqrt(500)*-4)**2 + sqrt(500))*4)*1*-5.\nAnswer: -800000 - 1000*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of -3*s**7\/7 - s**5\/20 + 221*s**4\/6 + s**3\/3 + 2*s**2 - 7*s. Find the second derivative of y(u) wrt u.\nAnswer: -1080*u**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 + -15.59. Does d = 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-180)\/(-16) - 81\/36?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 + -1085.\nAnswer: -1084.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14109?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 10*o**2 + 96*o + 781. List the prime factors of t(-8).\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12805 and 7373119?\nAnswer: 2561","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 6:07 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -24 + 2 + 22 + 3*f**2. Let u(s) = -44*s**2. Give b(u(i)).\nAnswer: 5808*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-4\/11)*x**(4\/5))**(3\/38))**(-50))**(-7\/8) assuming x is positive.\nAnswer: x**(315\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 21*m + 494. Let o be h(-23). Sort o, -3, 2\/15, -0.1.\nAnswer: -3, -0.1, 2\/15, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*m + 287785 + 40452. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, l: 1, n: 1, m: 1, d: 1}. What is prob of sequence dmn?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -609, -16, 2, 1 in ascending order.\nAnswer: -609, -16, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = 3*m + 3, -4 = 3*x + 5*m + 1 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1063 divided by -1\nAnswer: -1063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6449 is divided by 716.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - 2 - (3 + -1). Let r = 0 + 6. Let f = r - g. Solve -f = m - 5*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1008)*6)\/(2*sqrt(363)))\/(sqrt(21)\/sqrt(28) + -2*sqrt(243)).\nAnswer: -24*sqrt(7)\/385","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.07 - -0.07. Which is the smallest value? (a) -0.1 (b) m (c) 3\/2 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 769864807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 690 + -686. Suppose m*c + q - 28707 = 0, 0 = -4*c - 4*q - 5268 + 33972. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-1021.466.\nAnswer: 3064.398","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: 1 - -1 - ((7 - -26) + -12)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -60, -125, -192, -261, -332, -405?\n\"Answer: -d**2 - 62*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -75*x - 27*x**3 + 2 + 7*x**3 + 37*x + 36*x in the form s + k*x + l*x**2 + a*x**3 and give a.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*w**3 - 177*w**6 + 9*w**2 + w**3 - 3*w + 8*w**3 + w**3 wrt w?\nAnswer: -21240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9 + 1\/9*w**3 + 17\/9*w**2 + 7*w.\nAnswer: (w - 1)*(w + 9)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 AM and 3:56 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 857\/8 + -107. Which is the second smallest value? (a) 0.5 (b) t (c) 1\/3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, m: 1, a: 2}. Give prob of picking 1 a and 1 m.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 137203 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.14 - -4.86. Let a = 2 - 2. Let g = 3359 - 3358.97. What is the closest to a in g, j, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of -3*t**5\/20 - 5*t**4\/12 + t. Let x(s) = -576 + 2*s**2 - 579 + 2*s**3 + 1732 - 577. Determine -2*v(n) - 5*x(n).\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101 + 11110121?\nAnswer: 11110222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37042438 to the nearest integer?\nAnswer: 6086","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 4*c**3 + 11*c**2 + 5*c + 16. Let g(q) = 11*q**3 + 32*q**2 + 15*q + 47. Let a(r) = -3*g(r) + 8*z(r). Is a(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1652*t**2 - 1632*t**2 + 60*t**5 - 275*t**5 - 177*t**3 - 78*t**3 + 450*t**4.\nAnswer: -5*t**2*(t - 1)**2*(43*t - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/11244 and -77\/8.\nAnswer: 22488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, 0.1, -42, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -348865 or -2790931\/8?\nAnswer: -348865","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03684 + 242.6.\nAnswer: 242.56316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4742 + -3512. What is the greatest common factor of 41 and d?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 138142978?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 193529690 to the power of 1\/5, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 1 = 9, 0 = -4*p + 3*g + 12. Suppose p*c = 3*c. Let f = -5 - -9. Solve 4*u - 32 = 4*i, c*i - f*i - 37 = -5*u for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1457*g**2 + 5*g**4 + g**3 - 1467*g**2 + 4*g**3.\nAnswer: 5*g**2*(g - 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, 25, 86, 161, 244, 329?\nAnswer: 410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 161 + 254*k**2 - 557*k**2 + 267*k**2 - 92 in the form r + o*k**2 + i*k and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 11*l**2 + 13*l + 17. Suppose -24 = -3*c + 5*c. Let r be y(c). Find k, given that -6*k**3 + 4*k**4 + 3*k**3 + 2*k**2 - k**r - 2*k**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 170259 and -0.5.\nAnswer: -85129.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.2, 0, 3, -29, 32\/31, 5 in descending order.\nAnswer: 5, 3, 32\/31, 0, -0.2, -1, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 0.88. Let t = 0.08 - g. Let j = 13 - 22. What is the nearest to j in -2, t, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = -32*u + 44346. List the prime factors of u.\nAnswer: 3, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 52, 196, -3\/7, -4\/7, -2\/65?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41\/(-41)*247\/19?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*f**2*l*p + 1659*f**2*l - 195*f**2*p - f**2 - 425*f*l*p - 117778*l*p wrt f.\nAnswer: 8*l*p + 3318*l - 390*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**7*b)\/b**(28\/9))**12 assuming b is positive.\nAnswer: b**(176\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 8178246?\nAnswer: -1\/8178246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -19777, -39459, -59143, -78835, -98541, -118267, -138019?\n\"Answer: -y**3 + 5*y**2 - 19690*y - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 6 = 4. Suppose -11 + p = -5*b. Let k(u) = -u**3 - 6*u**2 + 7*u + 2. Calculate the remainder when b is divided by k(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22*o**2*x**3 - 282*o**2*x - 39405*o*x**3 + 4098*o wrt x?\nAnswer: 132*o**2*x - 236430*o*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**2 + 3*z**2 + 0*z**2 + (39*z + 3*z + 107*z)*(-10 + 10 - 5*z).\nAnswer: -743*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-28))\/(7*(-4)\/84)?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -440 - -448. Let j be (-13 + -1)\/(2\/(-8)). What is the highest common divisor of j and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-6)*(-34)\/(-34).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 v when three letters picked without replacement from pvpvvpee.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x + 3*x - 2*x**4 + 0*x**3 + x**4 + 0*x**3 + (x + 2*x - 4*x)*(5*x - 2*x**3 - 5*x) + (3*x - x - 3*x)*(-3 + 3 - 2*x**3) - 26*x**4 + 0*x**4 + x**4.\nAnswer: -22*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -996, -1978, -2962, -3948, -4936, -5926?\n\"Answer: -z**2 - 979*z - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -83 + 79. Is 206*(2\/h)\/((-5)\/10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s\/s**(-3\/4)))**(1\/2) assuming s is positive.\nAnswer: s**(1\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 3698*b - 399266. Give p(108).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38 + -44. Let w = v + 3. Is w equal to -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5108*p + 1284*p + 822*p + 742690 = -5591*p for p.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**3 + 8*o**3 - 4*o**3)*(0*o + 3*o - 5*o)*(0*o + 4*o - 5*o).\nAnswer: 8*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1486?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1571927530.\nAnswer: 2, 5, 53, 2965901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 + 168. Let z = -186 - -189. Suppose 0 = 2*l - z*y - g, 4*l - 243 = -0*l - 5*y. List the prime factors of l.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 75 + 50. Suppose 0 = -5*n - f + 86 + 93, -3*n - 5*f = -z. Let l = n + 7. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-20)\/(2\/(-2200)*2\/220). What is o rounded to the nearest 100000?\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 3*r**2 + 340974*r - 1022949 = 0.\nAnswer: -113661, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6649245 and 25200?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34)\/(-34)*(8 + -8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(882)*2 - sqrt(882)) + sqrt(18))\/(sqrt(63)\/(sqrt(28)\/sqrt(4))) - -6*(1 + sqrt(6)\/sqrt(3) - (sqrt(200) - sqrt(200)*-2))**2).\nAnswer: -1020*sqrt(2) + 30294","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 8\/9 (b) 1\/5 (c) 0 (d) -2.62 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3*t**2 - 4*t - 1. Let w be (-35)\/(-11) + (-10)\/55. Let u be h(w). Let q = u + 3. What are the prime factors of q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 76, 7, 0.3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 63 - 62.8. Suppose -4*q + 20 = 5*s, 0*q - 3*q + 4*s = -15. What is the second biggest value in q, n, -0.02?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 518 - 519.029. Let a = f + 0.029. Let b = -5 + 4. What is the closest to a in b, -8\/3, 0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + 1021201202102?\nAnswer: 1021201202110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -313*b - 10. Let u be -3*6\/(12\/(-10)). Suppose 9*x = 4*x - u. Is y(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 4*l = i - 20, 4*i - l - 73 = 0. Let q = 26 - 12. Suppose -d + i = q. Solve -3*o + 3*p = -15, d*o - 17 = 3*p - 2 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by 17165?\nAnswer: -13\/17165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -9b001 (base 13) to base 6\nAnswer: -10005533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 194, 287, 380?\nAnswer: 473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -167.72 + 85.74. Round g to the nearest integer.\nAnswer: -82","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3. Let p be d(0). Suppose -j - 1 = p, 5*b + 317 = -0*b - 2*j. Let o = -38 - b. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 97 - 195. Let w = -70 - j. Suppose n - 5 = -0. Solve w = z - 5*d, n*z + 3*d = -0*d for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of 5*b**4\/24 - 2*b**3 + 18*b**2. Let y be c(12). Let p = 57 - y. Solve -3*s = 5*t - 34, -4*s - 5 = 2*t - p*s for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -73*b - 222. Let s be y(-3). Sort s, 18, 8 in decreasing order.\nAnswer: 18, 8, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) - sqrt(5))**2 + 5 - -5*sqrt(80) - ((sqrt(5) - (sqrt(5) + sqrt(20)\/(sqrt(144) - sqrt(4)) + sqrt(5))**2)*-6 + 3).\nAnswer: -691\/5 + 26*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9236443589 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 82883 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -6682828.568 plus -0.1?\nAnswer: -6682828.668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10300059.27 rounded to the nearest 100000?\nAnswer: 10300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7720 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 2*i - 956, -i + 88 + 149 = y. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31 is divided by 20?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 61 - 59. Is (-46 + x)*14*1\/(-2) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = z - 4. Suppose z = 5*m - 0*m. Solve -3*h - 3 = -m for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 41986 and 13744417.\nAnswer: 2999","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z + 13. Suppose -15 = 3*a, -2*p = a + 4*a + 17. Let o(n) = n - 6. Let b(g) = p*q(g) + 9*o(g). Give b(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -576 = 35*i - 47*i. Suppose 0 = -55*q + i*q - 35. Let r be (-32)\/14 + (-4)\/(-14). Which is bigger: q or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 222 divide 619529759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -85, -26219 in descending order.\nAnswer: 5, -85, -26219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -116*u**2 + 482*u. Let n be a(2). Calculate the greatest common factor of n and 300.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2504*v**5 - 20*v**4 + 42*v**3 - 4164968*v**2?\nAnswer: -150240*v**2 - 480*v + 252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3648?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/2*(-5 - -3). Let y be 4\/(-12)*(-399 + 384). Which is the biggest value? (a) y (b) -0.22 (c) 2\/5 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 299777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 5 = -4*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1915 - -2905. Let p be 2\/(-11) - i\/(-121). Let q(l) = l**3 - 9*l**2 + 9*l - 7. Calculate q(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189571.\nAnswer: 293, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do 140 and 141 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -4*s**3 + 5*s - 6. Suppose 3*f = 10 - 19. List the prime factors of v(f).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 4 = -4*u. Let d be 0\/2 + u + 3. What is the common denominator of (17\/(-11) + 0)*d and -53\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23\/12 - 5\/3. Let l be (-2)\/6*21\/(-28). Factor u*b**4 + 0 + 0*b + 1\/4*b**5 - 1\/4*b**3 - l*b**2.\nAnswer: b**2*(b - 1)*(b + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*n + 6*n**2 - 15*n to c*n + h*n**2 + s and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - x = 281016, -3*x = -22*x - 76. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*0.108\nAnswer: 0.432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/sqrt(2) + -4 + 2)**2 - (-3 + (sqrt(75) - (0 + sqrt(75)) - sqrt(75))**2).\nAnswer: -65 - 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f**2 + f + 1. Let l be a(-1). Let r = 174 - 171. Calculate the greatest common factor of r and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -36*r. Let y(t) = 37*t. Determine -3*v(x) - 4*y(x).\nAnswer: -40*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 11, 4, 10?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3*j**2 - 11*j + 5. Let l be m(-8). Let t = l + 139. What is the common denominator of -39 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18265538 or -18265536?\nAnswer: -18265538","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.8 - -7.2. Let l = m + -11. What is the nearest to 0 in -0.1, -3, l?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -2, -47 in increasing order.\nAnswer: -47, -3, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -529*z**2 - 807*z**2 + 43*z**2 - 337*z**2.\nAnswer: -1630*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of 0*h + 7*h**2 + 0*h**4 + 0 - 4\/3*h**3 + 2\/15*h**5. Differentiate a(s) wrt s.\nAnswer: 16*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 8*c**2 + 4*c - 1. Let x(v) = 6*v**2 + 2*v - 2. Give 2*q(a) - 3*x(a).\nAnswer: -2*a**2 + 2*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183142 is divided by 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 8530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 + 2*v - 26. Let a(b) = b**3 - 15*b**2 - 16*b - 11. Let n be a(16). Is 16 a factor of o(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 10, x: 4}. What is prob of sequence ii?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 3506, 2, 29, 5, -1, -2, 4 in ascending order.\nAnswer: -2, -1, 2, 4, 5, 29, 3506","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 25666 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 530693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(3*sqrt(209) - sqrt(209)))\/(sqrt(110)\/((sqrt(40)\/sqrt(4) - sqrt(10)) + sqrt(10))).\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 3*g - 21. Let t(a) = 2. Calculate 2*t(p) - x(p).\nAnswer: -p**2 + 3*p + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 8*z - 10*z - 11 - 13*z. Let r(g) = -5*g - 3. Let h(p) = -p - 1. Let d(k) = -2*h(k) - r(k). Determine 6*a(s) + 13*d(s).\nAnswer: s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -900760227, -900760224, -900760219, -900760212, -900760203?\nAnswer: -900760192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 376.351ml?\nAnswer: 0.376351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-1\/5)*(((a**(-1\/12)\/a*a)\/a)\/a)\/a assuming a is positive.\nAnswer: a**(-197\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(2\/5)*b)\/b)**(-8\/7)\/(b**2)**(7\/12))\/((b*b*b*b*b*b**(-2)*b*b*b*b*b)**(4\/3)*(b\/b**(3\/7))\/(b*b**8)) assuming b is positive.\nAnswer: b**(-1051\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u - 3*u + 15. Solve 4*p = 7 + u for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 658773886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - 2*q**2 - 5*q + 1. Let g be h(5). Let r(t) = g - 51 - 3*t. Let z(b) = -12*b. Give z(r(l)).\nAnswer: 36*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 AM and 7:14 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 + 2 + 2*w - 3 - w)*(-31*w**2 + 225 - 225).\nAnswer: -62*w**4 - 31*w**3 + 31*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36916 and 790338?\nAnswer: 1678","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -229 + 271. Sort -2, 4, o.\nAnswer: -2, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 + 9*o - 3. Let d be j(6). Let y = 22 - d. What is the remainder when 27 is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 132 and 792.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.05424 + -0.00053. Let u = -248.75371 + r. Round u to the nearest ten.\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -344799382, -344799373, -344799350, -344799307, -344799238?\nAnswer: -344799137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 36 + -9 + -22 + -5 + -1\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u**(1\/4)))**14*(u**(-1))**(5\/3) assuming u is positive.\nAnswer: u**(-31\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o - 5. Let j = 25 - 20. Let m be y(j). Solve 5*c + 11 = 3*g, -c + m*c = -4*g + 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 11479, 11482, 11485, 11488, 11491, 11494?\n\"Answer: 3*b + 11476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) - 6*(sqrt(76)*3 + sqrt(76) + sqrt(76)))\/sqrt(4) + (6*sqrt(152)*-2)\/sqrt(8).\nAnswer: -41*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -374*s**2 - 2 + 3 - 30 + 29.\nAnswer: -374*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 10:33 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 24223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 27543 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 58 = 6*d - 5*d, 2*d - 155 = 5*b. Is 5 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b - 5*b + 12 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76293?\nAnswer: 3, 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -412444044 - 2?\nAnswer: -412444101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 27 - (-2)\/((-2)\/(-1)). Suppose -r - m = m - 14, -r = 5*m - 29. What is the highest common divisor of l and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -r - r - 2*r**3 - 11 - r**4 + 11 as x + h*r**3 + p*r**2 + n*r**4 + c*r and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-27625)\/5950)\/((-55)\/(-11))\nAnswer: -13\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 811432616 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(10\/30 + (-33)\/45)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**4 - 6828*w**3 - 6827*w**2.\nAnswer: -w**2*(w + 1)*(w + 6827)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssii when four letters picked without replacement from xiuxississ.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -5*h**2. Let b(r) be the first derivative of -1 + 1\/2*r**2 + 0*r. Determine k(b(f)).\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 150 - 38 = 0. Calculate the greatest common factor of g and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -36*a*g**2 + 9*a*g - 247421715*a - 86*g**2 - 121*g wrt g.\nAnswer: -72*a*g + 9*a - 172*g - 121","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3*w = -6, -4*n + 6 = -2*n + 4*w. Suppose 5*v - 5*d - 105 = 0, -5*v + 2*v + 65 = -4*d. Solve -2*s + 12 = -2*i, -n*i = -4*s + v - 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -480 = 12*k - 432. What is the third smallest value in k, 59\/3, -0.3?\nAnswer: 59\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.11, -1453\/21 in increasing order.\nAnswer: -1453\/21, -1, -0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17900 + 17929. Solve -m + 23 = 2*w, 4*w = -j - 13 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 19, -0.04, -5609\/6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 1\/4, 5, 5\/126186, 1\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand u - 3*u - 2 - u - u - u + u - 2*u + 40 - 40 + (0 + 1 + 0)*(-2*u + 3 - 3) + (2*u + 9*u + 2*u)*(5 - 1 - 2).\nAnswer: 18*u - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -3*t**3 + 2523*t**2 + 10355*t - 181676. What is s(845)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-418)\/(-11286))\/(7\/2058)\nAnswer: 98\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 881684353?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-nine halves of a millennium?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + -4 - (-88 - -123)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (6 + -5 - 6) + 3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 62*b**2 + 13*b + 53. Let s(o) = 74*o**2 + 15*o + 53. Let c(a) = -5*s(a) + 6*v(a). Suppose -m - 3 - 3 = 0. List the prime factors of c(m).\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-217)\/62*48\/(-28).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.06 - 0.06. Let v = -0.41 + 0.01. What is the closest to -2\/7 in v, -0.1, s?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -25502, 3, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 374876?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/107 and 3.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**2 - i**2 - i**2 + i**2 + 3*i - 3*i + (i - 1 + 1)*(i - 2 + 2) + 3*i**2 - 9*i**2 + i**2.\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -70526*b**2 + b. Let y(l) = 3*l. Calculate y(r(n)).\nAnswer: -211578*n**2 + 3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -292822, 25, -1 in increasing order.\nAnswer: -292822, -1, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -557 + 561. Let s(z) be the second derivative of 5\/12*z**w + 7\/6*z**3 + 0*z**2 + 0 + 6*z. Find the second derivative of s(f) wrt f.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.91? (a) -3 (b) 3\/5 (c) -0.252 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 9, d: 4, c: 4, m: 2}. Give prob of picking 1 c and 1 m.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 119367824 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-12)*(-189)\/(-21)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4525 + 27281\/6. Suppose -474 = -c + 3*g + 2059, -3*c = 5*g - 7655. Let i = 68723\/27 - c. What is the common denominator of f and i?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-18)\/(-36) + 19\/2. Let j(p) = -p**3 + p**2 + 2*p + 4. Calculate the remainder when j(-3) is divided by (-6)\/5*(-6)\/8*w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -7*k**2 - 958*k - 5406. Let t be r(-131). Let y = 250 - 2246\/9. Which is the nearest to t? (a) -4\/5 (b) 3 (c) 4 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000507121 to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19629395 is divided by 350?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (28\/3)\/((-78)\/(-18) - 4). Is 26 at least l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m + 22. Give z(-13).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*n = -34*n + 342 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -397*p**5 - 2*p**3*w*z**2 + 10*p**2*w*z**2 + p**2*z**2 - 5*p*w*z + w*z wrt p?\nAnswer: -23820*p**2 - 12*w*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 5*n - 34 - 189, 4*k = -2*n + 86. Let p be 63\/n - (-1 - (-4)\/10). Determine u, given that 6*u**p - 2*u**3 - 10*u**2 + 0*u**3 - 2*u**2 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - 5*y**2 - 3. Let b be a(-5). Let f = b - -3. Suppose -2*q - 2 + 64 = f. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jnj when three letters picked without replacement from {n: 10, j: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6389409, 6389327, 6389195, 6389007, 6388757, 6388439, 6388047, 6387575?\nAnswer: 6387017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 246153785?\nAnswer: 5, 37, 241, 5521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1167, -4801, -10903, -19479, -30535, -44077, -60111?\n\"Answer: -p**3 - 1228*p**2 + 57*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 9*n. Suppose n = -7*o + 4 + 31. Solve 1 = 3*l - 5*m, -11 + 1 = o*m for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -6, 2, 0, -3.\nAnswer: -6, -3, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 2 and -48.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2 - 1625513868*w - 220191277921693452.\nAnswer: -3*(w + 270918978)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 714?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 10 - 2)*(8*w - 3*w + w)*(-4*w + 2*w + 3*w).\nAnswer: -84*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2239578 and 1244210.\nAnswer: 11197890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -58283, -116893, -175491, -234071, -292627, -351153, -409643, -468091?\n\"Answer: y**3 - 58617*y + 333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 17546 times -0.3\nAnswer: -5263.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -2\/7, -0.3, -8, -2\/9 in ascending order.\nAnswer: -8, -2, -0.3, -2\/7, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*(9\/(-3))\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/6*(-1)\/((-4)\/12). Which is the third smallest value? (a) 0.4 (b) z (c) -2\/9 (d) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 45.8 + -46.668. Let n = 0.72 + c. What is n rounded to 2 dps?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1224, 0.7, 715 in decreasing order.\nAnswer: 1224, 715, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-84)*195\/13*-14?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17*z - 48*z + 43*z - 2 - z + 2 + (0*z + 5*z - 3*z)*(-6 + 3 + 2) - 2*z - 2*z + 3*z + 28*z - 84 + 84)*(-1 - 3 + 6) to the form y*z + a and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*x - 1. Let a be (3\/(3\/5))\/1. Suppose a*t + 20 = 4*v, -3*t - 2 = -x*v + 13. Is 0 smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w - 15. Determine l(13).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1, -4, -2\/5, -1\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 72.68 - -0.32. Let o = -74 + z. What is the second smallest value in -2, 2\/3, o, -2\/9?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 + 0 + 2)*(-47*f - 40*f + 49*f).\nAnswer: -760*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -63 - 0?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/7 and 29\/267.\nAnswer: 1869","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -3*k**3\/2 + 2*k - 2. Let j(n) be the first derivative of s(n). Let d be 5\/10 - (-6)\/(-4). Give j(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-45)\/(-105))\/(84\/(-8))*(-14)\/(-6).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/4 + (-26)\/(-4). Let t(f) = -4*f + 2*f - f - x. What is t(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 3*u - 2. Let b be m(4). Let a(o) = 4*o + 5. Let t be a(4). Let y = t - b. 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 30800 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: Determine y, given that -3*y**2 - 234*y + 2640 = 0.\nAnswer: -88, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1)\/(-6))\/(1\/(-4)))\/(270\/81)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 7*h**2 + 1 + 7 - 3. Let a(x) = 11*x**2 + 4*x + 15. Let n(f) = -10*f**2 - 5*f - 16. Let o(d) = 5*a(d) + 4*n(d). Calculate -13*k(g) + 6*o(g).\nAnswer: -g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(65) + -2*sqrt(65) - sqrt(65))*2)\/((sqrt(220)\/sqrt(4))\/sqrt(11) + sqrt(5) + sqrt(45)\/(sqrt(9)*-2)).\nAnswer: -8*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60484.\nAnswer: 2, 15121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*m - 4*m + 2*m)*(m**2 + 6*m**2 - m**2 + (3 - 3 - 8*m)*(0*m - 3*m + m)) as y*m**2 + p*m + n*m**3 + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + 21*y - 767. Calculate the remainder when 394 is divided by a(-41).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -13. Suppose 0*q + p = 4*q. Find the second derivative of 2*l + 4*l - 2*l**4 - q*l wrt l.\nAnswer: -24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/23 in 0, -4, 4, 5\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12467*l**4 - l**2 + 34424*l?\nAnswer: 149604*l**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 56 and 144?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 32 + -2023?\nAnswer: -1881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 3*u - 4*d = -0*u - 48, -315*u = -313*u + 5*d - 90 for u.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**1*c)**0)**(-6\/5) assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2204709554.\nAnswer: 2, 1102354777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 446\/15 < -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r**2\/4 - 5865*r\/4 + 505557 = 0. Calculate r.\nAnswer: 447, 1508","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, 3, 142, -138 in ascending order.\nAnswer: -138, -0.04, 3, 142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w + 3*w = -15 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.45405265*-1\nAnswer: 0.45405265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21874784 (base 9) to base 13.\nAnswer: 227a6ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -8 - -5 - (-4 + 14 - -1)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 17*v**2 + 40*v - 34. Let f be k(19). Let c(i) = f*i**2 + 698 - 706 - 3*i**2 - 3*i. What is c(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1731? (a) 0.4 (b) 6\/11 (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 14\/(-6) - (-6)\/(-9). Let j(p) = -p - 2. Let b(s) = s + 2. Let t(f) = h*b(f) - 2*j(f). Calculate t(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**2\/9 - 44*v\/9 - 910\/9 = 0. Calculate v.\nAnswer: -13, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -674\/11 or -62?\nAnswer: -674\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -273 times 0.51?\nAnswer: -139.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - 32c2?\nAnswer: -32c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -27*((-2)\/(-8))\/((-3)\/40). Let q be ((-174750)\/x)\/((7\/(-600))\/7). What is q rounded to the nearest 100000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 + 16*b + 24. Let o be t(-16). Let w = o - 22. Is w a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*h - 135 = -151*h for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/1020 and 127\/4080.\nAnswer: 4080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 - 5*o + 12. Calculate the remainder when w(8) is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -4, -2, 234 in ascending order.\nAnswer: -4, -2, 12, 234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + 10 - 12*n + 2*n + 2*n + 8*n**2 + 17*n. What is o(-7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = 4*j - 46. Let l(y) = -y**2 + 4*y + 3. Let t be l(4). Suppose 0 = -t*h + 4*h - 45. What is the highest common factor of j and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1972646, -1972673, -1972704, -1972739, -1972778, -1972821?\n\"Answer: -2*a**2 - 21*a - 1972623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 29 + -6 + 4 + 9 + 2 + -6.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of o**4\/6 - o**3\/3 + 3*o**2\/2 + 36*o. Let h(a) = -3*a**2 + 2*a - 3. Determine -3*h(v) - 4*m(v).\nAnswer: v**2 + 2*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 141 in 0.4, 15, -2\/5, -4?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l + 9. Let b be t(-9). Suppose b = g - 3. Let w(u) = -3 - 2*u**2 + 17*u**g - 16*u**3 - 3*u + 1. Calculate w(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10b3b86 (base 13) to base 16\nAnswer: 4e9364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 2*g - 172, -2*g + 92 = 2*d + 3*g. Suppose -5*w = 4*o - 48, 0 = -o + 5*o + 2*w - d. Does 7 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1471501457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 3:55 AM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 218 - 183. Solve 6*p - 17 = -h for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-16)\/80 - (-16)\/5. Let n be (-3)\/(-3) + -1 + a. Suppose -2*z - z = n. Put 2, z, 11 in increasing order.\nAnswer: z, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 115562837?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 12, 36, 60, 84, 108, 132?\n\"Answer: 24*g - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.04, 6, -4\/45, -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, o: 1, w: 1}. Give prob of picking 3 e and 1 w.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r**4 - 5*r**4 + 3*r**4)*(-3 - 1 + 3)*(7 - 5 + 7) + (-96*r**4 + 2*r - 2*r)*(-1 + 3 - 3).\nAnswer: 78*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/99 and 3\/23.\nAnswer: 2277","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10.2 - 46.8. Let f = 410 + -466.41. Let h = r - f. What is h rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 30\/(-18) + (-40)\/(-6). Suppose q*b - b - 400 = 0. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.7 - 0.2. Let w = -0.81 - c. Let g = w - 4.09. Is g > 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4867.98 plus 3.1?\nAnswer: 4871.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*m - 45*m - 9 = 0. Let g(c) = c**2 + 2*c + 27. Does 15 divide g(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -38, -133, -286, -497, -766?\n\"Answer: -29*o**2 - 8*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7596 divided by -2.\nAnswer: -3798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 q when two letters picked without replacement from {d: 1, v: 1, a: 2, u: 1, s: 1, q: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10111010011010 (base 2) to base 11.\nAnswer: -8a66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -203 divided by -2\nAnswer: 203\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4730440 (base 10) in base 13?\nAnswer: -c981a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o. Let c(t) = 99*t + 7*t - 27*t + 92*t. Determine c(a(g)).\nAnswer: -171*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 3*v**2 - 12*v + 32. Give a(3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 43*d = 31*d + 69, k + 2*d - 13 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 - 30. Which is the closest to 0.1? (a) 0.012 (b) -2\/9 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 3*g**2. Let u be 1\/((8\/3)\/2 + -1). Let n(f) = -4*f - u + 5 - 2. Give t(n(y)).\nAnswer: 48*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5837, -23307, -52425, -93191, -145605, -209667, -285377?\n\"Answer: -5824*j**2 + 2*j - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1018 - 983)*(-4)\/21*-3. Which is the nearest to 1.88? (a) i (b) -0.3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of s**5\/40 + s**4\/4 - 10*s**2 - 3*s. Determine h, given that p(h) = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5\/4 of a century?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 63 - 167. Let y = -614149690.0000049 + 614149794. Let f = q + y. What is f rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2488 - 4057 + 3*x**2 + 3883.\nAnswer: 3*x**2 + 2314","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*z + 28*z + 5. Suppose -3*w + 15 = -4*s, -6*s + z*w = -2*s + 25. What is the lowest common multiple of 58 and (4 + s - 4) + 10?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a litre in millilitres?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.356518 rounded to two decimal places?\nAnswer: 1.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 95*m**5 + m + 42?\nAnswer: 1900*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 324 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c + 135943 + 59530 + 107782 = 0. List the prime factors of c.\nAnswer: 5, 23, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 4. Suppose q - u = -1, -4*q - n*u + 13 = -13. Which is the third biggest value? (a) q (b) 0.1 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-104 + 18 - 67)*((p + 5*p - 4*p)*(0 + 0 - p) - 2*p**2 + 15*p**2 + 2*p**2) in the form z + d*p**2 + v*p and give d.\nAnswer: -1989","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 141308543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-15 - 4 - 2) + (-8 - -8)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 336\/(-9)*(22 + 935\/(-44))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33561 is divided by 11187?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*b = -41*b + 76*b + 23*d - 1004, 0 = d - 28 - 16 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6811596 divided by -39?\nAnswer: 2270532\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-4)*38\/(-171).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05 * 46810.\nAnswer: -2340.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 + 51*x - 3. Let d(u) = -53 + u**2 + 27 - 103*u + 33. Let o(h) = 3*d(h) + 7*y(h). Factor o(v).\nAnswer: -4*v*(v - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 3 = -p + k, 8*k + 93 = 5*p. What is the remainder when 71 is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 277 - 292.9. Let r = n + 13.9. Which is the closest to -3? (a) -0.3 (b) -5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 2*q = 6. Suppose q*k - 6 = -0. Let 2*n**k - 4*n - 4*n**2 + 4*n = 0. What is n?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2)*(-414 - 27*q**2 + 76*q**2 - 29*q**2 - 18*q**2).\nAnswer: 4*q**2 - 828","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a. Let k(h) = -157. Let v(s) = 94. Let w(l) = -3*k(l) - 5*v(l). Determine j(t) + 6*w(t).\nAnswer: 3*t + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 314 a factor of 126174306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + (-6)\/(-2))\/(6\/8). Suppose 0 = 4*n + v*d, 2*d - 5 = -4*n - d. Suppose -2*q + 4*q = -4*t + 62, 3*t - 162 = -n*q. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*11\/77*-1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 330 - 329.97. Let i = -3 + 2.8. What is the nearest to q in 1\/7, i, -1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -118 + 216. Let g = -111 - -167. Let o = y - g. Is o a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in -9.8, -5, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - 1)*1 + -4. Let m = -23 - -13. Let d = g - m. What are the prime factors of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 962480 divided by 848?\nAnswer: 1135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63353567.\nAnswer: 271, 233777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0424636 + 0.031876. What is g rounded to 5 dps?\nAnswer: -0.01059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116*m = 54*m + 186. Let n(o) be the third derivative of 35*o**2 + 5\/3*o**m + 5\/3*o**4 + 0 + 0*o. Find the first derivative of n(b) wrt b.\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of -u**5\/30 - 7*u**4\/24 + 2262*u**2 - 2. Let q(b) = -b**3 - 3*b**2 + 2*b. Let o be q(-3). Determine l(o).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 132078?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (-638)\/470) + ((-42)\/(-105))\/(4\/(-14))?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 7:45 AM?\nAnswer: 4:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 42.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -263, -449, -635?\nAnswer: -821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 4*a - 9. Let i(w) = w. Let p(m) = -h(m) - 3*i(m). Let x(t) = -t + 1. What is p(o) - 6*x(o)?\nAnswer: -o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -7146.8 rounded to the nearest 100?\nAnswer: -7100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) -0.4 (b) 0.3 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 246 + -242. Solve n*k = 2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-14)\/(-2) - (3 - -2). Let h be ((-1)\/g)\/((-2)\/12). Solve h*j + 7 = 4*d + 26, 0 = d + 2*j - 9 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -10*l**2 + 1. Let x be d(-1). Let k be (-6)\/x*(-30)\/4. Let p be (3\/(-3))\/(1\/k). Sort p, 1, 3 in decreasing order.\nAnswer: p, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -51.9916 + 52. What is r rounded to 3 decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7 + 4)\/(-6) - 13\/(-2). Find the second derivative of 31*s**3 + 139*s - 10*s**2 - 2 + 22*s**2 - s**2 - a*s**2 wrt s.\nAnswer: 186*s + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131*r - 148*r = -52785. What are the prime factors of r?\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 5\/8 of a millisecond?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a milligram in micrograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*u + 13*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**5\/5 - 23*y**4\/10 + 3*y**3 - 7*y**2\/10 - 2*y\/5 = 0. What is y?\nAnswer: -1\/4, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 92 divided by 6.\nAnswer: 46\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(539) + 0)*1 + (1*sqrt(704) + sqrt(704) + sqrt(704) + 5)*-5.\nAnswer: -113*sqrt(11) - 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert b887 (base 13) to base 15.\nAnswer: 78da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001 (base 2) in base 11?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/12)*u**(-33\/2))**(3\/11) assuming u is positive.\nAnswer: u**(-197\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**2 + 155*f + 2154. What is q(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 15157.168?\nAnswer: 75785.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -171, 33000?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2133790?\nAnswer: 2, 5, 37, 73, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.05 - -1.75. Let k = y - 0.8. Sort k, 4, -5, 0.5 in decreasing order.\nAnswer: 4, k, 0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 4*m + 12, 0*x = -5*x - 2*m + 12. Suppose 0 = x*y - 1156 - 1136. Suppose y = 2*i + i + f, 4*i - f = 764. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7391931, 14783888, 22175905, 29568012, 36960239, 44352616, 51745173?\nAnswer: 59137940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 10) in base 4?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l + 2*l + 0*l)*(3 - 3 - 1) + 4 + 3 - 4*l - 5.\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 5 (c) 2\/33 (d) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 - 26. Let m = 45\/17 - 939\/374. Let n = 4 - 8. Which is the third biggest value? (a) n (b) m (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -63 by 15.\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.2 + 1.3. Let w = 0.8 + -0.3. Let f = 0.2 + 0.8. Which is the second smallest value? (a) w (b) o (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4079, -13861, -23643, -33425, -43207?\n\"Answer: -9782*b + 5703","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 10 + 59 + (-16 - 90)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -208544219.\nAnswer: 208544221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a week in minutes?\nAnswer: 32760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3237?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13582040 a multiple of 873?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 AM and 5:56 AM?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*s*u**2 - 12985*s*u - 295144*s - 2*u**2 + 3*u wrt u.\nAnswer: 8*s*u - 12985*s - 4*u + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 68\/3767529 and 83\/3701432?\nAnswer: 210981624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z**3 - 88947221*z**2 + 266841870*z**2 - 88947432*z**2 - 88947217*z**2.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -66a4a5 (base 11) in base 7?\nAnswer: -12035611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/(-30))\/(3\/(-15)). Let h = 12 - 12.3. Let t = -11.5 + 11. What is the third biggest value in h, t, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.59 and 0.5.\nAnswer: 0.295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of 4833333*o**4\/8 - o**3\/6 + 2*o**2. Let j be n(-1). What is j rounded to the nearest 1000000?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2. Suppose -6*g + 12 = -10*g. Let k(m) = m**3 + 4*m**2 + m - 4. Let d be k(g). Let o(s) = s**2 + 21 + 0*s**d - 21. Determine o(r(i)).\nAnswer: i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-5) + 147\/35. Suppose -r + 2*a + p = 0, -2*a + a = 2*r + 5. Let y(j) = -280*j**3 - 2*j**2 + 1. List the prime factors of y(r).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6436 - -6435.7. Which is the fourth biggest value? (a) -2\/9 (b) n (c) -8 (d) 107\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 7 + 49 + 5*b - 41. Let h(y) = -2*y - 8. What is 11*h(m) + 6*u(m)?\nAnswer: 8*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (1 - -6 - 3) + 7 - -4\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45*(9200\/180 - 51).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 348330*x**3 - 277991*x**2 wrt x.\nAnswer: 2089980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -50485985 rounded to the nearest 1000000?\nAnswer: -50000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 84924?\nAnswer: -339696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 1114*i. Let v(s) = 5 + 2 + 2*s - 31 + 24. Determine v(f(c)).\nAnswer: 2228*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*y - 8*y. Is 1 > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-21)\/(-2) - 0)*14\/3 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {m: 3, i: 1, b: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4481865679 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 1, 5, -33 in descending order.\nAnswer: 18, 5, 1, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of -g**6\/30 - 22*g**5\/15 - 113*g**3\/2 - 947*g**2. Differentiate w(h) wrt h.\nAnswer: -12*h**2 - 176*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -25*j. Let t(d) = -d**2 - 2*d + 17. Let a be t(-5). Let v(l) = -540*l**2 + 2*l - a*l + 539*l**2. Give r(v(o)).\nAnswer: 25*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 644476?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_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: Let o be ((-12)\/5)\/((-18)\/60). List the prime factors of -13*(-1*o + 2).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**17*f*f**5 assuming f is positive.\nAnswer: f**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 - 13. Suppose -7*d - 4*r = -3*d - 12, -s = -2*d + 3*r. What is the highest common factor of d and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*t - 7*t**2 - 37*t + 42*t**2 - 29*t + 46*t.\nAnswer: 35*t**2 - 35*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - g**2 + g + 1. Let r = 203 - 202. Let n(p) = 4*p**3 - 5*p**2 + 6*p + 6. Determine r*n(b) - 6*s(b).\nAnswer: -2*b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-2*(5*(sqrt(384) - sqrt(384)*-2))\/sqrt(12))**2.\nAnswer: 115200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of d**4\/4 + 2*d**3 - 2*d**2 + 8*d + 1. Let a be s(-6). What is the highest common divisor of a and 288?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2. Let z(u) be the first derivative of 0*u + 4\/3*u**3 + 0*u**2 + 2. What is z(f(k))?\nAnswer: 4*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -29*k**3\/6 - 3*k**2\/2 - k + 1. Let d(r) be the first derivative of l(r). Is d(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-42 + 41)\/(2\/(-10)). Let m(c) = c - 9. Let k be m(9). Let h = -8 - -5. Put h, x, k in decreasing order.\nAnswer: x, k, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10\/15)\/(2\/15). Let s = 7 - p. Let r = -11.1 + 11. What is the nearest to s in r, -2\/13, -2\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.3 - 3. Let o = -0.2 - s. Sort o, 1, 0.3 in ascending order.\nAnswer: o, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m - 13. Let u be n(7). Let w be 1\/(-3)*6\/8. Which is smaller: w or u?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6 - 11)*(3 + -2). Let g = 10 - -2. Let c = g + j. Is -38\/7 less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 62 - 6. Let b = 8028 - 7888. Calculate the greatest common divisor of c and b.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 + -11.5. Let i = 1.2 + -2.2. Which is the biggest value? (a) h (b) -0.1 (c) i (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + (-32)\/(-14) + 120\/70. Let f(o) = o**3 + 2*o**2 - 3*o + 4. Let g be f(-3). What is the second derivative of -t + l*t**4 + 4*t - 3*t**g wrt t?\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000935134883 to 7 dps.\nAnswer: 0.0009351","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*b - 6*b = 768. Suppose 209 + b = 3*o. Does 4 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33 + 2 + 10 + -8 + (-16 + 19 - 3)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3450581 divided by -97\nAnswer: -35573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1b - -a6b?\nAnswer: a89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -549, -0.3, 630?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 185676 times -0.1\nAnswer: -18567.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2351*d**2 + 1209*d**2 + 1144*d**2 - 10*d + 54*d.\nAnswer: 2*d**2 + 44*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 215b18 (base 14) to base 9\nAnswer: 2112013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 + 10*j - 5. Determine f(-6).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 19 - 4)*((6*q**2 - 3*q**2 - 2*q**2)*(2*q + 3 - 3) - 3*q**3 + 4 - 4).\nAnswer: 27*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 < 239?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -82*v. Let q(j) = 5*j**2. Determine d(q(s)).\nAnswer: -410*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -100011111?\nAnswer: 100011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2.42, 0.4, -1, -2\/311 in descending order.\nAnswer: 0.4, -2\/311, -1, -2.42, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 243300 is divided by 20272.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4288 and 2412?\nAnswer: 38592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 50901788 to the nearest integer?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-10))\/((-16)\/(-30)). Let q = 0.21 + 0.79. Let v = 39\/164 - -1\/82. Which is the second smallest value? (a) q (b) u (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + -40 + 48 - (2 + -5)) + 9.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30 + 114. Let g = 16.6 - 16.9. What is the nearest to m in 4, g, 3\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of b**4\/12 + 13*b**3\/6 + 2*b**2. Let v be c(-6). Sort -1, -4, v.\nAnswer: -4, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68837201 to the power of 1\/3, to the nearest integer?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2252 + 796 = -58*a - 33*a for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/44)\/(15\/(-30))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (-1)\/2)*(-128648)\/12370.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z + 6. Let v be k(4). Suppose -x = -v*x. Let a be (6 - x\/2) + -2. Solve -a*f + 3*f - 2 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/2*(-296)\/(-370)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -535.414 + 536. Let u = a + -0.626. What is the nearest to 3 in -0.3, -4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -554838*p**6 + 930690*p**2?\nAnswer: -66580560*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -117*x - 18. Suppose 3*a + 4 + 20 = 0. Let l be t(a). Let z(w) = -918 - 6*w + l. Let u(j) = -3*j. Determine u(z(m)).\nAnswer: 18*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34654996 = -5*r - 4*i, 2*r + 3*i = -2463732 - 11398265. What is r rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18450 + 41320. What is the remainder when x is divided by 375?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 117 + -105 - (-6)\/2?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a499c (base 13) to base 8.\nAnswer: 3754452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -312003 divided by -3?\nAnswer: 104001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -17*y - 4. Let l(k) = -35*k - 9. Calculate 5*d(m) - 2*l(m).\nAnswer: -15*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b**2 + b**2 + 45 - 45.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-3)*(220\/(-11))\/60?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((0 - -4) + (-16)\/20)*25?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + -6. Does 3 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**2 + 2*j**2 - 7*j**2)*(-4 + 5 + 0) + 117 - 117 - 6*j**2 + 0*j**2 + 10*j**2 + 4*j**2.\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**1\/p*p)**(-1\/9)*(p\/(p**(-1)\/p))**(-1\/34))**(1\/24) assuming p is positive.\nAnswer: p**(-61\/7344)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, 114 in decreasing order.\nAnswer: 114, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8 - 456\/(-56))\/(2\/14). Sort -5, c, 10, 2.\nAnswer: -5, c, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24359 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2534, -2434, -2268, -2036, -1738, -1374, -944?\n\"Answer: 33*d**2 + d - 2568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 34 = -3*y - 3, 0 = -y + 4*l - 24 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*(-9)\/(-81)*6\/8?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (7 - 10 - 6 - 6)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**3 - 15*k - 7227 + 2411 + 2411 + 153*k**2 + 2405.\nAnswer: 2*k**3 + 153*k**2 - 15*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-76)\/133*14 + 3066\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 7:56 AM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -561023*n**4 + 41*n**2 - 4*n - 56?\nAnswer: -13464552*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.621 + 1.121. What is the nearest to 0 in -0.7, 0, o, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2355 + 107*b - 2355 to u*b + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2 - -5.2. Let g = -27.52 - -28. Let l = -0.02 - g. What is the closest to 0 in x, -2\/7, l?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**2 - s - 1. Let o(t) = -3*t**2 - 2. Determine -3*o(v) + 4*z(v).\nAnswer: v**2 - 4*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 - 2*l**2 - 6*l**2)*(-29*l + 23*l - 58*l - 44*l).\nAnswer: 756*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1369*z**4 + 1011 wrt z.\nAnswer: -5476*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 429 = -6*l + 9*l. Let w(r) = 144*r**2 + 3*r - r - l*r**2 + 4*r - 5*r. Let v(y) = -3*y**3 - 9*y**2 - 9*y. Determine 2*v(j) + 18*w(j).\nAnswer: -6*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/6, 8, 13, 3, -115, -1, -6\/113?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12115 * 168.\nAnswer: -2035320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 2543965272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n**2 + 3*n**2 + 23*n - 7*n**2 as d*n + p + y*n**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8592.000010538 - 8592. What is q rounded to seven decimal places?\nAnswer: 0.0000105","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/((-6)\/45*-5)*(-2793)\/(-1197)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3728014*o**4 + 8*o**3 - 75409045 wrt o?\nAnswer: -14912056*o**3 + 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 4. What is the tens digit of -2 - -17 - (-4)\/j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**2 - 60*k.\nAnswer: -5*k*(k + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2173)\/(-414) + 20\/(-4) and 149\/30?\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 3*k - 5*k - 340, 0 = -3*k + 15. Suppose 0 = 21*z + l - 7. Let n(c) = -7*c**2 - 4. Let g(u) = 6*u**2 + 3. What is z*n(r) - 4*g(r)?\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3280 divided by 656?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 12 = 4. Let o = t - -3. Solve 0 = -5*x + s - 9 - 16, x - o = -s for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 < 26409319?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -3\/4, -2\/3, 2 in increasing order.\nAnswer: -3\/4, -2\/3, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -10712 divided by -2678\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 33228 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 0, 2*w = -v - 0*v. Suppose v = -4*n + 10 + 18. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 + 15*v - 14. Let p be l(13). Let c = 7 + p. Is c a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -8*r**2 - 18*r - 4. Let b(u) = -9*u**2 - 19*u - 5. Let l(n) = 4*b(n) - 5*s(n). Find the second derivative of l(j) wrt j.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100420 + 100420 - 34*l + 22*l.\nAnswer: -12*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uc when two letters picked without replacement from acuuzuacuauuauuuaa.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(52)*3*4 + (-1*sqrt(416))\/sqrt(8))\/(((-2*sqrt(96))\/sqrt(12))\/((sqrt(72)\/sqrt(3))\/sqrt(12))))**2.\nAnswer: -4719\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 - 24. What is the closest to 0.1 in -2\/5, b, 5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 22110210010121110?\nAnswer: 22110210010121021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 532276079 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7 + -10 + 9 + -2. Suppose -a*l + l + 12 = 0. Solve 0 = -0*d - l*d + 16 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - 3 - 1 - (1 + 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -55 + (-5264 - -5392)?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -432.2 + 572. Round d to the nearest ten.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 48 = 9*z. Suppose -161 + 491 = z*n. List the prime factors of n.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 734 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 168\/15 - 4\/20. Suppose 991 = 5*o + q. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-150006)\/(-30) + (-8)\/40 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p - 8. Suppose 3*w = 5*w - 2*b - 4, 2*w + 4*b = 34. Let c(o) = -3 + w - 3 + 0. Let u be -2 + (3\/(-3) - 3). Give u*c(x) - f(x).\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 270 and 20142.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13717 - 8019 = -275*t - 561*t for t.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 215237.6 decades to centuries.\nAnswer: 21523.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 517346 is divided by 290.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -0*v - 2*v. What is the second biggest value in 5, v, -1.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 10:19 AM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10313 - -12121132?\nAnswer: 12132111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5171400 and 272?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = 3*p + i + 2136, 2130 = 3*p - 3*i. Suppose 0 = -5*m - h + p, h - 470 - 100 = -4*m. Suppose 6*x + 11 = m. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13982 is divided by 4643.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r + 1251 = 1195 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbbbbr. Give prob of picking 1 b and 2 r.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(567)*2*1*6.\nAnswer: 216*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (r**2 - 3*r**2 + 0*r**2 + (4*r + 9*r - 5*r)*(5*r - 3*r + 0*r) + r**2 - 2*r + 2*r)*(2*r - 2*r + 3*r) in the form f*r**3 + c*r + g + n*r**2 and give f.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18359870 by -2.\nAnswer: -9179935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7735871?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 865114 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 4:28 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/18*5427\/3618.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 147, 104, 27, -90, -253, -468?\n\"Answer: -u**3 - 11*u**2 - 3*u + 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m**3 - 5*m**2 - 6*m - 512. Let u(d) = 3*d**3 + 7*d**2 + 9*d + 768. Give -7*a(z) - 5*u(z).\nAnswer: -z**3 - 3*z - 256","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/(-2) - -6)*57\/(2565\/580)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*m - 48 = 12*m + 9*m for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j**2 - 55*j + 60 = 0.\nAnswer: -12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (1134\/(-147) - -8)\/(-2 - 9354\/(-4676)) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 3 (b) 6 (c) -1 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k + 1. Let c(b) = -14*b + 2. Let m(q) = -c(q) + 3*r(q). Let g be m(1). Find the third derivative of 4*h**2 + 2*h**2 - g*h**2 + 5*h**3 wrt h.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -96b73 + 8?\nAnswer: -96b67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 7321*x**2. Let c(a) = 121 - 48 - 37 - a - 36. Calculate l(c(h)).\nAnswer: 7321*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 0*x + 3 = 0. Let z(d) = -3*d**2 - 2*d - 1. Let m be z(x). Is m*(26\/(-4) - 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2791004125 to the power of 1\/2, to the nearest integer?\nAnswer: 52830","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -0.04 (b) -3\/4 (c) -33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 449049 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/4340 and -63\/2659180?\nAnswer: 18614260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -17*q - 10. Let w be s(-1). Let k(b) = -b**3 + 6*b**2 + 7*b - 5. Determine k(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -343*r + 343*r + 14*r**3.\nAnswer: 14*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 greater than 223132?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t**5 + 100*t**4 - 940*t**3 - 16010*t**2 - 55225*t - 40250 = 0 for t.\nAnswer: -23, -5, -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2045, 2077, 2109, 2141, 2173, 2205?\n\"Answer: 32*j + 2013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 45*x**2 - x + 1. Let v be d(1). Let y(q) = -37*q - 693. Let t be y(-20). Which is smaller: t or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 242 + 246 + 7*z**4 + z + 186*z**2 + 27*z**2 - 487 to n*z**4 + m*z**2 + y + v*z + b*z**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-16)\/((p**(2\/11)\/p)\/p)*(p*p**(-7)\/p*p)\/(p*((p*p\/(p\/(p\/(p*((p*p*p**(-2\/5))\/p*p)\/p))*p))\/p*p*p)\/p) assuming p is positive.\nAnswer: p**(-1132\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1541 a factor of 2729111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 14, l: 1}. Give prob of picking 3 s.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 - 6*n + 8. Let x be r(-8). Let h = 52 - x. What is the greatest common divisor of 24 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*n + n - 2*n**3 - 7 + 3*n - n in the form l*n**3 + y*n + c + s*n**2 and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 100001111 (base 2) to base 11\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 351 + -328 - (1 + 4) - 19\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 2*q, -4*q + 158*w = 156*w - 24. Put 1, q, -5, -1208, 3 in ascending order.\nAnswer: -1208, -5, 1, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197530 is divided by 98711?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2515 - 1587. Calculate the remainder when z is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (65 - 11) + -12 + (22 - 16) + 6?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1804290\/1187 or 1520?\nAnswer: 1520","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -a13627 (base 11) to base 5\nAnswer: -404124044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a century in months?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -308 (b) -2.9 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -122.2 - -122. Put -0.03, s, 0.3 in descending order.\nAnswer: 0.3, -0.03, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 125.28?\nAnswer: -375.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2635, 3134, 8891, 14630, 20345, 26030?\nAnswer: 31679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (((-28)\/(-6))\/14)\/(2\/2)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -10088, -10087, -10086, -10085?\n\"Answer: s - 10089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -k + 5*a + 10, -2*a = k + 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 5 - 1 = -m, 4*i - 2*m = 14. Let w be i\/3 - 8\/(-3). What is the second derivative of -2*u - 4*u**w + 3*u**3 + u wrt u?\nAnswer: -6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*w - 35\/4*w**2 - 5 = 0 for w.\nAnswer: -2, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -47*n + 93*n - 874. What is the least common multiple of n and 6?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3 + 4386*d**2 + 2402430*d - 2406818.\nAnswer: 2*(d - 1)*(d + 1097)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 6\/5 of a millennium?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 11*a - 7*a + 20 = 0, -26 = -5*o - 2*a. Solve -o*k = -4*k + 2, -4*z - 3*k - 19 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 73333907?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -176\/923543 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c*c**7*c*c*c**(-1\/24)*c\/(c\/(c*c**(4\/9)\/c))*c\/(c*c**0*c) assuming c is positive.\nAnswer: c**(749\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 900 and 8528600.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k\/k**(6\/5)*k)*k*k\/(k*k*k**(-5))*k**(-1\/2)\/k**(-5)*(k*k**(1\/2)\/k*k)**(-24)*(k**(-1)*k)**6 assuming k is positive.\nAnswer: k**(-263\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 - 6)*(0*s**2 + 2*s**2 + 4*s**2) + 2*s**2 + 2*s**2 - 3*s**2 + (-1 + 1 - s)*(3 + 16*s - 3) as a*s**2 + n + y*s and give a.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -10*h. Let l be w(-1). Suppose -l = 2*r - 0*r. Let t = 0.9 - 0.5. Which is the biggest value? (a) -3 (b) t (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -0.0459?\nAnswer: 0.01377","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((15\/10)\/3)\/(2\/16)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3175 = 5*n - 1720. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -10.8. Let m = j + 5.2. Let c = m + -6.999997. What is c rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -u**2 + 5661*u + 343260 = 0.\nAnswer: -60, 5721","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2547148271350 + -2547149465497.330009. Let i = -1194204.33 - c. Let j = -57 - i. Round j to six dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2488.884 rounded to the nearest 10?\nAnswer: 2490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((3\/(-3))\/2)\/(8\/88). Let c be 2\/112 - 36\/(-288). Put 0.5, g, -4\/5, c in descending order.\nAnswer: 0.5, c, -4\/5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 2*c**2 + 3*c - 4. Let k be n(2). Suppose 7*z - 100 = 2*z - 5*b, z - k*b = 17. Is z a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(1\/3)*o*o\/o**(-5)*o*o**(-2\/11)\/((o*o**(3\/2))\/o) assuming o is positive.\nAnswer: o**(439\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 7*q = -35. Let r(f) = -8 - 2*f - f**3 - 7*f**2 - 5*f**2 + 5*f**2. Is r(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -375*w + 14943 + 15739 = 12682. Suppose -b - 3*b + 16 = 0. Suppose -b*g = 0, -u + 2*g + g = -48. Calculate the highest common factor of w and u.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -24357, -44924, -65491, -86058, -106625?\n\"Answer: -20567*h - 3790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 2*g**2 + 5. Let n(q) = q**3 - 3*q**2 + 4. Let d(x) = 2*m(x) - 3*n(x). List the prime factors of d(4).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18238?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5263\/2 - 2584. Let k = -13602379801\/4698126 + -2\/2349063. Let s = k - -2900. What is the common denominator of r and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -539.43 rounded to the nearest ten?\nAnswer: -540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*u**4 - u - 11*u + 6*u - 2*u**4 wrt u.\nAnswer: 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2064.521676 rounded to 1 dp?\nAnswer: 2064.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -3*g**4 + 19014*g**3 + 1424391*g**2 - 5944626*g + 4501224 = 0.\nAnswer: -78, 1, 3, 6412","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - 14*a**2 + 172*a - 66. Give h(-22).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 202145, 404148, 606151, 808154, 1010157?\n\"Answer: 202003*q + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7267680000 rounded to the nearest 1000000?\nAnswer: 7268000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 566*r - 17*r**2 + 576*r + 629*r - 1771*r.\nAnswer: -17*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -6*q**3 + 5*q**2 - 3*q - 6. Let s(t) = -t**3 + t**2 - 1. Calculate g(j) - 5*s(j).\nAnswer: -j**3 - 3*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 8:42 PM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-64 - 13 - 16)*(91 - 91 + 27*h).\nAnswer: -2511*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.96 - -9.97. Let y = 0.01 - l. What is the smallest value in y, 5, 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - 9bb7?\nAnswer: -9bb3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25675155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 28 - -6?\nAnswer: 2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3906137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*o + 20*o + 1448*o**2 - 26*o.\nAnswer: 1448*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2 - 59393*y + 118782.\nAnswer: (y - 59391)*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 3*a - 13 = -17, 2*a - 14 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 23 = -61. Suppose -22*a = -21*a - w. Calculate the smallest common multiple of a and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -646981398 divided by 71886822.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.276 - -17.276. Which is the second smallest value? (a) 0 (b) 0.5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 224989\/45, 2, -0.2, -2, -1.\nAnswer: -2, -1, -0.2, 2, 224989\/45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of -2*x**2 - 1\/504*x**8 + 0 + 0*x**4 + 0*x**3 + 1\/360*x**6 + 0*x + 0*x**5 + 1\/630*x**7. Solve t(r) = 0.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -7*o - 172. Determine j(-26).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7458 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (0 + (0 - (-3)\/2))*(-2740)\/(-822)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -10*s**3\/3 - s**2 - 11. Let r be p(-1). Let a be (-22)\/(-2)*(-1 - r). Calculate the highest common factor of a and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j**2. Let p(x) = 15375004*x**2. Determine v(p(l)).\nAnswer: -472781496000032*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 6*n**2 + 28*n - 10. Suppose 0 = d - 1251 + 1256. Let u be o(d). Factor 2\/11*m**2 - 14\/11*m + u.\nAnswer: 2*m*(m - 7)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 + 1)*10\/(-20). Let g be c\/11 + (-49)\/154. What is the second biggest value in -3, g, 0, 1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2*n + 395 = 0, 3*n - 137 = -d + n. What is the remainder when d is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w + 19 - 17 + 0*w**3 + 9*w**3 - 5*w**2 + 6*w**2 as r*w + v*w**2 + h*w**3 + o and give h.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 1836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11593697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 19*u + 124. Let l be a(-7). Let z = -13 + 4. Let j be (-6 - z)*(-6)\/l. Solve 8 + 4 = -2*g + j*p, -8 = 2*g - p for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 39? (a) -0.4 (b) -1\/6 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 42, -2, -1, 13, -3 in descending order.\nAnswer: 42, 13, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s**2\/4 - 1249*s\/4 - 118028 = 0. What is s?\nAnswer: -304, 1553","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111 - 480 + 111 + 148 + 54*m**3 + 110.\nAnswer: 54*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -65 + -dbc?\nAnswer: -e32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 11 = -l, 8*v - 9*v = 3*l + 5. Let s be l\/2*248\/(-93). Suppose 0*r - 5*r + 180 = 0. Calculate the greatest common divisor of s and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2802.\nAnswer: 2, 3, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 5, 11, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1221966?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 414*i - 6997 = 89*i + 1453 for i.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 6:32 AM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1892 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -539 + 543. Solve -17*t + i = -19*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 95716327*d**3 - 98404781*d**2.\nAnswer: 574297962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00011585 to five dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5*o - 17 = 3, 5*o + 20 = 3*i. Which is smaller: i or -81\/8?\nAnswer: -81\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -101 + 60. Let c = -21 - l. Calculate the greatest common factor of c and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/1134567 and -47\/2052.\nAnswer: 86227092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -68 and 62.\nAnswer: -4216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 106380 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -68 + 72. Let n(s) = 2*s**2 - 3*s - 3. Let h be (-2)\/(1 - -1)*-4. Let m(j) = -3 + h*j + 1 + 6 - 3*j**2. Calculate y*n(x) + 3*m(x).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 + 6*r - 4. Let v be c(4). Suppose d + 3*o - 6 = 0, 0*d + d + 2*o = v. Solve d*w - 3 = -w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2608 - 2536. Let i(n) = 4*n**2 - n**3 - n**2 - 5*n**2. Let c be i(-3). What is the highest common factor of c and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 3:47 AM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 2215287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -168, -327, -482, -633, -780, -923, -1062?\n\"Answer: 2*a**2 - 165*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 - 3*o - 2. Let i be a(-4). Let c(z) = -z**3 - 7*z**2 - 7*z. Let l be c(i). Is -1 - (-2 - 21*l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/17243083?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 + 20 - 13) + 3 + 16 - 71?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25183?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - i + 208 = 3*h, -2*i - 5*h + 87 = 0. Let u = i + 171. What is the tens digit of 2\/(-2 + u\/68 + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 AM and 11:17 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3803 or 95106\/25?\nAnswer: 95106\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 830447663.\nAnswer: 5087, 163249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 854*p = 843*p - 473. Suppose 0 = -5*y + 441 - 71. Let i = p + y. Does 31 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/45*335)\/(((-30)\/(-9))\/10). What is the greatest common factor of 5963 and u?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1737?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of -i**4\/24 + i**2. Let w be f(-5). Suppose -w*o - 3271 = -871. What is o rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2589*o**3 + 1 + 1 - 12*o**2 - 3298*o**3 + 9*o**2 + o in the form h*o + g + l*o**2 + n*o**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4a4 + -2?\nAnswer: -4a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 8414\nAnswer: 1682.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -6*17\/(-238) - 352287\/(-21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**2 - 1364*s - 14780. Determine c(-671).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2210, 4425, 6640, 8855?\nAnswer: 11070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 2*w + 12 = 0, -5*l - 3*w + 47 = 17. Suppose l = -2*v + v. Let q = 12 - v. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -11*z + 2. Let u = 15 - 20. Let p(s) = -2212*s - 2212*s - 1 - 2210*s + 6639*s. What is u*p(f) - 3*q(f)?\nAnswer: 8*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/6 + 7*m\/3 - 16\/3.\nAnswer: (m - 2)*(m + 16)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-232)\/6 - 2\/(-3). Let o = a - -53. What is the remainder when o is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4150.5 + 4151. What is the third biggest value in 4, -44, s, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 s when two letters picked without replacement from {q: 1, a: 4, s: 1, j: 5}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*z**2 - 4*z**2 + 2162*z**3 - 6*z**2 + 4*z**2.\nAnswer: 2162*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**8\/x**(-6))\/(x**(-4)*x**1) assuming x is positive.\nAnswer: x**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 6950.78305 to the nearest integer.\nAnswer: 6951","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 2*h + 2*k - 28, 3*k = 3*h - 54. Suppose -12*n = -19 + 91. Let y be (-1)\/n + (-77)\/(-6). Which is smaller: h or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1123300 (base 4) to base 5\nAnswer: 141442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8149 is divided by 4045.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 66897569 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-3*sqrt(66) + sqrt(66)))\/(-3*sqrt(6)*-1).\nAnswer: -2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = 5*n + 35, 4*q - 106*n + 107*n - 17 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 398320365 rounded to the nearest 1000000?\nAnswer: 398000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k**(-2\/15)*k)*k\/(k\/(k*k*k**(-2))))\/(k*k*k**(-2\/7)*k)**0)**(-1\/24))**1 assuming k is positive.\nAnswer: k**(-1\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 90.3 + -90. Suppose o + 10 = -4*o. Let l be -4 - -1*(o + 3). Sort l, y, 4.\nAnswer: l, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 335896814 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/2)\/(-63 + 50)*(-11 + 2274\/210).\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 e when four letters picked without replacement from {y: 9, e: 10}?\nAnswer: 90\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -3*f**2 - 70*f - 5. Calculate the remainder when c(-14) is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 1042 = -4*i + i, 0 = -i - 5*p + 334. Suppose 3*x + i = -3*h, 2*x - 106 = h + 6. Let q = h + 143. What is the remainder when q is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -713 by 23.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a + 12. Let u be i(-6). Suppose u = 28*t - 19*t. Suppose -2*p - 41 = -t*o - 3*o, o = -p + 7. Is 11 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 + 2 - 2)*(7 - 5*g - 7 + (3 - 3 + g)*(1 + 1 - 3) - 2*g + g - g + 2*g - 4 + 4 + (-21*g + 29 - 29)*(4 + 3 - 6)).\nAnswer: 54*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*j + 12 - 12)*(-6 + 4 - 4)*(-2 + 10 + 1).\nAnswer: -594*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 18*z**2 - 14 - 2*z**3 + z**2 - z. Let o(b) = 20*b - 97. Let s be o(4). What is the units digit of g(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -3*f + 2 - 0, -f + v = -2. Let l(q) be the first derivative of -2*q + 3 + 5 + 0 - f*q**2. What is l(2)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 321956365?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 w when three letters picked without replacement from pccywwpwypw?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - ((-17 - -9) + -39 - (2 - -3))) + 3.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)*-1*-5 + sqrt(136))\/sqrt(128)*6.\nAnswer: 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13284847?\nAnswer: 13284847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**3 + 80*i**2 - 345*i + 450.\nAnswer: -5*(i - 10)*(i - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-453)\/(-6 - -3))\/(1 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**0)\/x)**(-9)*(x*x**(2\/3)*x*x)\/x*x*x\/((x\/x**(2\/5))\/x))**25 assuming x is positive.\nAnswer: x**(380\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iaiiiiiiiia. Give prob of sequence iia.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1441?\nAnswer: 11, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 203*z + 93. List the prime factors of x(34).\nAnswer: 5, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32844125 to the power of 1\/2, to the nearest integer?\nAnswer: 5731","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 32 and 25861381.\nAnswer: 25861413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 5015596\nAnswer: 1\/1253899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*y + 5*y - 40 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-nine fifths of a litre?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6291508 is divided by 8714?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-99)*3\/(-6)*12.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x - 7*x**2 + 1 + 8*x**2 + 9*x**2. Suppose 5*z - t = 81, 0*z - 3*t = -4*z + 56. What is the remainder when z is divided by m(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6.518823 times -0.2\nAnswer: 1.3037646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181826478.\nAnswer: 2, 3, 3367157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 53*w**2 - 124*w + 49. Let z be t(-55). Calculate the highest common factor of 468 and z.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 3240702?\nAnswer: 3240706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1*((156\/21)\/(-4) - -2) and ((-1)\/(-2))\/(8\/(-42)).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -400*s - 8793. Determine c(-22).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 + 7*k + 2. Calculate the remainder when 17 is divided by y(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*a**2 - 150*a**2 - 83*a**2.\nAnswer: -185*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -518395*n*s**4 + 9*n*s + 784*s + 2 wrt s.\nAnswer: -6220740*n*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, k: 1, u: 2, j: 2, i: 1}. Give prob of sequence in.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 134 = -516. Let y = n - 113. Calculate the highest common factor of 136 and y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 784142407?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*i**4 - 4*i**3 - 2 + 10*i**4 - 8*i**4 in the form n*i + a*i**2 + z + v*i**3 + o*i**4 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -8*j - 7. Let k(a) = -4*a - 3. Give 13*k(r) - 6*z(r).\nAnswer: -4*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24850.999965252 + -24851. Round r to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.117 >= -597\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 m when three letters picked without replacement from {m: 2, e: 3, q: 4}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 - -20578658035584?\nAnswer: 20578658035559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28 - -11. Suppose y = 5*v - 36. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 7 = 13, b - 1 = -g. Let n be (-1)\/g - 32\/(-3). Let l be (-4)\/(-10) - n\/(-10). Put -0.1, 0.4, l in ascending order.\nAnswer: -0.1, 0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(8\/168)\/((-22)\/110).\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*n = 711 - 1372 - 1004 for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*2\/(-10))\/(14\/(-10)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 + -21. Let o be 1 + 0 - z - 1. Let j be (4 + -4)\/(o - 0). Is j at most as big as 3\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 6 = -72*t + 70*t, 2*t = -2*j + 14 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1422*d**4*k - 4*d**3*k + 4*d**3 + 2*d**2 - 1418*d*k wrt d?\nAnswer: -34128*d*k - 24*k + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 110294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1737927 litres to millilitres.\nAnswer: 173.7927","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0959637 and 8.3.\nAnswer: 8.2040363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/1280 and -17\/256.\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = 56 - 28 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1284 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-4))**(1\/8)\/(y\/(y*y**2))**(2\/5) assuming y is positive.\nAnswer: y**(3\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 3*n - 60. Suppose -14 = -n*z - 14. Solve 3*s + z = 9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10938 - -10943. Solve o*f + 3*c - 25 = 0, -6*f + 15 = -3*f - 3*c for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1933, -4302, -7593, -12268, -18789, -27618, -39217?\n\"Answer: -77*p**3 + p**2 - 1833*p - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**2. Let c(i) = 23*i**2 + 8*i**2 + 31*i**2 - 16*i**2. What is c(y(r))?\nAnswer: 184*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1605608 and 6704.\nAnswer: 3211216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a gram in milligrams?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + 6 - (-47 + 26).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2756 + 2755.4. Put m, 1\/4, -1\/8, 2\/5 in decreasing order.\nAnswer: 2\/5, 1\/4, -1\/8, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -590*m + 26429 = -6021 for m.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(1\/8)*h)*h)\/h**(-6)*h**(-2\/3)*h*h*h**6*h)**44 assuming h is positive.\nAnswer: h**(4015\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*z**4 + 30962*z**3 - 6*z**2 + 312022*z - 2?\nAnswer: 24*z**2 + 185772*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llallllalllallalal. What is prob of sequence lla?\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.80595 litres in millilitres?\nAnswer: 59805.95","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 3*o + 3, -3*b - 2*o - 5 = -o. Put -18, 5, b in ascending order.\nAnswer: -18, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -6. Suppose 3*x - 63 = -3*u, -2*x = -7*x - 2*u + 96. Suppose -d - 59 = -3*w, w + d - t*d - x = 0. Is w a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 3*i = -2*i + 778, 3*i - 382 = -2*j. Let k = j - 35. What is the remainder when k is divided by 15\/35 - (-316)\/14?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4*(-4)\/6*-3. Suppose 53 = 3*t + w. What are the prime factors of t?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - a - 2*a)*(a**2 + 4*a**2 + a**2) + (-13665 + 13665 - 203*a**2)*(-a + 1 - 1).\nAnswer: 191*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -760*c - 45 = -765*c for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -14210 (base 5) in base 16?\nAnswer: -49c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) 11 (b) 4\/7 (c) 0.4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 417806.9 to the nearest one thousand.\nAnswer: 418000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-198)\/(-8)*3\/((-27)\/(-36)). Find the first derivative of o*q - 4 + 1 - 312*q + 3 - 1 wrt q.\nAnswer: -213","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*z - 48*z = 10, -3*z + 6 = b. Calculate the remainder when 1472 is divided by b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2234 - 2271. Suppose -3*a + 120 = -30. Let p = a + k. What are the prime factors of p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -198034, -1584253, -5346846, -12673999, -24753898?\n\"Answer: -198031*t**3 - t**2 + t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 3*h + t, 0 = -4*h + 4*t. Suppose 3*i = 0, -y - 8 = -3*y - 5*i. Differentiate 2*o - 1 + h + y - 4*o wrt o.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137208?\nAnswer: 2, 3, 5717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 223980?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 65625 and 1732500?\nAnswer: 8662500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -1 + -3 + (5 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 307637336 - -7?\nAnswer: 307637344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108\/(((-8)\/6)\/(912\/2736)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*b**4 - 2*b**4 - 3*b**4)*(-b - 2*b + 4*b) + 1 - 1 - 2*b**5 + 28*b**5 + 11*b**5 - 7*b**5 - 2*b**5 + 4*b**4 - 4*b**4.\nAnswer: 29*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by 2.\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 59371 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**2 - 4399355*a + 4399360.\nAnswer: -5*(a - 1)*(a + 879872)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 9 = -6. Suppose l*w - 4112 = -w. What is the derivative of -10*t**2 - 33 - 1028*t + w*t wrt t?\nAnswer: -20*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -37 > -659?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/4218 and -89\/260110.\nAnswer: 780330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4260205522 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2090\/7 - 2089\/7. Which is the nearest to 3? (a) l (b) -0.09 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 202 = -42*p, -42*c = -p - p - 40*c + 18 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 287258785 to the nearest integer?\nAnswer: 660","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**2 + 934*g - 180072 = 0. Calculate g.\nAnswer: -1098, 164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 69300 and 108.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5666, 25.\nAnswer: -4, 25, 5666","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 5 (b) -1\/127 (c) 0.4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -278*i**2 - 6*i + 429. Let b(y) = -93*y**2 - 2*y + 143. Let q be 18\/12 + 12\/8. Let o(j) = q*h(j) - 8*b(j). What is the derivative of o(w) wrt w?\nAnswer: -180*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 48150?\nAnswer: 48150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/3 (b) -36 (c) -14.2 (d) -2 (e) -0.1 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43682045585 - 965547935403623\/22104. Let w = f - -1\/2763. What is the common denominator of w and 71\/14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 7, b: 6, t: 6}. What is prob of sequence qtbb?\nAnswer: 35\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -1. Let p(r) be the first derivative of 1\/2*r**x - 1 + 4*r. What is p(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-25\/4))\/k**(-1\/52)*(k\/k**(-20))**16 assuming k is positive.\nAnswer: k**(4300\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 9:22 AM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence neee when four letters picked without replacement from {n: 2, e: 4}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**2 + 0 + 0)*(3 - 2 + 1) - 43*h**2 + 242*h - 242*h + h**2 + 0 + 0 + (-3*h**2 + 4*h**2 + h**2)*(-2 - 2 + 2).\nAnswer: -52*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.08 + -1. Let y = 1.92 + u. What is the closest to 1\/2 in y, 0.3, -1\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127637089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0144327 to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (4*sqrt(98) + sqrt(98) + 5)**2*-5 + ((-1 + sqrt(98))**2*3 - (6*(sqrt(98) + 0) + sqrt(98))) + -5.\nAnswer: -12085 - 1841*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/19, 4, 165.78?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -575 + 866. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -81, -65, -51, -39?\n\"Answer: -f**2 + 19*f - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/5 + 4*y + 10.\nAnswer: 2*(y + 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.110873674989069 + -4\nAnswer: -3.889126325010931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 5*z - 1. Suppose 0*j - z*g = -2*j - 128, 0 = 3*j - 3*g + 183. What is the units digit of (-16)\/(-2*(-2)\/j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1287514.81 rounded to the nearest 100?\nAnswer: -1287500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j + 1. Let x(w) = 7. Let o(g) = 2*l(g) - x(g). What is the units digit of o(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34 - 21. What is the remainder when 37 is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, u: 1, z: 6, c: 5}. What is prob of picking 3 c?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 139409\/85 + -8167\/5. Let t = a + -473\/68. Which is bigger: -2\/349 or t?\nAnswer: -2\/349","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of -n**9\/60480 - n**8\/5040 + n**7\/840 + n**6\/240 + n**5\/30 - 4*n**2. Let r(c) be the third derivative of z(c). Determine r(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2 - 1160*p - 336400.\nAnswer: -(p + 580)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 7*i + 172. Let w be v(-23). Suppose -4*n = -3*n - 352. Calculate the highest common factor of n and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 338237\/5848 + 27\/731. Let l = n - 459\/8. Factor -1\/4*c + 0*c**4 + 0 + l*c**3 + 0*c**2 - 1\/4*c**5.\nAnswer: -c*(c - 1)**2*(c + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5061028987?\nAnswer: 7, 25357, 28513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15 or -59\/4?\nAnswer: -59\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/4*16016\/(-364)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4034 - 1434 = -13*d. Let o = d + 280. Calculate the remainder when o is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of -19*d**4\/24 + 79*d**3\/6 + 24*d**2 + d. Let f be a(4). Solve f*j = -2*r - r, -5*r - 16 = -3*j for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/12 - (0 + 36\/(-16)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 + -18 - (53 - 24).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 87*o**2 + 11*o - 11. Let x(d) = -23*d**2 - 3*d + 3. Let m(s) = 6*f(s) + 22*x(s). Let i(l) be the first derivative of 3*l**2\/2 + 1. Determine i(m(p)).\nAnswer: 48*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 215 - 25 = 0. Suppose 18*o = 4*o + 336. Suppose o = -x + 5*x. What is the greatest common divisor of n and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59082?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-198)\/(-42) + -3 - 2.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 55952587 to the nearest integer?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -4*c + 15. Calculate the remainder when 193 is divided by c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 278370 and 108.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 48897698123 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*u, -4*u - 23 = -4*l + u. Let i(v) = -v + 9. Let b be i(7). Differentiate 0*d**b + 2*d**2 + 2 - d**l with respect to d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.4 (b) 2\/11 (c) 1.23 (d) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z + z + 3*z + 0*z - 2*z + 0*z + 4*z - 2*z - z + (z - 2*z + 3*z)*(-1 - 1 + 3) + 4 - 4 - z - z + 0*z + 3*z.\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaavaaaaaa. Give prob of picking 1 a and 1 v.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13020?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -283*n**5 + 2*n**4 + 125*n**5 + 101*n**5 + 6*n**5 - 5*n**5 - 3*n**5 + (-n**2 + 2*n**2 + 0*n**2)*(0 + n**3 + 0) - 2*n**5 - 3*n + 3*n.\nAnswer: -60*n**5 + 2*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h\/(h\/h**(-1\/5)))*h**(-5)*(h**(-1))**(-3\/17) assuming h is positive.\nAnswer: h**(-308\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1404)*2)\/sqrt(3).\nAnswer: 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*b + 27 + 21 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 4, 1, -2\/7, 50\/19?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -320*m**2. Let f(q) = -4870*q + 3. Give f(d(j)).\nAnswer: 1558400*j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (0 + 8 - (-11 - -11))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.504312 and -3.\nAnswer: -3.504312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 12642, 12449, 12256, 12063, 11870?\n\"Answer: -193*z + 12835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17)\/(-13)*(-744)\/(-12648).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -391, -1557, -3469, -6103, -9435, -13441, -18097?\nAnswer: -23379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 8:16 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 12) to base 3\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - 14*w**2 - 16*w + 11. Suppose -6*q + 75 = -q. Let y be k(q). What is the common denominator of (-7)\/y*8\/(-6) and 11\/27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 11:31 AM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h**2*v**2 - 2564*h**2*v - h*v**2 + 10*h + 13*v**2 - 3*v wrt h?\nAnswer: -4*v**2 - 5128*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/84)\/(690\/(-276))?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118820?\nAnswer: 2, 5, 13, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 447877 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - -15. Suppose -5*i = 3*h - s - 3, -2*i - 4*h = -20. Solve 4*m = 3*y - 12 - 7, 0 = 2*m + i for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (60\/(-9))\/((-11)\/(99\/6)). Let a be (11 - 6)*6\/d. Put -1, 5, a, 2 in decreasing order.\nAnswer: 5, a, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8443 is divided by 2805.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4d (base 15) to base 10\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 13 - 15 = 0. What is the highest common factor of f and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence buo when three letters picked without replacement from {u: 1, j: 2, c: 4, o: 6, t: 1, b: 1}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5068 - 4432. Let c(u) = -356*u**2 + u + 1. Let r be c(-1). Let b = r + o. 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: What is the third root of 542421976 to the nearest integer?\nAnswer: 816","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1 and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*f - 95*f - 48*f + 1672 = -1480 for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -2\/7 (b) 0 (c) -0.12 (d) -2\/13 (e) -0.074\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2144, -3785, -4904, -5501?\n\"Answer: 261*d**2 - 2424*d + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 10, -3*r - 20 = -0*c - 4*c. Suppose 18*s - 15*s - 3 = r. Let o(h) = -s - 2*h - 5 + 3 + h. Determine o(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - 0 - -12 - (-54 + 15 + 6)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of 1\/18*v**4 - 4\/9*v**3 + 16\/9*v + 2\/45*v**5 - 4\/9*v**2 - 4. Factor p(j).\nAnswer: 2*(j - 2)*(j - 1)*(j + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 23 = 5*n, 5*n + 102*m + 32 = 98*m for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25120804 and 87922814?\nAnswer: 175845628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -37*y - 562. Determine s(-16).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (7 - -1) + (-1 - (-3 + 5))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/5136 and 29\/120.\nAnswer: 25680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58919 = 1408*h + 4441 for h.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 315496 + -4?\nAnswer: 315492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, 16, 2, 1\/5, -5, 2.529, 0.4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -217 + 222. Let l(j) = -j - 4. Give l(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, 1, 0 in decreasing order.\nAnswer: 1, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -3 and 81.32929 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (75\/(-6))\/((-10)\/4). Let u(y) = -y**3 + y + 357. Let k be u(0). Suppose 348 + k = z*c. What are the prime factors of c?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 551442 + -227797. Let r = -323630.7931 + w. Let h = r + -14.2. What is h rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/135*6\/4. Let y = -5 + 5. What is the second smallest value in t, -0.5, y?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1132211 + 7?\nAnswer: -1132206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*z = -34*z + 4*l + 500, -2*l = -5*z + 610. Calculate the remainder when 229 is divided by z.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 71.1706 years?\nAnswer: 0.0711706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 9 = 3*i, 2*i - 4 = -4*z - 16. Suppose 3*s + s - 628 = i. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5026252.6 to the nearest ten thousand.\nAnswer: 5030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 7*q + 5610 = 0. Let l = q + -499. Solve 0 = -7*w + l*w - 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 147*j**2 + 21003*j + 232. What is i(236)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u - 15 = -5*a, 2*a + 13 + 13 = -4*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 17.83, -3, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1241 is divided by 39?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(550)*-1*4)\/(sqrt(16)\/(sqrt(72) + sqrt(8)) - sqrt(2)*-1*2).\nAnswer: -80*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, t: 1, j: 2, s: 2}. What is prob of sequence stjs?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-175)\/(-15) + 107\/321?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2 + 100*c - 96.\nAnswer: -4*(c - 24)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 884571.4 years in millennia?\nAnswer: 884.5714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 57*i**2 + 202*i - 36. Determine p(-4).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 129 - -8d4?\nAnswer: 9fd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 76937?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -15 + -2724?\nAnswer: -2739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 22351341 (base 6) in base 4?\nAnswer: 2212311031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10166*c**2 - 15*c + 15*c - 10*c**3 + 5086*c**2 + 5080*c**2.\nAnswer: -10*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -331*x + 335*x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) -1403685 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.97425 litres in millilitres?\nAnswer: 45974.25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -33855.2, -0.5, -194, 1, -1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b + 3. Let u(n) = 6 + 2 - 3*n - 2*n. Give -8*o(w) + 3*u(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5394621?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 180 = -0*s. Suppose -3*r - r = -s. What is the greatest common factor of r and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m - 70295982. Let k(h) = 2*h. Give k(z(u)).\nAnswer: 4*u - 140591964","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1115676717 is divided by 54?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52024722?\nAnswer: 2, 3, 2557, 3391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-70)\/42)\/((-10)\/10). Is -121 < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 7*d + 10 = 0. Let q be 3\/6 - (-17)\/d. Let g = q - -14. What is the greatest common divisor of g and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.2519228kg?\nAnswer: 251.9228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 732331969?\nAnswer: 1097, 667577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/14 + 8696\/56. Let t = b - 92. Does 21 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 331098 and 12510.\nAnswer: 834","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3 (b) 2\/17 (c) -4\/23155\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 78985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3648296, 14593188, 32834674, 58372754, 91207428, 131338696, 178766558?\nAnswer: 233491014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3 and 124.\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 + 33 - 52 - 2*j)*(23*j - 4*j - 2*j).\nAnswer: -34*j**2 - 731*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 414339 (base 13) to base 9\nAnswer: 2771236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 5*t = t - 8, -2*t - 4 = 5*k. Let i be (0 - (-18)\/(-42))\/((-2)\/(-7)) + 2. What is the closest to -1 in -4\/3, i, k?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - -35) + 5 + -5. Calculate the greatest common factor of c and 136.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = m + 35, -5*m + m - 8*y = -84. Put -0.5, 4, m, -5, 1\/78 in decreasing order.\nAnswer: m, 4, 1\/78, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 3:59 PM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from ddddddddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 363544 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 372442303?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 43483969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 28, 71, 144, 253?\nAnswer: 404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3642\/191205)\/(1\/4*8\/(-3)).\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5 + 30 - (-4 - -3). Which is greater: u or -0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 167589757*l**3 - 271391938 with respect to l.\nAnswer: 502769271*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 204\/4463 > 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -548 + 593. Calculate the remainder when 58 is divided by s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 98810511?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 9:59 PM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (3 + 129\/39) - (5 - 22680\/364).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 1 = 4*q. Let w = 48 - 60. Let a be (-150)\/(-20)*1\/w. Is a less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (13 + 1)\/((-946)\/(-1419))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 35*q - 36*q - 2 - 4 - 1. Let g = -3 + 1. Let d(m) = 3. Calculate g*u(y) - 5*d(y).\nAnswer: 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/((-7)\/2) + (-66)\/(-14). Suppose 2*l - l + h = 0, 3*l = 3*o - 27. Solve -15 + 3 = o*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 27363 in descending order.\nAnswer: 27363, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 + 3*w + 2. Let d be l(2). Let g(x) = 2*x**2 - 14*x - 10. Let u be g(8). Suppose -5*n + d = -u. What is the least common multiple of 10 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23015080 rounded to the nearest 1000000?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -716bc?\nAnswer: 716bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 + 29*x - 4. Suppose 10 = -2*g - 5*i, 5*g - 1807*i - 9 = -1811*i. Let c(a) = 2*a**2 - 72*a + 10. Calculate g*c(s) + 12*u(s).\nAnswer: -2*s**2 - 12*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of -4*m**2 + 0*m**3 + 0*m**4 + 0 - 1\/1155*m**7 + 0*m - 1\/330*m**5 + 1\/330*m**6. Factor z(b).\nAnswer: -2*b**2*(b - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of 4*k**2 + 0*k + 0 + 7\/60*k**5 + 1\/120*k**6 - 7\/6*k**3 + 1\/6*k**4. Is 4 a factor of f(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 2*o + 114, 11*d = 15*d - 3*o - 423. Is 6 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/7, 2, 0.0166?\nAnswer: 0.0166","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 174\/(-58)*2485\/105?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7278 or -6458?\nAnswer: -7278","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92582 is divided by 523?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/(-8))\/((-1800)\/(-1120)). Let f(x) be the third derivative of 1\/3*x**5 - 30*x**2 + 0*x + 0 + 1\/3*x**4 + 0*x**3 - z*x**6. Factor f(v).\nAnswer: -4*v*(v - 1)*(7*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/168)\/(4\/(-8)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -10994, -21926, -32778, -43532, -54170, -64674?\n\"Answer: 3*x**3 + 22*x**2 - 11019*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-0.039\nAnswer: 0.0156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 43008 and 810?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 435660184.\nAnswer: 2, 6379, 8537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 388075 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -133513 and -2176 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.6 - 3.6. Let h = 1167\/7 + -167. Which is the closest to h? (a) 5 (b) 0.12 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.163892 + 79935?\nAnswer: 79934.836108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2218 (b) 3\/11 (c) 1\/5 (d) 1957 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-80)\/70*(-56)\/32?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 1 = 1. Suppose 5*t = -4*v + 323, u*v + 10 = -3*t + 203. Suppose 0*i + 3*i + 4*o = 154, i - o - t = 0. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*l - 1120 = 1180. Calculate the remainder when 1051 is divided by l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -51*t**3 - 8*t**2 + 1129?\nAnswer: -153*t**2 - 16*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -3*w - 152, 101 = -4*g + 5*w - 51. Let p = g + 38. Suppose 3*y + 3*a - 63 = p, -4*y + 3*a = -2*y - 67. Is y a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 393 + 3252. Does 17 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4522.\nAnswer: 2, 7, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-138)\/184)\/((-45)\/(-24)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2. Let z(a) = -3*a**3 - 9*a**2 + 4. What is -6*l(g) + z(g)?\nAnswer: -3*g**3 - 3*g**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 124808634 divided by -1434582\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4582 - -6.79\nAnswer: -4575.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 34\/5 + (-1)\/(-5). Let y = -4 + s. Solve 0 = y*x - 7*x - 8, -2*z - 5*x = 12 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -2*k + 3*t, -596*k - 4*t = -598*k - 10 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -294644*l = -294705*l - 366 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -26171000 to the nearest 1000000.\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 465774*g**3 - 5 - 11 - 13 + 29.\nAnswer: 465774*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 116\/20831 + 40386\/229141. Factor -92\/11*y - m*y**2 - 1058\/11.\nAnswer: -2*(y + 23)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 882 a factor of 6150282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 1580?\nAnswer: 3160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-7)*(34\/85)\/(4\/(-35))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, k: 5, n: 4}. Give prob of picking 2 k.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1049730574?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 4*u = 28, u + 6 = -3*w - 7. Let l be ((-11)\/w)\/((-3)\/27). Is l at most as big as -32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, 0, -4, 21 in ascending order.\nAnswer: -24, -4, 0, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 90908536?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1005309 divided by 111701\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 427.5 + -427.18. Which is the second biggest value? (a) 0.2 (b) 10 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1190195 bigger than -1190176?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2 - 278*k**4 + 851204*k - 2*k**2 - 851467*k + 0 wrt k.\nAnswer: -3336*k**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 c when two letters picked without replacement from {o: 4, c: 7}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 57 and 912.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 780 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 10. Let c(m) = 2*m - m**2 - m**3 - 9*m**2 - 2 + 15*m**2 + 5. Let b be c(o). Which is smaller: b or 14?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*t = -57*t - 396. Suppose t = 4*c + 5, -123 = -3*o - 3*c. Calculate the remainder when o is divided by 26.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -4. Suppose -1 - 11 = -n*u. Suppose -c = -u - 0. Is 6 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1664 is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 228?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 120 - 100 - 131 = 0. Calculate the remainder when 1403 is divided by i.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p + 11. Let d be u(-10). Suppose -2550 = 11*w - d*w. Does 15 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2772, 2760, 2736, 2694, 2628, 2532, 2400?\n\"Answer: -m**3 - 5*m + 2778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 11537*m**2. Let c(t) = 7*t - 1170. Give c(p(g)).\nAnswer: 80759*g**2 - 1170","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2 - 2 + 7 + 17*z - 5. Let w be g(1). Solve 4*d + 0*u - 18 = -2*u, 4*d - w = -u for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 PM and 8:20 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -536*x - 550*x + 1101*x + 29 + 17.\nAnswer: 15*x + 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00264 rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-2)*14*(-9)\/(-189)*33?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -32\/29, 2 in increasing order.\nAnswer: -32\/29, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0703 times -127483?\nAnswer: -8962.0549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, -31, -255, -725, -1525, -2739?\nAnswer: -4451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*w + 91*w**3 - 103 + 19*w + 101 - 90*w**3 in the form q*w**2 + b*w**3 + i + l*w and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of (201\/(-5))\/(24\/(-4880))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 2550 = -22443. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = -y + 3*d, -2*y - 2*d + 4 = 0. Let c(i) be the second derivative of i**3\/2 + i**2 + i. Is c(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of 152*q**2 - 655. Let k(t) = -4*t. Calculate k(p(u)).\nAnswer: -1216*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 249480\/24192*32\/6*((-2)\/5)\/2.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2726 and 39435679?\nAnswer: 1363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 6 + 12. What is the lowest common multiple of b and 57?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 660.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/8)\/(((-270)\/80)\/27)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 4*g = 426, 2*u = -g + 79 + 200. Let l(z) = -2*z**2 + 2*z + 10. Let p be l(7). Let q = p + u. Does 8 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 11*l**2 + l - 1. Suppose 3*h + 0*h - 39 = 0. Suppose h + 11 = k. Suppose 5*c + k = 29. Determine i(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 167621*v - 167644*v + 460 for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1301396.\nAnswer: 2, 325349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of b**4\/24 - 2*b**2. Let h(z) be the second derivative of -z**3\/2 + 101*z. Give h(f(i)).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 37, 81, 159, 283?\nAnswer: 465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 984.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/9*2\/(-7))\/(-13*(-16)\/16224)\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-6) + (-398)\/(-6). Suppose 6*b = 9*b - z. Let d = b - 22. Solve 2*s + 5*j = -8, 4*j + 5 + 3 = d for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1062185.9303 + 11?\nAnswer: -1062174.9303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -810.8 (c) 0 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 440.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -87, -4, 19, -3, 4, -2, 32 in descending order.\nAnswer: 32, 19, 4, -2, -3, -4, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53145?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 w, and 2 y when four letters picked without replacement from {n: 1, y: 2, w: 5, i: 1}.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.012565645752 rounded to five decimal places?\nAnswer: 0.01257","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7574571 (base 8) in base 4?\nAnswer: 13233211321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 1:24 PM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 166*l**3 + 12*l**2 - 53*l + 53. What is the smallest common multiple of 54 and w(2)?\nAnswer: 2646","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 970684789 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p - 1. Let k be h(11). Suppose 0 = -5*x - k, 0 = -c - 2*x + 3*x - 4. Let i(o) = -o**2 - 6*o + 1. Let r be i(c). Which is smaller: r or 0.16?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 3311 = 10821. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine thirds of a week in hours?\nAnswer: 3304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 - 95*k - 2235. Determine n(-46).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -755, -2054, -3861, -6146, -8879, -12030, -15569, -19466?\nAnswer: -23691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 43 = -r - b, -4*r - 5*b = -181. Let j = r - -21. Round j to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 122, 477, 1072, 1913, 3006?\nAnswer: 4357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t - t - 1 - 1064372155*t**2 + 1064372182*t**2.\nAnswer: 27*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**3 + 0*j**3 - 2*j**3)*((-3*j + 2*j + 6*j)*(0 - 4 + 8) + 2*j - 5 + 5 + 2 - 2 - j).\nAnswer: 21*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = 7*j + 7*j + 33 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 132\/88 - (27\/15)\/(28\/10). Solve -2\/7 - b*n - 6\/7*n**2 - 2\/7*n**3 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, -0.47, 0, -0.4 in decreasing order.\nAnswer: 5, 1, 0, -0.4, -0.47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 - -13. Put n, 2\/3, -1\/3 in descending order.\nAnswer: 2\/3, -1\/3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -9784, -41239, -94354, -169129, -265564?\n\"Answer: -10830*b**2 + 1035*b + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33907 at most as big as 33916?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -10*g**2 - g. Let s(q) = -11*q**2 - q. Determine -5*k(y) + 4*s(y).\nAnswer: 6*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 63995 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.7 + 0.3. Let p be -21 + 9 + 40 + 3 + -8. Which is greater: p or v?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 424801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 277710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 254637 and -63?\nAnswer: 254700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.6 + 5. Let u = -0.18 - -5.18. What is the second smallest value in b, 1\/6, u?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 6:10 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of -1\/4*b**4 + 2*b**3 + 0*b**2 + b + 0. What is the second derivative of h(v) wrt v?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 34*n**2 + 33*n. Let m be p(33). Let u = 20 + -119\/6. Determine c, given that m + u*c**2 + 0*c = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((6640\/(-15))\/1)\/((-14)\/21) and 2.\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nk when two letters picked without replacement from krkknnnk.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jrrj when four letters picked without replacement from jjjjjrjjjjjjjjrjjjjj.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/(-2)*(-4)\/(-6). Let r = -414 + 490. Suppose r*x - 70*x = 0. Solve 3*b = -q*o - 14, 5*o - 3*b = -x*o - 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -86 - -1?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*((m*m**(-1\/4))\/m*m)\/m*m*m**(-10\/9))**(-13)\/((m**(1\/2))**21*(m**(-5)\/m)\/m**(2\/11)) assuming m is positive.\nAnswer: m**(-4999\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.86 + -6.86. What is the closest to y in 0, -32, 2\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 290?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 49 - 47. Suppose -v + 1210 = -h*g, -2*g + 1921 = 2*v - 529. What is v rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -7*z - 5. Let m(t) be the first derivative of t**5\/60 - 65*t**3\/3 + 85. Let q(l) be the third derivative of m(l). Calculate q(j(h)).\nAnswer: -14*h - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = -k - 4*w + 6, 0 = 3*k - 4*w + 9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -2 - 6*b + 1\/2*b**2. Calculate a(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, -2, 5, -3\/7, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -10054 times 2\nAnswer: -20108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 795?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -25956 in 0, -3\/14, -4\/5, 2\/11, 2?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -279 (base 11) to base 16.\nAnswer: -148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-1)\/((i*(i\/(i\/(i\/(i*i**(1\/9))*i)))\/i*i)\/i*i*i)*(i*i*i**(4\/3))**(14\/5) assuming i is positive.\nAnswer: i**(49\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6846380, -13692761, -20539142, -27385523?\nAnswer: -34231904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1279*n - 1197*n - 108944 for n.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6300 and 1374?\nAnswer: 1442700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-38048)\/176)\/(-41))\/((-4)\/(-11))*4\/1?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 14*q + 18. Let w(x) be the second derivative of 0 + 5*x - 1\/2*x**q + 1\/2*x**3. Determine w(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11727 - -59002\/5. Let o = r + -73. Which is the nearest to -1\/4? (a) 4\/7 (b) o (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -5*b**2 + 137*b - 115. Let z(c) = -c**2 + 23*c - 19. Let d(t) = -6*o(t) + 34*z(t). Factor d(w).\nAnswer: -4*(w - 1)*(w + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 8*j + 9*j = 74, 4*c - j = 301. Let n = c + -57. Let v be (10 - 1\/1) + -3. Solve 3*m + n = v for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 66. Let l = j - 60.42. Round l to 1 dp.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 1:04 AM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence voaw when four letters picked without replacement from vwnwwvwwwvwvjawwjowv?\nAnswer: 5\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12636464 is divided by 2412?\nAnswer: 2408","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -197\/2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 - 2*d**3 - 6995*d - 88 + 99 to s + i*d**3 + l*d + v*d**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 5111190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 + f + 1. Let d be a(-2). Suppose 0*k = k - 3. What is the third derivative of -7*z**2 - z**d + 5*z**2 + z**k + 5*z**6 wrt z?\nAnswer: 600*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25 in 0, 4\/27, -6\/5, 3\/2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92553 is divided by 116?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 3 + -5 - 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 7 = 7*n. Let g be (0\/(-5))\/(2\/(n + -2)). Suppose -6*q + 3*q + 9 = g. Calculate the remainder when 11 is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2241.02 + 2241. Which is the fourth smallest value? (a) p (b) -5 (c) -0.3 (d) -5\/2 (e) 0.52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -168*u - 185*u - 185*u - 182*u + 722*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(3\/10))**(-3\/2)*(x**(2\/5))**(-2\/27) assuming x is positive.\nAnswer: x**(-259\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 21\/(441\/(-14))*(-1)\/4*10. Which is smaller: m or 51?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*l - 4*l - 4*z - 295, 37*l - 219 = -6*l + 2*z - 28 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qeu when three letters picked without replacement from eqeeuqqqqbqbaqeq?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1600998 and 3962?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 133984740 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v**3 + 10*v**2 + 2*v - 10. Let u be k(5). Let g(i) be the second derivative of -i**4\/12 + 5*i**2\/2 - 2*i. Determine g(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -5*t. Let d be m(-1). Suppose 0 = -d*p + 19 + 231. Suppose g - 2*g = -p. What is g rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(-2\/17)\/h))\/h*h*h*h**(-7\/6)*(h**(-5)*h)\/(h\/h**16) assuming h is positive.\nAnswer: h**(1321\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 d when two letters picked without replacement from ajmajnnjnvmmvdmmjjj?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(3 + sqrt(567) + 1 + 1) + -3*-1*(sqrt(567) - (sqrt(567) + -1 - sqrt(567)))*-5)**2.\nAnswer: 2520*sqrt(7) + 111232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-39))\/(137\/(-1781)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/4*-4*(-2277)\/594\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 6:36 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 0 - 2. Let a be 5 + -1*(f - 1). Is 12 a factor of (38 - (a + -1)) + 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 - 7*o - 6. Let c be q(-4). Which is smaller: -3 or c?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 904311.\nAnswer: 3, 33493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than 6540?\nAnswer: 6539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 33822965677 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, 1, 32, 19 in decreasing order.\nAnswer: 32, 19, 1, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4344897?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 33877940977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167386 = -11*i + 86450. Suppose -173*u - i = -191*u. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s**5 - 5*s**4\/2 + 35*s**3 - 25*s**2\/2 - 15*s = 0.\nAnswer: -3, -1\/2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of -v**3\/3 - 7*v**2 + 23*v - 3. Let q be u(-11). What is the greatest common factor of q and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11.26+-17\nAnswer: -28.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 29984255?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4634.622 + -4639. What is u rounded to zero decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -7*o - 3. Let l = 5 + -3. Suppose -6*n = -l*n - 16. Calculate the remainder when t(-2) is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 40 (c) 16 (d) 7\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2010 (base 3) in base 2?\nAnswer: 111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4296661 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14352657?\nAnswer: 3, 11, 19, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.8 and -9.\nAnswer: -7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 2. Let h be -3 + (2 - b\/2). Let y(f) = 22*f**2 + 2*f - 3*f - 7*f**2 - 10*f**2. Give y(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 722?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56\/399*96\/(-8)*(-1)\/16.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 4. Suppose -h*w + 181 = -5*q, -175 = -3*w - q + 3*q. Calculate the remainder when w is divided by 40\/1*(-2)\/(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -453 - -161. Let o = 294 + h. Solve -7*u = -o*u + 25 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -20*o - 43. Let z(b) = b - 12. Let n(g) = i(g) - 4*z(g). What is n(2)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 903653.1 millilitres?\nAnswer: 903.6531","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2219189?\nAnswer: 7, 79, 4013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/4)\/(-1*(0 - 1)). Which is smaller: m or 2\/347?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150288508697 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4 = 4*n + p, 0 = 3*p + 6. Let y be 6 - (0\/(-1) - n). Find the second derivative of 4*m - 2*m**y - 2*m - m wrt m.\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 0)*(-l + 0 + 0)*(37*l + 271*l - 105*l).\nAnswer: 203*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*c + 1175 = 3929. Calculate the greatest common divisor of 17 and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.08, 0.4, -11 in decreasing order.\nAnswer: 0.4, -0.08, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 + 10*x + 1. Let a be c(6). Suppose -d + a = -0. Does 5 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 8*j - 20. What are the prime factors of w(6)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -115*l*n**2 + 3067462*l - 16416*n**2 wrt n.\nAnswer: -230*l*n - 32832*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65\/390 - 7\/30.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a litre in millilitres?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v*v*v\/(v*v**(-2\/17)))\/v)**(-19) assuming v is positive.\nAnswer: v**(-684\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 + -2 - (1 - 6). Suppose n*l = -4*l + 48. What is the least common multiple of l and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -3*n**3 + n**2 - n + 1. Let y be h(1). Which is the closest to y? (a) 5 (b) -14 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006665721 to 7 dps.\nAnswer: -0.0000667","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -n*r - 232*n + 758*r wrt r?\nAnswer: -n + 758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6775*g = -6779*g - 4*z + 40, -4*g + 22 = -2*z for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9415\/(-26600) - (-2)\/(-95)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-0.22575.\nAnswer: 0.22575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -4*o**3 - 1946*o**2 + 1936*o + 8. Determine u(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5}. What is prob of sequence rrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 21*r**2 - 20*r + 107. Let m be k(22). Let y = m - 106. Calculate the remainder when 178 is divided by y.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -639, -1572, -2713, -4050, -5571, -7264?\n\"Answer: 2*y**3 - 116*y**2 - 599*y + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence akgg when four letters picked without replacement from kkgggkgga.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -223, -233, -253, -289, -347?\n\"Answer: -p**3 + p**2 - 6*p - 217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1017622 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 - b - 1. Let r be k(3). Suppose -m + 4*m - 254 = -4*x, -470 = -r*m + 5*x. List the prime factors of m.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from {t: 4, q: 7}.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14835973?\nAnswer: 41, 47, 7699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26963?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.05 (b) 33 (c) 1\/37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -893*y**3 - y**2 - 7*y - 5. Let r(u) = 894*u**3 + u**2 + 6*u + 4. Calculate -4*r(w) - 3*v(w).\nAnswer: -897*w**3 - w**2 - 3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1*sqrt(684) + 1 + -5 + (2*sqrt(684) + -5 + sqrt(684))**2 + 0 + -5.\nAnswer: -174*sqrt(19) + 6169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1695937849 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1472 and 92.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 - -22. What is the least common multiple of (-346)\/(-6) - ((-55)\/(-15) - 4) and c?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 86099 + -53910. List the prime factors of y.\nAnswer: 32189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -287058, -1148486, -2584200, -4594200, -7178486, -10337058?\n\"Answer: -287143*h**2 + h + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(4 + sqrt(17)))**2 - (sqrt(1377) + 1 + sqrt(1377))) + ((sqrt(425) - (sqrt(425) + 4*sqrt(425)))*5)**2*-6.\nAnswer: -1019968 - 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 82891000 to the nearest 100000.\nAnswer: 82900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c - 25. Let t(k) be the first derivative of k**3 + 37. Determine u(t(a)).\nAnswer: -6*a**2 - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000231186193 rounded to 7 decimal places?\nAnswer: 0.0002312","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: 1001010100000110 (base 2) to base 14\nAnswer: dc90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1820)\/(-65) + 13\/(273\/(-462))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 24052*j - 7792834. Determine z(324).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 9) to base 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2948*m = 2994*m - 2519512. Is m a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 28*d + 1371. Calculate f(-49).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/77 - (-80)\/(-22).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 7*b**2 + 23*b. Let f(u) = 35*u**2 + 119*u. Let o(m) = 4*f(m) - 22*j(m). Let r(s) = -s. Calculate r(o(l)).\nAnswer: 14*l**2 + 30*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + 13 + -17 + 5 + 6 + -10?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(17)*-3 - (1 + sqrt(17)*-3)) + sqrt(102)\/sqrt(6) + -2 + sqrt(17) + (sqrt(136) - (sqrt(136) - (sqrt(136) + sqrt(136)*4)) - sqrt(136))\/sqrt(8).\nAnswer: -2 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3.328549mm?\nAnswer: 3328.549","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of l**5*t**3 - 1614392*l**5 - 5*l*t**3 - 21*l*t - 2*l - 19 wrt l.\nAnswer: 20*l**3*t**3 - 32287840*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 3 + 4 + (1 + 2 - 5)*(3 - 4 + 2))*(2 - 1 + 4*x - 3*x)*(1 - 1 + 2)*(-5 - 7 + 11) as h + k*x and give k.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 4*r - 137, 36 = r + r - 4*l. Suppose 3*v + 11 = -2*q, 2*v + r = 5*q + 8. Suppose q*j + 52 = 4*j. Does 13 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-4))\/(14 + 666\/(-48)). What is the highest common divisor of 866 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -97 - -199. Suppose l + 1270 = 5*z, -5*l + 2*l + 1290 = 5*z. Calculate the greatest common divisor of z and p.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -2*y**3 + 2740*y**2 - 80850*y + 603000 = 0?\nAnswer: 15, 1340","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21422, 171350, 578292, 1370756, 2677250, 4626282, 7346360?\nAnswer: 10965992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/72089 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u = 102 - 150 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-39950)\/1598)\/(10\/(-54)).\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8\/(-10))\/(8\/(-60)). Solve -p*k + 8 = -2*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) -247406.3 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-59)\/(-118)*(-4)\/14.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2263, -4502, -6741, -8980, -11219, -13458?\nAnswer: -15697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 127.7487+-1440472\nAnswer: -1440344.2513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.37 (b) -0.5 (c) -7 (d) -0.4 (e) 0.6 (f) -2.97 (g) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-5)\/5)\/(-1) - -5. Let c be 6*3\/27*i. Solve 3*x + 2 = c*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54806 is divided by 36?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 4) to base 15\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -3. Let a = l - -0.1. Let f = -0.714 - -0.014. Is f equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 322, 2\/15, -636.\nAnswer: -636, 2\/15, 322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h - h + h)*(3 - 4 + 0) + 2*h - 4 + 4 - 3*h - 6*h - 8*h + 8*h + 0*h + h.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(396))\/sqrt(9) - sqrt(44))\/(-2*sqrt(196)).\nAnswer: sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48708 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/7 + 3887970*d\/7 - 7775932\/7.\nAnswer: -2*(d - 1943983)*(d - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1125085 and 13585?\nAnswer: 1235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 933138 divided by 423\nAnswer: 2206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + -3 + 1 + 14. Let s be ((-2)\/(-6)*-15)\/((-5)\/4). Solve -s*n - c = -n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 290772 * -0.01.\nAnswer: -2907.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 - 1)*(7*f + 0*f - 2*f)*(0 - 1 - 1).\nAnswer: 30*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*p + 2*i + 12, 176*i - 172*i = 3*p - 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -61, -105, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 78 (base 15) to base 5\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000218878 to 6 dps.\nAnswer: -0.000219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 28980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 346 + -346.79. Round n to one dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28 - -14. Suppose -2*z + 1 = 3*d - 21, z = -d + 9. Calculate the remainder when s is divided by d\/30*-3*-55.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (7 + (38 - 3 - 14))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75, -124, -159, -186, -211?\nAnswer: -240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from vqklvqqvackvlqvq.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-5))\/((-1692)\/(-282))\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 42*l - 2*l - 1960. Suppose 41*j = l*j - 80. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*r + 2 - 2)*(-6 + 1 + 3)*(-15 + 1 + 3)*(5*r**2 + 2 - 2) in the form b + p*r**3 + l*r + d*r**2 and give p.\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/9, -3, -4\/7, 2\/7, 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z - 12*z - 6 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 8*h**3 - 3*h**2 + 4*h - 2. What is the remainder when n(2) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2351.83 - -2328. Let g = c - -23. Let o = 0.49 + g. What is o rounded to 2 dps?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(80)*-3.\nAnswer: -60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -524*y**2 - 933*y.\nAnswer: -1048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 + 4 - 4\/(-1). Suppose 671 + 485 = d*c. What is the highest common divisor of c and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - 27. Let a = s + 34.18. Round a to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1504 - 5?\nAnswer: -1511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from urjquqejjjfr. What is prob of sequence rfqr?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6335153*b*s**3 + 23*b - 27316 with respect to s.\nAnswer: 19005459*b*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 12 = -4*q, 5*q = 4*q + 5*i - 3 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of 3*o**2\/2 - 12. Let l(n) = -7*n**2. What is y(l(p))?\nAnswer: -21*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-9) - 0 - 20\/30. Suppose o = -s + 21738 - 6641. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (21\/28)\/((-3)\/(-8)). Solve 0 = v*g + g - 12 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 35*m**2 - 17*m + 18*m + 27*m**2. Let q be (-3)\/2*(-2)\/3. List the prime factors of d(q).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 + (2 - 3) + (1 - 0) - (13907 - 13907).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3, -16, 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*-2*sqrt(68))\/(-1*sqrt(576)))**2.\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 35*i + 1234. Give y(-32).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 69*q**3 + 6 + 0 - 6 + (-15*q - 23*q - 18*q)*(q**2 - q**2 - q**2) to l*q**2 + c*q + z + v*q**3 and give v.\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q = -q + 2*q. Let u be (q\/(-2))\/(3 + -8 + 4). Suppose u = -3*j - 110623 - 69677. What is j rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z*z**(-9\/2)*z)\/z**(-6))**(-31)*(z*z*z\/(z\/(z\/(z**(-2)\/z*z))*z)*z**(4\/3)*z)**(10\/19) assuming z is positive.\nAnswer: z**(-1003\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l**2. Let g be k(-4). Let s = g - 34. Let c(i) = -4*i**3 - i - 1. Let q be c(-1). Put s, -3, q in descending order.\nAnswer: q, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*t + 22*t + 4975*t**3 - t + 23*t - 4965*t**3.\nAnswer: 10*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18571 and 21224?\nAnswer: 148568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - 7*m + 2*m)*(-4 + 4 + 4).\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y**4 - 14474*y - 10*y**3 - 13 + 14474*y to the form b*y**4 + d*y**2 + t*y + g*y**3 + n and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 12) in base 3?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2*b + 14 = 0, -4*v + b = 8 + 5. Is v + 4\/((-20)\/(-1335)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152*r**3 - 152*r**3 - 153*r**3 + 452*r**3.\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 56741?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 - -20. Is j at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4103 is divided by 108?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -2, -4\/7, -509, -0.5?\nAnswer: -509","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7967 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one fifth of a centimeter?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-233)\/(-10) - 1)\/(304\/(-40)). Let v = -6\/19 + c. Find the common denominator of 9\/188 and v.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4914a1 (base 12) to base 9.\nAnswer: 2204584","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -571487 + 571491. Solve -21*g**3 - 24*g - 9\/2*g**n - 69\/2*g**2 - 6 = 0.\nAnswer: -2, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/140 and 121\/126.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 62529 - 3?\nAnswer: 62526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a decade in years?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 55 + -166. Let v = -111.1 - m. Which is the smallest value? (a) 2\/3 (b) 3 (c) -0.2 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -406, -730, -1040, -1330, -1594, -1826, -2020?\nAnswer: -2170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*3\/(-6)*(-8)\/28.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 AM and 3:22 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five halves of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d**2 - 144*d + 570. Give c(-76).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*y**3\/5 - 97*y**2\/5 - 228*y\/5 - 27\/5.\nAnswer: -(y + 3)*(y + 9)*(8*y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is a857 (base 16) in base 11?\nAnswer: 2a418","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*x**3 + 4\/9*x + 0 + 1\/9*x**4 + 0*x**2.\nAnswer: x*(x - 2)**2*(x + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + y = 4*m + 12, 5*y = 2*m - 12. Let z = 7.2 + -37.2. Let k = 30 + z. What is the closest to -1\/4 in k, 2\/11, y?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((x\/x**(-5))\/x)\/x*x)\/(x\/(x**(4\/3)*x*x))*(x*x\/x**(-2\/3))**(-31))**(1\/25))**5 assuming x is positive.\nAnswer: x**(-226\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15219, 60876, 136975, 243516?\nAnswer: 380499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -270 or -47?\nAnswer: -270","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3.021524056 from -614.\nAnswer: -617.021524056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 638*f**2 - 165*f**2 - 160*f**2.\nAnswer: 313*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (-3 + -1 + -9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = t - 523, 2610 = -56*t + 61*t - 5*o. What is the remainder when t is divided by 165?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 468 + 1?\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 761 divide 414745?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.33 - -2.1. Let p = 0.770268 - c. Round p to 5 dps.\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 AM and 9:39 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 789?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/28 and -139\/60.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-468)\/18*2*2\/(-16)*-2?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 6*h**2 + 28*h - 162. Determine a(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19\/3 or 7?\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 5*r + 13, 31*y - 29*y = -4*r + 12. What are the prime factors of (-11794)\/(-8) + (-1)\/y?\nAnswer: 2, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0289932818 rounded to 3 dps?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4a (base 14) to base 7\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-30)*(-3)\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4961 (b) -4 (c) 2 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1651.558 centimeters to millimeters.\nAnswer: 16515.58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 PM and 1:38 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 - (-44 - (-168 - -84))?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 873031335*d**4 - 348430441*d**2.\nAnswer: 20952752040*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4641736 is divided by 278?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**3 - 4*r**2 - 5*r + 2. Let j be c(3). Find the second derivative of -3*v**5 + 10*v**j - 6*v + 2*v**5 wrt v.\nAnswer: 180*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 754.6 + 296892259.\nAnswer: 296893013.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.1 + -3.3. Let d = 16\/9 - 98\/45. What is the nearest to -2\/11 in d, c, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*u = 3523 - 56515. Does 32 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f, -2*f = 4*q - 0*f - 8. Suppose -q*u = 3*u - 165. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10542091.\nAnswer: 7, 17, 88589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 220*z**2 + 0 + 89*z**2 - 10*z - 6.\nAnswer: 309*z**2 - 10*z - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 - -29.2. Let z = o + -16.1. What is the smallest value in 2, z, 43?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*a**2 + 44*a**2 + 47*a**2 - 18*a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -60 + 62. Suppose -u*z - 66 = -3*z + 4*c, 111 = 2*z - c. Is z a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23653056 by 1689504.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 - -25. Let v(l) = l**3 - 5*l**2 + l. Calculate v(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 740167 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of 6 + 7*d**2 + 0*d + 23\/3*d**3. What is the second derivative of a(k) wrt k?\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -7*o + 25. Let h = 99 - 93. Let k(u) = -4*u + 13. Determine h*q(l) - 11*k(l).\nAnswer: 2*l + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -5\/2 (c) -2202683\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of 11\/60*c**5 + 5\/6*c**3 + 0 - 3*c**2 - 5*c + 1\/4*c**4. Let x(a) = 5*a**2 + 3*a + 2. Determine -4*v(g) + 9*x(g).\nAnswer: g**2 + 3*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 612928711 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: What is 1462 rounded to the nearest 10?\nAnswer: 1460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 3*s - 15 = 0, i - 4*s = 2*i + 20. Let r(d) = -d - 1. Let v(w) = -w**2 + 3*w - 643. Let h(l) = -4*r(l) - v(l). Is h(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 9*t**3 + t - 1. Let j = 0 - -6. Suppose -2 = -j*r + 4*r. Give b(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28270 - 3631. What are the prime factors of o?\nAnswer: 3, 43, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2\/13 (b) -1\/4 (c) -0.4 (d) 200\/9 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = 5533*g - 5519*g + 153, 57 = -s - 5*g for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1305?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-8) + (-6)\/(384\/584).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 299740 is divided by 299598.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**3 - 4*q**2 - 2*q - 6. Let n be f(3). Let i(x) = x**3 + x + 1. Let u(h) = -7*h**3 - 6*h - 9. Determine n*i(t) + u(t).\nAnswer: -t**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oq when two letters picked without replacement from {q: 2, o: 3, c: 3, d: 1, z: 1, a: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*r + 3*y + 24, -13*r + 10*r + 12 = -y for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 5*t = -0*t + 119, 3*m + t = 81. Calculate the remainder when 413 is divided by m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen quarters of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-130))\/((-12)\/(-52)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 46*l**2 + 9*l + 7. Let k(s) = -69*s**2 - 13*s - 10. Give 5*k(b) + 7*w(b).\nAnswer: -23*b**2 - 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c*(c**(2\/5)*c)\/c*c*c\/c**(2\/25)*((c\/c**(-2\/15))\/c)\/(c**(-2\/5)*c*c*c))**(-31) assuming c is positive.\nAnswer: c**(-6634\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1231, 1517, 1803, 2089, 2375?\nAnswer: 2661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1208?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -90.6129 rounded to 1 decimal place?\nAnswer: -90.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -10000 (base 2) to base 14\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.429 and 1477?\nAnswer: -633.633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1262830 a multiple of 254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y - 285 = 9*y - w, -3*y = -w - 163. What is the least common multiple of 184 and y?\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 - (-61 + 25 + 14)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.67985168 rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1482666324?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 7*q**2 + q + 2. Let r be x(-7). Let y(m) be the first derivative of -7*m - 1\/3*m**3 - 2 - 7\/2*m**2. Give y(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 189335 and 16055.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 2*h - 17. Suppose h = k - 3*i, -45 = -5*k + 2*i + 3*i. Suppose k*c + 0*j + 8 = -4*j, 8 = -c - 4*j. Solve c = 2*d - 3*r + 1 + 7, 8 = 2*d + 5*r for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = x - 5*v + 2*v, 3*x = -2*v + 68. What are the prime factors of x?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1121186 + -6?\nAnswer: -1121203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 19761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*1*(3 - 19). Let z be (0 - j)*(-7 - -5). Solve 5*r = -u + 21, -5*r + z = 2*u + 10 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -5136.\nAnswer: -1\/2568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 319.2723 millilitres in litres?\nAnswer: 0.3192723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*q - 6695 = -109*q. Calculate the smallest common multiple of 927 and q.\nAnswer: 4635","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-4\/3)*o**(-2))\/(((o*o**(1\/9))\/o*o)\/(o\/((o\/o**4)\/o)))*(o*o**(2\/3)\/o)\/(o*o**(4\/5))*o**(3\/10)*o\/(o*((o*o\/o**(-7))\/o)\/o)*o assuming o is positive.\nAnswer: o**(-113\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 32681026.\nAnswer: 2\/16340513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide (-16)\/(-2)*65\/26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33\/33*0\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 48 + -20. Suppose 137 + 31 = 14*y. Calculate the remainder when g is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 52*w + 3. Let r be ((-8)\/1)\/(3\/((-9)\/6)). Is u(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4*7\/42 - (-4)\/3. Let v(z) = 134*z + 4. Does 19 divide v(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6102*j + 6102*j - 8*j**3.\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 - 15. What is the first derivative of t - 54*a**2 + 54*a**2 + a**3 + 1 wrt a?\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = 5*i + 9*q, 5*i - 15*q = -4*q + q - 4*q - 2*q + 15 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 3*t**2 + 2*t + 6. Let v be h(-5). Let q = 50 - v. Solve w + 8 = -q*f, 2 = -0*f + 2*f + 2*w for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158338 + 47592*y - 158338.\nAnswer: 47592*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -98*o**2 - 2*o - 12. Suppose 7 = -2*h + h + 2*i, -4*i - 21 = 3*h. Let s be n(h). Round s to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*f + 379*f + 8943*f + 1529*f.\nAnswer: 10967*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*485.89498\nAnswer: 242.94749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2489 a factor of 305951220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -5\/2, -0.1, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34582 + -235352. Round h to the nearest 10000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24244698?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17518855 is divided by 594.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -2057*f + 2059*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8334179003 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 180786 and 4850261.\nAnswer: 5031047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106395 is divided by 42.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -68*r - 79. What is the hundreds digit of u(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + 2*i - 7. Suppose -4*r = -k - 66, 0 - 11 = -r + 3*k. Suppose -r*j = -12*j + 25. What is q(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 43680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 - 7*y - 9. Let s be a(-6). Let t be -3 - s\/(-2)*-2. Suppose 3*c + 41091 - 311091 = t. Round c to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 121\/3 + -40. Let z(s) be the second derivative of w*s**3 + 0 - 1\/20*s**5 + 0*s**2 + 1\/12*s**4 + 2*s. Determine z(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**2 - 24*a + 13*a + 11*a.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3773652342?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**3 - 59*k**2 + 231*k + 8871. Calculate f(-28).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1219 (b) 5 (c) 51\/5 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1000010101000010010 (base 2) to base 5\nAnswer: 32213124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/15)\/(184\/1150)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, i: 8}. Give prob of sequence uiu.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a microsecond in nanoseconds?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11*j**3 + 9*j**2 - 475.\nAnswer: -33*j**2 + 18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 51\/(-30) + 2 - 10\/50. Let o = 8 - 53. Let j be -2 + 5\/(o\/(-12)). What is the biggest value in -0.4, j, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12429975 minus 196?\nAnswer: -12430171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 66\/(-33)*(-262 + -1). Suppose 478 = 2*c - i. What is the hundreds digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - 1 - (-21 - -2). Suppose -4*w = -43 + 3. What is the greatest common factor of c and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/15)\/q**(-2))**(-50) assuming q is positive.\nAnswer: q**(-280\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3006 + -2907. What is the highest common divisor of 162 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41913 * 17\nAnswer: -712521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-8)*264\/(-3). Let j = -3661 + 3583. Let b = p - j. Solve 0 = 5*g - b + 37 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 13 = -3*q, 7*q - 12*q = 25. Solve 2*n = b*n + 15 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 762, 751, 728, 687, 622, 527, 396?\nAnswer: 223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 442, 25, -2, -3, -11, 4, 3 in decreasing order.\nAnswer: 442, 25, 4, 3, -2, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007870214966 rounded to four dps?\nAnswer: -0.0079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/3 (b) -5 (c) 1096 (d) 3 (e) -2508\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25110 + 25110.5. What is the nearest to 2\/5 in s, 1, 3, -0.0288?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 10. Suppose f - 348 = -z*f + 5*x, -5*f + 4*x = -444. 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: What is prob of sequence zf when two letters picked without replacement from {i: 2, k: 1, f: 5, c: 1, t: 4, z: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 612099, 1224487, 1836875, 2449263, 3061651, 3674039?\n\"Answer: 612388*a - 289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 27844+-3096.2922\nAnswer: 24747.7078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3 (b) 0 (c) -6 (d) 4259\/225\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 246 + -435. List the prime factors of (1 + r\/(-1))\/(0 + 1).\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 + 9*y + 6. Let o be r(-8). Sort 3, o, 1 in decreasing order.\nAnswer: 3, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from luuwuwwwuuu.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 4:40 PM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22032230 - 13?\nAnswer: -22032303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 divide 476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -138901180.35 to the nearest one thousand.\nAnswer: -138901000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.22 times 2?\nAnswer: 0.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 55\/4 of a meter?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2616, 3067, 3518, 3969, 4420, 4871?\nAnswer: 5322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**3 - 86884*h**2 - 472018976*h - 2357923280.\nAnswer: -4*(h + 5)*(h + 10858)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.27, 2, 9, -2\/5?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -462228\/17 + 27190. What is the nearest to 0 in -7, 5.39, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**2 + 5*s - 2. Let h(r) = r - 1. What is -g(x) + 3*h(x)?\nAnswer: 2*x**2 - 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/9 - 14\/(-3). Solve -t + n*t = 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -58*p - 1921. Determine t(-32).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 4*l - 8*l - l. Is z(-1) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-68) - 2951\/(-7718))\/((-2)\/60).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y + 33. Let q = 28 - 13. Let b be w(q). Let i be 3\/b + 22\/12. Solve i*s + 2*m = -2, 3*m = -2*s - 2*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 2*c = -6, 0 = -5*c + 2 - 27 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.54 - 2.74. Which is the fourth smallest value? (a) x (b) -1 (c) 0.04 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38, 308, 1038, 2456, 4790, 8268?\nAnswer: 13118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (7 - 6)*(-5 + 10) + -5. Suppose 10*f - 144 - 96 = r. Calculate the greatest common divisor of 648 and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s + 65. Let r be i(30). Suppose 5*u - 890 = -3*a, 9*u - 12*u + 2*a + 515 = 0. Calculate the greatest common divisor of u and r.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 54*y - 82. Let x be c(2). Let k(l) = 27*l**2 - 2*l - 1. Let f be k(-1). Is f < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/4*(-32)\/(-12). Which is the biggest value? (a) -0.1 (b) n (c) 0 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 - 17.7. Let c be (0\/(2 + 0))\/(56\/(-56)). What is the fourth smallest value in c, i, -2, -2\/13?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 3:07 PM?\nAnswer: 5:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 170 + -120. Suppose -4*n = -141 - 55. Is n less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342711 to the power of 1\/2, to the nearest integer?\nAnswer: 585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88820?\nAnswer: 2, 5, 4441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 26826220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45) - (sqrt(4500)*1 - sqrt(4500)))\/(-2*sqrt(225)) + 2*(3 + sqrt(5)) + sqrt(320) + sqrt(320) + 2)**2.\nAnswer: 1432*sqrt(5)\/5 + 33321\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + ((1 - 4) + 355 + -212 - 9) + -12.\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*h - 33*h + 144*h - 57*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -c**3\/2 + 41*c**2\/2 + 85*c\/2 + 43\/2 = 0.\nAnswer: -1, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.066? (a) -2\/19 (b) -3 (c) 0 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1171593 is divided by 368.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4152958 and 194?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46127 and 156523?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 6*z**2 + 6*z - 5. Is b(11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 3*x = 4*q + 14, -x = -q. Suppose 0 = k - 0*k - 2. Let j(a) = -1 - a - a - k*a. Determine j(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/30 - (-32 - 3021183\/135) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddj when three letters picked without replacement from {d: 2, j: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -1.1. Let l = 15 - 15. Which is the closest to y? (a) l (b) 0.4 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2800*m**3*q**2 - 9*m*q**2 - 1556*q**2 - q - 7 wrt m.\nAnswer: 8400*m**2*q**2 - 9*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.362088 centuries in months?\nAnswer: 434.5056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.9 in -1, 77, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 367.788141ms?\nAnswer: 0.0000006081153125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 PM and 11:22 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43 + -38. Solve -21 = -5*r - 4*v, -u*v - 1 = 4 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 2:48 AM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*s**3 - 68*s**2 - 72*s = 0. What is s?\nAnswer: -1, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210.9781 micrometers to meters.\nAnswer: 0.0002109781","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 + 39 = j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, g: 1, s: 3, f: 7, e: 5}. Give prob of picking 1 g and 1 f.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -33aa - -eb02?\nAnswer: b747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 5*q + 11 + 11 = 0, 2*j - 2*q + 6 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 84*g**2 - 163*g - 3534. Does 14 divide h(-24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q + 1. Let y be a(1). Suppose -8*r + 4*r + 40 = y. Suppose -2 = -5*h + 28. Solve 0 = -x + h*x + r for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5281769873 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4279801 is divided by 6815.\nAnswer: 6796","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1445\/372 + -47\/12. Let z be 6\/2*(-29)\/186. Let i = k + z. Is i != 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 330*0.33.\nAnswer: 108.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 307951 and 369?\nAnswer: 2771559","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -i + 19. Does 17 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6.203 and -203.\nAnswer: 1259.209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 15*n - 436. Give r(33).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2 + 1445*y - 900*y - 2 - 542*y. Let w(k) = -10 - 4 - 8*k + 5*k. Give x(w(f)).\nAnswer: -9*f - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-3*-3*-3*sqrt(78))\/(-2*sqrt(726) - sqrt(18)\/sqrt(3)*1))**2.\nAnswer: -162*sqrt(13)\/23 + 14238\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 115224 and 10831056.\nAnswer: 10831056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -y**5 - 5*y**2 + 10*y**5 - y**2 wrt y.\nAnswer: 540*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + 3 + 1 + -2*2. Let z be -4*(-4)\/(-3 - -7). Solve -n = -5, n + 0 = -z*s + t for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -385 and 25.9.\nAnswer: -9971.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 142 - 108. Let t = l + -30. Factor -24*q - 16 + t*q**2 + 22 + 14.\nAnswer: 4*(q - 5)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24154 - -24153.86973. Let b = -0.26 + 0.13. Let a = q - b. Round a to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 5*i**2 - 2*i. Let k(g) = 14*g**2 - 5*g + 1. Determine -7*b(d) + 2*k(d).\nAnswer: -7*d**2 + 4*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -6\/5, -0.02, -263, 48?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425) + -2 + 3 + -1)**2.\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 4*c**2 - 4*c + 4. Let b(q) = -q + 11. Let m be b(8). What is h(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-20)\/6*(8\/4 + -5). Solve -h = -5*t - 5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 355, 4, -3006 in descending order.\nAnswer: 355, 4, -3, -3006","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 0. Let r be (n\/3)\/(-1)*-6. Let o be (r\/(-10))\/(16\/40). Solve -2*h + 0*h = o for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of a**7\/1260 + a**6\/180 + a**5\/60 - a**4\/12 + a**2. Let t(k) be the second derivative of s(k). Factor t(u).\nAnswer: 2*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*c = 7, 0 = 3*m - 3*c - 0*c - 6. Let q(u) = -9*u**3 - u**2 + 4. Let v(p) = p**3 - 1. Determine m*q(w) - 4*v(w).\nAnswer: 5*w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4026 + -4021. Solve -2*d = -4*v + 20, -z*d + 4*v - 24 = 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.09 in 28\/73, 1\/8, -0.1, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 504*q - 508*q = -12 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(15)\/sqrt(3))**2 - (-5 + sqrt(80))**2.\nAnswer: -84 + 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 33 = y, -3*y + 100*t = 101*t - 189. What is the least common multiple of 2040 and y?\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.45544 - 0.14456. What is the closest to 0.7 in -1, 2\/11, 0, u?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggoggvggcgguuuu. Give prob of sequence gcv.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-11 - -11) + -11 - -2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of -w**3\/6 + 68*w**2. Let u(v) = v - 1. Determine -u(h) - 3*y(h).\nAnswer: -h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1033473667?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2398.\nAnswer: 2, 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 424 a factor of 190800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -22773, -22770, -22767, -22764?\n\"Answer: 3*v - 22776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*f**2 + 6*f - 6*f + 781*f**2 in the form a + t*f + q*f**2 and give q.\nAnswer: 799","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -6*j - 1. Let v(f) = f + 5. Let c be v(-6). Does 5 divide d(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44138.46 days in microseconds?\nAnswer: 3813562944000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - ((6 - (7 - 15)) + (-3 - 2))) + 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8941540 is divided by 1048.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 113 and 11?\nAnswer: 1243","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = 9*n + 29, -36 = 2*n - 30 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1099881?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 5*v - 2*v. Suppose 0 = 2*b - 4*j - 6, 4*j + 9 = 2*b + b. Suppose 4 = 4*n, b*n = -5*d - 7 + 175. Calculate the remainder when d is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 5*d - 3*u, 10*u = -2*d + 12*u + 18. Solve 0 = -f + d - 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 13*q + 10*q + 12 = 0, 5*q + 20 = 0. Solve f*i + 42 = 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -106, -226, -348, -472, -598, -726?\n\"Answer: -r**2 - 117*r + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g + 4*g - 7*g + 11*g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 63292\/(-28399)*5 - -3. Let u = o - -2\/4057. Find the common denominator of u and 38\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6, g: 1, p: 3, v: 1, f: 3, b: 5}. What is prob of picking 1 z and 1 b?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1197, 4276, 9363, 16464, 25585, 36732?\nAnswer: 49911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5203 and 1190541.\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21804\/632*(-1)\/(-9) - (-20)\/(-6).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*z + 20*z + 6, 4*j + z = 18 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3*m**3 - 1241*m**2 - 2916*m + 1661. Give h(416).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.06 and 127?\nAnswer: -7.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-25)\/10*(-4)\/5. Let j be 104\/28 + p\/7. Let s(b) = -4*b**3 - b**2 + b + 3. Let m(i) = -5*i**3 - i**2 + 2*i + 4. Determine j*s(f) - 3*m(f).\nAnswer: -f**3 - f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 4228 divide 15766633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 512 + 50. Let g = -324 + b. What are the prime factors of g?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/366 and -55\/732.\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 18*v - 20. Let i(p) = 37*p - 39. Let o(b) = 2*i(b) - 5*u(b). Calculate the remainder when o(-5) is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2253087 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: Let y(n) = -n - 8. Let a(g) = 11. Let d(p) = a(p) + y(p). Calculate d(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242 = 16*q - 41 - 53 for q.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1430051.571 rounded to the nearest 100000?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-2)\/(k*k\/(k*k**(-1\/11)))*k*k**(-3)*k**3*(((k*k*(k\/(k\/k**(-1)))\/k)\/k)\/k)\/(k**(1\/4)\/k)*(k**(-2\/3)\/k)**(-4) assuming k is positive.\nAnswer: k**(439\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 749689\/64 + -11714. Find the common denominator of 77\/320 and v.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -900348 or -900349?\nAnswer: -900348","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 256*z - 259*z = 12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 165 divided by -6.\nAnswer: -55\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from byjbbyyyybyjybyy. Give prob of picking 2 b and 1 j.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -2*v - 0*v. Solve -5*h - 20 = -v*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-16)\/36*-9)\/(5 - -5). Which is the closest to 0.2? (a) -22 (b) y (c) 3 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of x**6\/60 + 837*x**4\/8 - 253*x**3\/3 - 608*x**2 + 1. Find the first derivative of g(m) wrt m.\nAnswer: 6*m**2 + 2511","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of 2*o**2 + o - 4812. Let n(f) = -f**2 + 17*f + 4. Determine -2*n(u) + 9*w(u).\nAnswer: 2*u**2 + 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2*v - 5)*(14 + 6 - 5)*(1 - 2 - 4)*(4 - 3 - 3).\nAnswer: -300*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/2, 12, 2\/3, -0.06?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(63)*-2)\/(-3*sqrt(9)*2).\nAnswer: sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 600*v = -457*v + 282 + 2889 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 59 or 60?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 5 - 6*b)*(4*b + 2*b - 4*b) + (-3*b + 0*b + 5*b)*(2*b + 1 - 1) in the form n*b**2 + c + g*b and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**4\/3 + 8*v**3 + 100*v**2\/3 - 200*v.\nAnswer: -4*v*(v - 6)*(v - 5)*(v + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -111 - -79. Let r = 35 + u. Suppose -r*q - 468 = -9*q. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - (-4 - 0))*1\/(-5). Which is the nearest to -0.1? (a) i (b) 1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26563362?\nAnswer: 2, 3, 7, 29, 113, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 8 = -6*j + 4*s, -3*s - 6 = 5*j. Let c = -5 - -6. Solve j = -5*b + 21 - c for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.2 - -1. Let w(s) = 5*s - 18. Let r be w(4). Suppose 4*q + 40 = 4*p, q = -r*p - 0 + 5. Which is the second biggest value? (a) 2 (b) p (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -509.9.\nAnswer: -1019.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*m**2 - 51*m**2 + 280*m - 150*m - 162*m.\nAnswer: -m**2 - 32*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l = 2*l + 36 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h + 1. Let w(g) = -61*g**2 - 50*g + 3. Let q(m) = -3*l(m) + w(m). What is the second derivative of q(c) wrt c?\nAnswer: -122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/(-48)*(-5)\/60*9 and -29\/56.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -40, 5, 10.5, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 1. Let a(u) be the third derivative of -u**6\/120 - u**5\/15 + u**3\/3 - 3*u**2. Let l be a(-4). Is i smaller than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 169 divided by -3.\nAnswer: -169\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of -b**5\/20 - b**4\/2 - b**3\/6 + 5*b**2\/2 + 20*b + 1. Give o(-3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7247 or 7245?\nAnswer: 7245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -1770, -1, -5, 1, 4 in increasing order.\nAnswer: -1770, -6, -5, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51414, 51415, 51412, 51405, 51394?\nAnswer: 51379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -202 - -3?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/(-1))\/(0 + -1 + 3). Find the third derivative of 34*r**6 + 83*r**k - 166*r**2 + 80*r**2 wrt r.\nAnswer: 4080*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + (sqrt(68) - (sqrt(68) + -3*2*sqrt(68)) - sqrt(68)))\/(5*1*sqrt(4)) - (-1 + (sqrt(612) - 2*sqrt(612)*-5)).\nAnswer: -324*sqrt(17)\/5 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13445759 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of -w**3\/3 + 7*w**2\/2 - 2*w - 48. Let x be 3\/2*(-4)\/6. Let b(c) = -5*c**3 - c**2 - 2*c - 1. Let r be b(x). Calculate o(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (8 - 2 - 6) - 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2*-2 + 4*32 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4*f = 4*f - 3*h, -h + 2 = 0. Let w be (-16)\/6 + 1 - (-14)\/(-42). Put w, f, 1 in increasing order.\nAnswer: w, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 + 18. Which is the second smallest value? (a) 0.3 (b) f (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c - 3. Let d be q(12). Suppose 6*f - 3*f = d. Is f a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -219, -223, -227, -231, -235?\n\"Answer: -4*y - 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -301353.69 rounded to the nearest 100?\nAnswer: -301400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-t + 5 - 5)*(3 + 0 - 2) + 1572 + 54*t - 1572 + 67*t)*(-18*t**2 - 5*t**2 - 33*t**2) to d*t**3 + s*t**2 + l*t + f and give d.\nAnswer: -6720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 310151?\nAnswer: 193, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -582377, -1164754, -1747131, -2329508?\nAnswer: -2911885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 892*w**3 - 357*w**3 - 359*w**3 - 180*w**3.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 403 - 592. Is (r\/36)\/((-3)\/288) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 91*n**3 - 3 + 54*n**2 - 55*n**2 + 3*n in the form i + z*n + p*n**2 + o*n**3 and give o.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 75, -25, 1 in increasing order.\nAnswer: -25, -4, 1, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -154*(3872\/(-448))\/121.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + (-23)\/5 + 3. Let c = -23 + 17. Are t and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 685 = -q - 138*s, 29*q + 15 = 27*q - 5*s for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u\/(u**11*u))\/u*u*u)\/(u\/(u*u**(1\/5))))**(39\/5) assuming u is positive.\nAnswer: u**(-1716\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 - 3*c**2 - 3*c + 16. Let d be f(3). Suppose -33*q + 26*q - d = 0. Are q and -165 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -6. Let t(d) = 6*d + 5*d**k - 6*d**2 + 0*d**2 + 5. Let o = 2 + 3. Give t(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -10 (c) -247.3 (d) -7\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 25*w**3 - 1. Give p(-1).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*q**2 + 2*q - 2*q)*(2*q + q + 0*q) - 2*q**3 + 3*q**2 - 3*q**2)*(90*q + 81*q - 1 - 172*q) + (1 + 2 - 1)*(-3*q**4 + 2*q**4 + 3*q**4).\nAnswer: 12*q**4 + 8*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36 + 2*i - i + 23)*(2*i**4 + 3*i - 3*i).\nAnswer: 2*i**5 - 26*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -20, -3, 4, 172, 2 in descending order.\nAnswer: 172, 5, 4, 2, -3, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 118 + -114. Suppose -96 = -o*u + 2*d, 118 = 5*u - 18*d + 16*d. What is the lowest common multiple of (-1)\/2 + (-33)\/(-2) and u?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-9\/4)*r)\/((r\/r**(-12\/5))\/r))\/((r*r*r**(-17)\/r*r)\/(r**(12\/11)*r*r)) assuming r is positive.\nAnswer: r**(3177\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1097309 is divided by 1097278.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 + -5. Let w = p - 11.0000002. Round w to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32 - 28. Suppose -q*b + 2*f + 106 = 0, -30 = -b + f + 3*f. Let h = b + -22. Calculate the greatest common factor of h and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125309 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of -11 + (4 - 73)*4298\/(-6) and 8.\nAnswer: 49416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.790983ms?\nAnswer: 0.00001318305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 48\/27 - (-2)\/9. Suppose -4*y + 3*y = -b. Suppose y*s = 6*s - 1004. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zyy when three letters picked without replacement from yyzy?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 3 = -4*y + 2*x, -13 = -4*y + x. Let k(j) = -4*j + 2*j - y*j - j. Let f(s) = 2*s. What is f(k(h))?\nAnswer: -10*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47, -163, -379, -701, -1135, -1687, -2363?\nAnswer: -3169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 239 divided by -5\nAnswer: -239\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3742718.4869 from 0.05.\nAnswer: -3742718.4369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 199*r - 198*r = -57, -2*r = 2*l + 42 for l.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -63950 + -3.5.\nAnswer: -63953.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -220*q + 116*q - 218 + 101*q.\nAnswer: -3*q - 218","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34283?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 33899268*w + 342783399.\nAnswer: 33899268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-120)\/(-55)*(-6)\/8)\/((-56)\/11 + 5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3203*n*q**3*w**3 + 2*n*q**3 - 2*n*q**2*w**5 - n*q**2*w**2 + 160*n - 2*q**3*w**2 + 3*w**2 wrt w?\nAnswer: 19218*n*q**3 - 120*n*q**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 10:09 AM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19274141, -38548286, -57822431, -77096576?\nAnswer: -96370721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrfzr. Give prob of sequence rrfr.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3\/5, 1.1, 1, 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -6. Let y be (6\/10)\/(g\/(-15)). Suppose -3*w + 2*j + 27 = 0, -6 = -y*w + 4*j + 21. Calculate the highest common divisor of 63 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 238, 0.4, -2, -5 in descending order.\nAnswer: 238, 2, 0.4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 6*j + 9. Let b be (-3)\/(-1) - (16 - -1). Let a = b - -5. Let s(t) = 3*t + 4. Let l(h) = a*s(h) + 4*f(h). Let w(q) = 3*q**2. Give l(w(v)).\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -528, -1975, -4380, -7743?\nAnswer: -12064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 4*a = -6. Let r(d) = -5*d**2 + 3*d + 2. Suppose -2*y = -4 - 4. Let h(s) = -1 - 6 + 6 + y*s**2 + 0*s**2 - 2*s. Calculate a*h(t) - 2*r(t).\nAnswer: -2*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25666?\nAnswer: 2, 41, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 29615 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 + 11*h + 91 - h**2 + h**2 - 98. What is v(9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -107 - -114. Let o be (7\/(p\/(-4)))\/(5\/35). Let z(m) = -m**3 - 28*m**2 + 40. Let a be z(o). What is the greatest common divisor of 10 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -6*w**3 - 2*w**2 + 4. Let d(c) = -7*c**3 - 3*c**2 + 5. What is 4*d(s) - 5*r(s)?\nAnswer: 2*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 209, 221, 233?\nAnswer: 245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 86557441\/13 or 6658266?\nAnswer: 86557441\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62244, 62454, 62634, 62790, 62928?\nAnswer: 63054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25*b**4 + 54*b**3 + 124*b**2 + 493565*b.\nAnswer: -300*b**2 + 324*b + 248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10\/23 in 0.03, 0.09, 0.1, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 781649, 1563427, 2345203, 3126977, 3908749?\n\"Answer: -h**2 + 781781*h - 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 1\/7, 1, 2\/15, 0.064, -8, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 52 and 2172?\nAnswer: 28236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1187 + -783. Find the common denominator of 53\/16 and 1\/(-3) - g\/(-48).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45.20208 grams to tonnes.\nAnswer: 0.00004520208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.512 - 408.312. Let s = x - -368. Let f = -16.3 + s. Round f to 0 dps.\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 251628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 352*g - 175*g - 175*g + 2141.\nAnswer: 2*g + 2141","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 7289, -12 in decreasing order.\nAnswer: 7289, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 4312708.\nAnswer: 8625416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 + p + 1. Let q = -2 + 2. Let g be y(q). Is g >= 5\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = -3*g + 180 - 202 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11093*i**6 - 9103*i**4 + 6*i**2 - 7*i - 9116647 wrt i?\nAnswer: 1331160*i**3 - 218472*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-5)\/1 - -5) + -2. Is (3 - -40251)\/2 + (-2 - t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of -z**4\/4 - z**3 + 2*z**2 - 5*z - 95. What is x(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.242, -0.07, -6, -0.4, 0.4 in ascending order.\nAnswer: -6, -0.4, -0.07, 0.242, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 5 (b) -0.2 (c) 2 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 + 385 = 40*v. Let b(x) = 12 - 5*x - 6*x - 3*x**2 + x**3 - 8*x**2. Does 4 divide b(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-18\nAnswer: 1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 1.9, -3, 0.25 in descending order.\nAnswer: 1.9, 0.25, -2\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-3) - (-11)\/3. Suppose -51*z + 14 = -44*z. Let t be z + 0 - (-3 + i). Which is greater: t or 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 458732, 917468, 1376204?\n\"Answer: 458736*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + 11000000011110000100?\nAnswer: 11000000011110000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l + 11. Let f be y(-8). Let a(c) = f - 5 + 2 - 1 + 37*c. Does 14 divide a(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + -2. Let u be 32\/r*3\/(-12). Solve 2*m - 2*m**u + m**2 - 3*m = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - l = -9 - 11, 5*l = -3*q + 28. Suppose 4*m = q*m - 8. Suppose 0 = -2*s + 8, m*x - 4*s - 25 = 23. Calculate the highest common factor of 144 and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 + 33 = -6*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 217316.\nAnswer: 2, 11, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 6*g**3 - 9*g**2 + 6*g - 10. Let l be k(-9). Let m = l - -201484\/39. Let o = m + 14\/13. What is the nearest to -2 in 2, o, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*y - 3*y**2 - 2*y**3 - 2*y**2 - 51*y**3 + 3.\nAnswer: -53*y**3 - 5*y**2 + 24*y + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(1\/(-3)*6\/6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 24*g**2 + 5*g - 4. What are the prime factors of o(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -4 + 3*s + 20 - 5*s. Let u be f(0). Let q = 5 + -2. Solve q*j = -j + u for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2344 (base 10) to base 6.\nAnswer: -14504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 8*l**2 - 4*l + 2. Let d be h(7). Let n = -15 + d. What is the remainder when n\/6 + 4\/6 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13017 is divided by 106.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-3352 - -3298) + 92 + 1\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.55 + 1.57. Let j = 0.02 - q. Which is the nearest to -2\/7? (a) 4\/7 (b) j (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(288) + sqrt(2) + -2 + 5)*-6.\nAnswer: -18 + 138*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -35 divided by -5\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1743 + 1746. Let q(f) = f**3 - 4*f**2 + 2*f - 6. Determine q(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - q)*(1 + 1 + 4) + 12*q - 3*q - 6*q to w + u*q and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y + 2*l - 30 = y, y + 4*l - 24 = 0. Suppose 0*t + 3*t = 15. Suppose -t*h + y = -g, -4*h - 7 = -19. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r + 3, -r + 296 = -4*t + 303 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p - 5*p - 20*p**2 + 12*p**4 + 20*p**5 - 14*p**3 + 6*p**2 - p**3 + 10*p = 0 for p.\nAnswer: -3\/5, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 14 = -2*a, -2*a + 6*a = 4*s - 32. Let j(x) = -472*x**2 - 9 + 8*x + 473*x**2 + 14. Let o be j(a). Sort 0, o, 3 in decreasing order.\nAnswer: o, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 22\/7 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 143 - 80. Let f = 135 - j. What is the remainder when f is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, 1\/8761, 56\/9, -3.\nAnswer: -3, 1\/8761, 56\/9, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 270, 228, 186?\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1012 and 11247?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1057425995 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 5. Let h(l) be the third derivative of l**5\/60 + l**4\/12 + l**2 - l - 4182. Let d(k) = k**2. Give m*d(b) + h(b).\nAnswer: 5*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 49*h*k**3 - 18*h*k - 2*h - 1714*k**3 + 4*k**2 + 2*k with respect to h.\nAnswer: 49*k**3 - 18*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 PM and 3:06 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3228208 and 464?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nqnxqdnnx. What is prob of picking 1 x, 1 q, and 1 d?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1514325993?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 48 + -22. What are the prime factors of r?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -50 + 51. Put m, 5, 0 in ascending order.\nAnswer: 0, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/13464 and 103\/1122?\nAnswer: 13464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 - -3.9. Let k = g + -3.65. What is k rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 31*q**2 + 242*q + 265. What is t(-19)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 3*w + 15 = n, -4*w - 40 = -4*n. Let g = -71 + 74. Suppose -2*u - g*u = -n. Calculate the highest common factor of u and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 - 7)*2\/20. Which is the smallest value? (a) 4 (b) l (c) 0.4 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163 is divided by 83?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.341039 rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -9*l**3 - 2*l**2 - l - 3. Determine r(-2).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 4.522264 millennia?\nAnswer: 45.22264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/8 - (-9)\/2. Factor 8*y + y + 11*y**2 + h*y**3 - y**5 - 4*y**4 - 3*y + y**4 + 0*y.\nAnswer: -y*(y - 2)*(y + 1)**2*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from juujuj. Give prob of picking 1 u and 3 j.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.151337, 6, -19?\nAnswer: -0.151337","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -368 = -2*r + 1358. What is the hundreds digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36503 to the power of 1\/2, to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 588 = -s - m, -1176 = 2*s - 0*m - 4*m. Let q = -6473\/11 - s. Let u(a) = a + 6. Let w be u(-5). Do q and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 - -31. Is 98\/4 - t\/18 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4327449*4.\nAnswer: -17309796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-10\/3))**(-2\/17)\/(z**(-14))**(3\/5) assuming z is positive.\nAnswer: z**(2242\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -58995378 take away 0.02?\nAnswer: -58995378.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.83 - -5.7397. Let x = w + 0.0903. Let j = -5.7 - -6. Which is the fourth smallest value? (a) x (b) -2 (c) j (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 271 and -3\/2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-three halves of a litre?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + t - 198, -56*r - 3*t + 94 = -54*r. Solve 15*g = -r*g - 65 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 4 - 2*a + 2 - 6. Let m(c) = -14*c. What is m(k(z))?\nAnswer: 28*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29884?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6980 + 1292 = -752*m for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.154 (b) -2 (c) -5.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, n: 9, x: 7, g: 1}. What is prob of picking 1 g and 1 x?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5\/(-10))\/(1\/(-4)). Suppose -4*i - x*j + 14 = 0, i - 2*j = 3 + 3. Suppose -i*c = -3*c. Which is smaller: -3 or c?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -15615, -15590, -15565, -15540?\n\"Answer: 25*p - 15640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 9}. Give prob of picking 4 e.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 + g**2 + g - 60. Let n be r(0). Let x be 2*(-2 - n\/8). Solve x = -3*z - 4 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*i**3\/6 - 169*i**2\/3 - 247*i\/6 + 49\/3.\nAnswer: (i - 49)*(i + 1)*(7*i - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = 5*o + a - 40, -5*o = -4*a - 39. What is the smallest common multiple of o and 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.6 - 84. Let n = 96 + m. Let g = 9 - n. Which is the second biggest value? (a) g (b) -4\/7 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6254 (b) -0.03 (c) -5 (d) -223\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n**3 + 3*n**3 + 5*n - 6*n**2 + 3 + 2*n**2. Let j(c) = c**2 - c + 2. What is the remainder when a(4) is divided by j(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6810 + 39.81?\nAnswer: -6770.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5076604, 5076603, 5076602, 5076601?\n\"Answer: -y + 5076605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one tenth of a tonne?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-81)\/(-18) - 0)*4\/(-66)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/(-24)*(10 - 166326) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 10 = 3*o, w + 12 = 3*o + 4*w. Let q be 58\/4*o\/(2\/(-2)). Which is smaller: -28 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i. Let f(u) = -4*u**2 + 2*u. Calculate f(a) + 5*w(a).\nAnswer: -4*a**2 - 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 199097203 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2528 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -6*q + 46. Let h(j) = 3*j - 23. Let i(g) = 5*h(g) + 3*u(g). Differentiate i(y) wrt y.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c (base 16) to base 14.\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 3\/4*q**2 - 9\/2*q - 12 = 0.\nAnswer: -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -6*d**3 - 4*d. Let l = 206 + -202. Let q(f) = -f**3 + f. Calculate l*q(g) - u(g).\nAnswer: 2*g**3 + 8*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.31 - -0.21. Suppose -d + 0*d = 0. Suppose 5*g + 5 = -5, -3*a - 3*g = d. Do a and c have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 1868?\nAnswer: 1866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 12\/54 + (-1280)\/(-72) + -5\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 19, -5, -8, 2 in descending order.\nAnswer: 19, 2, -4, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**2 + 3*v**4 - 16*v**3 - 2*v + 34 - 41 + 7 as p*v**4 + w*v**3 + x + o*v**2 + u*v and give w.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + -2 + (-6 - (10 + -10 + 1))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from hhhhwhhwhh?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 4\/21 (b) -2\/3 (c) 19 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zxueuyyxc. What is prob of sequence xe?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 112 = 2*m, m + l - 249 = -3*m. Let c(w) = -42*w + 1. Let t be c(-1). Let x = t + -22. What is the remainder when m is divided by x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 452845 a multiple of 205?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5372347?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/9714624 and -23\/9120.\nAnswer: 48573120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 plus -0.308?\nAnswer: -8.308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -11. Calculate the common denominator of -50\/9 and 1\/i*508\/(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2 - 66954640*p + 280182738595600.\nAnswer: 4*(p - 8369330)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 11:47 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-14)\/(-21))\/((-2)\/(-9)). Factor 2 + w**5 - w - 4*w**4 - 4*w + w**3 + 2*w**2 + 3*w**j.\nAnswer: (w - 2)*(w - 1)**3*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*u = -47*u - 1539. Calculate the remainder when 185 is divided by u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1901*345\nAnswer: -655845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3385 + -2923. What is l rounded to the nearest one hundred?\nAnswer: -6300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*y**2 + 781093*y + 788161*y - 1569254*y.\nAnswer: 16*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 100*g**2 - 1000*g + 0 - 5\/2*g**3.\nAnswer: -5*g*(g - 20)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136399433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(720)*-1 - 3*(-2 + sqrt(720)) - (5 + (sqrt(720) - sqrt(720)*-3) + -3))**2.\nAnswer: -384*sqrt(5) + 46084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/2 + (0 - 0). Let g be (6\/4)\/((-3)\/(-4)). Let h(f) = 4*f + 33. Let o be h(-7). Solve -b*t - g*t = -o for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79\/8 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -42*x + 13*x + 15834. Let t be (0 - 0)\/(-2 - -4). Suppose t*l = 2*g + 3*l + 538, -2*g - l = x. Round g to the nearest 10.\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -313 - 0?\nAnswer: -313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -4*j + 51. Calculate the remainder when 123 is divided by g(5).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 16.5, 29 in descending order.\nAnswer: 29, 16.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5677 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*c - 157*t + 159*t + 93, -5*c - 2*t - 59 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + (sqrt(228)*-3)\/sqrt(12) - (sqrt(38)\/(sqrt(8)\/sqrt(4)))**2.\nAnswer: -19 - 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 76*h**4 + 83*h.\nAnswer: 912*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 - (8 - (-2 - 1 - (-52 + 50))) - 1?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*t = 14669 - 16047 for t.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, j: 3}. Give prob of sequence jzzz.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 22, 48, 84?\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o**5\/7 + 744*o**4 + 7368*o**3 - 351798*o**2\/7 + 528021*o\/7 - 233010\/7 = 0. What is o?\nAnswer: -1726, -15, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z**3 - 5*z**2 - 2*z + 3. Suppose 15 + 10 = 5*g. Let i = 2 - g. Calculate the remainder when v(i) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 7:37 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 - (9 + (14 - 28))) + -4 + 2?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 + -14. Suppose -5*t - 317 = -w*b, -2*b - 2*t + 136 = -0*t. Let l(k) = k**2 - b*k + 73*k. Let p(z) = 5*z. Determine p(l(s)).\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -20, 2\/3, -65739 in increasing order.\nAnswer: -65739, -20, 1\/3, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 r, and 1 f when three letters picked without replacement from {t: 1, r: 1, a: 1, f: 1, w: 1, h: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v = 9*v. Suppose -15 = -3*y - v. Suppose -4*s - 4*l + 822 = -2*s, 0 = -5*s + y*l + 2070. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -711, -502?\nAnswer: -711","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 11:29 PM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5*x**5 + 0*x**2 - 15*x**3 + 0 - 76\/5*x**4 + 0*x.\nAnswer: -x**3*(x + 1)*(x + 75)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*t - 3*t + 4*t)*(-t + 2*t**2 + t) + 7328 - 3*t**3 - 7231 + t**3 in the form h*t**3 + y*t**2 + v*t + m and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43846?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 136, -11, 76, -5, -1 in decreasing order.\nAnswer: 136, 76, 0, -1, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2217317 rounded to the nearest ten thousand?\nAnswer: 2220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16212893*o**5 - 51*o**2 - 119223*o + 1.\nAnswer: 972773580*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of y**8\/6720 - y**6\/60 - y**5\/12 - 5*y**2. Let c(v) be the third derivative of t(v). Does 21 divide c(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 771, -14, 2 in ascending order.\nAnswer: -14, 2, 771","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000080093331 to 6 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4 + (-5 + sqrt(30)\/sqrt(150) - sqrt(45)\/(sqrt(108)\/(sqrt(12)*2) - sqrt(9)))*3)**2.\nAnswer: -17364\/5 + 7524*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + 0)\/((-1)\/(-342)). Let h = -9581\/14 - g. Is 1 < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -3*a - 1. Let r be j(-1). Suppose -7*o - 60 = -r*o. Let p be (1 + -1)\/(o - -11). Which is greater: -0.1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6892 and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -100*f + 19*f**5 + 70*f + 49*f wrt f?\nAnswer: 380*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 5 - 13 - 2 + 171*j.\nAnswer: 171*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -4*s - 2*s. Let h(i) = 155*i**2 + 155*i + 85. Let y(b) = -11*b**2 - 11*b - 6. Let f(a) = s*h(a) - 85*y(a). Solve f(g) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10312 or -484674\/47?\nAnswer: -10312","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1344 + -1335. What is the highest common divisor of t and 423?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1618170859?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*j - 11*j + 16. Let s = 0 + j. Solve 12 = -4*i + 3*a, -3*i - 4*a = -0*a - s for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.045 - -36.045. Let r = -314.23055185 + 350.230551. Let k = z - r. Round k to seven decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002013991727 to seven decimal places.\nAnswer: -0.002014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 2*x + 3 = 2, 5*x = 4*g + 6 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129 = -o - 42*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of -o**6\/30 + 49*o**5\/20 - 575*o**4\/12 - 625*o**3\/6 - 715*o. Factor y(a).\nAnswer: -a*(a - 25)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -293*o + 32 = -301*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p - 8 = 5*x - 7*p, 0 = -2*x + p - 13 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/3 - 17*i**2\/3 + 9*i + 15.\nAnswer: (i - 15)*(i - 3)*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6218, -12391, -18564?\n\"Answer: -6173*t - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 + 3*z - 2. Let s be p(2). Let b be s*4\/(-20) + -15. Round b to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 22\/265 (b) 1\/5 (c) 1 (d) -1 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**2 + 17*h - 15. Suppose 8*g - 6 = 3*g - 3*s, 4*g + 3*s - 3 = 0. Let a(y) = 7*y - 2*y - 8 + 3*y - 2*y + g*y + y**2. Give 11*a(x) - 6*n(x).\nAnswer: -x**2 - 3*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 + 3*a + 2. Let h be x(0). Solve 100 = 27*y - h*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -5*i**2 + 5. Let u(v) = -5*v**2 + 6. Let k(t) = -6*o(t) + 5*u(t). Let f(q) = q**2 + 3. Let m be f(0). Let b(y) = -m*y + 3*y - 2*y. What is b(k(w))?\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -3*a - 40. What is the greatest common factor of 10 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.32 less than 0.2?\nAnswer: 2.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 3*b - 6*b. What is the common denominator of b\/(-14) + (-471)\/126 and 36?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -193753 + 17978 = -129*r + 35527. What is the highest common divisor of r and 1274?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 27 in 1, -21, -496?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 21. Let d = 5 + -1. Let h = p - d. What is h rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9079095 to the power of 1\/2, to the nearest integer?\nAnswer: 3013","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5127*y**2 + 912*y wrt y?\nAnswer: -10254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 408496 and 30976?\nAnswer: 1936","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + z**3)*(-1 - 2 + 4)*(-14 + 44 + 39) as k*z**3 + l*z + i*z**2 + p and give k.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 3*l. Let r = -38146\/9 - -3395012\/801. Is l >= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -4*x - 3, 7*o - 4*o - 12 = x. Let q(j) = 1 - 33*j**o - 5*j + 30*j**3 + j**2 + 1. Let r be q(2). Is r greater than or equal to -29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 1. Let o be (-2 + 1)\/(2\/(-8)). Let z(d) = -14*d**3 + o + 10*d**3 - 1. Let p = 0 + 6. Calculate p*l(q) - 2*z(q).\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/7)*x**(-4\/5)*x*x**(-6)*x**3)**(-6\/5))**(-48) assuming x is positive.\nAnswer: x**(-31104\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-36)\/(-27) + 4\/6. Suppose i*n - 192 = -n. Does 16 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2994 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-72)\/20*35*(-2 + -2)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 776740362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-12))**(-23) assuming t is positive.\nAnswer: t**276","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -58 and 31.67?\nAnswer: -1836.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -67505191784239?\nAnswer: 67505191784240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, w: 2, z: 10, s: 1}. What is prob of picking 1 w and 1 s?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**6)\/x*x*x**(-3)*(x\/(((((x\/x**(-1))\/x*x)\/x)\/x)\/x))**(-1\/21))\/((x\/(x**(2\/7)*x))\/x*x*x**4)**(-33\/5) assuming x is positive.\nAnswer: x**(2984\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -50*k**2 + 3830*k - 6003. Give r(75).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a minute in milliseconds?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -d (base 15) to base 8\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*k - 13 + 45 = -61. Let o = -4 + 8. Put -2\/5, 5, k, o in decreasing order.\nAnswer: 5, o, -2\/5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-2*(sqrt(25) + sqrt(25) + sqrt(100)\/sqrt(4)) - (sqrt(75) - (sqrt(75) - sqrt(75)*1))\/sqrt(3))\/((-2*sqrt(200)\/sqrt(4))\/sqrt(10)) + 0.\nAnswer: -3 + 7*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 2*g - 92, -40 + 38 = g. What is the least common multiple of 1248 and h?\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 32\/288469 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cxchhecetlelxtlxeeh. Give prob of picking 2 e.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5.6? (a) -0.5 (b) -182919 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*k*s**3 - 13*k - 6*s**4 + 26*s + 18 wrt s?\nAnswer: -6*k*s**2 - 24*s**3 + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 11:47 PM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/(-6))\/(66 + -65). Factor 5*z**4 + 0 + b*z + 6*z**3 + 3*z**2 + 3\/2*z**5.\nAnswer: z*(z + 1)**3*(3*z + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 435261 is divided by 72535?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1088, 4435, 10046, 17951, 28180, 40763?\n\"Answer: 5*z**3 + 1102*z**2 + 6*z - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 440671, 440677, 440679, 440677, 440671, 440661, 440647?\n\"Answer: -2*k**2 + 12*k + 440661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1e7 - -3?\nAnswer: 1ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 1216 (c) -0.6 (d) -1 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -80 by 17.\nAnswer: -80\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5 - (5 - -1)) + 5. Suppose u*h = -a + 904, 2*h - 7*a - 466 = -11*a. Calculate the greatest common divisor of 25 and h.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = k + 245 - 243 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -5, -3, -416 in ascending order.\nAnswer: -416, -5, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -523*r + 4163 - 16715 = 0 for r.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -574*v**3 + 377*v**3 + 187*v**3.\nAnswer: -10*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 6*m**2 + 8*m + 10. Let f be (-26)\/4 - (-2)\/(-4). Let u be y(f). Solve u*q = 2*l - 0*l + 3, l = 4*q + 1 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -6. Suppose p = -2*x - 773 - 1247. Round x to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 q when three letters picked without replacement from {q: 3, k: 4, o: 5}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 184 + -171. Find the third derivative of -7*r**6 - o*r**5 - 28*r + 13*r**2 + 5*r**6 - 170*r**2 + 28*r wrt r.\nAnswer: -240*r**3 - 780*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3280045, -3280106, -3280167, -3280228, -3280289, -3280350?\n\"Answer: -61*k - 3279984","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w**2\/7 - 1734154*w\/7 + 751822523929\/7 = 0. Calculate w.\nAnswer: 867077","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 4*n - 3*o, -5*n - 4*o - 16 = -7*n. Suppose 9*k = 5*k + 4*c + n, 0 = 4*c - 4. What is the greatest common divisor of k and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 199 + -198. Put o, -5, -8, 3 in descending order.\nAnswer: 3, o, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6c6c (base 15) to base 11.\nAnswer: 16357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -60*j**2. Let w(y) = y**2. Calculate d(w(s)).\nAnswer: -60*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -142 + 706\/5. Let i be (-2)\/(-8) + 14\/8. Suppose -9 = 5*o + s + 8, i*o - 4*s + 20 = 0. What is the nearest to 0.3 in x, -2, o?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.322507676 rounded to 4 decimal places?\nAnswer: -0.3225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - (0\/(-3) + 8). Let o = 10 + b. Suppose -o + 0 = 4*d. Which is greater: d or -8\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - -16 - 28 - -10.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164458?\nAnswer: 2, 7, 17, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6248 and -0.1?\nAnswer: 6248.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y, 3*y + 5 = -2*p - 5. Let z(q) = -q - 4. Let j(a) = 3*a + 11. Let m(d) = 4*j(d) + 11*z(d). Determine m(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 10, -91, -24, -3 in descending order.\nAnswer: 10, -2, -3, -24, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4*m = 2*a + 5, -4*a - m + 11 = 0. Let n(c) = -14*c**2 - 5. Let k(f) = -7*f**2 - 2. Let b(i) = a*n(i) - 5*k(i). Let w(u) = 7*u. What is w(b(p))?\nAnswer: 49*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2099 - -2136.83. Let v = 38 - k. Let o = 0.03 + v. Which is greater: 0 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1 - -2)\/((-6)\/(-2142)) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by -2 + (4*-16)\/(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*o - a = 579, 5*a = 4*o - 559. Let w(q) = -296*q**2 + 148*q**2 + o*q**2. Let x(t) = 28*t**2. Give w(x(j)).\nAnswer: -1568*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + h**2)*(4*h**2 - 3*h**2 - 3*h**2 + (-h + h + h)*(13*h + 8 + 11*h - 23*h)) as x*h**2 + t*h**3 + j*h**4 + k*h + u and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*n)*(6*n - 5*n + 7*n) + 6*n**2 - 2*n**2 - 2*n**2.\nAnswer: 18*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of -y**3\/6 - 3*y - 729. Let a(p) = 2 + 30*p**2 + 3 - 5. Determine g(a(o)).\nAnswer: -30*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-2))\/(144\/(-864)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 + 12*h**2 - 34*h - 76. Let a be l(-14). Is a != 39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 120*j - 111 + 16*j**2 - 29*j**2 + 17*j**2 + 815.\nAnswer: 4*(j + 8)*(j + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 560489 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**3\/2 + 470*y**2 + 7424*y + 29568 = 0 for y.\nAnswer: -924, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, -23, 3 in descending order.\nAnswer: 45, 3, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(6)*2)*-4.\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-22)\/4 + 6\/(-12). Let o be 8*(-1 + 4)\/f. Which is the nearest to 5? (a) 0 (b) -2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220*u - 12 = 216*u. Suppose -u*y + 2*f = f - 822, 2*f = -2*y + 548. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 2\/830428667 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.89, -24058, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3\/4 + (-9)\/((-288)\/2120) is divided by 1\/2 - (-132)\/8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2942*y**2 + 8788*y + 125. Determine k(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 29*s**2 - 28*s + 45. Let c(n) = -29*n**2 + n. Let f be c(1). Let j be d(f). Solve -4*i - j = -5*p, -p - 10 = 2*i + i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1391*-8.8378\nAnswer: -12293.3798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2357563.3 * 0.19.\nAnswer: 447937.027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - -11202210221231?\nAnswer: 11202210221223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 - 4*u + 7. Let s be t(5). Suppose -13*v + s = -11*v. Calculate the smallest common multiple of 7 and v.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 1)*(16 - 16 + 5*r)*(6 - 1 - 4).\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12 + -1002641?\nAnswer: -1002653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16055 and 285?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.5 and 200387249703.\nAnswer: 200387249703.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2657.8 - 2654.8. Which is the nearest to -8\/17? (a) 3\/2 (b) 1\/44 (c) -1\/5 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w. Let l(o) be the second derivative of 0*o**2 + 0 + 27\/4*o**4 + 0*o**3 + 205*o. Determine j(l(y)).\nAnswer: -81*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -168821734 * -5\nAnswer: 844108670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (2 + -5 - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 218904 and 82866.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 - 367*p - 33491. Calculate w(-171).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -203\/9 + 23. Let g be (-122)\/65*758\/(-254). Let h = 2\/1651 - g. Find the common denominator of h and k.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**2 + m**2 - 3*m**2)*(-20 - 10 - 2).\nAnswer: -32*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and -122374.\nAnswer: -122378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 3*r = -12. Suppose -4 = -5*z + 4*d, -d + 3 = -3*z - r*d. Solve z = -k - 0*k - 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18143617 to the power of 1\/2, to the nearest integer?\nAnswer: 4260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -177464 * 258.\nAnswer: -45785712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 259895755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = -533 + 551. Let v be (-4)\/y*2\/(-8)*-6. Solve -v*j - 1 = -2*m + 1, j = -5 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -23*h - 7. Suppose -2*x + 4*o - 32 = 0, -3*x - 17 = -4*o + 29. Let i = x - -9. Let s be t(i). What is the greatest common factor of s and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/17, 21590, -0.02 in ascending order.\nAnswer: -0.02, 2\/17, 21590","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 + f + 1. Let t(d) = -4*d**2 + 12*d + 9. Let n(i) = t(i) - 5*z(i). Let v(g) = g + 1. What is -n(q) + 6*v(q)?\nAnswer: -q**2 - q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) 3\/8 (b) -3 (c) 7722\/10237\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 143610563983 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 620.7 + -581. Let a = h + -37. What is a rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -53*p + 3 - 1 - 2 as k*p + x and give k.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - l**3 + 10 - 2*l**3.\nAnswer: -3*l**3 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 9*d**2 - 11*d + 8. Let a be f(8). Let w be (2\/(-8))\/(2\/a). What is the derivative of 1 + 0 + 4 + w*l**3 - 4 wrt l?\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45320 a multiple of 206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -31 divided by -18620082\nAnswer: 31\/18620082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 4*t**2 - 7*t + 7. Does 8 divide u(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -61, -18, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 2*n + n - 66 = 0, -4*n = 5*x - 83. Is x <= 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 7 + 6 + 7 + x - 6. Let a be t(-10). Suppose f + 5*c = -a*f + 500, 5*c - 200 = -2*f. What is the highest common factor of 10 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, x: 2, i: 2, j: 1}. Give prob of sequence gj.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 64832?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - 3) + 15\/4. Which is smaller: s or -2\/85?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -5*g - d - 135, 3*g + 85 = -4*d. Let y(a) = a**2 - 36*a + 69. Let l be y(36). Let w = l + g. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and 56293084.\nAnswer: 337758504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 4*a + 0*a = 12, -4*a = 16. What is the tens digit of ((-93)\/r)\/((-24)\/64)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 342 and 158058.\nAnswer: 3003102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + f**3 + 2 + 3*f**3 - 15*f**3 - 6*f**3 + (-2*f + f + 0*f)*(-3*f**2 + f**2 + 0*f**2) + 53*f**3 - 244 + 244.\nAnswer: 38*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = l + l - 2*s, -2*s = 10. Let m be 2*(-1510)\/8*l. Is (-2)\/(-10) + m\/(-25) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 3*s**2 + s - 4. Let q(b) = b**2 - 5*b + 1. Let c be q(1). Determine u(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10207561 divided by 27.\nAnswer: -10207561\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6279 and 506.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 12 (b) 3\/4 (c) 1\/2 (d) 17520 (e) -11 (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1\/2*-1)\/1)\/(945\/28350)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -4594?\nAnswer: 3\/4594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3*b**3 - b**2 + 4*b - 1. Calculate s(2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4491 divided by 3\nAnswer: -1497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 4*g + 177 = 202, 4*d = -2*g + 20 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 291 - 160. Let r(f) = -7 - 4*f**3 + 7*f**2 - 5*f**3 - 125*f + x*f. Let l(h) = -h**3 + h**2 + h - 1. What is 6*l(m) - r(m)?\nAnswer: 3*m**3 - m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 22138.6 meters?\nAnswer: 22138600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnnnnnnnnx. Give prob of sequence xnn.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004594229096 rounded to seven decimal places?\nAnswer: 0.0004594","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) 0.3 (c) 1\/3 (d) 1 (e) -0.8 (f) 2\/23 (g) -9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2\/5 + 9873366*x\/5.\nAnswer: 3*x*(x + 3291122)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 66389 (base 10) to base 13\nAnswer: 242ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 3. Suppose -5*x + 23 = -w*x. List the prime factors of x\/3 - 3\/(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(2299)*2 + -1*(sqrt(171)*-6 - sqrt(19)))**2.\nAnswer: 82*sqrt(19) + 31940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 161140*j - 321830*j + 161098*j.\nAnswer: 408*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l. Let p(d) = d - 2. Let n(s) = -1. Let x(u) = -6*n(u) + 3*p(u). What is x(v(q))?\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zc when two letters picked without replacement from czo.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-4) + -2)\/(61\/183).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 52*n + 54. Let x(y) = 17*y + 18. Let g(u) = 5*o(u) - 16*x(u). Differentiate g(f) with respect to f.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6, 22, 100, 252, 502, 874, 1392, 2080?\n\"Answer: 4*u**3 + u**2 - 3*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 15 - 5. Let k = -200 - -204. What is the greatest common factor of u and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 g when two letters picked without replacement from gwwwqdd.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, o: 6}. What is prob of picking 3 x and 1 o?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 16126006?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21899, -43541, -65183, -86825, -108467, -130109?\nAnswer: -151751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u = 4026 + 286. Let g = u - 264. Is 21 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -47, 82, 197, 292, 361, 398?\n\"Answer: -y**3 - y**2 + 139*y - 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - (-4 - 3)*-1. What is the third smallest value in 5, -2\/9, l?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**3 - x**3 + x**3)*(-2 + 2 + 2*x**2 + (0*x - 6*x + 4*x)*(-3*x + 4*x + x) - 35*x + 35*x - 7*x**2).\nAnswer: 36*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - -4)*2*-2. Let z = d - -48. Let -16*p + 0*p**3 - 22*p**3 - z*p**2 + 10*p**3 = 0. What is p?\nAnswer: -2, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9 + 12*n**2 + 15 - 41 with respect to n.\nAnswer: 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/21 + (-414682)\/62664. Let b = 5\/373 - m. Find the common denominator of b and -19\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -86a7 - -4?\nAnswer: -86a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/5*(-62)\/(-217)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.45 + -1.65. What is the closest to y in -8\/7, -1\/5, 1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of p**5\/60 + 7*p**4\/24 - 2*p**3 - 3*p**2. Does 3 divide l(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2741695, -5483388, -8225081, -10966774, -13708467?\nAnswer: -16450160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + 100*l - 1584. What is the remainder when v(17) is divided by 51?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7785 divided by -1557?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1643177 (base 10) to base 13.\nAnswer: -456bc3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/5)*m**(-5)*(m**(1\/3))**4)\/(m**(-3)\/(m*(m\/m**(-2\/11))\/m)*m\/m**2*m**2*m) assuming m is positive.\nAnswer: m**(-311\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 590?\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**2\/v)**(1\/24))**(1\/7)\/((v\/(v**(4\/7)\/v))\/(v**7\/v)*(v\/(v\/v**(2\/9)))\/((v**6\/v)\/v)) assuming v is positive.\nAnswer: v**(4211\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7407, 6232, 5047, 3852, 2647, 1432, 207?\n\"Answer: -5*u**2 - 1160*u + 8572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-4\/11)\/b*b)\/b)\/(b\/(b*b**(1\/17))))\/((b\/(b**(-3\/2)*b)*b)\/(b**(-3)*b)) assuming b is positive.\nAnswer: b**(-2171\/374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.08138495*-5.\nAnswer: -0.40692475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 9, -2*s + 3*f = -58 - 25. Solve 2*r + 4 = 2*w, -4*w - 5*r - s = -0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -951 divided by -14753.\nAnswer: 951\/14753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f + 1982?\nAnswer: 1991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 436352 divided by 8.\nAnswer: 54544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.87 (b) -0.2 (c) 0.2 (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 3*l - 21 = 0, 3*p = -0*p + 4*l + 7. Let j be -1 - (-2 - -4) - -1*6. Let d be 141\/(-45) + ((-1)\/20)\/(6\/(-16)). Sort p, d, j.\nAnswer: d, j, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1415 divided by 5\nAnswer: -283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from opoeeoesscg. Give prob of sequence epee.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -110, -195, -280, -365, -450?\nAnswer: -535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/3302145 and 47\/121.\nAnswer: 36323595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2834\/71, 40, -2\/13 in decreasing order.\nAnswer: 40, 2834\/71, 5, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 1)*(2*m - 2*m**2 - 2*m) + 2 - 4 - 16582*m**2 + 13497*m**2.\nAnswer: -3083*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 18*s**2 - 17*s + 3. Let y be j(-17). Let h(q) be the first derivative of 2\/3*q**y + 1\/2*q**2 - 2 + 0*q. Factor h(m).\nAnswer: m*(2*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 231 and 2233.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 11:17 PM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.103465461 and 13996.6.\nAnswer: 13996.496534539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 6:28 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 77.56752ms?\nAnswer: 0.001292792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 653 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 181628 divided by -1\nAnswer: -181628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67303730.\nAnswer: 2, 5, 13, 517721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 10:15 PM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**(-27)*r*r**(-2\/5) assuming r is positive.\nAnswer: r**(-127\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -6*z + 2*y + 3354, -1347 = -2*z - y. Calculate the greatest common factor of z and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2517.424mm in micrometers?\nAnswer: 2517424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2085*a - 4077 + 7825 = 109203 + 84280 for a.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 9.5 and -65.949.\nAnswer: -56.449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 - -21. Suppose o*y = 222 + 246. Suppose -3*k - k + y = 0. What are the prime factors of k?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 200240 and 3578?\nAnswer: 358229360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - 1 - -6 - -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -58*2\/(-260) + 7 + (-4895)\/715. Let i be 26\/10 - (-1)\/(-5). Factor 0 + t*c**4 + 12\/5*c**2 - i*c**3 + 0*c.\nAnswer: 3*c**2*(c - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (2 - 3)) + (-7 - (2 + -13))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in 4832, 4\/23, -1\/4, 2?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-7) - (-1)\/(21\/123831) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*((-3)\/(-2))\/((-204)\/(-136))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-8))**29\/(g**(-1)*g**(-5\/11)) assuming g is positive.\nAnswer: g**(-2536\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 3:42 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 7*k + 38. Let f be h(-5). Suppose -2*m = -f*r - 114, 4*m - r - 216 = 12. Let t = m + -53. Solve -3*n + 21 = -2*l, -2*n - t*l - 3 + 1 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 smaller than -543561?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffjj. Give prob of sequence jfjf.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.88 + -5.93. Which is the third biggest value? (a) 5\/3 (b) 0.1 (c) h (d) -2\/7 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 496 divided by 2.\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5*-3 - (5 - 7). Let g = -10 - v. Calculate the lowest common multiple of g and 31.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 641?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of 821*z**4\/12 - z**3\/3 - 1084*z**2 + z + 1203. Find the second derivative of i(c) wrt c.\nAnswer: 1642","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1044982 and 598.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3622*m**2 - 60*m + 161. Is z(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110110 + 11010110010?\nAnswer: 11011101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 6 = -0. Let g = -0.1551 - -0.0551. Which is the smallest value? (a) x (b) g (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -40006\/21037 less than or equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1629 = -115*u + 939 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -10. Let w = -220 + 216. Suppose -3*l = 2*l - 70. What is the nearest to n in -0.1, l, w?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4424*j**2 + 8848*j**2 - 4423*j**2.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 - 0)\/(-7 + 3 - -1). Does 5 divide 7*(340\/119)\/(0 - o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a + 0*a + 0*a)*(-112 + 6 - 18).\nAnswer: -372*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 104210388 a multiple of 1086?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -277 - -294. Solve c = -2*m + 13 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/12, 0, 4\/19, 4, 5\/12?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1337270*q**3 + q**2 - 1110933*q wrt q?\nAnswer: -8023620*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + 11*n - 17. Let h be z(-12). Let j be (399 - -1)\/(263997\/52800 + h). Round j to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*o**3 + 32*o**2*s**3 - 61*o*s**3 + 3*s**3 wrt o.\nAnswer: 18*o + 64*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-4)*4 - (-85 - -9). Let c(n) = -19*n + 4. Let d be c(-4). Let k = d - j. Solve -5*b + 5*w = -0*w - 25, -2*b = -w - k for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-5*((sqrt(3) - (-1 + sqrt(243) + sqrt(243))) + sqrt(192)*-1 + 2).\nAnswer: -90 + 750*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1313435 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(13)*2)**2 - sqrt(13)) + -2)*-1*2.\nAnswer: -100 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u**2 + 2262405*u - 58820502 = 0. Calculate u.\nAnswer: 26, 754109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*w - 33 = -17*w + 5*o, 3*o = -6*w + 39 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1431402 - 342032?\nAnswer: -2323434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28 + -30. What is the nearest to 1 in b, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -z**4 - 14116324*z**3\/3 + 9410884*z**2\/3 = 0?\nAnswer: -4705442, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + 108619\/(-11092) - (-2)\/(-8)?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, s: 1, w: 2, j: 1, h: 2, t: 2}. What is prob of picking 1 j and 1 t?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*a - 8*a + 146 = -4*c, 3*a + 122 = -c + 40 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -40*h**4 + 28*h**3 + 8*h**2 + 4*h - 4. Let w(g) = 41*g**4 - 28*g**3 - 8*g**2 - 5*g + 5. Let n(p) = 5*m(p) + 4*w(p). Factor n(r).\nAnswer: -4*r**2*(r - 1)*(9*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 117*9.47577\nAnswer: 1108.66509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12206 or -54999?\nAnswer: -54999","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(-7 - (-32)\/5) + 43\/(-15).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -12*k**3 + 3*k**2 - 6*k - 3. Let n(l) = -26*l**3 + 7*l**2 - 15*l - 7. Calculate 4*n(h) - 10*s(h).\nAnswer: 16*h**3 - 2*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r + 8. Let s be j(6). Let b be 2\/(6 - 7) - (0 - s). Solve -5*a = -b*u + u + 4, -2*a + 4*u = -16 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 - 6*t**2 - 7*t - 6. Let k be i(-4). Let b(m) = -m**2 - 12*m + 6. Does 26 divide b(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) + -1*sqrt(170) + sqrt(170))\/sqrt(10) - (sqrt(68) + 2).\nAnswer: -sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-70)\/(-15))\/(-7) - (-6)\/9. Suppose -11*l + 130 + 68 = j. What is the least common multiple of l and 48?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12740\/2184)\/((-40)\/(-8)*1)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5*3.22405\nAnswer: -16.12025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzpzpzzpzzpz. Give prob of picking 1 p and 1 z.\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*b + 2*b + 8. Let t = 4 - b. Calculate the remainder when t is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -449, -720, -995, -1274?\nAnswer: -1557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 425.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, -5, 49825 in increasing order.\nAnswer: -5, -2, 0, 49825","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y + 22. Let m be i(-9). Suppose 3*s = -3*r + 33, 5*r = 3*s - 2*s + m. Suppose 0 = 3*j - r - 263. List the prime factors of j.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-287)\/4305)\/(11\/132).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, c: 1, y: 4, z: 2}. What is prob of sequence yc?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.08 (b) -1\/5 (c) 0.2 (d) 5 (e) -8429 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -62343 divided by -3\nAnswer: 20781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, z: 1, b: 2, h: 2, g: 2}. Give prob of sequence zbg.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1021225 is divided by 340285?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42 + -47. Put -1, -3, u in descending order.\nAnswer: -1, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59421 is divided by 9898?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 4*g + 11, -4 = 5*g - 3*g. Let k be ((-2)\/438)\/(35 + 4424\/(-126)). Which is greater: k or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -7*i**2 + 15. Let g(k) = -3*k**2 + 7. Let b(j) = 9*g(j) - 4*u(j). Let q be (1 - 4\/2)*0. List the prime factors of b(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 93*t + 849. What is l(-9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -3, 9, 1\/2, 18.\nAnswer: -22, -3, 1\/2, 9, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -1246 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1182, -2360, -3538?\n\"Answer: -1178*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -551*b**4 - 567.\nAnswer: -2204*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-68)\/14 - (4\/(-2) - -4).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3313, 3, 0, 5 in descending order.\nAnswer: 5, 3, 0, -4, -3313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57 and 152?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) -1 (c) -5 (d) 6789 (e) -8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(60)\/sqrt(3))\/sqrt(4) - sqrt(5)) + 0 + -6*(sqrt(5) + -1) + -6*((-1*(sqrt(405) - (sqrt(405) + 1)))**2 + 5).\nAnswer: -30 - 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1255 and 54718.\nAnswer: 273590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/4 (b) 3 (c) 41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1617 - -86814?\nAnswer: 851a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1107 is divided by 210.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 516.0778 - 515.4. What is s rounded to two dps?\nAnswer: 0.68","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/((-40)\/(-12)))\/(30\/20).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -62+-24\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -5. Suppose 0 = -x - 3*x + 3*b + 1025, -r*x + 5*b + 1023 = 0. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1723651 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.7383 to zero decimal places.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of k**5\/30 + 2*k**2. Suppose -5*a = 15, 2*a + 3*a = -w - 13. Let s(d) = 2*d**w - 4*d**2 - d**2. Determine s(u(b)).\nAnswer: -12*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.5 and -7.\nAnswer: -8.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2591206?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 + 3 - 4)*(0 + m + 0) + (-3*m + 2*m - m)*(1 - 2 + 0))*(-20*m**2 + 24*m - 46*m + 23*m) to the form w*m**2 + o + r*m + x*m**3 and give x.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 - 2*m - 105. Let g be f(11). What is the common denominator of g\/264*(144\/2 - 1) and -11\/68?\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*c = -27*c + 46*c - 438 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -38167, -76367, -114619, -152923, -191279?\n\"Answer: -26*n**2 - 38122*n - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -684, -1367, -2050, -2733?\n\"Answer: -683*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (-6)\/(-9))\/(18\/27).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3*n. Let b(r) = -84*r - 107. Let k(v) = -b(v) - 6*g(v). What is the first derivative of k(d) wrt d?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -123, -914, -3011, -7050, -13667, -23498, -37179?\nAnswer: -55346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/8*3\/4*(-12)\/(-27).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*r**3 + 89025*r + 1012 - 20*r**3 - 89009*r wrt r.\nAnswer: -81*r**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(1539) + sqrt(1539)*-2)*2 + -5 + -1)**2.\nAnswer: 216*sqrt(19) + 6188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-59)\/(-1 - -2) - (15 + -14). Let g = i - -64. Suppose -3*z = 2*s - g*z - 91, 59 = s - 5*z. What is the greatest common factor of 11 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cgwgcgccc. Give prob of sequence gw.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 0*h + 8 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 0, 2*r + 366 = 5*r + 3*d. Let w = -120 + r. Solve -3*x - 8 = f - 0*x, -4*f - w*x - 2 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 1582*h - 30045. Calculate k(19).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10471 is divided by 334?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 PM and 9:32 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -215*r + 50. What is the thousands digit of x(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 288*z - 9 = 289*z - 2*u, -z = -4*u + 19 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i - 262 - 154 = -40*i. What is the greatest common factor of 4212 and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h. Let x = -160 + 159. Let y(w) = w**2 + w. Determine x*i(j) + y(j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (801\/(-18))\/((-1)\/(-4)*-2). Solve -c*d = -84*d + 10 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 3*c - 3 = h, -3*h - 2*c + 22 = 0. Calculate the remainder when 4 is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 21 + -9 + 0\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 410893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 27 (b) -1\/8 (c) 2\/599979 (d) -3\/7 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/1 - (-100)\/(-25). Solve -a + 2\/3 + 1\/3*a**v = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39126 divided by -13042?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(500) + sqrt(500)*1 + 1 + -5 + (1 + sqrt(500)*1 - (sqrt(500) - (3 + sqrt(500) + 2))))**2.\nAnswer: 420*sqrt(5) + 4549","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/4 of a millisecond in microseconds?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0611952 grams in milligrams?\nAnswer: 61.1952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 3*x**2 - 2*x - 4. Let u be n(4). Suppose -u*b = -2*b + 18. Let m be ((-4)\/(-6))\/((-2)\/b). Solve -2*l - 18 = -3*l - m*d, 5*d - 13 = 4*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2210*t**2*v**2 - 32596*t**2 + t*v**2 + v**2 wrt v?\nAnswer: -4420*t**2*v + 2*t*v + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 211315\nAnswer: 845260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-30 - -40)\/(-2 + (3 - -4 - 4)). Solve -g - d = -o, -4*o + 10 = 2*g - 6 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*f - 16*f - 9 = 0, 4*f = 2*v - f + 39. Determine w, given that 18\/11*w**v - 202\/11*w - 34\/11 - 294\/11*w**2 = 0.\nAnswer: -1\/3, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*q**2 - 2*q**2 - q**2)*(2 + 4 + 0) to l*q**2 + s + x*q and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 19*r**2 - 88*r - 16. Determine l(8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 - -6. Let d(k) = -11*k**2 - 4*k + 7. Let f(l) = 34*l**2 + 11*l - 22. Let s(c) = w*d(c) - 4*f(c). What is the first derivative of s(n) wrt n?\nAnswer: -30*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 1.3.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/8 (b) -23 (c) -11 (d) 9 (e) 250\/3 (f) -0.5 (g) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a milligram in micrograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -162 divided by -30422\nAnswer: 81\/15211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7)\/14 - 5\/2. Let i = o + 59\/19. Let c = 5 + -8. What is the biggest value in 1, i, c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y + 16015. Is c(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 3*f**2 - 4*f + 2. Let l be m(-4). Suppose -l*w + 10 = -7*w. Let q be (-74)\/14 - w\/7. Which is bigger: q or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 w, 1 a, and 1 e when four letters picked without replacement from {a: 1, w: 6, k: 9, e: 1}?\nAnswer: 27\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 10 (b) -6264847 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -546 + 1051. Let c = -448 + i. What is the remainder when c is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -6*y**2 - 69*y + 110. Let t(x) = -x**2 - 14*x + 22. Let m(d) = 2*o(d) - 11*t(d). Calculate the remainder when 65 is divided by m(13).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*k + 4*x, -5*k - 2*x = -6*x - 17. Let p be ((-10)\/(-6) + -1)\/(246\/2583). Suppose -2*l + 1 = g - 2, 3*l - 3*g - 9 = 0. Solve -p = k*q - l for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -13) + -27 + 44 + -20?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5230 divided by -3\nAnswer: -5230\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f. Let b(w) = 53*w. Calculate b(d(o)).\nAnswer: -106*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**2 - 3*b - 3. Let i(z) = -2*z**2 - 4*z - 4. Let v(h) = 3*i(h) - 4*r(h). Let s = 244 + -215. Let w(d) = 7647 - s*d - 7647. Determine v(w(q)).\nAnswer: 1682*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -244 - 21. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 48885 and 48884 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3978462 and 148.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -30\/89? (a) 2\/7 (b) 0 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-80)\/(-30) + (-4)\/6. Suppose x = -g*x + 189. What is the greatest common divisor of 7 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 4*g**5 - 108*g**4 + 1084*g**3 - 5172*g**2 + 11872*g - 10560 = 0.\nAnswer: 3, 4, 5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55700 is divided by 32.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -4*k + 9*k - k**2 - 5*k. Let y(f) = -21*f**2. What is c(y(t))?\nAnswer: -441*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*x + 78 + 74 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -2*f + 180, -5*t + 2*t + 4*f + 198 = 0. Let i be (-438)\/(-14) - 14\/49. What is the highest common factor of t and i?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -65.5*-0.09\nAnswer: 5.895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/(495963\/(-49595) - -10)?\nAnswer: 2, 5, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 3 + 2*n)*(4 - 4 - 5*n) - 104*n + 104*n + 5*n**2 + 3)*(-5*n + 2*n + n).\nAnswer: 10*n**3 - 6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3335*w**3 - 1032*w**3 + 468*w**3.\nAnswer: 2771*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r - r + 4*r + r + r**3 + 2 - 3*r**2 + 1. What is x(3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58466828 a multiple of 322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2. Suppose 0 = -2*a - 5*m - 3, 2*a + m + 4 = -3*m. Let k = a + 6. Let r(j) = -j**2 + j**2 - k*j**2. Calculate r(b(g)).\nAnswer: -2*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 222 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 603, 1140, 1685, 2238, 2799, 3368?\nAnswer: 3945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a week in minutes?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3488729 is divided by 164?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 243837673 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 6*a**2. Let m(w) = -w + 1. Let t(u) = u**2 + 10*u + 15. Let f be t(-7). Let z(y) = 3*y - 5. Let x(v) = f*z(v) - 30*m(v). Give g(x(i)).\nAnswer: 864*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -5*p**2 - 14*p - 17. Let y(h) = -14*h**2 - 42*h - 50. Let a(u) = -11*w(u) + 4*y(u). Let o be a(-10). Let q = o + 1. Does 14 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 432 + -337. Suppose 461*a + q = 466*a. Solve -a*o = -14*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 + 12\/(-2) + 2\/2. Let k = -6 - -6.4. Let r = k + 2.6. Which is the nearest to s? (a) -1 (b) r (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -15 - -28?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 10 = 2*l. Solve -1 = c - l*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1249820*h + 1249823*h - 39*o - 144 = 0, 32 = -4*h - 4*o for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -3.5. Let b = -42.84 + 37.84. What is the nearest to -2\/3 in b, 1\/5, s?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 372*r**2 - 6*r - 3. What is the units digit of o(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(((-16)\/6)\/8))\/((2145\/1157)\/55).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*h = -21*h - 176. Let k = -30 - h. Calculate the remainder when (-25)\/(3*2\/(-12)) - -2 is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2335938 by 3.\nAnswer: 778646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48188615 by 477115.\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21865192 * 0.07.\nAnswer: -1530563.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 44961810, 89923623, 134885436, 179847249, 224809062, 269770875?\n\"Answer: 44961813*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*b**2 + 25*b**2 + 23*b**2)*(2 - 1 + 0) + 6*b**2 + 7*b - 7*b as f*b**2 + j + u*b and give f.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of 17*j**7\/210 - j**6\/40 + 8*j**3\/3 + 15*j**2. Differentiate a(t) wrt t.\nAnswer: 68*t**3 - 9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, i: 11, v: 5}. Give prob of sequence iv.\nAnswer: 55\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of j**5\/20 + j**4\/12 - 2*j**3\/3 - j**2\/2 - 7*j. Let i be a(2). Is 1 + 158 + i + -1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3869.982 millimeters?\nAnswer: 386.9982","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 3 + 4. Let f(d) be the third derivative of -d**6\/120 - 7*d**5\/60 - d**4\/4 - 3*d**3\/2 + 4*d**2. Is f(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 8, y: 5}. Give prob of sequence ccy.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1181 - -1135 - (-2 - 81)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6106319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.046 - -7.546. Let f = m - 5.5. What is the closest to f in -0.4, 3, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 185720 and 417870?\nAnswer: 1671480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -1 - (-18)\/(-6) - 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 673*p**3 + 9482*p - 9482*p + 2227*p**3.\nAnswer: 2900*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**3 + 3*z**3 - 2*z**3)*(-8280 + 15798 + 11023 + 13819 + 14601 - 2551).\nAnswer: -44410*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 2*x - 69 = 2*p, 2*p = -2*x + 36. Let b(o) = -1032*o + p + 1429*o - 3. Let l be b(6). What is l rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -0.27, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 301991 by -205.\nAnswer: -301991\/205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137 - 103 - 18*s**3 + 22*s**3.\nAnswer: 4*s**3 - 240","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71495?\nAnswer: 5, 79, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of g**4 - 44*g**3\/3 - 236*g**2 + 1088*g - 3257. Factor z(y).\nAnswer: 4*(y - 17)*(y - 2)*(y + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -3*w + 47, 3*w + 6 = 3*c - 3. Suppose 23*z = 15*z + c. Which is smaller: -1 or z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 127157 or 127156?\nAnswer: 127156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 + 7*u + 5. Give h(10).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 PM and 3:03 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 728, 2848, 6380, 11324, 17680, 25448?\n\"Answer: 706*t**2 + 2*t + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -55403 + 41376. Is w not equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -9*j**3 - 6*j**2 - 17*j - 18. Let v(n) = n**3 + n**2. Let k(h) = -6*v(h) - x(h). What is the first derivative of k(i) wrt i?\nAnswer: 9*i**2 + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*n - 495 = -161*n + 233*n - 9848 for n.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (15 - 1 - 21 - -20).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 100505 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - w - 120 = 0, 452 = b - w + 419 for b.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8889*o + 8887*o + 9 = -5*m, 6 = -5*o + 3*m for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -57.80587 (b) 1\/7 (c) 3 (d) -0.1 (e) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -13707.4 and 0.14.\nAnswer: -13707.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in sixty-four fifths of a century?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 144376 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -135 + 134. What is the smallest value in 3, g, -0.5, -0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1644 - -241001?\nAnswer: 236024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 754241 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 13, z: 1, t: 3}. Give prob of picking 2 b and 1 t.\nAnswer: 117\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11928 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-4) - (-120)\/(-96).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35 + -115. Suppose 0 = -26*u - 120 - 36. What is the units digit of 24\/5*m\/u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -103321 + -304?\nAnswer: -103625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 603121518 divided by 725778.\nAnswer: 831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 v, and 1 a when three letters picked without replacement from {a: 3, n: 1, w: 2, v: 1}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.5 + 5. Let j = d - 4.5. Let u = j - -0.4. Round u to 0 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 4*o + 55. Let k = o + 16. Suppose g + 136 = k*g. Is g a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 754 - 47313?\nAnswer: -46448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17799 and 1396.\nAnswer: 71196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 169 - 50 = 0. Suppose 3*k + j = 4*h - 0*h, -h - 5*k + 10 = 0. Solve 0 = 2*s - 3*s - h for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -1371\/7 (c) -5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 2 = -3*g. Let s = 1.8 + -6.8. Which is the nearest to -1? (a) -4 (b) s (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-5*(sqrt(76) + 1 + sqrt(76))*-3 - (5 + 3*(sqrt(76) + 0 + sqrt(76))))**2.\nAnswer: 960*sqrt(19) + 43880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from {y: 6, s: 9, b: 2}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*j - 34*j = -19968. List the prime factors of j.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 54*v - 24 = 58*v - 2*k + 50, -3*v = 3*k - 156 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-6))\/(2 - 0). Let o = -19\/14 + 6\/7. Which is the third biggest value? (a) 3 (b) o (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 9.9, -10640.9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -20577 (b) -3 (c) 0.126 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 - -37. Suppose 23 + r = 4*u. Solve 2*z - u = -4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1457 - 95?\nAnswer: -1530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of -f**3\/3 + 7*f**2 - 8*f. Let c be n(6). Suppose l = 4*i - 6, -4*l - i + 5 + 5 = 0. Is c >= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03246 + 525910886.\nAnswer: 525910885.96754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5293*x**2 + 2158 - 1072 - 1086.\nAnswer: 5293*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 AM and 7:32 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(1573) + -1 - sqrt(1573)) + 5)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {j: 6, k: 2, w: 4, h: 1, o: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + g - 4*g = 261, 5*b + 2*g - 456 = 0. Suppose 0 = -2*p + 4*p - 120. Calculate the highest common factor of b and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 10 - 2 + 1 + 0 - 2 + (2 - 1 - 2)*(0 + 0 - 1))*(-2*m - 2*m - 4*m).\nAnswer: 88*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 120333 (base 4) to base 14\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y\/((y*y\/y**(3\/10))\/y))\/((((y*y*y**(-21\/5)*y)\/y)\/y)\/y))\/(y**(-12\/11))**(-13) assuming y is positive.\nAnswer: y**(-169\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6964226*p**4 - 519879*p**2 + 6.\nAnswer: -167141424*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 19. Let u = 15 - l. Sort u, -5, -1.\nAnswer: -5, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 7*a**2 - 5*a + 9. Let o(w) be the first derivative of -4*w**3\/3 + 3*w**2\/2 - 5*w + 1078. What is 5*o(f) + 3*x(f)?\nAnswer: f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**(-3)\/x))\/x*x\/((x**(-1)\/x*x*x)\/x)*(x*(x\/x**2)\/x*x)\/(x*x\/x**1) assuming x is positive.\nAnswer: x**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 50\/(-750)*(-18315)\/(-33)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 11, 0, 4, -9?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a week in hours?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = -9*p + 3, -11 = -73*p + 78*p + 7*h for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -36 - -34941?\nAnswer: 34905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.3138 rounded to one dp?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 117, 107, 85, 45, -19, -113, -243, -415?\n\"Answer: -b**3 - 3*b + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 47, 884, 1\/4, -1 in descending order.\nAnswer: 884, 47, 1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 37501288 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 53*l**2 + 13438*l + 26884. Give k(-2).\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24775238 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*z - 1 + 1)*(443 - 443 - 5*z) - 1 + 1 + 2*z**2 to the form f*z + o*z**2 + t and give o.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of 0*i - 7*i**2 + 0*i**4 + 0*i**3 - 1\/60*i**5 + 0. Let x(f) be the third derivative of -5*f**4\/8 - 3*f**2. Determine x(c(h)).\nAnswer: 15*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 123\/520 and -107\/6040.\nAnswer: 78520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -4, -261 = -9*w + 4*w + p. Suppose -3*g + w = -37. What are the prime factors of g?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 3:17 PM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 14*n**2 - 16*n - 36. Let j be z(-13). What is the units digit of (-107)\/j*3*-17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - 25972.\nAnswer: -25977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 96, 102, 120, 156, 216, 306, 432, 600?\n\"Answer: z**3 - z + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 407622617 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3119138?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/124 and -53\/93?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-70) - (-32)\/80\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88483.6 seconds to microseconds.\nAnswer: 88483600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*x + 10 = -30*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((-3)\/4*15\/(5130\/96)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of 2*w**3\/3 + 1. Let p(l) be the third derivative of 27*l**5\/20 + 599*l**2 + 2. Determine p(j(f)).\nAnswer: 324*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 5. Suppose -2*m + 109 = 3*s, 5*s = -4*m + a*s + 215. What is the remainder when m is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1098, -1101, -1106, -1113, -1122, -1133, -1146?\n\"Answer: -t**2 - 1097","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8568434*a - 8568438*a + 17136864*a.\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -4*b, -27*b + 25*b = 3*u - 21 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1\/2, -138, 0 in increasing order.\nAnswer: -138, -5, -1\/2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17765, -31678, -45589, -59498, -73405, -87310, -101213?\nAnswer: -115114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30 - 30. Let s(d) = q - 28*d**2 - 23*d**2 + 45*d**2 + 2 + d. Calculate s(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + u = -71, -2*v + 1158*u - 1162*u - 46 = 0 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 445 and 4170990?\nAnswer: 371218110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -42 (b) -0.1 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 2)*(-4*r + 4*r - 2*r**2) - 7*r**2 - 2*r**2 + 0*r**2 + (3*r - r + 2*r)*(2*r + r + 6*r) - 2*r**2 - 3*r**2 + 2*r**2 - r**2 + 4*r**2 - r**2.\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3*sqrt(44)*-2 + -4 - (-4 + sqrt(176) + (-1 + sqrt(2156) - sqrt(2156))))**2.\nAnswer: 64*sqrt(11) + 2820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -24488*i**3 + 13*i**2 + 12*i - 4. What are the prime factors of f(-1)?\nAnswer: 5, 59, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6923 is divided by 301?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -89 - -89.000168. Round n to five decimal places.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1708\/366)\/(4\/6).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 772833 times -2\nAnswer: -1545666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 9*c**2 + 10*c. Let f be a(2). Suppose 0 = 52*h - f*h + 37840000. Round h to the nearest one hundred thousand.\nAnswer: 9500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of -928*v**3\/3 - 307*v**2 + 1388. Find the second derivative of z(n) wrt n.\nAnswer: -1856","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.5 - -1.9. What is the second smallest value in 0.5, -2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*g - 2*g + 3*g)*(212*g + 218*g - 1095*g + 286 + 466*g + 214*g) in the form c*g + r*g**2 + i and give r.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17998583?\nAnswer: 17998583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3861014 and 1930507?\nAnswer: 3861014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 614 (b) 2 (c) -5 (d) 4 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -14, 2\/19, 54, -2\/21, -2?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*h - 7*h + 6*h)*(1 + 2 - 1).\nAnswer: 34*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1302286 (base 10) to base 8\nAnswer: -4757416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iccszmt. Give prob of picking 1 s, 1 i, 1 z, and 1 c.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -90910 less than 397?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + -2*(-2)\/4. Suppose 3*w = p + p + 3, 9 = -p + 4*w. Solve -5*z - 2*z**t + p*z**2 + 2*z**3 + 3*z - z**3 = 0 for z.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**2 - 57*o - 26. Let f(a) = -a**2 + 29*a + 12. Determine 22*f(n) + 10*x(n).\nAnswer: -2*n**2 + 68*n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2*i + 1694 = 0, -1694 = -2*f + i + 4*i. List the prime factors of f.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from roojjhhjrrorrrrjorrr. What is prob of sequence rr?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1779423.5602 - -30.\nAnswer: -1779393.5602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence enk when three letters picked without replacement from {e: 2, k: 4, n: 5}.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**5*t)\/((t\/((t**(-10\/3)*t)\/t))\/t))\/(t**(3\/2)*t)**(3\/11) assuming t is positive.\nAnswer: t**(131\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -238263*u**5 + 3*u**4 + 2*u**2 - 2243093*u.\nAnswer: -4765260*u**3 + 36*u**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g**2\/17 - 226*g\/17 - 132\/17 = 0. What is g?\nAnswer: -22, -3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 20 = -0*s + 2*s, 5*u - 5*s = -30 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 6 (b) 6\/25 (c) 487\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 8558*m + 0*m**3 + 6*m**3 - 8560*m - 2*m**2 - 2 - 9*m**4 + 0*m**2 + 8*m**3 as b + r*m + v*m**2 + y*m**3 + w*m**4 and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 370*a**3 + 281*a**2 wrt a?\nAnswer: 2220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -11*h**3 - 4*h. Let j(f) = -98*f**3 - 35*f. Let d = 182 + -217. Calculate d*w(c) + 4*j(c).\nAnswer: -7*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -173658, -347448, -521238, -695028, -868818, -1042608?\n\"Answer: -173790*j + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 8588424, 2, 4, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 - 3*s - 10. Let d(x) = x**2 - 3*x - 9. Let n(c) = 6*d(c) - 5*h(c). Let u = -7 - -11. Let z be n(u). Solve 4*y - 8 = -z*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 0*k = -5*k + 20, 0 = -2*k - 8. Calculate the common denominator of -31\/16 and 0 - 10*s\/272.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8776881.1 rounded to the nearest 100000?\nAnswer: -8800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/24)\/((-14)\/(-168)*-15).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2. Let p(h) = 7*h**2. What is p(n(b))?\nAnswer: 7*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2 + 3312*r - 2742336.\nAnswer: -(r - 1656)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -35 - 3*k**4 + 40 + k**3 - k**4 + 11*k**4 as l*k**2 + z + s*k + b*k**3 + u*k**4 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**5 + 8*r**5 - r**5 + (-3*r**4 + 2*r**4 - r**4)*(4 - 2*r - 4).\nAnswer: 9*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17042 is divided by 17?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 4*r**2 + 50*r + 22. What are the prime factors of g(-14)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21*g**2 - 9916*g**3 + 9915*g**3 - 26*g**5 - 73*g**2 + (5*g**4 - g**4 - 3*g**4)*(-2 + 2 + g) + (4*g - 2*g - 4*g)*(0*g**4 - 2*g**4 + g**4).\nAnswer: -23*g**5 - g**3 - 94*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 115266202 to the power of 1\/5, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millennium in centuries?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((276\/(-12))\/115)\/(114\/(-20))\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -4*i + 89. Calculate z(19).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -65*g**2 - g + 4. Let c(x) = -32*x**2 - x + 2. Let y(n) = 7*c(n) - 4*i(n). Let f be (3\/2 + 0)*(4 - 6). Is y(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6441130 (base 7) to base 12.\nAnswer: 319257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -6*q**3 - q**2 + 25*q - 34. Give l(4).\nAnswer: -334","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1944 - 1924 - 1946 + 5814 - 8*m**3.\nAnswer: -8*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.4 (b) 7\/132 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/7 + (-1 - -19). Let u be 3\/(v\/(-2)) - 4\/(-8). Which is the closest to u? (a) 0.3 (b) 5 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18865616 and 1232?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + -11 + (2 - 0) - 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44\/3 + -40\/3. Which is the fourth biggest value? (a) -1 (b) 8 (c) -2 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1265959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 70 + -35. Let h = 7 + r. Calculate the highest common factor of 6 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhgcgjhhchh. Give prob of sequence jhg.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1115, 1130, 1145, 1160, 1175, 1190?\n\"Answer: 15*c + 1100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10011011312 - 1?\nAnswer: 10011011311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-16)*2*(-6)\/(-3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11001001100110001 (base 2) to base 10.\nAnswer: -103217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m + v - 7, m - 2*v = -3*v + 3 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231831 is divided by 9076.\nAnswer: 4931","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.534663 grams?\nAnswer: 0.000534663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 98187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2679?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 18953, 37931, 56909?\n\"Answer: 18978*o - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**4 - a**4 - a**4 + (-4 + a**2 + 4)*(4*a - 2*a - 3*a)*(189*a + 403*a + 109*a).\nAnswer: -705*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 9:37 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -3*c**3 + c**2 - c - 1. Let s(v) = 267*v**4 - 12*v**3 + 4*v**2 - 4*v - 270. Let p(q) = 12*n(q) - 3*s(q). Differentiate p(k) wrt k.\nAnswer: -3204*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 o when two letters picked without replacement from {d: 2, f: 5, m: 2, o: 3}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25741\/32 - 804. Let c = -18029 + 432841\/24. Find the common denominator of c and o.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 6*t - 28 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 21*n + 14. Let f(r) = r + 1. What is d(l) - 14*f(l)?\nAnswer: 7*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.6 - -0.60007. What is c rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.116 in 1, -10, -2\/923, -2\/5?\nAnswer: -2\/923","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 21*i - 108. What is n(6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2375e (base 15) in base 4?\nAnswer: 123212033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -50*p**2 - 33*p**3 - 35*p**3 + 52*p**2 + 2 - 8 + 73*p**3 - 3*p**4 to l*p**3 + u*p**4 + h*p + o + b*p**2 and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 53 + -53.1258. What is u rounded to three decimal places?\nAnswer: -0.126","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**4\/5 - 2*k**3 - 14*k**2\/5 - 6*k\/5 = 0 for k.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32 + -32. Let n be 290\/22 - 10\/55. Is i less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -643791049, -643791050, -643791051?\nAnswer: -643791052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4376278853 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 552166 + 371.195.\nAnswer: 552537.195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (21\/126*-2)\/(7\/(-2))\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/3*(-18)\/(-36). Let y = 147\/4 + -37. Sort y, f, -5 in decreasing order.\nAnswer: y, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/6)\/(-2*48\/(-24))\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 247229 and 12?\nAnswer: 2966748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 326531 is divided by 13167.\nAnswer: 10523","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3*x - 4*p - 16 = 0, 4*p = 3*x - 26. Suppose -64 = -x*g - 14. Solve -f = 4*f - g for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2217 a factor of 739657710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 + a - 1. Let t(h) = -8*h**2 + 6*h + 38. Give 6*b(d) - t(d).\nAnswer: 2*d**2 - 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1482.344 rounded to the nearest ten?\nAnswer: -1480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1238, 3807, 7930, 13607, 20838, 29623?\nAnswer: 39962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 7*v**2 + v + 10. Give q(6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -168 divided by 3392?\nAnswer: -21\/424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-12)\/(-54) + 160\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(228)\/(sqrt(1728)*-2).\nAnswer: -sqrt(19)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2856822 and 5?\nAnswer: 14284110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 8 = 16, -5*n = -2*v - 498. What is the least common multiple of n and 3276?\nAnswer: 22932","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5264688 by 1298.\nAnswer: -4056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 44 (base 11) to base 8\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-6 + -1 - (1 - 7)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 - -1 - (-1761924)\/(-56772).\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 163\/(-2282) - -25565*(-1)\/(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4 = -2*i, 2*i + 2*g = 6*i. Let f = 0 + -0.1. Which is the closest to f? (a) -2\/3 (b) 0.2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.06821 and 2?\nAnswer: 1.93179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 174\/253?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w + 1. Suppose 5*d + 0*d - 21 = -j, -3*j - 2*d + 11 = 0. Let u = 4 - 6. Let m = u + j. Give g(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j + 25 = -4*j. Let g be (1\/2)\/(-1)*(-310)\/j. Suppose 121 + g = 19*o. Calculate the remainder when 38 is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - ((2 - 6) + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q**3 - 2*q**3 - 4*q**3)*(q**2 - 2*q**2 - 3*q**2) - 76*q**5 + 189*q**5 - 63*q**5.\nAnswer: 58*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 9:32 PM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1285 is divided by 605?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 6*m + m + 5*m. Let q(t) = -t + t - 1768908*t**2 + 1768907*t**2. Give h(q(d)).\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/27 in -3, 105, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (58 - (56 - -2)) + 1 + (1 - 10)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 AM and 10:11 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 358365?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than -9862?\nAnswer: -9861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/2 and -89\/194.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11328415 to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 7. Suppose -2*w - 4 = 0, 4*s = 7*w - 9*w + 8. Let y(b) = 15*b - 41. Let x be y(s). Solve -m*j = -4*z - 2, x*z + j - 4 = -18 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -5*g**2 - 5*g - 4. Suppose 14*b = 16*b - 10. Let l(c) = 6*c**2 + 6*c + 5. Let p(k) = b*x(k) + 4*l(k). Find w such that p(w) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a. Let j be -7 - (6\/3)\/(-2). Let t(x) = x**2 - x + 1. Let c(r) = r**2 - 9*r + 1. Let n(l) = -c(l) + 3*t(l). Determine j*i(p) + n(p).\nAnswer: 2*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 432014 (base 7) to base 16\nAnswer: 12578","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 244, 2184, 1, -4 in ascending order.\nAnswer: -4, 1, 244, 2184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35 - 52. Let o = u + 12. Which is the closest to 1\/2? (a) -2 (b) o (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 202, 521, 984?\nAnswer: 1591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (1 - -1) + -16 + 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -669 + 7*b**3 + 3*b**4 + 669 + (-b**3 + 5*b**3 - 2*b**3)*(0 + 0 + 2*b) to the form z*b**3 + v*b + g*b**4 + a + c*b**2 and give z.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30 - (-38 + 30) - 26?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -955 - -1710. Let a = 1820 - z. Calculate the common denominator of 33\/5 and (-1)\/9*a\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100 = -5*m - 105 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10097 - 10097.1. Which is the nearest to 0.2? (a) g (b) -3.95 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - 10*s**2 + 18*s - 46. Let x be o(-10). Let n = x - -380. List the prime factors of n.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j, 1 n, and 1 c when four letters picked without replacement from {j: 6, o: 2, v: 4, n: 4, c: 1, b: 2}?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.082 and 170.8.\nAnswer: 170.882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -566*q**3 + 0 + 504*q**3 + 0 + (1 + 2*q**3 - 1)*(-2 + 2 - 1) - 2*q**3 - 1 + 1 to b*q**2 + a*q + i + f*q**3 and give f.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 24 + 15)*(0*k**5 + 4*k**5 - k**5) + (-k - k - 9*k)*(-4*k**4 + 2*k**4 + k**4).\nAnswer: 122*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = n - 4*o, -7 = -0*n - n + 2*o for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22*i - 228*i + 0*i)*(i - 2*i - i) + (-3*i + 7*i - 3*i)*(i - 2*i - i) - 3*i**2 + 4*i**2 - 2*i**2 as h*i**2 + p*i + g and give h.\nAnswer: 497","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hx when two letters picked without replacement from {z: 1, h: 5, k: 3, x: 1, d: 2, w: 1}?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1002466 not equal to -1002466?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16572?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 3. Let l(j) = s*j - 2 + 2*j - j**3 - 2*j**2 - j. Calculate the remainder when l(-4) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 79 + -74. Suppose 0*w - 3*w + 3 = 0. Let p(k) = k**3 + 5*k**2 - 8*k + 4. Let b be p(-6). Solve w - b = -i*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 3. Let s = 0 + -1\/3. Sort -0.4, s, y.\nAnswer: -0.4, s, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5\/4, -9, -2\/13, -0.3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 2:54 PM?\nAnswer: 12:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 114*o**2 + 3 - 4 - 77*o**2 - 71*o**2. Let q(n) = 2*n**2. Give t(q(g)).\nAnswer: -136*g**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of -11*s**7\/21 - 55*s**4\/8 + 169*s**2. What is the second derivative of a(m) wrt m?\nAnswer: -1320*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - y + 3*y)*(-25*y + 40*y - 22*y - 4*y + 26).\nAnswer: -11*y**2 + 26*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.4612379ml?\nAnswer: 0.0004612379","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 2*d**2 - 2*d + 6. Let l be r(-3). What is the derivative of -13 + 17 + 6*y**2 + 12*y**l - 3*y**2 wrt y?\nAnswer: 36*y**2 + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -114237021*3.\nAnswer: -342711063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1663774586?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -16*w**3 + 156*w**2 + 29*w + 121. Calculate s(10).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 531 + 2?\nAnswer: 533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - 4*u + 2. Let p be (-6)\/4*2\/3. Let r be (p + -2)\/((-6)\/10). What is s(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1718 - -2532. Calculate the highest common divisor of l and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 746?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - 18846 + 18846 - n**3 + n. Let x(g) = 20*g**3 - 4*g**2 - 4*g. Determine 4*j(u) + x(u).\nAnswer: 16*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5286 is divided by 377.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 266 + -165. Suppose -5*c + 5*o = -145, 4*o = -3*c - 0*o + f. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 0 + 5*d**2 - d - 6 + 6. What is j(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-5) - (-36)\/90. Let v be (3 - 1 - g)*2. Suppose -q = -v*q + 2. Solve 0 = -q*s - 0*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26 - -14. Let s(h) = -h**3 - 12*h**2 - h + 13. Let v be s(b). What is the highest common divisor of 5 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 249 + -143. Suppose 12 = -3*f, a + 154 = 4*b + 5*f. Is b a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1497767 or -1497788?\nAnswer: -1497767","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 32637197 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 183584 and 1840?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32 and 83374144.\nAnswer: 83374144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 3*s + 10, 4*s + d - 15 = -2*d. What is the closest to s in 2\/21, -1, 1\/4?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 197497?\nAnswer: 41, 4817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 4:59 AM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 116611485, 116611490, 116611485, 116611464, 116611421, 116611350?\nAnswer: 116611245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**2\/7 + 72*y\/7 + 10 = 0 for y.\nAnswer: -35, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 3*w - 24. Let d(b) be the third derivative of 5*b**4\/24 + 5*b**2 - 8*b. What is d(g(h))?\nAnswer: 15*h - 120","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 927\/(-927)*24\/64*((-4)\/(-9))\/2?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*s + 15 - 15 to n + w*s and give w.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 788.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 4) + 6 + -2 - 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6689 or -6570?\nAnswer: -6689","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10589 divided by -4?\nAnswer: -10589\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1344 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(110)\/(sqrt(30)\/(sqrt(15)\/sqrt(5))))**2.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 215 = 2*y + 49. Is 11 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2012100110021010 + -12?\nAnswer: 2012100110020221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2034206 to three decimal places.\nAnswer: -0.203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = u, 0 = -3*w - u - 2*u + 12. Put -4, 3, w, -2 in ascending order.\nAnswer: -4, -2, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32077577 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: What is -3 divided by -956526?\nAnswer: 1\/318842","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert b33 (base 16) to base 11.\nAnswer: 2177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 18*x - 45*x + 2 + 8*x + 17*x. Calculate o(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1)*x\/(x**(-2\/7)\/x)*x*x*(x\/x**2)**13)**(-12\/5) assuming x is positive.\nAnswer: x**(816\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, s: 3}. What is prob of picking 2 x?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.3 rounded to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-24)\/(-20)*(-10)\/3. Let o = 9 + a. Find the third derivative of 2*c**4 - 2*c**4 + c**2 + 0*c**4 + o*c**5 wrt c.\nAnswer: 300*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 100293?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 + -5 - -11) + -3. Let s(w) = w**2 - 4*w + 11. Let k be s(4). Suppose -q = k*l - 72. What is the highest common divisor of 30 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + 4*z**2 - 4*z + 4. Let m(s) = 3*s**2 + 2*s**3 - s**3 - 6*s**2 - 13*s - 3 + 16*s. Determine 4*m(c) + 3*w(c).\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 2. Let y be w(0). Solve 0 = y*n - n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -2*q**2\/21 - 755476*q\/21 - 71342998322\/21 = 0.\nAnswer: -188869","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 746*m - 736*m = 13730. What are the prime factors of m?\nAnswer: 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 AM and 11:26 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 3) to base 14\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -76998 by -38499.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.12 (b) 0.4 (c) 0.1 (d) 3 (e) -44.67\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-21)\/((15\/(-5))\/1). Let g(f) be the third derivative of -1\/10*f**5 + 0*f - f**2 + 0*f**3 - 1\/4*f**4 + 1\/120*f**6 - 3. Determine g(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 64*m = 19*k - 65*m - 69, 7*k - 23 = 2*m for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 3*b = 201, -2*b = -5*u - 9 + 379. Let a = u - 65. What is the second derivative of -a*c**2 + 0*c**2 - 4*c - c + 4*c**2 wrt c?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 12*a**2 - 2*a - 3. Let v be u(-2). Suppose -3*w - t - v = -170, -2*t + 202 = 5*w. Is 13 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 586364.\nAnswer: 2, 17, 8623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 510413.\nAnswer: 127, 4019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -160 (base 10) in base 12?\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1023 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 234.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42888 - 50012 = -17*j - 2001. What is the remainder when j is divided by 50?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -0.7 (c) 2\/247 (d) 0.1 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -227.2 to the nearest 10.\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t**2 + 11*t - 9. Let z be l(1). Let p(s) be the third derivative of 0 + s**2 + 0*s**4 + 0*s**3 + 0*s - 1\/240*s**z. Suppose p(o) = 0. What is o?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 523760618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 24\/(-5) + 4 - -1. Let s = 0.24 - 0.04. Which is the closest to n? (a) s (b) 4 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17235401 to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 2 = t. Let i = -5 - t. Is -2*(-1)\/(-4) + (-94)\/i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}